Tootfinder

A space-time interface-fitted method for moving-subdomain distributed control problems with energy regularization
Quang Huy Nguyen, Phuong Cuc Hoang, Van Chien Le, Thi Thanh Mai Ta
https://arxiv.org/abs/2506.10924

A space-time interface-fitted method for moving-subdomain distributed control problems with energy regularization
This paper investigates a space-time interface-fitted approximation of a moving-interface optimal control problem with energy regularization. We reformulate the optimality conditions into a variational problem involving both the state and adjoint. This problem is shown to be equivalent to our optimal control problem. Based on fully unstructured, space-time interface-fitted meshes, we propose and analyze a Petrov-Galerkin approximation of the problem. An optimal error estimate with respect to a …

Gotta drive 50km with my own car (and fuel) in my (would have been) free time because one of my colleagues used an insurance form in the truck but never replaced it.
So when I needed one (hit a wall at a customer while backing truck into the tight ass space without mirrors - sun kept blinding me), there was none so I now have to go back there to get the paperwork sorted...
Lovely...

First images of the Sun's south pole!
Solar Orbiter is the first space probe to look at the Sun's poles – and finds the magnetic field there in a state of turmoil. The Sun's magnetic field is currently undergoing a flip. During its latest flyby of the Sun at the end of March this year, the Solar Orbiter space probe had its first clear view of our star's poles. First images:

Discrete-space and -time analogue of a super-diffusive fractional Brownian motion
Enzo Marinari, Gleb Oshanin
https://arxiv.org/abs/2506.09921 https://

Discrete-space and -time analogue of a super-diffusive fractional Brownian motion
We discuss how to construct reliably well "a lattice and an integer time" version of a super-diffusive continuous-space and -time fractional Brownian motion (fBm) -- an experimentally-relevant non-Markovian Gaussian stochastic process with an everlasting power-law memory on the time-evolution of thermal noises extending over the entire past. We propose two algorithms, which are both validated by extensive numerical simulations showing that the ensuing lattice random walks have not only the same…

‘Ticking Time Bomb’ of Ocean Acidification Has Already Crossed Planetary Boundary, Threatening Marine Ecosystems: Study https://www.ecowatch.com/ocean-acidification-planetary-boundary.html

‘Ticking Time Bomb’ of Ocean Acidification Has Already Crossed Planetary Boundary, Threatening Marine Ecosystems: Study
A new study has found that ocean acidification is not only getting worse, but crossed its “planetary boundary” roughly five years ago.

Quasi-normal modes and echoes of generalized black hole bounces and their correspondence with shadows
Albert Duran-Cabac\'es, Diego Rubiera-Garcia, Diego S\'aez-Chill\'on G\'omez
https://arxiv.org/abs/2506.10814

Quasi-normal modes and echoes of generalized black hole bounces and their correspondence with shadows
We study the quasi-normal modes (QNMs) of a family of generalized black bounces interpolating between regular black holes and traversable wormhole solutions according to a single extra parameter $a$. Firstly, working with a generic spherically symmetric space-time with arbitrary radial function and an anisotropic fluid matter source, the general equations for the gravitational waves are obtained. Then, we focus on such particular space-time metric and use the time-domain method to find the evol…

Phase-Space Engineering and Dynamical Long-Range Order in Memcomputing
Chesson Sipling, Yuan-Hang Zhang, Massimiliano Di Ventra
https://arxiv.org/abs/2506.10149

Phase-Space Engineering and Dynamical Long-Range Order in Memcomputing
Digital Memcomputing machines (DMMs) are dynamical systems with memory (time non-locality) that have been designed to solve combinatorial optimization problems. Their corresponding ordinary differential equations depend on a few hyper-parameters that define both the system's relevant time scales and its phase-space geometry. Using numerical simulations on a prototypical DMM, we analyze the role of these physical parameters in engineering the phase space to either help or hinder the solution sea…

The stochastic heat inclusion with fractional time driven by time-space Brownian and L\'evy white noise
Olfa Draouil, Rahma Yasmina Moulay Hachemi, Bernt {\O}ksendal
https://arxiv.org/abs/2506.08275

The stochastic heat inclusion with fractional time driven by time-space Brownian and Lévy white noise
We study a time-fractional stochastic heat inclusion driven by additive time-space Brownian and Lévy white noise. The fractional time derivative is interpreted as the Caputo derivative of order $α\in (0,2).$ We show the following: \\ a) If a solution exists, then it is a fixed point of a specific set-valued map.\\ b) Conversely, any fixed point of this map is a solution of the heat inclusion.\\ c) Finally, we show that there is at least one fixed point of this map, thereby proving that there …

Optimal decay of global strong solutions to nematic liquid crystal flows in the half-space
Haokun Chen, Yong Wang
https://arxiv.org/abs/2506.10255 https://…

Optimal decay of global strong solutions to nematic liquid crystal flows in the half-space
We study asymptotic behaviors of the higher-order spatial derivatives and the first-order time derivatives for the strong solution to nematic liquid crystal flows in the half-space $\mathbb{R}_+^3$. Furthermore, when the initial data lie in an appropriately weighted Sobolev space, we obtain the decay rates that are faster than the heat kernel. The main tools employed in this paper are the $L^p-L^q$ estimates of the Stokes semigroup, the a priori estimates of the steady Stokes system in $\mathbb…

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation
Matteo Ferrari, Ilaria Perugia, Enrico Zampa
https://arxiv.org/abs/2506.05886

Inf-sup stable space-time discretization of the wave equation based on a first-order-in-time variational formulation
In this paper, we present a conforming space-time discretization of the wave equation based on a first-order-in-time variational formulation with exponential weights in time. We analyze the method, showing its stability without imposing any restrictions on the mesh size or time step, and proving quasi-optimal convergence for any choice of space-time tensor product discrete spaces that satisfies standard approximation assumptions. Numerical examples are provided to support the theoretical findin…

Finite temperature Casimir effect of a Lorentz-violating scalar with higher order derivatives
Andrea Erdas
https://arxiv.org/abs/2506.10284 https://…

Finite temperature Casimir effect of a Lorentz-violating scalar with higher order derivatives
In this work I study the finite temperature Casimir effect caused by a complex and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. The Lorentz invariance breaking is caused by a constant space-like vector directly coupled to higher order field derivatives. This vector needs to be space-like in order to avoid non-causality problems that will arise with a time-like vector. I investigate the two scenarios of the scalar field satisfying either Dirichlet or mix…

This https://arxiv.org/abs/2310.16918 has been replaced.
initial toot: https://mastoxiv.page/@a…

Geodynamics and artificial gravity in space-time crystals under slow perturbation and deformation
We present a theory of geodynamics in a space-time crystal based on an event wave packet constructed from the Floquet-Bloch waves, which not only involve a scalar dispersion function but also a Berry curvature tensor in the phase space manifold of space-time and the reciprocal quasi energy-momentum. In the presence of structural deformation, this theory is naturally extended into a covariant form with the introduction of a lattice connection constructed out of the gradients of the local lattice…

The presentations at the 2nd #AAS246 presser were about the papers https://iopscience.iop.org/article/10.3847/2041-8213/adc911 (Discovery of the Seven-ring Polycyclic Aromatic Hydrocarbon Cyanocoronene (C24H11CN) in GOTHAM Observations of TMC-1, also https://public.nrao.edu/news/cosmic-chemistry-breakthrough-largest-aromatic-molecule-found-in-deep-space/), https://arxiv.org/abs/2506.05575 (A map of the outer gas disk of the Galaxy with direct distances from young stars, also https://www.uah.edu/news/items/uah-researcher-unveils-new-map-of-milky-way-galaxy-in-atomic-hydrogen-revealing-its-clumped-flocculent-nature-for-first-time) and https://iopscience.iop.org/article/10.3847/1538-4357/adbbd9 (Surveying the Giant H ii Regions of the Milky Way with SOFIA. VII. Galactic Center Regions Sgr B1, Sgr B2, and Sgr C, also https://www.seti.org/press-release/unusual-stellar-nurseries-near-our-galaxys-center-puzzle-scientists) plus two results with apparently neither papers nor press releases going with them.

Finslerian lightconvex boundaries: applications to causal simplicity and the space of cone geodesics $\mathcal{N}$
J\'onatan Herrera, Miguel S\'anchez
https://arxiv.org/abs/2506.09032

Finslerian lightconvex boundaries: applications to causal simplicity and the space of cone geodesics $\mathcal{N}$
Our outcome is structured in the following sequence: (1) a general result for indefinite Finslerian manifolds with boundary $(M,L)$ showing the equivalence between local and infinitesimal (time, light or space) convexities for the boundary $\partial M$, (2) for any cone structure $(M,\mathcal{C})$ which is globally hyperbolic with timelike boundary, the equivalence among: (a) the boundary $\partial M$ is lightconvex, (b) the interior $\mathring{M}$ is causally simple and (c) the space of the co…

RT-VC: Real-Time Zero-Shot Voice Conversion with Speech Articulatory Coding
Yisi Liu, Chenyang Wang, Hanjo Kim, Raniya Khan, Gopala Anumanchipalli
https://arxiv.org/abs/2506.10289

RT-VC: Real-Time Zero-Shot Voice Conversion with Speech Articulatory Coding
Voice conversion has emerged as a pivotal technology in numerous applications ranging from assistive communication to entertainment. In this paper, we present RT-VC, a zero-shot real-time voice conversion system that delivers ultra-low latency and high-quality performance. Our approach leverages an articulatory feature space to naturally disentangle content and speaker characteristics, facilitating more robust and interpretable voice transformations. Additionally, the integration of differentia…

Trojan Horse Hunt in Time Series Forecasting for Space Operations
Krzysztof Kotowski, Ramez Shendy, Jakub Nalepa, Przemys{\l}aw Biecek, Piotr Wilczy\'nski, Agata Kaczmarek, Dawid P{\l}udowski, Artur Janicki, Evridiki Ntagiou
https://arxiv.org/abs/2506.01849

Trojan Horse Hunt in Time Series Forecasting for Space Operations
This competition hosted on Kaggle (https://www.kaggle.com/competitions/trojan-horse-hunt-in-space) is the first part of a series of follow-up competitions and hackathons related to the "Assurance for Space Domain AI Applications" project funded by the European Space Agency (https://assurance-ai.space-codev.org/). The competition idea is based on one of the real-life AI security threats identified within the project -- the adversarial poisoning of continuously fine-tuned satellite telemetry fore…

Yule-Walker Estimation for Functional Time Series in Hilbert Space
Ying Niu, Yuwei Zhao, Zhao Chen, Christina Dan Wang
https://arxiv.org/abs/2506.05922 htt…

Yule-Walker Estimation for Functional Time Series in Hilbert Space
Recent advances in data collection technologies have led to the widespread availability of functional data observed over time, often exhibiting strong temporal dependence. However, existing methodologies typically assume independence across functions or impose restrictive low-order dependence structures, limiting their ability to capture the full dynamics of functional time series. To address this gap, we investigate higher-order functional autoregressive (FAR) models in Hilbert spaces, focusin…

Identifying Compact Chirping SMBHBs in LSST using Bayesian Analysis
Chengcheng Xin, Maximiliano Isi, Will M. Farr, Zolt\'an Haiman
https://arxiv.org/abs/2506.10846

Identifying Compact Chirping SMBHBs in LSST using Bayesian Analysis
The Legacy Survey of Space and Time (LSST) is expected to observe up to ${\sim}100$ million quasars in the next decade. In this work, we show that it is possible to use such data to measure the characteristic frequency evolution of a "chirp" induced by gravitational waves, which can serve as robust evidence for the presence of a compact supermassive black-hole binary. Following the LSST specifications, we generate mock lightcurves consisting of (i) a post-Newtonian chirp produced by orbital mot…

Continuous-time multifarious systems -- Part I: equilibrium multifarious self-assembly
Jakob Metson, Saeed Osat, Ramin Golestanian
https://arxiv.org/abs/2506.07648

Continuous-time multifarious systems -- Part I: equilibrium multifarious self-assembly
Multifarious assembly models consider multiple structures assembled from a shared set of components, reflecting the efficient usage of components in biological self-assembly. These models are subject to a high-dimensional parameter space, with only a finite region of parameter space giving reliable self-assembly. Here we use a continuous-time Gillespie simulation method to study multifarious self-assembly and find that the region of parameter space in which reliable self-assembly can be achieve…

Enhancing Taiji's Parameter Estimation under Non-Stationarity: a Time-Frequency Domain Framework for Galactic Binaries and Instrumental Noises
Minghui Du, Ziren Luo, Peng Xu
https://arxiv.org/abs/2506.10599

Enhancing Taiji's Parameter Estimation under Non-Stationarity: a Time-Frequency Domain Framework for Galactic Binaries and Instrumental Noises
The data analysis of space-based gravitational wave detectors like Taiji faces significant challenges from non-stationary noise, which compromises the efficacy of traditional frequency-domain analysis. This work proposes a unified framework based on short-time Fourier transform (STFT) to enhance parameter estimation of Galactic binary and characterization of instrumental noise under non-stationarity. Segmenting data into locally stationary intervals, we derive STFT-based models for signals and …

Wasserstein and Convex Gaussian Approximations for Non-stationary Time Series of Diverging Dimensionality
Miaoshiqi Liu, Jun Yang, Zhou Zhou
https://arxiv.org/abs/2506.08723

Wasserstein and Convex Gaussian Approximations for Non-stationary Time Series of Diverging Dimensionality
In high-dimensional time series analysis, Gaussian approximation (GA) schemes under various distance measures or on various collections of subsets of the Euclidean space play a fundamental role in a wide range of statistical inference problems. To date, most GA results for high-dimensional time series are established on hyper-rectangles and their equivalence. In this paper, by considering the 2-Wasserstein distance and the collection of all convex sets, we establish a general GA theory for a br…

"The disconnection between designers and users has let user interfaces to drift off to a space where only designers are satisfied by them. It is time to remember the users trying to find those buttons, trying to bend those spoons, and to take their satisfaction into account, too."
https://d…

The Button And The Spoon
As my father approaches his 80th birthday, his first contacts with the latest technologies become ever more interesting. As a pen-and-pencil architect and entrepreneur with 50 years of experience, technology is not a necessity; rather, just another useful tool. He setup his first fax machine at the end of the 90s, and got his first computer a decade after that. At some point in the 2010s he bought a smartphone, and one day asked me for help to finish some task on it. I remember his face when I …

6 time zones, ~340,000,000 people, ~3,800,000 square miles.
Only 1.2 million sworn law enforcement officers, and only 2.86 million US military personnel, including active duty, National Guard, and Reserves.
Martial law is likely not feasible nationwide. Simply cannot be accomplished even if all LEOs and soldiers were eager to try.
They want to accomplish what 80 years ago was tough (could have gone either way) only in a place with ~21 times the space and ~7 times the peo…

Irreducible modules over the universal central extension of the planar Galilean conformal algebra
Dongfang Gao
https://arxiv.org/abs/2506.10196 https://

Irreducible modules over the universal central extension of the planar Galilean conformal algebra
In this paper, we study the representation theory of the universal central extension $\mathcal{G}$ of the infinite-dimensional Galilean conformal algebra, introduced by Bagchi-Gopakumar, in $(2+1)$ dimensional space-time, which was named the planar Galilean conformal algebra by Aizawa. More precisely, we construct a family of Whittaker modules $W_{ψ_{m,n}}$ over $\mathcal{G}$ while the necessary and sufficient conditions for these modules to be irreducible are given when $m\in\mathbb{Z}_+, n\i…

This https://arxiv.org/abs/2312.01602 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Quantum Time Series Similarity Measures and Quantum Temporal Kernels
This article presents a quantum computing approach to designing of similarity measures and kernels for classification of stochastic symbolic time series. In the area of machine learning, kernels are important components of various similarity-based classification, clustering, and regression algorithms. An effective strategy for devising problem-specific kernels is leveraging existing generative models of the example space. In this study we assume that a quantum generative model, known as quantum…

A cautious user's guide in applying HMMs to physical systems
Max Schweiger, Ayush Saurabh, Steve Press\'e
https://arxiv.org/abs/2506.05707 https://…

A cautious user's guide in applying HMMs to physical systems
Nature, as far as we know, evolves continuously through space and time. Yet the ubiquitous hidden Markov model (HMM)--originally developed for discrete time and space analysis in natural language processing--remains a central tool in interpreting time series data drawn from from physical systems. This raises a fundamental question: What are the implications of applying a discrete-state, discrete-time framework to analyze data generated by a continuously evolving system? Through synthetic data g…

Kardar--Parisi--Zhang universality in optically induced lattices of exciton--polariton condensates
D. Novokreschenov, V. Neplokh, M. Misko, N. Starkova, T. Cookson, A. Kudlis, A. Nalitov, I. A. Shelykh, A. V. Kavokin, P. Lagoudakis
https://arxiv.org/abs/2506.10187

Kardar--Parisi--Zhang universality in optically induced lattices of exciton--polariton condensates
We investigate space-time coherence in one-dimensional lattices of exciton-polariton condensates formed by fully reconfigurable non-resonant optical pumping. Starting from an open-dissipative Gross-Pitaevskii equation with deterministic reservoir kinetics and stochastic condensate noise, we derive a discrete complex-field model that incorporates coherent tunnelling, reservoir-mediated dissipative coupling and gain-saturation non-linearity. Adiabatic elimination of fast density fluctuations reve…

Modern Minimal Perfect Hashing: A Survey
Hans-Peter Lehmann, Thomas Mueller, Rasmus Pagh, Giulio Ermanno Pibiri, Peter Sanders, Sebastiano Vigna, Stefan Walzer
https://arxiv.org/abs/2506.06536

Modern Minimal Perfect Hashing: A Survey
Given a set $S$ of $n$ keys, a perfect hash function for $S$ maps the keys in $S$ to the first $m \geq n$ integers without collisions. It may return an arbitrary result for any key not in $S$ and is called minimal if $m = n$. The most important parameters are its space consumption, construction time, and query time. Years of research now enable modern perfect hash functions to be extremely fast to query, very space-efficient, and scale to billions of keys. Different approaches give different tr…

This https://arxiv.org/abs/2506.04327 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Fishing for the Optimal Roman High Latitude Time Domain Survey: Cosmological Constraints for 1,000 Possible Surveys
The upcoming Nancy Grace Roman Space Telescope is set to conduct a generation-defining SN Ia cosmology measurement with its High Latitude Time Domain Survey (HLTDS). However, between optical elements, exposure times, cadences, and survey areas, there are many survey parameters to consider. This work was part of a Roman Project Infrastructure Team effort to help the Core Community Survey (CCS) Committee finalize the HLTDS recommendation to the Roman Observations Time Allocation Committee. We sim…

The Hourglass Simulation: A Catalog for the Roman High-Latitude Time-Domain Core Community Survey
B. M. Rose, M. Vincenzi, R. Hounsell, H. Qu, L. Aldoroty, D. Scolnic, R. Kessler, P. Macias, D. Brout, M. Acevedo, R. C. Chen, S. Gomez, E. Peterson, D. Rubin, M. Sako
https://arxiv.org/abs/2506.05161

The Hourglass Simulation: A Catalog for the Roman High-Latitude Time-Domain Core Community Survey
We present a simulation of the time-domain catalog for the Nancy Grace Roman Space Telescope's High-Latitude Time-Domain Core Community Survey. This simulation, called the Hourglass simulation, uses the most up-to-date spectral energy distribution models and rate measurements for ten extra-galactic time-domain sources. We simulate these models through the design reference Roman Space Telescope survey: four filters per tier, a five day cadence, over two years, a wide tier of 19 deg$^2$ and a dee…

Polynomial slowdown in space-inhomogeneous branching Brownian motion
Julien Berestycki, David Geldbach, Michel Pain
https://arxiv.org/abs/2506.10623 https:…

Polynomial slowdown in space-inhomogeneous branching Brownian motion
We consider a branching Brownian motion in $\mathbb{R}^2$ in which particles independently diffuse as standard Brownian motions and branch at an inhomogeneous rate $b(θ)$ which depends only on the angle $θ$ of the particle. We assume that $b$ is maximal when $θ=0$, which is the preferred direction for breeding. Furthermore we assume that $b(θ) = 1 - β\abs{θ}^α+ O(θ^2)$, as $θ\to 0$, for $α\in (2/3,2)$ and $β>0.$ We show that if $M_t$ is the maximum distance to the origin at time $t$,…

Complementary Time-Space Tradeoff for Self-Stabilizing Leader Election: Polynomial States Meet Sublinear Time
Yuichi Sudo
https://arxiv.org/abs/2505.23649 …

Complementary Time-Space Tradeoff for Self-Stabilizing Leader Election: Polynomial States Meet Sublinear Time
We study the self-stabilizing leader election (SS-LE) problem in the population protocol model, assuming exact knowledge of the population size $n$. Burman, Chen, Chen, Doty, Nowak, Severson, and Xu (PODC 2021) showed that this problem can be solved in $O(n)$ expected time with $O(n)$ states. Recently, Gąsieniec, Grodzicki, and Stachowiak (PODC 2025) proved that $n+O(\log n)$ states suffice to achieve $O(n \log n)$ time both in expectation and with high probability (w.h.p.). If substantially m…

Study of Venera Spacecraft Trajectories and Wider Implications
Adam Hibberd
https://arxiv.org/abs/2506.09478 https://arxiv.org/pdf/25…

Study of Venera Spacecraft Trajectories and Wider Implications
Historically, there is no doubt that the early years of the USSR space program put them way ahead of the competition (the USA). Nonetheless, although this was not what the Russians wished to present to the world, the interplanetary campaign, centred around missions to the planet Venus (the Venera program) was also beset with difficulties. Many of the early Venera probes failed, despite making it to a heliocentric orbit, but naturally the success rate improved with time. The result is that there…

Large Time Behavior of the Klein-Gordon-Schr\"{o}digner system
Chanjin You
https://arxiv.org/abs/2506.09863 https://arxiv.org/pd…

Large Time Behavior of the Klein-Gordon-Schrödigner system
We establish the global existence and scattering for small and localized solutions of the Klein-Gordon-Schrödinger system in three dimensions. The system consists of coupled semilinear Schrödinger and Klein-Gordon equations with quadratic nonlinearities. This model is motivated by the study of plasma oscillations arising from the Hartree equation near a translation-invariant equilibrium with the Coulomb potential. Our proof relies on the space-time resonance method. The main difficulty comes …

Slow progress the last couple days because I've been going into the office for work and the commute is eating up my time I'd otherwise spend on such things.
But now it's the weekend and the switch engine board is coming together nicely.
Still have 514 nets to route - mostly the supervisor, line card management buses, and power supply but also some other odds and ends like the FPGA JTAG and part of the SPI flash.
Also I have to get the tach/PWM signals from the m…

Riemannian Time Warping: Multiple Sequence Alignment in Curved Spaces
Julian Richter, Christopher Erd\"os, Christian Scheurer, Jochen J. Steil, Niels Dehio
https://arxiv.org/abs/2506.01635

Riemannian Time Warping: Multiple Sequence Alignment in Curved Spaces
Temporal alignment of multiple signals through time warping is crucial in many fields, such as classification within speech recognition or robot motion learning. Almost all related works are limited to data in Euclidean space. Although an attempt was made in 2011 to adapt this concept to unit quaternions, a general extension to Riemannian manifolds remains absent. Given its importance for numerous applications in robotics and beyond, we introduce Riemannian Time Warping~(RTW). This novel approa…

Time-Varying Model Predictive Attitude Control for Magnetically Actuated Dual-Spin Satellites
Robert D. Halverson, Ryan J. Caverly
https://arxiv.org/abs/2506.07858

Time-Varying Model Predictive Attitude Control for Magnetically Actuated Dual-Spin Satellites
Attitude control hardware for small satellites is often limited in power and space availability given the importance of the science instruments they exist to transport. To mitigate this, a dual-spin stabilized satellite actuated via magnetic torque rods reduces the space and power required of the attitude control system, but may require advanced control policies. This paper explores the attitude control of a magnetically actuated dual-spin stabilized CubeSat with model predictive control using …

Time for the periodic check of my ~/.cache directory:
ccache: 4G
uv: 2.2G
pre-commit: 2.1G
rattler: 1.7G
mozilla: 1.1G
thumbnails: 1G
evolution: 550M
fotema: 511M
pip: 404M
Not assuming infinite space in home directory is overrated.
#Gentoo #Python

Generalizable, real-time neural decoding with hybrid state-space models
Avery Hee-Woon Ryoo, Nanda H. Krishna, Ximeng Mao, Mehdi Azabou, Eva L. Dyer, Matthew G. Perich, Guillaume Lajoie
https://arxiv.org/abs/2506.05320

Generalizable, real-time neural decoding with hybrid state-space models
Real-time decoding of neural activity is central to neuroscience and neurotechnology applications, from closed-loop experiments to brain-computer interfaces, where models are subject to strict latency constraints. Traditional methods, including simple recurrent neural networks, are fast and lightweight but often struggle to generalize to unseen data. In contrast, recent Transformer-based approaches leverage large-scale pretraining for strong generalization performance, but typically have much l…

Okay, spent a little time with Python's Matplotlib to get this graph of miles biked so far this year...
At some point I should be able to pull the data from Run Gap's SQLite database to automate this more, and get more granular.
I still need to figure out how to space the bars and some other formatting stuff but it's a good start!
#python

Solar storm has reached Earth, could bring auroras to U.S. South
A severe” solar storm
— rated a level 4 out of 5
— arrived on Earth earlier than NOAA’s Space Weather Prediction Center had forecast on Saturday.
Northern lights were visible as far south as New Mexico, and vivid displays were photographed in Wyoming, Utah and Washington state.

Before dawn, the aurora could even be detected in the Mid-Atlantic with a camera
— which is more sensitive to ligh…

Solar storm has reached Earth, could bring auroras to U.S. South
A “severe” solar storm is expected to reach Earth any time from late morning to Sunday evening Eastern time, according to NOAA.

Generative Models for Parameter Space Reduction applied to Reduced Order Modelling
Guglielmo Padula, Gianluigi Rozza
https://arxiv.org/abs/2506.09721 https…

Generative Models for Parameter Space Reduction applied to Reduced Order Modelling
Solving and optimising Partial Differential Equations (PDEs) in geometrically parameterised domains often requires iterative methods, leading to high computational and time complexities. One potential solution is to learn a direct mapping from the parameters to the PDE solution. Two prominent methods for this are Data-driven Non-Intrusive Reduced Order Models (DROMs) and Parametrised Physics Informed Neural Networks (PPINNs). However, their accuracy tends to degrade as the number of geometric p…

Computation of the Totient Summatory Function
Lucas Augustus Brown
https://arxiv.org/abs/2506.07386 https://arxiv.org/pdf/2506.07386

Computation of the Totient Summatory Function
An algorithm is devised for computing $Φ(n) = ϕ(1) + ϕ(2) + \cdots + ϕ(n)$ in time $\widetildeΘ(n^{2/3})$ and space $\widetildeΘ(n^{1/3})$. The starting point is an existing algorithm based on the Dirichlet hyperbola method and the Mertens function. The algorithm is then used to compute $Φ(10^{19}) = 30396355092701331435065976498046398788$.

This https://arxiv.org/abs/2501.09799 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Scan-Adaptive MRI Undersampling Using Neighbor-based Optimization (SUNO)
Accelerated MRI involves collecting partial k-space measurements to reduce acquisition time, patient discomfort, and motion artifacts, and typically uses regular undersampling patterns or hand-designed schemes. Recent works have studied population-adaptive sampling patterns that are learned from a group of patients (or scans) based on population-specific metrics. However, such a general sampling pattern can be sub-optimal for any specific scan since it may lack scan or slice adaptive details. T…

"Symmetry-from-Anomaly" in Condensed Matter related Constructions
Cenke Xu
https://arxiv.org/abs/2506.09127 https://arxiv.o…

"Symmetry-from-Anomaly" in Condensed Matter related Constructions
The noninvertible axial symmetry constructed from the ABJ-anomaly has attracted enormous interest. We discuss the mechanism of "symmetry-from-anomaly" in condensed matter-related models in both 1d and 3d spaces (which correspond to (1+1)d and (3+1)d space-time). Within the models discussed here, we establish the connection between field theory quantities such as different versions of the axial charge, and quantities with simple physical meanings in our systems. In our models and likely a class …

This https://arxiv.org/abs/2502.02959 has been replaced.
initial toot: https://mastoxiv.page/@…

Observation of slow relaxation due to Hilbert space fragmentation in strongly interacting Bose-Hubbard chains
While isolated quantum systems generally thermalize after long-time evolution, there are several exceptions defying thermalization. A notable mechanism of such nonergodicity is the Hilbert space fragmentation (HSF), where the Hamiltonian matrix splits into an exponentially large number of sectors due to the presence of nontrivial conserved quantities. Using ultracold gases, here we experimentally investigate the one-dimensional Bose-Hubbard system with neither disorder nor tilt potential, which…

TDI on the fly
Neil J. Cornish, Tyson Littenberg
https://arxiv.org/abs/2506.08093 https://arxiv.org/pdf/2506.08093

TDI on the fly
Space-based gravitational wave (GW) observatories, such as the future Laser Interferometer Space Antenna (LISA), employ synthetic Time Delay Interferometry (TDI) to cancel the otherwise overwhelming laser frequency noise. The phase readouts at each spacecraft are combined with a carefully designed collection of time delays that cancel the laser frequency noise. The same collection of time delays must be applied to the GW signal models used for analysis, along with geometrical factors that encod…

Happy Pride Month! Wishing all who celebrate a safe and glamorous time.
GDEP is always a safe and supportive ally space for the LGBTIQA community.
#GDEPAU #EOLD #AskAnnetta

This https://arxiv.org/abs/2410.21527 has been replaced.
link: https://scholar.google.com/scholar?q=a

VISTA-SSM: Varying and Irregular Sampling Time-series Analysis via State Space Models
We introduce VISTA, a clustering approach for multivariate and irregularly sampled time series based on a parametric state space mixture model. VISTA is specifically designed for the unsupervised identification of groups in datasets originating from healthcare and psychology where such sampling issues are commonplace. Our approach adapts linear Gaussian state space models (LGSSMs) to provide a flexible parametric framework for fitting a wide range of time series dynamics. The clustering approac…

Squeezing effect on three-dimensional Hanbury Brown-Twiss radii
Yong Zhang, Peng Ru
https://arxiv.org/abs/2506.07178 https://arxiv.or…

Squeezing effect on three-dimensional Hanbury Brown-Twiss radii
This paper examines the impacts of the squeezing effect caused by the particle's in-medium mass modification on the three-dimensional Hanbury Brown-Twiss (HBT) radii. An analysis is conducted on how the squeezing effect impacts the three-dimensional HBT radii of $ϕϕ$, $D^0$$D^0$, and $K^+$$K^+$. The squeezing effect suppresses the impacts of transverse flow on the transverse source distribution and broadens the space-time rapidity distribution of the particle-emitting source, leading to an in…

This https://arxiv.org/abs/2408.05762 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDM_…

The complexity of computing the period and the exponent of a digraph
The period of a strongly connected digraph is the greatest common divisor of the lengths of all its cycles. The period of a digraph is the least common multiple of the periods of its strongly connected components. These notions play an important role in the theory of Markov chains and the analysis of powers of nonnegative matrices. While the time complexity of computing the period is well-understood, little is known about its space complexity. We show that the problem of computing the period of…

Collapse Scenario and Final State of Evaporation for Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity
Voja Radovanovi\'c, Stefan {\DJ}or{\dj}evi\'c
https://arxiv.org/abs/2506.09946

Collapse Scenario and Final State of Evaporation for Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity
We study a model of (1+1)-dimensional dilaton gravity derived from the four-dimensional Einstein-Hilbert action by dimensional reduction in a semiclassical approximation including back-reaction. The reduced action involves the cosmological constant and admits black hole solutions; among these, the solutions of interest are the evaporating black holes. We solve the equations of motion perturbatively by demanding that the initial state geometry is a Minkowski space-time. When the infalling matter…

TIL: On Taiwan TV, the BBC series “Doctor Who” is translated as “⁠何博士”.
博士 is simply the word for doctor (the academic degree, not a medical practitioner). But 何 is both a Chinese surname (transcribed as Ho or Hé) and an interrogative pronoun for “what” or “how”. Clever translation.
BBC and Disney use 超時空奇俠 as the Chinese title which translates as "across-time-space strange hero" and Netflix uses ⁠神秘博士 "Mysterious Doctor". 🤷

Cosmology Constraints from Type Ia Supernova Simulations of the Nancy Grace Roman Space Telescope Strategy Recommended by the High Latitude Time Domain Survey Definition Committee
Richard Kessler, Rebekah Hounsell, Bhavin Joshi, David Rubin, Masao Sako, Rebecca Chen, Vivian Miranda, Benjamin. M. Rose
https://arxiv.org/abs/2506.0…

Cosmology Constraints from Type Ia Supernova Simulations of the Nancy Grace Roman Space Telescope Strategy Recommended by the High Latitude Time Domain Survey Definition Committee
Within the next few years, the upcoming Nancy Grace Roman Space Telescope will be gathering data for the High Latitude Time Domain Survey (HLTDS) that will be used to significantly improve the Type Ia supernova measurement of the dark energy equation of state parameters w0 and wa. Here we generate a catalog-level simulation of the in-guide strategy recommended by the HLTDS definition committee, and determine dark energy parameter constraints using a detailed analysis that includes light curve f…

@… https://mastodon.social/@weatherwest/114598978598267903

This https://arxiv.org/abs/2504.16251 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csOS_…

Adaptive and Efficient Dynamic Memory Management for Hardware Enclaves
The second version of Intel Software Guard Extensions (Intel SGX), or SGX2, adds dynamic management of enclave memory and threads. The first version required the address space and thread counts to be fixed before execution. The Enclave Dynamic Memory Management (EDMM) feature of SGX2 has the potential to lower launch times and overall execution time. Despite reducing the enclave loading time by 28--93%, straightforward EDMM adoption strategies actually slow execution time down by as much as 58%…

In-context Clustering-based Entity Resolution with Large Language Models: A Design Space Exploration
Jiajie Fu, Haitong Tang, Arijit Khan, Sharad Mehrotra, Xiangyu Ke, Yunjun Gao
https://arxiv.org/abs/2506.02509

In-context Clustering-based Entity Resolution with Large Language Models: A Design Space Exploration
Entity Resolution (ER) is a fundamental data quality improvement task that identifies and links records referring to the same real-world entity. Traditional ER approaches often rely on pairwise comparisons, which can be costly in terms of time and monetary resources, especially with large datasets. Recently, Large Language Models (LLMs) have shown promising results in ER tasks. However, existing methods typically focus on pairwise matching, missing the potential of LLMs to perform clustering di…

Efficient Computation of Closed Substrings
Samkith K Jain, Neerja Mhaskar
https://arxiv.org/abs/2506.06452 https://arxiv.org/pdf/2506…

Efficient Computation of Closed Substrings
A closed string $u$ is either of length one or contains a border that occurs only as a prefix and as a suffix in $u$ and nowhere else within $u$. In this paper, we present a fast and practical $O(n\log n)$ time algorithm to compute all $Θ(n^2)$ closed substrings by introducing a compact representation for all closed substrings of a string $ w[1..n]$, using only $O(n \log n)$ space. We also present a simple and space-efficient solution to compute all maximal closed substrings (MCSs) using the s…

Dynamical Horizon Segments and Spacetime Isometries
Abhay Ashtekar, Badri Krishnan
https://arxiv.org/abs/2506.10190 https://arxiv.org…

Dynamical Horizon Segments and Spacetime Isometries
Given a space-time $(\mathscr{M}, g_{ab})$ admitting a dynamical horizon segment (DHS) $\mathscr{H}$, we show that there are stringent constraints on the Killing fields $ξ^a$ that $g_{ab}$ can admit in a neighborhood of $\mathscr{H}$: Generically, $ξ^a$ can only be a rotational Killing field which, furthermore, leaves each marginally trapped 2-sphere cross-section $\mathcal{S}$ of $\mathscr{H}$ invariant. Finally, if $ξ^a$ happens to be hypersurface orthogonal near $\mathscr{H}$, then, not o…

Sorcha: A Solar System Survey Simulator for the Legacy Survey of Space and Time
Stephanie R. Merritt, Grigori Fedorets, Megan E. Schwamb, Samuel Cornwall, Pedro H. Bernardinelli, Mario Juric, Matthew J. Holman, Jacob A. Kurlander, Siegfried Eggl, Drew Oldag, Maxine West, Jeremy Kubica, Joseph Murtagh, R. Lynne Jones, Peter Yoachim, Ryan R. Lyttle, Michael S. P. Kelley, Joachim Moeyens, Kathleen Kiker, Shantanu P. Naidu, Colin Snodgrass, Shannon M. Matthews, Colin Orion Chandler

Sorcha: A Solar System Survey Simulator for the Legacy Survey of Space and Time
The upcoming Legacy Survey of Space and Time (LSST) at the Vera C. Rubin Observatory is expected to revolutionize solar system astronomy. Unprecedented in scale, this ten-year wide-field survey will collect billions of observations and discover a predicted $\sim$5 million new solar system objects. Like all astronomical surveys, its results will be affected by a complex system of intertwined detection biases. Survey simulators have long been used to forward-model the effects of these biases on a…

This https://arxiv.org/abs/2501.13862 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Efficient Fermi-Hubbard model ground-state preparation by coupling to a classical reservoir in the instantaneous-response limit
Preparing the ground state of the Fermi-Hubbard model is challenging, in part due to the exponentially large Hilbert space, which complicates efficiently finding a path from an initial state to the ground state using the variational principle. In this work, we propose an approach for ground state preparation of interacting models by involving a classical reservoir, simplified to the instantaneous-response limit, which can be described using a Hamiltonian formalism. The resulting time evolution …

An Efficient Augmented Lagrangian Method for Dynamic Optimal Transport on Surfaces Based on Second-Order Cone Programming
Liang Chen, Youyicun Lin, Yuxuan Zhou
https://arxiv.org/abs/2506.08988

An Efficient Augmented Lagrangian Method for Dynamic Optimal Transport on Surfaces Based on Second-Order Cone Programming
This paper proposes an efficient numerical optimization approach for solving dynamic optimal transport (DOT) problems on general smooth surfaces, computing both the quadratic Wasserstein distance and the associated transportation path. Building on the convex DOT model of Benamou and Brenier, we first properly reformulate its dual problem, discretized on a triangular mesh for space together with a staggered grid for time, to a linear second-order cone programming. Then the resulting finite-dimen…

This https://arxiv.org/abs/2411.14332 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Continuous nonlinear adaptive experimental design with gradient flow
In computational inverse problems, the optimal experimental design (OED) problem seeks the best locations in time and space at which to take measurements. We investigate the nonlinear OED problem in the context of continuously-indexed design space for the measurements. In contrast to traditional approaches that select experiments from a finite measurement set, a continuous design space is often a better reflection of practical experimental options, where there is considerable flexibility concer…

The idea is to provide a safe haven and a fertile ground for the next generation of scientists to work in peace and freedom to solve the most significant challenges of our time; but the geopolitical argument will prevail. As Jorge Luis Borges said in his short story “Nathaniel Hawthorne” from his book “Other Inquisitions” (1952):
“The past is indestructible; sooner or later all things return, and one of the things that return is the project to abolish the past.”

William Aspray
There was a moment in which Kurt Gödel, Albert Einstein, and John von Neumann were all roaming the halls of the Institute for Advanced Studies in Princeton at the same time. Let that information sink in. Humanity experiences such gatherings of brilliant minds in a remote location of the space-time continuum only every so often; maybe the ancient Greeks and the men of the Renaissance witnessed such periods in time, as did the IAS staff at the end of World War II. How much will we have to wait f…

This https://arxiv.org/abs/2502.07313 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Critical exponent for the one-dimensional wave equation with a space-dependent scale invariant damping and time derivative nonlinearity
We investigate in this paper the Cauchy problem of the one-dimensional wave equation with space-dependent damping of the form $μ_0(1+x^2)^{-1/2}$, where $μ_0>0$, and time derivative nonlinearity. We establish global existence of mild solutions for small data compactly supported by employing energy estimates within suitable Sobolev spaces of the associated homogeneous problem. Furthermore, we derive a blow-up result under some positive initial data by employing the test function method. …

The half-space KPZ line ensemble and its scaling limit
Sayan Das, Christian Serio
https://arxiv.org/abs/2506.07939 https://arxiv.org/…

The half-space KPZ line ensemble and its scaling limit
For each $α\in \mathbb{R}$, $t \geq 1$, we show that there exists a unique $\mathbb{N}$-indexed line ensemble of random continuous curves $\mathbb{R}_{\le 0} \to \mathbb{R}$ with the following properties: (1) The top curve is distributed as the time-$t$ Cole--Hopf solution to the half-space KPZ equation with narrow wedge initial condition and Neumann boundary condition with parameter $α$. (2) The line ensemble satisfies a one-sided resampling invariance property, involving softly non-inte…

Sorcha - a Solar System Survey Simulator for the Legacy Survey of Space and Time: #Rubin Observatory will discover millions of solar system objects: https://www.geekwire.com/2025/sorcha-software-rubin-observatory-millions/

Comparison between the diffusion properties of different small-scale fractional transport models
Paolo Cifani, Franco Flandoli
https://arxiv.org/abs/2506.08068

Comparison between the diffusion properties of different small-scale fractional transport models
Stochastic transport due to a velocity field modeled by the superposition of small-scale divergence free vector fields activated by Fractional Gaussian Noises (FGN) is numerically investigated. We present two non-trivial contributions: the first one is the definition of a model where different space-time structures can be compared on the same ground: this is achieved by imposing the same average kinetic energy to a standard Ornstein-Uhlenbeck approximation, then taking the limit to the idealize…

Line shapes in time- and angle-resolved photoemission spectroscopy explored by machine learning
Tami C. Meyer, Gesa-R. Siemann, Paulina Majchrzak, Thomas Seyller, Jennifer Rigden, Yu Zhang, Emma Springate, Charlotte Sanders, Philip Hofmann
https://arxiv.org/abs/2506.02137

Line shapes in time- and angle-resolved photoemission spectroscopy explored by machine learning
Time- and angle-resolved photoemission spectroscopy is a powerful technique for investigating the dynamics of excited carriers in quantum materials. Typically, data analysis proceeds via the inspection of time distribution curves (TDCs), which represent the time-dependent photoemission intensity in a region of interest -- often chosen somewhat arbitrarily -- in energy-momentum space. Here, we employ $k$-means, an unsupervised machine learning technique, to systematically investigate trends in T…

Mitigation of the Flexing-Filtering Effect in Time-Delay Interferometry
Shivani Harer, Martin Staab, Hubert Halloin
https://arxiv.org/abs/2506.04316 https:…

Mitigation of the Flexing-Filtering Effect in Time-Delay Interferometry
In early 2024, ESA formally adopted the Laser Interferometer Space Antenna (LISA) space mission with the aim of measuring gravitational waves emitted in the millihertz range. The constellation employs three spacecraft that exchange laser beams to form interferometric measurements over a distance of 2.5 million kilometers. The measurements will then be telemetered down to Earth at a lower sampling frequency. Anti-aliasing filters will be used on board to limit spectral folding of out-of-band las…

Joint space-time modelling for upper daily maximum and minimum temperature record-breaking
Jorge Castillo-Mateo (University of Zaragoza), Zeus Gracia-Tabuenca (University of Zaragoza), Jes\'us As\'in (University of Zaragoza), Ana C. Cebri\'an (University of Zaragoza), Alan E. Gelfand (Duke University)
https://arxiv.o…

Joint space-time modelling for upper daily maximum and minimum temperature record-breaking
Record-breaking temperature events are now frequently in the news, proffered as evidence of climate change, and often bring significant economic and human impacts. Our previous work undertook the first substantial spatial modelling investigation of temperature record-breaking across years for any given day within the year, employing a dataset consisting of over sixty years of daily maximum temperatures across peninsular Spain. That dataset also supplies daily minimum temperatures (which, in fac…

Fishing for the Optimal Roman High Latitude Time Domain Survey: Cosmological Constraints for 1,000 Possible Surveys
David Rubin, Greg Aldering, Andy Fruchter, Lluis Galbany, Rebekah Hounsell, Rick Kessler, Saul Perlmutter, Ben Rose, Masao Sako, Dan Scolnic, Jannik Truong, the Roman Supernova Cosmology Project Infrastructure Team
https://

Fishing for the Optimal Roman High Latitude Time Domain Survey: Cosmological Constraints for 1,000 Possible Surveys
The upcoming Nancy Grace Roman Space Telescope is set to conduct a generation-defining SN Ia cosmology measurement with its High Latitude Time Domain Survey (HLTDS). However, between optical elements, exposure times, cadences, and survey areas, there are many survey parameters to consider. This work was part of a Roman Project Infrastructure Team effort to help the Core Community Survey (CCS) Committee finalize the HLTDS recommendation to the Roman Observations Time Allocation Committee. We sim…

Whatever you do, do not call the number and recount the story of the time you were working commercial towing and a co-worker’s indigestion turned out to be a chest bursting health hazard that should have been nuked from space. 👽
#alien #movie

This https://arxiv.org/abs/2502.02661 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

The Conformal Primon Gas at the End of Time
The Belinksy-Khalatnikov-Lifshitz dynamics of gravity close to a spacelike singularity can be mapped, at each point in space separately, onto the motion of a particle bouncing within half the fundamental domain of the modular group. We show that the semiclassical quantisation of this motion is a conformal quantum mechanics where the states are constrained to be modular invariant. Each such state defines an odd automorphic $L$-function. In particular, in a basis of dilatation eigenstates the wav…

This https://arxiv.org/abs/2408.15920 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Nonlinear Filtering and Spatial Asymptotic Consistency for SPDEs Observed via Spatio-Temporal Point Processes
In this paper, we develop the mathematical framework for filtering problems arising from biophysical applications where data is collected from confocal laser scanning microscopy recordings of the space-time evolution of intracellular wave dynamics of biophysical quantities. In these applications, signals are described by stochastic partial differential equations (SPDEs) and observations can be modelled as functionals of marked point processes whose intensities depend on the underlying signal. W…

Core-collapse supernova parameter estimation with the upcoming Vera C. Rubin Observatory
Andrea Simongini, F. Ragosta, I. Di Palma, S. Piranomonte
https://arxiv.org/abs/2506.04184

Core-collapse supernova parameter estimation with the upcoming Vera C. Rubin Observatory
The Vera Rubin Observatory's Legacy Survey of Space and Time (LSST) is expected to revolutionize time-domain optical astronomy as we know it. With its unprecedented depth, the LSST will survey the southern hemisphere sky, generating nearly 32 trillion observations over its nominal 10-year operation. Among these, approximately 10 million will be supernovae (SNe). These observations will uniquely characterize the SN population, enabling studies of known and rare SN types, detailed parameterizatio…

This https://arxiv.org/abs/2410.08850 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Learning to Stop: Deep Learning for Mean Field Optimal Stopping
Optimal stopping is a fundamental problem in optimization with applications in risk management, finance, robotics, and machine learning. We extend the standard framework to a multi-agent setting, named multi-agent optimal stopping (MAOS), where agents cooperate to make optimal stopping decisions in a finite-space, discrete-time environment. Since solving MAOS becomes computationally prohibitive as the number of agents is very large, we study the mean-field optimal stopping (MFOS) problem, obtai…

Static vs dynamic rough energy landscapes: Where is diffusion faster?
Dmitrii E. Makarov, Peter Sollich
https://arxiv.org/abs/2506.02195 https://

Static vs dynamic rough energy landscapes: Where is diffusion faster?
Molecules in dense environments, such as biological cells, are subjected to forces that fluctuate both in time and in space. While spatial fluctuations are captured by Lifson-Jackson-Zwanzig's model of "diffusion in a rough potential", and temporal fluctuations are often viewed as leading to additional friction effects, a unified view where the environment fluctuates both in time and in space is currently lacking. Here we introduce a discrete-state model of a landscape fluctuating both in time …

This https://arxiv.org/abs/2402.10346 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Wavelet compressed, modified Hilbert transform in the space-time discretization of the heat equation
On a finite time interval $(0,T)$, we consider the multiresolution Galerkin discretization of a modified Hilbert transform $\mathcal H_T$ which arises in the space-time Galerkin discretization of the linear diffusion equation. To this end, we design spline-wavelet systems in $(0,T)$ consisting of piecewise polynomials of degree $\geq 1$ with sufficiently many vanishing moments which constitute Riesz bases in the Sobolev spaces $H^{s}_{0,}(0,T)$ and $H^{s}_{,0}(0,T)$. These bases provide stable …

Photon rings in a holographic toy model
St\'ephane Detournay, Sahaja Kanuri, Alexandru Lupsasca, Philippe Spindel, Quentin Vandermiers, Raphaela Wutte
https://arxiv.org/abs/2506.07989

Photon rings in a holographic toy model
Light circling around an astrophysical black hole can spend a long time skirting its unstably bound photon orbits before escaping to infinity. To a distant observer, this orbiting light would appear as a bright ring encircling the image of the black hole. Though not yet resolved by radio-interferometric observations from the ground, this ``photon ring'' will be the target of future space-based black hole observations. Motivated by this experimental prospect, studies have sought to elucidate the…

This https://arxiv.org/abs/2406.19533 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Testing quantum theory on curved space-time with quantum networks
Quantum technologies present new opportunities for fundamental tests of nature. One potential application is to probe the interplay between quantum physics and general relativity - a field of physics with no empirical evidence yet. Here we show that quantum networks open a new window to test this interface. We demonstrate how photon mediated entanglement between atomic or atom-like systems can be used to probe time-dilation induced entanglement and interference modulation. Key are non-local mea…

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model
Rachel Cummings, Alessandro Epasto, Jieming Mao, Tamalika Mukherjee, Tingting Ou, Peilin Zhong
https://arxiv.org/abs/2505.23682

Differentially Private Space-Efficient Algorithms for Counting Distinct Elements in the Turnstile Model
The turnstile continual release model of differential privacy captures scenarios where a privacy-preserving real-time analysis is sought for a dataset evolving through additions and deletions. In typical applications of real-time data analysis, both the length of the stream $T$ and the size of the universe $|U|$ from which data come can be extremely large. This motivates the study of private algorithms in the turnstile setting using space sublinear in both $T$ and $|U|$. In …

Two-stage MCMC for Fast Bayesian Inference of Large Spatio-temporal Ordinal Data, with Application to US Drought
Staci Hepler, Rob Erhardt
https://arxiv.org/abs/2505.24594

Two-stage MCMC for Fast Bayesian Inference of Large Spatio-temporal Ordinal Data, with Application to US Drought
High dimensional space-time data pose known computational challenges when fitting spatio-temporal models. Such data show dependence across several dimensions of space as well as in time, and can easily involve hundreds of thousands of observations. Many spatio-temporal models result in a dependence structure across all observations and can be fit only at a substantial computational cost, arising from dense matrix inversion, high dimensional parameter spaces, poor mixing in Markov Chain Monte Ca…

Nonlinear projection for ballistic correlation functions: a formula in terms of minimal connected covers
Benjamin Doyon
https://arxiv.org/abs/2506.05266 ht…

Nonlinear projection for ballistic correlation functions: a formula in terms of minimal connected covers
In many-body systems, the dynamics is governed, at large scales of space and time, by the hydrodynamic principle of projection onto the conserved densities admitted by the model. This is formalised as local relaxation of fluctuations in the ballistic macroscopic fluctuation theory, a nonlinear Boltzmann-Gibbs principle. We use it to derive a projection formula, expressing n-point connected correlation functions (cumulants) of generic observables at different space-time points, in terms of those…

Dispersive estimates for Dirac Operators in dimension four with obstructions at threshold energies
William R. Green, Connor Lane, Benjamin Lyons
https://arxiv.org/abs/2506.08831

Dispersive estimates for Dirac Operators in dimension four with obstructions at threshold energies
We investigate $L^1\to L^\infty$ dispersive estimates for the Dirac equation with a potential in four spatial dimensions. We classify the structure of the obstructions at the thresholds as being composed of an at most two dimensional space of resonances per threshold, and finitely many eigenfunctions. Similar to the Schrödinger evolution, we prove the natural $t^{-2}$ decay rate when the thresholds are regular. When there is a threshold resonance or eigenvalue, we show that there is a time dep…

Impact of redshift distribution uncertainties on Lyman-break galaxy cosmological parameter inference
Francesco Petri, Boris Leistedt, Daniel J. Mortlock, Joel Leja, Stephen Thorp, Justin Alsing, Hiranya V. Peiris, Sinan Deger
https://arxiv.org/abs/2506.06475

Impact of redshift distribution uncertainties on Lyman-break galaxy cosmological parameter inference
A significant number of Lyman-break galaxies (LBGs) with redshifts 3 < z < 5 are expected to be observed by the upcoming Vera C. Rubin Observatory Legacy Survey of Space and Time (LSST). This will enable us to probe the universe at higher redshifts than is currently possible with cosmological galaxy clustering and weak lensing surveys. However, accurate inference of cosmological parameters requires precise knowledge of the redshift distributions of selected galaxies, where the number of faint o…

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions
Shubo Zhao, Qinghai Zhang
https://arxiv.org/abs/2506.02663

Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions
We present a fourth-order projection method with adaptive mesh refinement (AMR) for numerically solving the incompressible Navier-Stokes equations (INSE) with subcycling in time. Our method features (i) a reformulation of INSE so that the velocity divergence decays exponentially on the coarsest level, (ii) a derivation of coarse-fine interface conditions that preserves the decay of velocity divergence on any refinement level of the AMR hierarchy, (iii) an approximation of the coarse-fine interf…

This https://arxiv.org/abs/2410.20426 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Exact Temporal Variation for Fractional Stochastic Heat Equation Driven by Space-Time White Noise
In this paper, we consider the exact fractional variation for the temporal process of the solution to the fractional stochastic heat equation on $\mathbb{R}$ driven by a space-time white noise, and as an application we give the estimate of drift parameter.

A Constructive Proof of Existence and Mass Gap for Pure SU(3) Yang-Mills in Four-Dimensional Space-Time
D. C. Jacobsen
https://arxiv.org/abs/2506.00284 htt…

A Constructive Proof of Existence and Mass Gap for Pure SU(3) Yang-Mills in Four-Dimensional Space-Time
In this work we present a constructive proof that pure SU(3) Yang-Mills theory on R^4 exists as a nontrivial Wightman quantum field theory and exhibits a strictly positive mass gap. Our approach embeds the four-dimensional gauge theory as the zero-mode sector of a five-dimensional orbifold regulator that preserves gauge invariance and reflection positivity. A convergent joint polymer expansion on the Wilson lattice provides uniform control of the continuum (a->0) and infinite-volume (L->inf) li…

Test Gravitational-Wave Polarizations with Space-Based Detectors
Jun-Shuai Wang, Chang Liu, Ju Chen, Jibo He
https://arxiv.org/abs/2506.02909 https://

Test Gravitational-Wave Polarizations with Space-Based Detectors
In this work, we systematically investigate the capability of space-based gravitational wave detectors in constraining parameters of non-tensor polarization modes. Using Bayesian inference and Fisher Information Matrix methods, we analyze gravitational wave signals from the inspiral phase of supermassive binary black hole mergers. By starting with time-domain signals and applying Fourier transforms, we avoid the use of the stationary phase approximation. We found an asymmetry in the estimation …

On the time-decay with the diffusion wave phenomenon of the solution to the compressible Navier-Stokes-Korteweg system in critical spaces
Takayuki Kobayashi, Ryosuke Nakasato
https://arxiv.org/abs/2505.24206

On the time-decay with the diffusion wave phenomenon of the solution to the compressible Navier-Stokes-Korteweg system in critical spaces
We consider the initial value problem of the compressible Navier-Stokes-Korteweg equations in the whole space $\mathbb{R}^d$ ($d \ge 2$). The purposes of this paper are to obtain the global-in-time solution around the constant equilibrium states $(ρ_*,0)$ and investigate the $L^p$-$L^1$ type time-decay estimates in a scaling critical framework, where $ρ_*>0$ is a constant. In addition, we study the diffusion wave property came from the wave equation with strong damping for the solution with t…

This https://arxiv.org/abs/2411.14936 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Massive Particle Systems, Wasserstein Brownian Motions, and the Dean-Kawasaki Equation
We develop a unifying theory for four different objects: (1) infinite systems of interacting massive particles; (2) solutions to the Dean-Kawasaki equation with singular drift and space-time white noise; (3) Wasserstein diffusions with a.s. purely atomic reversible random measures; (4) metric measure Brownian motions induced by Cheeger energies on $L^2$-Wasserstein spaces. For the objects in (1)-(3) we prove existence and uniqueness of solutions, and several characterizations, on an arbitrary…

Hydrodynamic noise in one dimension: projected Kubo formula and its vanishing in integrable models
Benjamin Doyon
https://arxiv.org/abs/2506.05279 https://…

Hydrodynamic noise in one dimension: projected Kubo formula and its vanishing in integrable models
Hydrodynamic noise is the Gaussian process that emerges at larges scales of space and time in many-body systems. It arises by the central limit theorem applied to local microcanonical averages, representing the degrees of freedom that have been forgotten when projecting coarse-grained observables onto conserved quantities. It comes with "bare" diffusion terms. In one dimension of space, nonlinearities of the hydrodynamic equation are relevant (from a renormalisation perspective), usually giving…

Stringent requirements for detecting light-induced gravitational effects using interferometry
F. Fillion-Gourdeau, S. MacLean
https://arxiv.org/abs/2506.05534

Stringent requirements for detecting light-induced gravitational effects using interferometry
Intense laser fields have been proposed as a means to generate light-induced gravitational effects, providing a novel approach to investigate gravity and its coupling to electromagnetism in a controlled laboratory setting. In this article, a detection scheme based on interferometry is introduced to assess the feasibility of observing such effects. Initially, the space-time deformation and the resulting induced phase difference are evaluated in homogeneous electric fields. Using the theoretical …

This https://arxiv.org/abs/2409.13414 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An Eulerian-Lagrangian formulation for compressible Euler Equations
In this paper, we present a novel Eulerian-Lagrangian formulation for the compressible isentropic Euler equations with a general pressure law. Using the developed Lagrangian formulation, we show a short-time solution which is unique in the framework of Bessel space $H_{p}^β(\mathbb{T}^{d})$ for $β>\frac{d}{p}+1$. The proof is precise and relatively simple, relying on the application of the Implicit Function Theorem in Banach spaces combined with a carefully designed regularization procedure. …

This https://arxiv.org/abs/2411.16855 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Analytic Solution for the Motion of Spinning Particles in Kerr Space-Time
The equations of motion of massive test particles near Kerr black holes are separable in Boyer-Lindquist coordinates, as established by Carter. This separability, however, is lost when the particles are endowed with classical spin. We show that separability of the equations of motion can be recovered to linear order in spin by a shift of the worldline derived with the use of the hidden symmetry of Kerr space-time. Consequently, the closed-form solution of the motion is expressed in a way closel…

Stringent requirements for detecting light-induced gravitational effects using interferometry
F. Fillion-Gourdeau, S. MacLean
https://arxiv.org/abs/2506.05534

Stringent requirements for detecting light-induced gravitational effects using interferometry
Intense laser fields have been proposed as a means to generate light-induced gravitational effects, providing a novel approach to investigate gravity and its coupling to electromagnetism in a controlled laboratory setting. In this article, a detection scheme based on interferometry is introduced to assess the feasibility of observing such effects. Initially, the space-time deformation and the resulting induced phase difference are evaluated in homogeneous electric fields. Using the theoretical …

Cascade Relaxation of the Gravitating Vacuum as a Generator of the Evolving Universe
V. N. Lukash (Astro Space Center, P. N. Lebedev Physical Institute, Russian Academy of Sciences, Russia), E. V. Mikheeva (Astro Space Center, P. N. Lebedev Physical Institute, Russian Academy of Sciences)
https://arxiv.org/abs/2506.03226

Cascade Relaxation of the Gravitating Vacuum as a Generator of the Evolving Universe
The cascade relaxation of a polarized vacuum in the expanding Universe is a chain of evolutionary epochs of decreasing its density with the exit of dominant fields (each in its own time) from the initial zero states to nonzero values, from the dominant scalar field in the early Universe to subsequent ones, including the $Λ$-term in the modern Universe. The cascade vacuum relaxation creates the entire observable cosmology from the Friedmann model with small perturbations of the metric with non-…