Tootfinder

🇺🇦 Auf radioeins läuft...
Sade:
🎵 No Ordinary Love
#NowPlaying #Sade
https://axelvicious.bandcamp.com/track/sade-no-ordinary-love-axel-vicious-edit
https://open.spotify.com/track/1oaaSrDJimABpOdCEbw2DJ

Positive density of primes of ordinary reduction for abelian varieties of simple signature
Victoria Cantoral Farf\'an, Wanlin Li, Elena Mantovan, Rachel Pries, Yunqing Tang
https://arxiv.org/abs/2508.11174

Positive density of primes of ordinary reduction for abelian varieties of simple signature
By a result of Serre, if $A$ is an elliptic curve without CM defined over a number field $L$, then the set of primes of $L$ for which $A$ has ordinary reduction has density $1$. Katz and Ogus proved the same is true when $A$ is an abelian surface, after possibly passing to a finite extension of $L$. More recently, Sawin computed the density of the set of primes of $L$ for which an abelian surface $A$ has ordinary reduction, depending on the endomorphism algebra of $A$. In this paper, we prove s…

The Trump administration and the Republican majority in Congress recently pushed through more tax giveaways to the ultra-rich and big corporations,
while slashing essential services like Medicaid, food assistance, and other programs that tens of millions of ordinary people rely on.
We must keep fighting back. 
Urge lawmakers to enact bold tax reforms that put people over profits
and ensure the ultra-rich and corporations pay their fair share. 

Tax the ultra-rich
Urge lawmakers to enact bold tax reforms that put people over profits and ensure the ultra-rich and corporations pay their fair share.

Theory and internal structure of ADER-DG method for ordinary differential equations
I. S. Popov
https://arxiv.org/abs/2508.13824 https://arxiv.org/pdf/2508…

Theory and internal structure of ADER-DG method for ordinary differential equations
Investigation of the approximation properties, convergence, and stability of the ADER-DG method for solving an ODE system is carried out. The ADER-DG method generates a new implicit RK method, which is similar in its properties to the original ADER-DG method. The ADER-DG method has an approximation order $2N+1$ when using polynomials of degree $N$ for the numerical solution at grid nodes, and demonstrates superconvergence. The local solution obtained by the local DG predictor has an approximati…

Refinement-Types Driven Development: A study
Facundo Dom\'inguez, Arnaud Spiwack
https://arxiv.org/abs/2509.15005 https://arxiv.org/pdf/2509.15005

Refinement-Types Driven Development: A study
This paper advocates for the broader application of SMT solvers in everyday programming, challenging the conventional wisdom that these tools are solely for formal methods and verification. We claim that SMT solvers, when seamlessly integrated into a compiler's static checks, significantly enhance the capabilities of ordinary type checkers in program composition. Specifically, we argue that refinement types, as embodied by Liquid Haskell, enable the use of SMT solvers in mundane programming tas…

Learning Rate Should Scale Inversely with High-Order Data Moments in High-Dimensional Online Independent Component Analysis
M. Oguzhan Gultekin, Samet Demir, Zafer Dogan
https://arxiv.org/abs/2509.15127

Learning Rate Should Scale Inversely with High-Order Data Moments in High-Dimensional Online Independent Component Analysis
We investigate the impact of high-order moments on the learning dynamics of an online Independent Component Analysis (ICA) algorithm under a high-dimensional data model composed of a weighted sum of two non-Gaussian random variables. This model allows precise control of the input moment structure via a weighting parameter. Building on an existing ordinary differential equation (ODE)-based analysis in the high-dimensional limit, we demonstrate that as the high-order moments increase, the algorit…

Gaia Barium Dwarfs and Their Ostensibly Ordinary Counterparts
Param Rekhi, Sahar Shahaf, Sagi Ben-Ami, Na'ama Hallakoun, Johanna M\"uller-Horn, Silvia Toonen, Hans-Walter Rix
https://arxiv.org/abs/2509.13413

Gaia Barium Dwarfs and Their Ostensibly Ordinary Counterparts
The recently identified Gaia population of main-sequence--white dwarf (MS+WD) binaries at separations of ${\sim}\,1~{\rm AU}$, often with moderate eccentricities, is not readily reproduced by binary population synthesis models. Barium stars represent a closely related population whose enrichment in $s$-process elements both confirms the presence of a WD companion and attests to past binary interaction. It also indicates that mass transfer occurred at least during the late- and post-AGB phases o…

On surfaces satisfying $q=0,p_g=0,c_1^2=9$
Kirti Joshi
https://arxiv.org/abs/2508.12339 https://arxiv.org/pdf/2508.12339

On surfaces satisfying $q=0,p_g=0,c_1^2=9$
I consider the class of surfaces $X$ over algebraically closed fields with numerical invariants given in the title. In characteristic zero, this class contains fake projective planes which were introduced by David Mumford. I prove that in characteristic $p>0$ such surfaces are Hodge-Witt and also ordinary under additional assumptions. In particular, fake projective planes are Hodge-Witt (Theorem 3.1). I show that if $X$ is Frobenius split then $X\simeq \mathbb{P}^2$ (Theorem 4.1). I also establ…

Born-Oppenheimer EFT: a unified description of ordinary and exotic quarkonia
Antonio Vairo
https://arxiv.org/abs/2509.13043 https://arxiv.org/pdf/2509.1304…

Born-Oppenheimer EFT: a unified description of ordinary and exotic quarkonia
We show how the Born-Oppenheimer effective field theory (BOEFT) provides a unified description of ordinary and exotic quarkonia grounded on the non-relativistic expansions of QCD and supplemented with lattice QCD inputs. We apply BOEFT to tetraquarks, pentaquarks, quarkonium hybrids and to assess threshold effects in the quarkonium spectrum.

What’s the difference between ordinary functions and arrow functions in JavaScript?
Arrow functions (also known as ‘rocket’ functions) are concise and convenient. However, they have subtle differences compared to function declarations and function expressions. So how do you know which one to use, and when?
🧑‍💻

What’s the difference between ordinary functions and arrow functions in JavaScript?
Arrow functions (also known as ‘rocket’ functions) are concise and convenient. However, they have subtle differences compared to function declarations and function expressions. So how do you know which one to use, and when?

MeanFlowSE: one-step generative speech enhancement via conditional mean flow
Duojia Li, Shenghui Lu, Hongchen Pan, Zongyi Zhan, Qingyang Hong, Lin Li
https://arxiv.org/abs/2509.14858

MeanFlowSE: one-step generative speech enhancement via conditional mean flow
Multistep inference is a bottleneck for real-time generative speech enhancement because flow- and diffusion-based systems learn an instantaneous velocity field and therefore rely on iterative ordinary differential equation (ODE) solvers. We introduce MeanFlowSE, a conditional generative model that learns the average velocity over finite intervals along a trajectory. Using a Jacobian-vector product (JVP) to instantiate the MeanFlow identity, we derive a local training objective that directly sup…

Dynamics of conductive nonmagnetic objects in presence of the Lenz effect
Alessandro Arduino, Oriano Bottauscio, Michael Steckner, Umberto Zanovello, Luca Zilberti
https://arxiv.org/abs/2509.14976

Dynamics of conductive nonmagnetic objects in presence of the Lenz effect
Purpose: To model and predict the dynamics of conductive nonmagnetic objects within the MRI room under the influence of Lenz effect. Methods: The dynamics are described by an ordinary differential equation and the Lenz effect approximated by recognizing that the skin effect is negligible. This separated Lenz effect dependency on the object position and velocity, leading to a simple numerical procedure for objects of any shape. Results: The model and numerical procedure were validated with exper…

Mazur-Tate elements of non-ordinary modular forms with Serre weight larger than two
Rylan Gajek-Leonard, Antonio Lei
https://arxiv.org/abs/2508.11007 https://

Mazur-Tate elements of non-ordinary modular forms with Serre weight larger than two
Fix an odd prime $p$ and let $f$ be a non-ordinary eigen-cuspform of weight $k$ and level coprime to $p$. Assuming $p>k-1$, we compute asymptotic formulas for the Iwasawa invariants of the Mazur-Tate elements attached to $f$ in terms of the corresponding invariants of the signed $p$-adic $L$-functions. By combining this with a version of mod $p$ multiplicity one, we also obtain descriptions of the $λ$-invariants of Mazur-Tate elements attached to certain higher weight modular forms with Serre …

Photographic exhibition on Authoritarianism, Law, and the Remaking of Society
https://ift.tt/eyH35qi
Authoritarian regimes often use everyday laws and bureaucracy to target communities and consolidate…
via Input 4 RELCFP

Photographic exhibition on Authoritarianism, Law, and the Remaking of Society
Authoritarian regimes often use everyday laws and bureaucracy to target communities and consolidate power. From missing documents to viral jokes, ordinary actions can have extraordinary consequences. This exhibition explores how control is exercised through the mundane—and how people resist the quiet force of authoritarian rule.

Robust Convolution Neural ODEs via Contractivity-promoting regularization
Muhammad Zakwan, Liang Xu, Giancarlo Ferrari-Trecate
https://arxiv.org/abs/2508.11432 https://

Robust Convolution Neural ODEs via Contractivity-promoting regularization
Neural networks can be fragile to input noise and adversarial attacks. In this work, we consider Convolutional Neural Ordinary Differential Equations (NODEs), a family of continuous-depth neural networks represented by dynamical systems, and propose to use contraction theory to improve their robustness. For a contractive dynamical system two trajectories starting from different initial conditions converge to each other exponentially fast. Contractive Convolutional NODEs can enjoy increase…

Hierarchical Rectified Flow Matching with Mini-Batch Couplings
Yichi Zhang, Yici Yan, Alex Schwing, Zhizhen Zhao
https://arxiv.org/abs/2507.13350 https://

Hierarchical Rectified Flow Matching with Mini-Batch Couplings
Flow matching has emerged as a compelling generative modeling approach that is widely used across domains. To generate data via a flow matching model, an ordinary differential equation (ODE) is numerically solved via forward integration of the modeled velocity field. To better capture the multi-modality that is inherent in typical velocity fields, hierarchical flow matching was recently introduced. It uses a hierarchy of ODEs that are numerically integrated when generating data. This hierarchy …

Spontaneously Broken Non-Invertible Symmetries in Transverse-Field Ising Qudit Chains
Kristian Tyn Kai Chung, Umberto Borla, Andriy H. Nevidomskyy, Sergej Moroz
https://arxiv.org/abs/2508.11003

Spontaneously Broken Non-Invertible Symmetries in Transverse-Field Ising Qudit Chains
\usepackage{iopams} Recent developments have revealed that symmetries need not form a group, but instead can be non-invertible. Here we use analytical arguments and numerical evidence to illuminate how spontaneous symmetry breaking of a non-invertible symmetry is similar yet distinct from ordinary, invertible, symmetry breaking. We consider one-dimensional chains of group-valued qudits, whose local Hilbert space is spanned by elements of a finite group $G$ (reducing to ordinary qubits when $G=\…

Integrals of motion on extremals of the equation Euler-Lagrange
V. P. Koshcheev
https://arxiv.org/abs/2508.11735 https://arxiv.org/pdf/2508.11735

Integrals of motion on extremals of the equation Euler-Lagrange
It is shown that a chain of closed systems of first order ordinary differential equations describing the evolution of moments can be constructed using the Jacobi equation. It is shown that Wronsky determinants for fundamental matrices of closed systems of first order ordinary differential equations are integrals of motion on extremals of the Euler-Lagrange equation.

Comments on Class S(YK)
Micha Berkooz, Trivko Kukolj, Josef Seitz
https://arxiv.org/abs/2507.12524 https://arxiv.org/pdf/2507.12524…

Comments on Class S(YK)
We present a DSSYK-like interpretation of the Schur half-indices of $\mathcal{N}=2$ $SU(2)$ gauge theories with matter, in the presence of fundamental Wilson lines. The Schur half-indices of these theories can be understood as transition amplitudes in a non-vacuum sector of ordinary DSSYK. In the language of chord diagrams, the half-indices are obtained by summing over diagrams with special segments, which correspond to coherent states of the $q$-oscillator algebra. In addition, we show that th…

Dark Photon Oscillations in Waveguide
Yu-Xin Tian, Wenyu Wang, Wen-Na Yang, Bin Zhu
https://arxiv.org/abs/2509.14962 https://arxiv.org/pdf/2509.14962

Dark Photon Oscillations in Waveguide
Dark photons, which can kinetically mix with ordinary photons, represent the simplest extension to the standard model. Detecting their oscillations with visible photons could provide crucial insights into the nature of dark matter and fundamental interactions beyond the standard model. We propose a novel laboratory-based approach to detect dark photon oscillations using a laser in an Optical Time-domain Relectometry (OTDR) setup. The laser light propagating through the optical fiber undergoes o…

Sometimes the mainstream news resembles bad horoscopes where ordinary frequent things are blown into alarms. The moon entering Aquarius is no more 'transformative' than it was last month, or the hundreds of months before that. OMG Mars square Jupiter, just like a year ago.
Oh, and before you jump on horoscopes, I'm speaking metaphorically about mainstream news 😅 In this era of Attention Seeking, the mundane has no place.
Oh look? …

Adaptive Off-Policy Inference for M-Estimators Under Model Misspecification
James Leiner, Robin Dunn, Aaditya Ramdas
https://arxiv.org/abs/2509.14218 https://

Adaptive Off-Policy Inference for M-Estimators Under Model Misspecification
When data are collected adaptively, such as in bandit algorithms, classical statistical approaches such as ordinary least squares and $M$-estimation will often fail to achieve asymptotic normality. Although recent lines of work have modified the classical approaches to ensure valid inference on adaptively collected data, most of these works assume that the model is correctly specified. We propose a method that provides valid inference for M-estimators that use adaptively collected bandit data w…

Origin of Pulsed Radio Emission from Magnetars
Shuzhe Zeng, Alexander Philippov, James Juno, Andrei M. Beloborodov, Elena Popova
https://arxiv.org/abs/2509.13419 https://…

Origin of Pulsed Radio Emission from Magnetars
Extended periods of radio pulsations have been observed for six magnetars, displaying characteristics different from those of ordinary pulsars. In this Letter, we argue that radio emission is generated in a closed, twisted magnetic flux bundle originating near the magnetic pole and extending beyond 100 km from the magnetar. The electron-positron flow in the twisted bundle has to carry electric current and, at the same time, experiences a strong drag by the radiation field of the magnetar. This …

A class of flexible and efficient partitioned Runge-Kutta-Chebyshev methods for some time-dependent partial differential equations
Xiao Tang, Junwei Huang
https://arxiv.org/abs/2509.14847

A class of flexible and efficient partitioned Runge-Kutta-Chebyshev methods for some time-dependent partial differential equations
Many time-dependent partial differential equations (PDEs) can be transformed into an ordinary differential equations (ODEs) containing moderately stiff and non-stiff terms after spatial semi-discretization. In the present paper, we construct a new class of second-order partitioned explicit stabilized methods for the above ODEs. We treat the moderately stiff term with an s-stage Runge-Kutta-Chebyshev (RKC) method and treat the non-stiff term with a 4m-stage explicit Runge-Kutta (RK) method. Diff…

“Let’s stop pretending these are ‘concerned ordinary working-class people’ — they are far-right thugs who went to a demonstration organised by fascist Tommy Robinson."
Far-right thugs go ‘on the rampage’ in London | Morning Star
https://morningstaronline.co.uk/articl

It's so funny what tech people think ordinary computer users can "just" do.
"Just go into your BIOS and enable TPM!"
"Just buy and install a TPM module on your motherboard!"
"Just research and select the best Linux distro for you!"

Data-driven modeling of a settling sphere in a quiescent medium
Haoyu Wang, Isaac J. G. Lewis, Soohyeon Kang, Yuechao Wang, Leonardo P. Chamorro, C. Ricardo Constante-Amores
https://arxiv.org/abs/2507.12551

Data-driven modeling of a settling sphere in a quiescent medium
We develop data-driven models to predict the dynamics of a freely settling sphere in a quiescent Newtonian fluid using experimentally obtained trajectories. Particle tracking velocimetry was used to obtain a comprehensive dataset of settling motions, which we use to train neural networks that model the spatial evolution of a spherical particle without explicitly resolving the surrounding fluid dynamics. We employ deterministic neural ordinary differential equations (NODEs) and stochastic neural…

It's not a FAD: first results in using Flows for unsupervised Anomaly Detection at 40 MHz at the Large Hadron Collider
Francesco Vaselli, Maurizio Pierini, Maciej Mikolaj Glowacki, Thea Aarrestad, Katya Govorkova, Vladimir Loncar, Dimitrios Danopoulos, Felice Pantaleo
https://arxiv.org/abs/2508.11594

It's not a FAD: first results in using Flows for unsupervised Anomaly Detection at 40 MHz at the Large Hadron Collider
We present the first implementation of a Continuous Normalizing Flow (CNF) model for unsupervised anomaly detection within the realistic, high-rate environment of the Large Hadron Collider's L1 trigger systems. While CNFs typically define an anomaly score via a probabilistic likelihood, calculating this score requires solving an Ordinary Differential Equation, a procedure too complex for FPGA deployment. To overcome this, we propose a novel, hardware-friendly anomaly score defined as the square…

“…across social media, extraordinary scenes keep surfacing - unarmed men & women staring down heavily armed masked men. People getting out of their cars or running out of restaurants to confront ICE agents.
…not lone individuals who suddenly snap. This is grassroots non-violent resistance. When the rule of law has failed in the courts and in democracy, ordinary people have stepped up to defend their neighbours.”

Rethinking the Role of the Bystander
Trump's storm troopers couldn't be more menacing, even if they adopted the Death's Head symbol of the SS.

🇺🇦 #NowPlaying on KEXP's #DriveTime
Sade:
🎵 No Ordinary Love (Axel Vicious edit)
#Sade
https://axelvicious.bandcamp.com/track/sade-no-ordinary-love-axel-vicious-edit
https://open.spotify.com/track/1oaaSrDJimABpOdCEbw2DJ

Catastrophic disruption of asteroid 2023 CX1 and implications for planetary defense
Auriane Egal, Denis Vida, Fran\c{c}ois Colas, Brigitte Zanda, Sylvain Bouley, Asma Steinhausser, Pierre Vernazza, Ludovic Ferri\`ere, J\'er\^ome Gattacceca, Mirel Birlan, J\'er\'emie Vaubaillon, Karl Antier, Simon Anghel, Josselin Desmars, K\'evin Bailli\'e, Lucie Maquet, S\'ebastien Bouquillon, Adrien Malgoyre, Simon Jeanne, Ji\v{r}i Borovi\v{c}ka, Pavel Spurn\'y, Hadrien A.…

Catastrophic disruption of asteroid 2023 CX1 and implications for planetary defense
Mitigation of the threat from airbursting asteroids requires an understanding of the potential risk they pose for the ground. How asteroids release their kinetic energy in the atmosphere is not well understood due to the rarity of significant impacts. Ordinary chondrites, in particular L chondrites, represent a frequent type of Earth-impacting asteroids. Here, we present the first comprehensive, space-to-lab characterization of an L chondrite impact. Small asteroid 2023 CX1 was detected in spac…

Crosslisted article(s) found for math.AG. https://arxiv.org/list/math.AG/new
[1/1]:
- Positive density of primes of ordinary reduction for abelian varieties of simple signature
Victoria Cantoral Farf\'an, Wanlin Li, Elena Mantovan, Rachel Pries, Yunqing Tang

still boggled by Don Rickles in a Rare Dramatic Role.
I mean, he's still a ways off from unseating Mary Tyler Moore doing "Ordinary People",
but, man, that was a creditable performance.
#Monsterdon

Lie symmetry analysis and similarity reductions for the tempered-fractional Keller Segel system
Ghorbanali Haghighatdoost, Mustafa Bazghandi
https://arxiv.org/abs/2509.11690 htt…

Lie symmetry analysis and similarity reductions for the tempered-fractional Keller Segel system
We perform a Lie symmetry analysis on the tempered-fractional Keller Segel (TFKS) system, a chemo- taxis model incorporating anomalous diffusion. A novel approach is used to handle the nonlocal nature of tempered fractional operators. By deriving the full set of Lie point symmetries and identifying the optimal one-dimensional subalgebras, we reduce the TFKS PDEs to ordinary differential equations (ODEs), yielding new exact solutions. These results offer insights into the long-term behavior and …

Zelenskyy: Russia is deliberately targeting ordinary homes! #shorts: https://benborges.xyz/2025/08/28/zelenskyy-russia-is-deliberately-targeting.html

Probing For Non-Gravitational Long-Range Dark Matter Interactions
M. P. Ross, E. A. Shaw, C. Gettings, S. K. Apple, I. A. Paulson, J. H. Gundlach
https://arxiv.org/abs/2509.10701

Probing For Non-Gravitational Long-Range Dark Matter Interactions
Dark matter remains a mystery in fundamental physics. The only evidence for dark matter's existence is from gravitational interactions. We constructed a precision torsion balance experiment to search for non-gravitational, long-range interactions between ordinary matter in our lab and the Milky Way's dark matter. We find no evidence of such interaction and set strict upper bounds on its strength. These results suggest that dark matter only interacts gravitationally over long distances and const…

Asymptotic behavior of solutions to the Dirac system with respect to a spectral parameter
Alexander Gomilko, {\L}ukasz Rzepnicki
https://arxiv.org/abs/2507.12147

Asymptotic behavior of solutions to the Dirac system with respect to a spectral parameter
We consider the Dirac system of ordinary differential equations \[ Y'(x) + \begin{bmatrix} 0 & σ_1(x) \\ σ_2(x) & 0 \end{bmatrix} Y(x) = iμ\begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix} Y(x), \quad Y(x) = \begin{bmatrix} y_1(x) \\ y_2(x) \end{bmatrix}, \] where $x \in [0,1]$, $μ\in \mathbb{C}$ is a spectral parameter, and $σ_j \in L^p[0,1],$ $j = 1,2,$ for $p \in [1,2).$ We study the asymptotic behavior of the system's fundamental solutions as $|μ| \to \infty$ in the half-plane $…

Realistic shell model for ordinary muon capture of sd-shell nuclei
S. L. Lyu, G. De Gregorio, T. Fukui, N. Itaco, L. Coraggio
https://arxiv.org/abs/2508.06221 https://

Realistic shell model for ordinary muon capture of sd-shell nuclei
We report about a study of the ordinary muon capture in nuclei belonging to the sd shell, an electroweak process that occurs with exchange momenta far larger than ordinary beta decays (approximately 100 MeV). Such a characteristic places this transition in an energy range that is consistent with the neutrinoless double-beta decay, and represents an interesting test for nuclear models to support their predictions of the nuclear matrix elements for such an unobserved process. For the first time, …

A trust-region method for optimal control of ODEs with continuous-or-off controls and TV regularization
Markus Friedemann, Gerd Wachsmuth
https://arxiv.org/abs/2508.10692 https:…

A trust-region method for optimal control of ODEs with continuous-or-off controls and TV regularization
A solution algorithm for a special class of optimal control problems subject to an ordinary differential equation is proposed. The controls possess a continuous-or-off structure and are priced by a convex function. Additionally a total variation regularization is applied to penalize switches. Our solution method combines a trust-region method and a proximal gradient method. The subproblems are solved via Bellman's optimality principle. Convergence with respect to a criticality measure is proven…

Political violence is violence against politicians. Violence against ordinary people by politicians is just politics.

Existence and uniqueness of Remotely Almost Periodic solutions of differential equations and applications
Diego Jaure, Christopher Maulen
https://arxiv.org/abs/2509.11069 https:…

Existence and uniqueness of Remotely Almost Periodic solutions of differential equations and applications
We establish existence and uniqueness of remotely almost periodic (RAP) solutions for nonlinear ordinary differential systems $x' = A(t)x + f(t,x) + g_ν(t,x).$ Assuming that the linear equation $x' = A(t)x$ admits an exponential dichotomy and that the associated Green kernel is exponentially bi-remotely almost periodic, we derive sufficient conditions guaranteeing a unique RAP solution of the perturbed system for $ν$ in a suitable range. As an application, we obtain RAP solutions for a nonaut…

Congruences of $p$-adic $L$-functions of modular forms at non-ordinary primes
Raiza Corpuz, Antonio Lei
https://arxiv.org/abs/2508.09733 https://arxiv.org/…

Congruences of $p$-adic $L$-functions of modular forms at non-ordinary primes
We present an analogue of Greenberg-Vatsal's and Emerton-Pollack-Weston's results on congruences of $p$-adic $L$-functions for $p$-non-ordinary cuspidal eigenforms $f$ and $g$ of equal weight that are $p$-congruent. In particular, we prove that the Iwasawa invariants of the analytic and algebraic signed $p$-adic $L$-functions of $f$ and $g$ are related by explicit formulae under appropriate hypotheses. We also show under the same assumptions that provided the algebraic and analytic $μ$-invaria…

Learning non-Markovian Dynamical Systems with Signature-based Encoders
Eliott Pradeleix, R\'emy Hosseinkhan-Boucher, Alena Shilova, Onofrio Semeraro, Lionel Mathelin
https://arxiv.org/abs/2509.12022

Learning non-Markovian Dynamical Systems with Signature-based Encoders
Neural ordinary differential equations offer an effective framework for modeling dynamical systems by learning a continuous-time vector field. However, they rely on the Markovian assumption - that future states depend only on the current state - which is often untrue in real-world scenarios where the dynamics may depend on the history of past states. This limitation becomes especially evident in settings involving the continuous control of complex systems with delays and memory effects. To capt…

It's just an ordinary #caturday, I think I'll spare my other socials which got a stick of photos for International Cat Day yesterday.
Kim is sitting in her usual spot, I took this with the 7Artisan 50mm/0.95 manual focus lens which I reach for whenever I get bored
#cat

🇺🇦 #NowPlaying on #BBC6Music's #LaurenLaverne
Toro y Moi:
🎵 Ordinary Pleasure
#ToroyMoi
https://toroymoi.bandcamp.com/track/ordinary-pleasure
https://open.spotify.com/track/6SlYQ2fAKWSfHEHNhH2kgM

The Silicon Reasonable Person: Can AI Predict How Ordinary People Judge Reasonableness?
Yonathan A. Arbel
https://arxiv.org/abs/2508.02766 https://arxiv.or…

The Silicon Reasonable Person: Can AI Predict How Ordinary People Judge Reasonableness?
In everyday life, people make countless reasonableness judgments that determine appropriate behavior in various contexts. Predicting these judgments challenges the legal system, as judges' intuitions may not align with broader societal views. This Article investigates whether large language models (LLMs) can learn to identify patterns driving human reasonableness judgments. Using randomized controlled trials comparing humans and models across multiple legal contexts with over 10,000 simulated…

Here's a great one (and I had never seen his photo before... not the thing that interests me the most; just a curiosity)
https://c.im/@newghoststories/114829647396253504

David Paul Nixon (@newghoststories@c.im)
Attached: 1 image #BOTD sci-fi horror author John Wyndham. So-called “master of the middle-class catastrophe" his stories often centre around ideas of genetic manipulation and augmentation, but set within ordinary homes and small communities. Works include Chocky & The Day of the Triffids. #books #horror #scifi #bookstodon

🔊 #NowPlaying on #BBCRadio3:
#TheEssay
- Music in Bloom
Katie Derham visits The Lost Gardens of Heligan to find stories of covered gardens, the ordinary people who made them, and how we uncover traditional folk music.
Relisten now 👇
https://www.bbc.co.uk/programmes/m002f7rs

Infrared Spectroradiometry of Lithium Benzoate from 21 to 235 THz
Yoshitaka Okuyama, Youichi Ishikawa
https://arxiv.org/abs/2509.11643 https://arxiv.org/pd…

Infrared Spectroradiometry of Lithium Benzoate from 21 to 235 THz
This paper presents an extensive survey of the thermal radiation properties of lithium benzoate. We heated the sample from 313 to 553 K, just below the melting point, while performing an infrared spectroradiometry with an FT-IR spectrometer from 21 to 235 THz (700-7800 cm$^{-1}$). We have provided a detailed analysis of the infrared spectrum data and a comparison of the absorption spectrum of the same sample. It turned out that the recorded spectra are not only different from ordinary absorptio…

Universal Driven Critical Dynamics near the Boundary
Yu-Rong Shu, Shuai Yin
https://arxiv.org/abs/2509.10049 https://arxiv.org/pdf/2509.10049

Universal Driven Critical Dynamics near the Boundary
The celebrated Kibble-Zurek mechanism (KZM) describes the scaling of physical quantities when external parameters sweep through a critical point. Boundaries are ubiquitous in real systems, and critical behaviors near the boundary have attracted extensive research. Different boundary universality classes, including ordinary, special, extraordinary, and surface transitions, have been identified. However, the driven critical dynamics near boundaries remains unexplored. Here, we systematically inve…

Optimality Principles and Neural Ordinary Differential Equations-based Process Modeling for Distributed Control
Michael R. Wartmann, B. Erik Ydstie
https://arxiv.org/abs/2508.04799

Optimality Principles and Neural Ordinary Differential Equations-based Process Modeling for Distributed Control
Most recent advances in machine learning and analytics for process control pose the question of how to naturally integrate new data-driven methods with classical process models and control. We propose a process modeling framework enabling integration of data-driven algorithms through consistent topological properties and conservation of extensive quantities. Interconnections among process network units are represented through connectivity matrices and network graphs. We derive the system's natu…

Characterizing Small Circuit Classes from FAC^0 to FAC^1 via Discrete Ordinary Differential Equations
Melissa Antonelli, Arnaud Durand, Juha Kontinen
https://arxiv.org/abs/2506.23404

Characterizing Small Circuit Classes from FAC^0 to FAC^1 via Discrete Ordinary Differential Equations
In this paper, we provide a uniform framework for investigating small circuit classes and bounds through the lens of ordinary differential equations (ODEs). Following an approach recently introduced to capture the class of polynomial-time computable functions via ODE-based recursion schemas and later applied to the context of functions computed by unbounded fan-in circuits of constant depth (FAC^0), we study multiple relevant small circuit classes. In particular, we show that natural restrictio…

Can a small Gaussian perturbation break subadditivity?
Paolo Leonetti
https://arxiv.org/abs/2509.11432 https://arxiv.org/pdf/2509.11432

Can a small Gaussian perturbation break subadditivity?
Given an integer $a\ge 1$, a function $f: \mathbb{R}\to \mathbb{R}$ is said to be $a$-subadditive if $$ f(ax+y) \le af(x)+f(y) \,\,\,\text{ for all }x,y \in \mathbb{R}. $$ Of course, $1$-subadditive functions (which correspond to ordinary subadditive functions) are $2$-subadditive. % and $3$-subadditive. Answering a question of Matkowski, we show that there exists a continuous function $f$ satisfying $f(0)=0$ which is $2$-subadditive but not $1$-subadditive. In addition, the same example is not…

Near-realtime Earth Observation Via Starlink LEO Satellite Constellation
Bo Wu (University of Pittsburgh), Pengfei Zhou (University of Pittsburgh)
https://arxiv.org/abs/2508.10338

Near-realtime Earth Observation Via Starlink LEO Satellite Constellation
Earth observation (EO) satellites in Low Earth Orbit (LEO) are collecting vast amounts of data, which are invaluable for applications such as monitoring forest fires. However, data downloading from EO satellites faces significant challenges due to the limited number of ground stations and the brief communication windows with them. Conversely, emerging LEO constellations like Starlink have enabled continuous connectivity and revolutionized access for ordinary users globally, who can connect via …

Spin-polarization and diode effect in thermoelectric current through altermagnet-based superconductor heterostructures
Debika Debnath, Arijit Saha, Paramita Dutta
https://arxiv.org/abs/2509.12198

Spin-polarization and diode effect in thermoelectric current through altermagnet-based superconductor heterostructures
The recent advent of a new class of magnetic material named as altermagnet (AM), characterized by a combination of momentum-dependent spin-splitting with zero net magnetization, has opened up promising prospects for spintronic applications. We theoretically explore how the altermagnetic spin-splitting affects the thermoelectric quasiparticle current in AM-based superconducting heterostructures. Our setup comprises of a bilayer system where a $d$-wave AM is proximity coupled to an ordinary $s$-w…

How the US democracy is designed to avoid representation
Right now in the US, a system which proclaims to give each citizen representation, my interests are not represented very well by most of my so-called representatives at any level of government. This is true for a majority of Americans across the political spectrum, and it happens by design. The "founding fathers" were explicit about wanting a system of government that would appear Democratic but which would keep power in the hands of rich white landowners, and they successfully designed exactly that. But how does disenfranchisement work in this system?
First, a two-party system locked in by first-post-the-post winner-takes-all elections immediately destroys representation for everyone who didn't vote for the winner, including those who didn't vote or weren't eligible to vote. Single-day non-holiday elections and prisoner disenfranchisement go a long way towards ensuring working-class people get no say, but much larger is the winner-takes all system. In fact, even people who vote for the winning candidate don't get effective representation if they're really just voting against the opponent as the greater of two evils. In a 51/49 election with 50% turnout, you've immediately ensured that ~75% of eligible voters don't get represented, and with lesser-of-two-evils voting, you create an even wider gap to wedge corporate interests into. Politicians need money to saturate their lesser-of-two-evils message far more than they need to convince any individual voter to support their policies. It's even okay if they get caught lying, cheating, or worse (cough Epstein cough) as long as the other side is also doing those things and you can freeze out new parties.
Second, by design the Senate ensures uneven representation, allowing control of the least-populous half of states to control or at least shut down the legislative process. A rough count suggests 284.6 million live in the 25 most-populous states, while only 54.8 million live in the rest. Currently, counting states with divided representation as two half-states with half as much population, 157.8 million people are represented by 53 Republican sensors, while 180.5 million people get only 45 seats of Democratic representation. This isn't an anti-Democrat bias, it's a bias towards less-populous states, whose residents get more than their share it political power.
I haven't even talked about gerrymandering yet, or family/faith-based "party loyalty," etc. Overall, the effect is that the number of people whose elected representatives meaningfully represent their interests on any given issue is vanishingly small (like, 10% of people tops), unless you happen to be rich enough to purchase lobbying power or direct access.
If we look at polls, we can see how lack of representation lets congress & the president enact many policies that go against what a majority of the population wants. Things like abortion restrictions, the current ICE raids, and Medicare cuts are deeply unpopular, but they benefit the political class and those who can buy access. These are possible because the system ensures at every step of the way that ordinary people do NOT get the one thing the system promises them: representation in the halls of power.
Okay, but is this a feature of all democracies, inherent in the nature of a majority-decides system? Not exactly...
1/2
#uspol #democracy

Revisiting Q-ball Interactions with Matters
Ayuki Kamada, Takumi Kuwahara, Keiichi Watanabe
https://arxiv.org/abs/2507.10900 https://…

Revisiting Q-ball Interactions with Matters
Q-ball dark matter is one of candidates for the macroscopic dark matter: Q-ball is a non-topological solitonic configuration, whose stability can be ensured by global charge and energy conservation. One of the crucial factors for discovering signatures from the Q-ball dark matter, is the interactions of the Q-ball dark matter with ordinary matter. In particular, the scattering of ordinary matter off the Q-ball dark matter is important for the direct detection searches, such as paleo-detectors. …

Endoscopy for Modular Hecke Categories
Colton Sandvik
https://arxiv.org/abs/2508.10214 https://arxiv.org/pdf/2508.10214

Endoscopy for Modular Hecke Categories
Generalizing the theory of parity sheaves on complex algebraic stacks due to Juteau-Mautner-Williamson, we develop a theory of twisted equivariant parity sheaves. We use this formalism to construct a modular incarnation of Lusztig and Yun's monodromic Hecke category. We then give two applications: (1) a modular categorification of the monodromic Hecke algebra, and (2) a monoidal equivalence between the monodromic Hecke category of parity sheaves and the ordinary Hecke category of parity sheaves…

Protest, network, engage. It works. https://open.substack.com/pub/contrarian/p/its-about-the-corruption?r=7ackg&utm_campaign=post&utm_medium=email

Weaker Assumptions for Asymmetric Trust
Ignacio Amores-Sesar, Christian Cachin, Juan Villacis
https://arxiv.org/abs/2509.09493 https://arxiv.org/pdf/2509.0…

Weaker Assumptions for Asymmetric Trust
In distributed systems with asymmetric trust, each participant is free to make its own trust assumptions about others, captured by an asymmetric quorum system. This contrasts with ordinary, symmetric quorum systems and threshold models, where trust assumptions are uniformly shared among participants. Fundamental problems like reliable broadcast and consensus are unsolvable in the asymmetric model if quorum systems satisfy only the classical properties of consistency and availability. Existing a…

An alternative condition for the solvability of the Dirichlet problem for the minimal surface equation on non-mean convex domains
Ari J. Aiolfi, Giovanni da Silva Nunes, Jaime Ripoll, Lisandra Sauer, Rodrigo Soares
https://arxiv.org/abs/2508.09806

An alternative condition for the solvability of the Dirichlet problem for the minimal surface equation on non-mean convex domains
We propose an alternative condition for the solvability of the Dirichlet problem for the minimal surface equation that applies to non-mean convex domains. This condition is derived from a second-order ordinary differential equation whose solution produces a barrier that appears to be novel in the context of barrier constructions. It admits an explicit formulation and, in the setting of Hadamard manifolds, reveals a direct and transparent relationship between the geometry of the domain and the b…

"Yano-kun's Ordinary Days" TV anime begins on September 30!
PV2
#yanokun

Physics-informed neural network solves minimal surfaces in curved spacetime
Koji Hashimoto, Koichi Kyo, Masaki Murata, Gakuto Ogiwara, Norihiro Tanahashi
https://arxiv.org/abs/2509.10866

Physics-informed neural network solves minimal surfaces in curved spacetime
We develop a flexible framework based on physics-informed neural networks (PINNs) for solving boundary value problems involving minimal surfaces in curved spacetimes, with a particular emphasis on singularities and moving boundaries. By encoding the underlying physical laws into the loss function and designing network architectures that incorporate the singular behavior and dynamic boundaries, our approach enables robust and accurate solutions to both ordinary and partial differential equations…

Waldschmidt constants of symmetric sets of points in $\mathbb{P}^3$
Sebastian Calvo, Jack Huizenga, Tomasz Szemberg
https://arxiv.org/abs/2507.11888 https:…

Waldschmidt constants of symmetric sets of points in $\mathbb{P}^3$
Configurations of points defined by complex reflection groups have attracted a lot of attention recently in several directions of research, e.g., the containment problem between ordinary and symbolic powers of ideals, in the theory of unexpected hypersurfaces, in the study of sets of points whose general projections are complete intersections and in the ideas revolving around the Bounded Negativity Conjecture. In order to understand these configurations better several attempts have been underta…

Hungary, the USA, Britain - ordinary people round the world are marching IN OUR FUCKING MILLIONS against our governments and for humanity.
If I was in the ruling class, I'd be hurrying up that rocket to Mars, to be honest.
FUCK #KeirStarmer FUCK #Trump Fuck

»DOS already represents a foretaste of hell to many ordinary computer users, so they will probably have no difficulty restraining their enthusiasm for something which is two orders of magnitude more complicated than DOS.«
Found in a column/rant on Unix in "Your Computer" issue June 1990. #vintagecomputing

Peter & Kitra's SDCC 2025 video log... and autograph signing. Jesus, I'd spend SO much money if I had been there...

▶️ We Found the Coolest Stuff at San Diego Comic-Con 2025! - Ordinary Adventures
https://youtube.com/watch?v=AXFhoUCWFW4&si=3rB0OW6…

Behavioral Traits as Dynamical Systems: Utilizing Entropy to Analyze Longitudinal Psychometric Data in Coupled Ordinary Differential Equations
Anderson M. Rodriguez
https://arxiv.org/abs/2506.20622

Behavioral Traits as Dynamical Systems: Utilizing Entropy to Analyze Longitudinal Psychometric Data in Coupled Ordinary Differential Equations
Traits such as neuroticism persist across species despite exhibiting characteristics typically regarded as maladaptive. This project presents an alternative model for understanding the stability of such traits by integrating findings from the Swedish Adoption/Twin Study on Aging (Pedersen, 2015) (SATSA) with a system of recursive, biologically inspired ordinary differential equations (ODEs). To utilize the ODEs analytically, Shannon entropy is extracted from longitudinal Likert-scale psychometr…

"Study reveals surge in illegal arachnid trade via Facebook in Philippines"
#Philippines #Spiders #Facebook

Study reveals surge in illegal arachnid trade via Facebook in Philippines
In 2019, customs officers at a post office in the Philippine capital Manila unwrapped what looked like an ordinary parcel from Poland. Inside, they found 757 live tarantulas stuffed inside plastic containers, neatly packed like a twisted birthday surprise. Far from an isolated incident, this seizure reflects a long-running issue. Between 2010 and 2019, arachnids […]

An Analogy of Frequency Droop Control for Grid-forming Sources
Minghui Lu, Brett Ross
https://arxiv.org/abs/2508.07177 https://arxiv.org/pdf/2508.07177

An Analogy of Frequency Droop Control for Grid-forming Sources
In this paper, we present an analogy for a power system dominated by grid-forming (GFM) sources that proves to be a powerful visualization tool for analyses of power flow, frequency regulation, and power dispatch. Frequency droop characteristics of a typical GFM source are exactly reflected by an ordinary model of water vessels. The frequency is represented by visible water levels while the droop slope is reified by the vessel sizes. This proposed analogy allows us to use the intuitive water-fl…

The spontaneous Nernst coefficient of ferromagnets from the interplay of electron scattering and Berry curvature
Vittorio Basso, Adriano Di Pietro, Alessandro Sola
https://arxiv.org/abs/2508.08756

The spontaneous Nernst coefficient of ferromagnets from the interplay of electron scattering and Berry curvature
We employ the Boltzmann transport approach to derive the spontaneous Nernst coefficient for ferromagnetic metals, explicitly treating the transverse current density due to Berry curvature as a Fermi surface property. We find that the spontaneous Nernst coefficient is proportional to the inverse of the scattering time constant, implying that efficient spontaneous Nernst materials should exhibit relatively strong scattering, a stark contrast to ordinary Nernst materials. Furthermore, we establish…

Wave/particle duality in monitored Jaynes--Cummings resonances
Th. K. Mavrogordatos
https://arxiv.org/abs/2507.05837 https://arxiv.or…

Wave/particle duality in monitored Jaynes--Cummings resonances
We operationally uncover aspects of wave/particle duality for the open driven Jaynes-Cummings (JC) model in its strong-coupling limit. We lay special emphasis on the vacuum Rabi resonance, and determine the corresponding normalized intensity-field correlation function via mapping to ordinary resonance fluorescence. We demonstrate that temporal wave-particle fluctuations of light emanating from an established vacuum Rabi resonance are explicitly non-classical, while the limit of vanishing sponta…

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Deary:
🎵 No Ordinary Love
#Deary
https://deary.bandcamp.com/album/i-still-think-about-you-no-ordinary-love
https://open.spotify.com/track/2Yu8HfeGAZq07sEqrTWBMX

Solutions to Differential Algebraic Inequalities with Composite Bernstein Polynomials
Maxwell Hammond, Gage MacLin, Laurent Jay, Venanzio Cichella
https://arxiv.org/abs/2509.10340

Solutions to Differential Algebraic Inequalities with Composite Bernstein Polynomials
The Bernstein polynomial basis sees significant use owing to its unique properties, particularly in the field of optimal control. However, the basis is known to have a slow rate of convergence to the function it approximates. With this in mind, we introduce two collocation methods for solving general ordinary differential equations using composite Bernstein polynomials to preserve the basis properties while improving convergence. Of particular note is the integration based method which uses a m…

Mechanistic Learning with Guided Diffusion Models to Predict Spatio-Temporal Brain Tumor Growth
Daria Laslo, Efthymios Georgiou, Marius George Linguraru, Andreas Rauschecker, Sabine Muller, Catherine R. Jutzeler, Sarah Bruningk
https://arxiv.org/abs/2509.09610

Mechanistic Learning with Guided Diffusion Models to Predict Spatio-Temporal Brain Tumor Growth
Predicting the spatio-temporal progression of brain tumors is essential for guiding clinical decisions in neuro-oncology. We propose a hybrid mechanistic learning framework that combines a mathematical tumor growth model with a guided denoising diffusion implicit model (DDIM) to synthesize anatomically feasible future MRIs from preceding scans. The mechanistic model, formulated as a system of ordinary differential equations, captures temporal tumor dynamics including radiotherapy effects and es…

Manifold-Constrained Gaussian Processes for Inference of Mixed-effects Ordinary Differential Equations with Application to Pharmacokinetics
Yuxuan Zhao, Samuel W. K. Wong
https://arxiv.org/abs/2506.22313

Manifold-Constrained Gaussian Processes for Inference of Mixed-effects Ordinary Differential Equations with Application to Pharmacokinetics
Pharmacokinetic modeling using ordinary differential equations (ODEs) has an important role in dose optimization studies, where dosing must balance sustained therapeutic efficacy with the risk of adverse side effects. Such ODE models characterize drug plasma concentration over time and allow pharmacokinetic parameters to be inferred, such as drug absorption and elimination rates. For time-course studies involving treatment groups with multiple subjects, mixed-effects ODE models are commonly use…

Deep learning for chemical kinetic modeling in ammonia-methane combustion with a posteriori validation
Ke Xiao, Yangchen Xu, Han Li, Zhi X. Chen
https://arxiv.org/abs/2507.08277

Deep learning for chemical kinetic modeling in ammonia-methane combustion with a posteriori validation
Deep learning has shown considerable potential for alleviating the primary computational bottleneck in combustion simulations: the direct integration of stiff chemical ordinary differential equations (ODEs) in chemical kinetic modeling. This study investigates the application of deep neural networks (DNNs) as surrogate models for chemical kinetics in ammonia/methane combustion. Thermochemical training data are generated through manifold sampling of one-dimensional (1D) freely propagating premix…

Generalization Bound for a General Class of Neural Ordinary Differential Equations
Madhusudan Verma, Manoj Kumar
https://arxiv.org/abs/2508.18920 https://a…

Generalization Bound for a General Class of Neural Ordinary Differential Equations
Neural ordinary differential equations (neural ODEs) are a popular type of deep learning model that operate with continuous-depth architectures. To assess how well such models perform on unseen data, it is crucial to understand their generalization error bounds. Previous research primarily focused on the linear case for the dynamics function in neural ODEs - Marion, P. (2023), or provided bounds for Neural Controlled ODEs that depend on the sampling interval Bleistein et al. (2023). In this wor…

Constraints on Kinetic Mixing of Dark Photons from Dilepton Spectra
A. W. Romero Jorge, E. Bratkovskaya, T. Song, L. Sagunski
https://arxiv.org/abs/2507.11163

Constraints on Kinetic Mixing of Dark Photons from Dilepton Spectra
Dark photons, the hypothetical gauge bosons associated with an additional $U(1)^{\prime}$ symmetry, can couple to Standard Model particles through a small kinetic mixing parameter $\varepsilon$ with the ordinary photon. This mechanism provides a portal between the dark sector and visible matter. In this study, we present a procedure to derive theoretical upper bounds on the kinetic mixing parameter $\varepsilon^2(M_U)$ by analyzing dilepton spectra from heavy-ion collisions across a broad energ…

Local-global compatibility and the exceptional zero conjecture for GL(3)
Daniel Barrera Salazar, Andrew Graham, Chris Williams
https://arxiv.org/abs/2508.10225 https://

Local-global compatibility and the exceptional zero conjecture for GL(3)
We prove the exceptional zero conjecture of Greenberg--Benois for $p$-ordinary regular algebraic cuspidal automorphic representations of $\mathrm{GL}_3(\mathbb{A})$ which are Steinberg at $p$. In particular, we obtain the first cases of this conjecture for non-essentially-self-dual RACARs of $\mathrm{GL}_n(\mathbb{A})$. Our proof has two main parts. In Part 1, we use $p$-arithmetic cohomology to prove an exceptional zero formula using Gehrmann's automorphic $\mathcal{L}$-invariant. In Part 2 …

Singular zero-temperature system
Q. H. Liu, S. F. Xiao, D. Guo, K. J. Yin
https://arxiv.org/abs/2508.07389 https://arxiv.org/pdf/2508.07389

Singular zero-temperature system
It has long been taken for granted that there is only one type of thermodynamic system near absolute zero temperature: the ordinary one compatible with all statements of the third law, with a fundamental yet tacit assumption that all heat capacities in the system vanish as absolute temperature approaches zero. However, in the strict sense, the statements are not mutually equivalent. Once the tacit assumption is released, the inequivalence must remain, and we may have some systems that are only …

Frozen Neutron Stars
Chen Tan, Yong-Qiang Wang
https://arxiv.org/abs/2509.09338 https://arxiv.org/pdf/2509.09338 …

Frozen Neutron Stars
We investigate neutron stars with nonlinear magnetic monopoles in the framework of the Einstein-nonlinear electrodynamics model, specifically within the Bardeen and Hayward models. Solving the modified Tolman-Oppenheimer-Volkoff equations for three different equations of state, we find that upon reaching the critical magnetic charge $q_{c}$, neutron stars enter frozen states characterized by the critical horizon. This extends the concept of frozen states to compact objects composed of ordinary …

You’d think AI stans would want to dissociate or rebrand now that ordinary people are using “AI” literally as an insult (“this looks like AI”, “is this AI?”)

On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension
Jefferson Baudin
https://arxiv.org/abs/2507.01797 https://

On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension
We show that a smooth proper weakly ordinary variety $X$ of maximal Albanese dimension satisfies $χ(X, ω_X) \geq 0$. We also show that if $X$ is not of general type, then $χ(X, ω_X) = 0$ and the Albanese image of $X$ is fibered by abelian varieties. The proof uses the positive characteristic generic vanishing theory developed by Hacon-Patakfalvi, as well as our recent Witt vector version of Grauert-Riemenschneider vanishing.

Weil-Petersson volumes for extended JT supergravity from ordinary differential equations
Wasif Ahmed, Clifford V. Johnson, Krishan Saraswat
https://arxiv.org/abs/2507.18715 http…

Weil-Petersson volumes for extended JT supergravity from ordinary differential equations
Recent work [1] produced an efficient method for computing Weil-Petersson volumes using two ordinary differential equations (ODEs) that appear naturally in double scaled random matrix models. One is the defining string equation of the model and the other is the Gel'fand-Dikii equation satisfied by the diagonal resolvent of an auxiliary Hamiltonian used to compute correlators of macroscopic loops. In concert, when applied to Jackiw-Teitelboim gravity, the recursive expansion of these two ODEs ef…

Trigonometric Interpolation Based Approach for Second Order Fredholm Integro-Differential Equations
Xiaorong Zou
https://arxiv.org/abs/2508.09413 https://a…

Trigonometric Interpolation Based Approach for Second Order Fredholm Integro-Differential Equations
A trigonometric interpolation algorithm for non-periodic functions has been recently proposed and applied to study general ordinary differential equation (ODE). This paper enhances the algorithm to approximate functions in $2$-dim space. Performance of the enhanced algorithm is expected to be similar as in $1$-dim case and achieve accuracy aligned with the smoothness of the target function, which is confirmed by numerical examples. As an application, the $2$-dim trigonometric interpolation me…

Recurrent Event Analysis with Ordinary Differential Equations
Bo Meng, Weijing Tang, Gongjun Xu, Ji Zhu
https://arxiv.org/abs/2507.20396 https://arxiv.org/…

Recurrent Event Analysis with Ordinary Differential Equations
This paper introduces a general framework for analyzing recurrent event data by modeling the conditional mean function of the recurrent event process as the solution to an Ordinary Differential Equation (ODE). This approach not only accommodates a wide range of semi-parametric recurrent event models, including both non-homogeneous Poisson processes (NHPPs) and non-Poisson processes, but also is scalable and easy-to-implement. Based on this framework, we propose a Sieve Maximum Pseudo-Likelihood…

Finite-Time Convergence Analysis of ODE-based Generative Models for Stochastic Interpolants
Yuhao Liu, Rui Hu, Yu Chen, Longbo Huang
https://arxiv.org/abs/2508.07333 https://

Finite-Time Convergence Analysis of ODE-based Generative Models for Stochastic Interpolants
Stochastic interpolants offer a robust framework for continuously transforming samples between arbitrary data distributions, holding significant promise for generative modeling. Despite their potential, rigorous finite-time convergence guarantees for practical numerical schemes remain largely unexplored. In this work, we address the finite-time convergence analysis of numerical implementations for ordinary differential equations (ODEs) derived from stochastic interpolants. Specifically, we esta…

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives
Xun Lin, Shizhuo Zhang, Zheng Zhang
https://arxiv.org/abs/2507.06995

Infinitesimal Torelli problems for special Gushel-Mukai and related Fano threefolds: Hodge theoretical and categorical perspectives
We investigate infinitesimal Torelli problems for some of the Fano threefolds of the following two types: (a) those which can be described as zero loci of sections of vector bundles on Grassmannians (for instance, ordinary Gushel-Mukai threefolds), and (b) double covers of rigid Fano threefolds branched along a $K3$ surface (such as, special Gushel-Mukai threefolds). The differential of the period map for ordinary Gushel-Mukai threefolds has been studied by Debarre, Iliev and Manivel; in partic…

Kriging prior Regression: A Case for Kriging-Based Spatial Features with TabPFN in Soil Mapping
Jonas Schmidinger, Viacheslav Barkov, Sebastian Vogel, Martin Atzmueller, Gerard B M Heuvelink
https://arxiv.org/abs/2509.09408

Kriging prior Regression: A Case for Kriging-Based Spatial Features with TabPFN in Soil Mapping
Machine learning and geostatistics are two fundamentally different frameworks for predicting and spatially mapping soil properties. Geostatistics leverages the spatial structure of soil properties, while machine learning captures the relationship between available environmental features and soil properties. We propose a hybrid framework that enriches ML with spatial context through engineering of 'spatial lag' features from ordinary kriging. We call this approach 'kriging prior regression' (KpR…

The structural method for Ordinary Differential Equations
S. Clain, M. T. Malheiro, G. J. Machado, R. Costa
https://arxiv.org/abs/2508.02440 https://arxiv.…

The structural method for Ordinary Differential Equations
We design and analyse a new numerical method to solve ODE system based on the structural method. We compute approximations of solutions together with its derivatives up to order $K$ by solving an entire block corresponding to $R$ time steps. We build the physical relations that connect the function and derivative approximations at each time step by using the ODE and its derivatives, and develop the structural equations that establish linear relations between the function and its derivative over…

Isogeny graphs of abelian varieties and singular ideals in orders
Sarah Arpin, Stefano Marseglia, Caleb Springer
https://arxiv.org/abs/2508.03570 https://a…

Isogeny graphs of abelian varieties and singular ideals in orders
Famously, Kohel proved that isogeny graphs of ordinary elliptic curves are beautifully structured objects, now called volcanos. We prove graph structural theorems for abelian varieties of any dimension with commutative endomorphism ring and containing a fixed locally Bass order, leveraging an ideal-theoretic perspective on isogeny graphs. This generalizes previous results, which relied on restrictive additional assumptions, such as maximal real multiplication, ordinary, and absolutely simple (B…

Normal forms for ordinary differential operators, II
Junhu Guo, A. B. Zheglov
https://arxiv.org/abs/2506.19799 https://arxiv.org/pdf/…

Normal forms for ordinary differential operators, II
In this paper, which is a follow-up of our first paper "Normal forms for ordinary differential operators, I", we extend the explicit parametrisation of torsion free rank one sheaves on projective irreducible curves with vanishing cohomology groups obtained earlier to analogous parametrisation of torsion free sheaves of arbitrary rank with vanishing cohomology groups on projective irreducible curves. As an illustration of our theorem we calculate one explicit example of such parametrisation, n…

Anticyclotomic Euler Systems for CM fields
Yu-Sheng Lee
https://arxiv.org/abs/2508.05861 https://arxiv.org/pdf/2508.05861

Anticyclotomic Euler Systems for CM fields
Let $K/F$ be a CM extension satisfying the ordinary assumption for an odd prime $p$ and let $ψ$ be a finite order anticyclotomic Hecke character of $K$. When $K$ has a place above $p$ of degree one, we apply Urban's method and the results from our previous work to construct an anticyclotomic Euler system for $ψ$ under minor assumptions and prove one side o the divisibility of the anticyclotomic Iwasawa main conjecture for $ψ$ when $p$ is inverted.

The Fourier Spectral Transformer Networks For Efficient and Generalizable Nonlinear PDEs Prediction
Beibei Li
https://arxiv.org/abs/2507.05584 https://

The Fourier Spectral Transformer Networks For Efficient and Generalizable Nonlinear PDEs Prediction
In this work we propose a unified Fourier Spectral Transformer network that integrates the strengths of classical spectral methods and attention based neural architectures. By transforming the original PDEs into spectral ordinary differential equations, we use high precision numerical solvers to generate training data and use a Transformer network to model the evolution of the spectral coefficients. We demonstrate the effectiveness of our approach on the two dimensional incompressible Navier-St…

Closed-form evaluations of log-sine integrals and Ap\'ery-like sums in terms of polylogarithms
Noam Shalev
https://arxiv.org/abs/2508.05770 https://arx…

Closed-form evaluations of log-sine integrals and Apéry-like sums in terms of polylogarithms
We present a new systematic method for evaluating generalized log-sine integrals in terms of polylogarithms. Our approach is based on an identity connecting ordinary generating functions of polylogarithms to integrals involving the sine function. This method provides closed-form expressions for log-sine integrals of weight up to 4 using only classical polylogarithms, while higher weights require Nielsen polylogarithms. Later we generalize this identity and show how it gives rise to numerous Ap�…

The completed Kirillov model and local-global compatibility for functions on Igusa varieties
Sean Howe
https://arxiv.org/abs/2506.24089 https://

The completed Kirillov model and local-global compatibility for functions on Igusa varieties
We describe the cuspidal functions $\mathbb{V}_b^{\mathrm{cusp}}$ on the ordinary Caraiani-Scholze Igusa variety for $\mathrm{GL}_2$ as a completion of the smooth Kirillov model for classical cuspidal modular forms, and identify a variant of Hida's ordinary $p$-adic modular forms with the coinvariants of an action of $\tildeμ_{p^\infty}$ on $\mathbb{V}_b^{\mathrm{cusp}}$. As a consequence of these results, we establish a weak local-global compatibility theorem for eigenspaces in $\mathbb{V}_b^…