Tootfinder

#NowPlaying - there's almost nothing jammy about the great #nyc trio weak signal & yet they respect the jam & occasionally even get out (here on "miami pt. 2"). mike bones is a fantastic songwriter, but it's the sound & spaciousness & general attitude of the band that keep…

This https://arxiv.org/abs/2310.13392 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Continuous Transition Between Weak and Strong Thermalization using Rigorous Bounds on Equilibration of Isolated Systems
We analyze strong and weak thermalization regimes from a perspective of rigorous mathematical upper bounds on the equilibration of isolated quantum systems. We show that weak equilibration can be understood to be due to the small effective dimension of the initial state. Furthermore, analyzing the scaling of an upper bound on the fluctuations, we show that the observable fluctuations decay exponentially with the system size for both weak and strong thermalization indicating no sharp transitions…

Beware the Weak Man, by @TimothyDSnyder
#DefendDemocracyAidUkraine #FundUkraineAidNow
https://<…

Beware the Weak Man
Thoughts from the Munich Security Conference

The Weak Lefschetz property and unimodality of Hilbert functions of random monomial algebras
Uwe Nagel, Sonja Petrovi\'c
https://arxiv.org/abs/2402.17618

The Weak Lefschetz property and unimodality of Hilbert functions of random monomial algebras
In this work, we investigate the presence of the weak Lefschetz property (WLP) and Hilbert functions for various types of random standard graded Artinian algebras. If an algebra has the WLP then its Hilbert function is unimodal. Using probabilistic models for random monomial algebras, our results and simulations suggest that in each considered regime the Hilbert functions of the produced algebras are unimodal with high probability. The WLP appears to be present with high probability most of t…

Existence and compactness of global weak solutions of three-dimensional axisymmetric Ericksen-Leslie system
Joshua Kortum, Changyou Wang
https://arxiv.org/abs/2403.18559

Existence and compactness of global weak solutions of three-dimensional axisymmetric Ericksen-Leslie system
In dimension three, the existence of global weak solutions to the axisymmetric simplified Ericksen-Leslie system without swirl is established. This is achieved by analyzing weak convergence of solutions of the axisymmetric Ginzburg-Landau approximated solutions as the penalization parameter $\varepsilon$ tends to zero. The proof relies on the one hand on the use of a blow-up argument to rule out energy concentration off the $z$-axis, which exploits the topological restrictions of the axisymmetr…

Check out today's Metacurity for the critical infosec developments you might have missed over the weekend, including
--Coffee County shut down access to state voter registration system following cyberattack
--Okta warns of unprecedented spike in credential stuffing attacks,
---Spy.pet crumbles after Discord ban,
--Ukraine hacking group claims attack on Russian telecom provider,
--Belarus hacktivists claim attack on country's security agency,
--UK bans devices that come with weak passwords,
--Canada's London Drugs temporarily shutters 79 stores following cyber incident,
--much more
https://www.metacurity.com/p/coffee-county-shut-access-state-voter-registration-system-following-cyberattack

This https://arxiv.org/abs/2401.00079 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Computable Scott sentences and the weak Whitehead problem for finitely presented groups
We prove that if $A$ is a computable Hopfian finitely presented structure, then $A$ has a computable $d$-$Σ_2$ Scott sentence if and only if the weak Whitehead problem for $A$ is decidable. We use this to infer that every hyperbolic group as well as any polycyclic-by-finite group has a computable $d$-$Σ_2$ Scott sentence, thus covering two main classes of finitely presented groups. Our proof also implies that every weakly Hopfian finitely presented group is strongly defined by its $\exists^+$…

Anna Sawai is fine. I was concerned about her role after watching Monarch but seems that was a weak character (or poorly directed) and this seems a better fit for her.

Reminders
Trump = Netanyahu
‘Netanyahu is essentially an Israeli Republican’
By Marc Caputo, August 15, 2019
https://www.politico.com/story/2019/08/15/israel-trump-netanyahu-1465917
Netanyahu’s woes mirror those of his ally Trump
By Joseph Krauss, Associated Press, Nov 22, 2019
https://www.pbs.org/newshour/amp/world/netanyahus-woes-mirror-those-of-his-ally-trump
Netanyahu... paints his Jewish opponents as weak ... “leftists,” and ... presents himself ... as the only person capable of leading the country.
By Asharq Al Awsat June 10, 2021
https://english.aawsat.com/home/article/3020331/israel’s-netanyahu-lashes-out-end-his-era-draws-near
Vote for Democracy!

Here is the end of a touching story about the Wendy Williams documentary. It's from the Washington Post.
I need some help: what is an "EP"?!
My google-fu is weak here. The article cites it as if everybody and his grandmother knows it. Hello?
(Maybe I shouldn't add the admission that I have, or at least had, no idea who Wendy Williams is. But the article is poignant all the same.)

‘It can be painful and sad.’ Wendy Williams documentary producers speak.
“Where is Wendy Williams?” executive producers Mark Ford and Erica Hanson talk about the documentary’s impact and the questions it raises about guardianships.

This https://arxiv.org/abs/2401.05203 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Products of varieties with many integral points
Corvaja and Zannier asked whether a smooth projective integral variety with a dense set of rational points over a number field satisfies the weak Hilbert property. We introduce an extension of the weak Hilbert property for schemes over arithmetic base rings by considering near-integral points, extending Corvaja-Zannier's question beyond the projective case. Building on work of Bary-Soroker-Fehm-Petersen and Corvaja-Demeio-Javanpeykar-Lombardo-Zannier, we prove several properties of this more ge…

Weak-lensing mass bias in the dissociative galaxy cluster Abell 56
Richards P. Albuquerque, Rubens E. G. Machado, Rogério Monteiro-Oliveira
https://arXiv.org/abs/2401.15044

Weak-lensing mass bias in the dissociative galaxy cluster Abell 56
In galaxy cluster collisions, the gas can be separated from dark matter halos. Abell $56$ displays signatures of a dissociative bullet-like merger with a possible high inclination angle between the plane of orbit and the sky. Our objective is to provide a comprehensive description of the features observed in the collision scenario of Abell $56$. Additionally, we aim to apply a potential weak lensing mass bias correction attributed to the merger to evaluate its impact on our findings. To investi…

Time-domain interferometry of electron weak localization through terahertz nonlinear response
Zi-Long Li, Xiao-Hui Li, Yuan Wan
https://arxiv.org/abs/2404.16867

Time-domain interferometry of electron weak localization through terahertz nonlinear response
We study theoretically the nonlinear optical response of disordered electrons in the regime of weak (anti)localization. Our analytical and numerical calculations reveal that, in orthogonal/symplectic class systems, two consecutive, phase coherent optical pulses generates an electric current echo that appears after the second pulse, and at a time equal to the pulse delay time. The current echo reflects the quantum interference between a self-intersecting electron path and its time reversal partn…

Accretion, greybody factor, quasinormal modes, power spectrum, sparsity of Hawking radiation, and weak gravitational lensing of a minimum measurable length inspired Schwarzchild black hole
Himangshu Barman, Ahmad Al-Badawi, Sohan Kumar Jha, Anisur Rahaman
https://arXiv.org/abs/2401.14833…

Accretion, greybody factor, quasinormal modes, power spectrum, sparsity of Hawking radiation, and weak gravitational lensing of a minimum measurable length inspired Schwarzchild black hole
In this manuscript, we delve into an analytic and numerical probe of shadow with different accretion models, quasinormal modes, Hawking radiation, and gravitational lensing to study observational impacts of quantum effect introduced throughh linear-quadratic GUP(LQG). Our investigation reveals that the shadows of LQG modified black holes are smaller and brighter than Schwarzschild black holes. To examine the impact of the quantum correction on the quasinormal mode, linear-quadratic GUP modified…

On noncommutative H\"older inequality of Sukochev and Zanin for weak Schatten class
Yi C. Huang, Sijie Luo
https://arxiv.org/abs/2403.17990 https://…

On noncommutative Hölder inequality of Sukochev and Zanin for weak Schatten class
Sukochev and Zanin resolved an open problem due to B. Simon concerning optimal constants in Hölder inequality for the weak Schatten classes of compact operators. In this note we observe that these constants, by introducing the modified weak Schatten quasi-norms, can be renormalised so that the original Simon's conjecture (with optimal constant 1) does hold. We also provide an unexpectedly simple proof for the modified Hölder inequality and its sharpness.

This https://arxiv.org/abs/2310.17038 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Weak reservoirs are superexponentially irrelevant for misanthrope processes
We provide a short proof for the exponential equivalence between misanthrope processes in contact with weak reservoirs and those with impermeable boundaries. As a consequence, we can derive both the hydrodynamic limit and the large deviations of the totally asymmetric simple exclusion process (TASEP) in contact with weak reservoirs. This extends a recent result which proved the hydrodynamic behaviour of a vanishing viscocity approximation of the TASEP in contact with weak reservoirs. Further ap…

This should have been the industry standard long ago. It is much better now than it was a decade ago, but it still happens way too often. I recently set up a new enterprise device with the default user/pass of admin:admin.
The UK ban on default bad passwords should benefit the globe.
https://

UK becomes first country to ban default bad passwords on IoT devices
Britain now has IoT hardware standards that ban weak or easily guessable default passwords such as “admin” or “12345." Manufacturers are also required to publish contact details so users can report bugs.

Weak-linearity, globality and in-place update
Hector Gramaglia
https://arxiv.org/abs/2402.16534 https://arxiv.org/pdf/2402.16534

Weak-linearity, globality and in-place update
Computational interpretations of linear logic allow static control of memory resources: the data produced by the program are endowed through its type with attributes that determine its life cycle. This has promoted numerous investigations into safe introduction of in-place update. Various type systems have been proposed for this aim, but linearity and correctness of in-place update are properties that are not fully compatible. The main achievement of this work is to establish a simple theoretic…

I don't know why I subscribe to all these people talking about politics and others who bring in drama where there should be none. It's just giving me a headache. Instead of that, how about a funny picture? #meme

Learning the Covariance of Treatment Effects Across Many Weak Experiments
Aur\'elien Bibaut, Winston Chou, Simon Ejdemyr, Nathan Kallus
https://arxiv.org/abs/2402.17637

Learning the Covariance of Treatment Effects Across Many Weak Experiments
When primary objectives are insensitive or delayed, experimenters may instead focus on proxy metrics derived from secondary outcomes. For example, technology companies often infer long-term impacts of product interventions from their effects on weighted indices of short-term user engagement signals. We consider meta-analysis of many historical experiments to learn the covariance of treatment effects on different outcomes, which can support the construction of such proxies. Even when experiments…

Linear Programming in Isabelle/HOL
Julian Parsert
https://arxiv.org/abs/2403.19639 https://arxiv.org/pdf/2403.19639

Linear Programming in Isabelle/HOL
Linear programming describes the problem of optimising a linear objective function over a set of constraints on its variables. In this paper we present a solver for linear programs implemented in the proof assistant Isabelle/HOL. This allows formally proving its soundness, termination, and other properties. We base these results on a previous formalisation of the simplex algorithm which does not take optimisation problems into account. Using the weak duality theorem of linear programming we obt…

This https://arxiv.org/abs/2309.06518 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Pattern Avoidance in Weak Ascent Sequences
In this paper, we study pattern avoidance in weak ascent sequences, giving some results for patterns of length 3. This is an analogous study to one given by Duncan and Steingrímsson for ascent sequences \cite{DS}. More precisely, we provide systematically the generating functions for the number of weak ascent sequences avoiding the patterns $001, 011, 012, 021$, and $102$. Additionally, we establish bijective connections between pattern-avoiding weak ascent sequences and other combinatorial ob…

This https://arxiv.org/abs/2305.08597 has been replaced.
initial toot: https://mastoxiv.page/@…

Analytical solution for optimal protocols of weak drivings
One of the main objectives of science is the recognition of a general pattern in a particular phenomenon in some particular regime. In this work, this is achieved with the analytical expression for the optimal protocol that minimizes the thermodynamic work and its variance for finite-time, isothermal, and weak processes. The method that solves the Euler-Lagrange integral equation is quite general and depends only on the time-reversal symmetry of the optimal protocol. The solution is composed of…

Symbolic picture of comet 12P Pons Brooks. Taken from the backscreen of a Canon 6D, a single shot with a 200/2.8 fixed lens.
At least, I've found it in this lovely, if a bit chilly sky of SW-Germany tonight.

This https://arxiv.org/abs/2402.14799 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Weak polynomial identities of small degree for the Weyl algebra
In this paper we investigate weak polynomial identities for the Weyl algebra $\mathsf{A}_1$ over an infinite field of arbitrary characteristic. Namely, we describe weak polynomial identities of the minimal degree, which is three, and of degrees 4 and 5. We also describe weak polynomial identities is two variables.

This https://arxiv.org/abs/2301.02986 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Forklens: Accurate weak-lensing shear measurement with deep learning
Weak gravitational lensing is one of the most important probes of the nature of dark matter and dark energy. In order to extract cosmological information from next-generation weak lensing surveys (e.g., Euclid, Roman, LSST, and CSST) as much as possible, accurate measurements of weak lensing shear are required. There are existing algorithms to measure the weak lensing shear on imaging data, which have been successfully applied in previous surveys. In the meantime, machine learning (ML) has been…

This https://arxiv.org/abs/2306.15867 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Convergence analysis of a weak Galerkin finite element method on a Shishkin mesh for a singularly perturbed fourth-order problem in 2D
We consider the singularly perturbed fourth-order boundary value problem $\varepsilon ^{2}Δ^{2}u-Δu=f $ on the unit square $Ω\subset \mathbb{R}^2$, with boundary conditions $u = \partial u / \partial n = 0$ on $\partial Ω$, where $\varepsilon \in (0, 1)$ is a small parameter. The problem is solved numerically by means of a weak Galerkin(WG) finite element method, which is highly robust and flexible in the element construction by using discontinuous piecewise polynomials on finite element pa…

Transition from weak turbulence to collapse turbulence regimes in MMT model
Ashleigh Simonis, Yulin Pan
https://arxiv.org/abs/2402.18464 https://

Transition from weak turbulence to collapse turbulence regimes in MMT model
It is well known that wave collapses can emerge from the focusing one-dimensional (1-D) Majda-McLaughlin-Tabak (MMT) model as a result of modulational instability. However, how these wave collapses affect the spectral properties and statistics of the wave field has not been adequately studied. We undertake this task by simulating the forced-dissipated 1-D MMT model over a range of forcing amplitudes. Our results show that when the forcing is weak, the spectrum agrees well with the prediction by…

This https://arxiv.org/abs/2004.12578 has been replaced.
link: https://scholar.google.com/scholar?q=a

Weak compactness criteria in $L_1$ space in terms of Orlicz function
In this paper, we provide a direct proof for the equivalence of K.M. Chong's and De la Vallée Poussin's criteria of weak compactness of a subset $K$ of $L_1(0,1)$ in terms of some Orlicz function. Furthermore, we discuss the equivalence in $L_1(0, \infty)$.

How is Testing Related to Single Statement Bugs?
Habibur Rahman, Saqib Ameen
https://arxiv.org/abs/2403.18226 https://arxiv.org/pdf/2…

How is Testing Related to Single Statement Bugs?
In this study, we analyzed the correlation between unit test coverage and the occurrence of Single Statement Bugs (SSBs) in open-source Java projects. We analyzed data from the top 100 Maven-based projects on GitHub, which includes 7824 SSBs. Our preliminary findings suggest a weak to moderate correlation, indicating that increased test coverage is somewhat reduce the occurrence of SSBs. However, this relationship is not very strong, emphasizing the need for better tests. Our study contributes …

This https://arxiv.org/abs/2311.16568 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIT_…

Active Reconfigurable Intelligent Surface Enhanced Spectrum Sensing for Cognitive Radio Networks
In opportunistic cognitive radio networks, when the primary signal is very weak compared to the background noise, the secondary user requires long sensing time to achieve a reliable spectrum sensing performance, leading to little remaining time for the secondary transmission. To tackle this issue, we propose an active reconfigurable intelligent surface (RIS) assisted spectrum sensing system, where the received signal strength from the interested primary user can be enhanced and underlying inter…

Evaluations of Machine Learning Privacy Defenses are Misleading
Michael Aerni, Jie Zhang, Florian Tram\`er
https://arxiv.org/abs/2404.17399 https://…

Evaluations of Machine Learning Privacy Defenses are Misleading
Empirical defenses for machine learning privacy forgo the provable guarantees of differential privacy in the hope of achieving higher utility while resisting realistic adversaries. We identify severe pitfalls in existing empirical privacy evaluations (based on membership inference attacks) that result in misleading conclusions. In particular, we show that prior evaluations fail to characterize the privacy leakage of the most vulnerable samples, use weak attacks, and avoid comparisons with pract…

On noncommutative H\"older inequality of Sukochev and Zanin for weak Schatten class
Yi C. Huang, Sijie Luo
https://arxiv.org/abs/2403.17990 https://…

On noncommutative Hölder inequality of Sukochev and Zanin for weak Schatten class
Sukochev and Zanin resolved an open problem due to B. Simon concerning optimal constants in Hölder inequality for the weak Schatten classes of compact operators. In this note we observe that these constants, by introducing the modified weak Schatten quasi-norms, can be renormalised so that the original Simon's conjecture (with optimal constant 1) does hold. We also provide an unexpectedly simple proof for the modified Hölder inequality and its sharpness.

How Additional Aerodynamic Drag Helped Make GTA III Work on PS2
https://poliverso.org/display/0477a01e-bfd1b04a-f508d7ece10e9f5c
How Additional Aerodynamic Drag Helped Make GTA III Work on PS2 The PlayStation 2 was a revelation when it hit the marke…

This https://arxiv.org/abs/2403.09325 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Improved Constraints on the Variation of the Weak Scale from Big Bang Nucleosynthesis
We analyze the recent EMPRESS data on the $^4$He abundance in Big Bang nucleosynthesis as a function of the Higgs vacuum expectation value $v$ and compare our calculation to the recently published work of Burns et al.~[1]. The EMPRESS result for the $^4$He abundance can be explained within $2σ$ by $0.03 \leq δv / v \leq 0.07$. However, as first noted in~[1], a Higgs VEV in this range would worsen the discrepancy between theory and experiment for the deuterium abundance significantly.

Protocols for Quantum Weak Coin Flipping
Atul Singh Arora, J\'er\'emie Roland, Chrysoula Vlachou, Stephan Weis
https://arxiv.org/abs/2402.15855 htt…

Protocols for Quantum Weak Coin Flipping
Weak coin flipping is an important cryptographic primitive -- it is the strongest known secure two-party computation primitive that classically becomes secure only under certain assumptions (e.g. computational hardness), while quantumly there exist protocols that achieve arbitrarily close to perfect security. This breakthrough result was established by Mochon in 2007 [arXiv:0711.4114]. However, his proof relied on the existence of certain unitary operators which was established by a non-constru…

Revisiting Stochastic Gravitational-wave Background in the Strong Signal Case
Zheng-Cheng Liang, Zhi-Yuan Li, En-Kun Li, Jian-dong Zhang, Yi-Ming Hu
https://arxiv.org/abs/2403.18709

Revisiting Stochastic Gravitational-wave Background in the Strong Signal Case
Weak-signal limit is often used in estimating stochastic gravitational-wave background (SGWB) intensities. This approximation fails and the signal-to-noise ratio (SNR) can be much weaker when background signals are loud compared to the detector noise. In this work, we highlight this limitation for the SGWB detection using space-borne detector networks. For the TianQin + LISA network, the SNR estimated under the weak-signal limit might be off by as large as an order of magnitude. Contour plots o…

One-loop corrections in Maxwell-metric-affine bumblebee gravity
A. C. Lehum, J. R. Nascimento, A. Yu. Petrov, P. J. Porfirio
https://arxiv.org/abs/2402.17605

One-loop corrections in Maxwell-metric-affine bumblebee gravity
In this paper, we consider the coupling of the metric-affine bumblebee gravity to the Abelian gauge field and obtain the effective model corresponding to the weak gravity limit of this theory. The effective bumblebee theory displays new unconventional couplings between the bumblebee field and its field strength, and the $U(1)$ gauge field along with its respective field strength, as a result of the non-metricity effects. Thus, being a new gauge-bumblebee theory, it represents an example of vect…

Generalizing Better Response Paths and Weakly Acyclic Games
Bora Yongacoglu, G\"urdal Arslan, Lacra Pavel, Serdar Y\"uksel
https://arxiv.org/abs/2403.18086

Generalizing Better Response Paths and Weakly Acyclic Games
Weakly acyclic games generalize potential games and are fundamental to the study of game theoretic control. In this paper, we present a generalization of weakly acyclic games, and we observe its importance in multi-agent learning when agents employ experimental strategy updates in periods where they fail to best respond. While weak acyclicity is defined in terms of path connectivity properties of a game's better response graph, our generalization is defined using a generalized better response g…

Path integral control under McKean-Vlasov dynamics
Timothy Bennett
https://arxiv.org/abs/2404.17006 https://arxiv.org/pdf/2404.17006<…

Path integral control under McKean-Vlasov dynamics
We investigate the complexities of the McKean-Vlasov optimal control problem, exploring its various formulations such as the strong and weak formulations, as well as both Markovian and non-Markovian setups within financial markets. Furthermore, we examine scenarios where the law governing the control process impacts the dynamics of options. By conceptualizing controls as probability measures on a fitting canonical space with filtrations, we unlock the potential to devise classical measurable se…

Benchmarking Image Transformers for Prostate Cancer Detection from Ultrasound Data
Mohamed Harmanani, Paul F. R. Wilson, Fahimeh Fooladgar, Amoon Jamzad, Mahdi Gilany, Minh Nguyen Nhat To, Brian Wodlinger, Purang Abolmaesumi, Parvin Mousavi
https://arxiv.org/abs/2403.18233

Benchmarking Image Transformers for Prostate Cancer Detection from Ultrasound Data
PURPOSE: Deep learning methods for classifying prostate cancer (PCa) in ultrasound images typically employ convolutional networks (CNNs) to detect cancer in small regions of interest (ROI) along a needle trace region. However, this approach suffers from weak labelling, since the ground-truth histopathology labels do not describe the properties of individual ROIs. Recently, multi-scale approaches have sought to mitigate this issue by combining the context awareness of transformers with a CNN fea…

This https://arxiv.org/abs/2311.14385 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepe…

New Evidence for DM-like Anomalies in Neutron Multiplicity Spectra
Subterrestrial neutron spectra show weak but consistent anomalies at multiplicities ~100 and above. The origin of the excess events remains ambiguous, but, in principle, it could be a signature of Dark Matter WIMP annihilation-like interaction with a massive Pb target. However, since the results of the available measurements are below the 5-sigma discovery level, and the observed anomalous structures are on a significant muon-induced background, an independent verification at even greater depth…

This https://arxiv.org/abs/2210.14873 has been replaced.
link: https://scholar.google.com/scholar?q=a

Localization in the random XXZ quantum spin chain
We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$\frac12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a nontrivial region of the parameter space. This region, which includes weak interaction and strong disorder regimes, is independent of the size of the system and depends only on the energy interval. Our approach is based on the reformulation of the localization pro…

Assessing salt precipitation and weak acid interaction in subsurface CO2 injection: Potential 50% strength decline in near-wellbore reservoir sandstones
Mohammad Nooraiepour, Krzysztof Polanski, Mohammad Masoudi, Szymon Kuczynski, Hannelore Derluyn, Liebert Parreiras Nogueira, Bahman Bohloli, Stanislaw Nagy, Helge Hellevang
https://

Assessing salt precipitation and weak acid interaction in subsurface CO2 injection: Potential 50% strength decline in near-wellbore reservoir sandstones
Predictive modeling of CO2 storage sites requires a detailed understanding of physico-chemical processes and potential challenges for scale-up. Dramatic injectivity decline may occur due to salt precipitation pore clogging in high-salinity reservoirs, even over a short time frame. This study aims to elucidate the adverse impact of CO2-induced salt crystallization in porous media on the geomechanical properties of near-wellbore reservoir sandstones. As the impact of salt precipitation cannot be …

Weak convergence of probability measures on hyperspaces with the upper Fell-topology
Dietmar Ferger
https://arxiv.org/abs/2403.18798 https://

Weak convergence of probability measures on hyperspaces with the upper Fell-topology
Let E be a locally compact second countable Hausdorff space and F the pertaining family of all closed sets. We endow F respectively with the Fell-topology, the upper Fell topology or the upper Vietoris-topology and investigate weak convergence of probability measures on the corresponding hyperspaces with a focus on the upper Fell topology. The results can be transferred to distributional convergence of random closed sets in E with applications to the asymptotic behavior of measurable selection.

Learning the Covariance of Treatment Effects Across Many Weak Experiments
Aur\'elien Bibaut, Winston Chou, Simon Ejdemyr, Nathan Kallus
https://arxiv.org/abs/2402.17637

Learning the Covariance of Treatment Effects Across Many Weak Experiments
When primary objectives are insensitive or delayed, experimenters may instead focus on proxy metrics derived from secondary outcomes. For example, technology companies often infer long-term impacts of product interventions from their effects on weighted indices of short-term user engagement signals. We consider meta-analysis of many historical experiments to learn the covariance of treatment effects on different outcomes, which can support the construction of such proxies. Even when experiments…

Partial algebras and implications of (weak) matrix properties
Michael Hoefnagel, Pierre-Alain Jacqmin
https://arxiv.org/abs/2404.14166 https://

Partial algebras and implications of (weak) matrix properties
Matrix properties are a type of property of categories which includes the ones of being Mal'tsev, arithmetical, majority, unital, strongly unital and subtractive. Recently, an algorithm has been developed to determine implications $M\Rightarrow N$ between them. We show here that this algorithm reduces to construct a partial term corresponding to $N$ from a partial term corresponding to $M$. Moreover, we prove that this is further equivalent to the corresponding implication between the weak vers…

Partial representations of connected and smash product Hopf algebras
Tiago Luiz Ferrazza, William Hautekiet, Arthur Alves Neto
https://arxiv.org/abs/2404.17303

Partial representations of connected and smash product Hopf algebras
We show that every partial representation of a connected Hopf algebra is global. Some interesting classes of partial representations of smash product Hopf algebras are studied, and a description of the partial "Hopf" algebra if the first tensorand is connected is given. If $H$ is cocommutative and has finitely many grouplikes, this allows to see $H_{par}$ as the weak Hopf algebra coming from a Hopf category.

Yay, two pictures taken by #Odysseus during descent and after landing! "Flight controllers intend to collect data until the lander’s solar panels are no longer exposed to light," says the update https://7c27f7d6-4a0b-4269-aee9-80e85c3db26a.usrfiles.com/ugd/7c27f7_357496b3ba404948ba24ad63081b5d23.pdf which also includes an LRO image of the lander on the surface: "Based on Earth and Moon positioning, we believe flight controllers will continue to communicate with Odysseus until Tuesday morning." How much else can be downloaded by then is unclear, the link remains very weak.

Linear Programming in Isabelle/HOL
Julian Parsert
https://arxiv.org/abs/2403.19639 https://arxiv.org/pdf/2403.19639

Linear Programming in Isabelle/HOL
Linear programming describes the problem of optimising a linear objective function over a set of constraints on its variables. In this paper we present a solver for linear programs implemented in the proof assistant Isabelle/HOL. This allows formally proving its soundness, termination, and other properties. We base these results on a previous formalisation of the simplex algorithm which does not take optimisation problems into account. Using the weak duality theorem of linear programming we obt…

This https://arxiv.org/abs/2404.08115 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An extension theorem for weak solutions of the 3d incompressible Euler equations and applications to singular flows
We prove an extension theorem for local solutions of the 3d incompressible Euler equations. More precisely, we show that if a smooth vector field satisfies the Euler equations in a spacetime region $Ω\times(0,T)$, one can choose an admissible weak solution on $\mathbf R^3\times (0,T)$ of class $C^β$ for any $β<1/3$ such that both fields coincide on $Ω\times (0,T)$. Moreover, one controls the spatial support of the global solution. Our proof makes use of a new extension theorem for local sub…

Predicting Perceived Gloss: Do Weak Labels Suffice?
Julia Guerrero-Viu, J. Daniel Subias, Ana Serrano, Katherine R. Storrs, Roland W. Fleming, Belen Masia, Diego Gutierrez
https://arxiv.org/abs/2403.17672

Predicting Perceived Gloss: Do Weak Labels Suffice?
Estimating perceptual attributes of materials directly from images is a challenging task due to their complex, not fully-understood interactions with external factors, such as geometry and lighting. Supervised deep learning models have recently been shown to outperform traditional approaches, but rely on large datasets of human-annotated images for accurate perception predictions. Obtaining reliable annotations is a costly endeavor, aggravated by the limited ability of these models to generalis…

Tau Herculids 2022 from the McDonald Observatory, Texas -- a progress report
Norton Oliv\'er Szab\'o (Konkoly Observatory, CSFK Research Centre for Astronomy and Earth Sciences), Antal Igaz (Konkoly Observatory, CSFK Research Centre for Astronomy and Earth Sciences), L\'aszl\'o L. Kiss (Konkoly Observatory, CSFK Research Centre for Astronomy and Earth Sciences, ELTE E\"otv\"os Lor\'and University, Institute of Physics), M\'arton R\'ozsahegyi (Konko…

Tau Herculids 2022 from the McDonald Observatory, Texas -- a progress report
As part of an intensive effort to observe the predicted 2022 Tau Herculids outburst, we recorded almost 800 individual meteor streaks on May 30th and 31st, 2022, using a high-sensitivity Sony~$α$7 camera. The video recordings were obtained under perfect conditions at the McDonald Observatory, Texas, USA. The meteor sample is dominated by the predicted Tau Herculids shower, however, we also noted significant activity of sporadic meteors and other possible weak showers. We found that the time of…

Dynamics of GN-z11 Explored by JWST Integral Field Spectroscopy: Gaseous Rotating Disk at z=10.60 Suggestive of Weak Feedback?
Yi Xu, Masami Ouchi, Hidenobu Yajima, Hajime Fukushima, Yuichi Harikane, Yuki Isobe, Kimihiko Nakajima, Minami Nakane, Yoshiaki Ono, Hiroya Umeda, Hiroto Yanagisawa, Yechi Zhang
https://arxiv.org/abs/240…

Dynamics of GN-z11 Explored by JWST Integral Field Spectroscopy: Gaseous Rotating Disk at z=10.60 Suggestive of Weak Feedback?
We investigate the dynamics of GN-z11, a luminous galaxy at $z=10.60$, carefully analyzing the public deep integral field spectroscopy (IFS) data taken with JWST NIRSpec IFU. While the observations of the IFS data originally targeted a He II clump near GN-z11, we find that C III]$λ\lambda1907,1909$ emission from ionized gas at GN-z11 is bright and spatially extended significantly beyond the point-spread function (PSF) in contrast with the GN-z11's compact UV-continuum morphology. The spatially…

Protocols for Quantum Weak Coin Flipping
Atul Singh Arora, J\'er\'emie Roland, Chrysoula Vlachou, Stephan Weis
https://arxiv.org/abs/2402.15855 htt…

Protocols for Quantum Weak Coin Flipping
Weak coin flipping is an important cryptographic primitive -- it is the strongest known secure two-party computation primitive that classically becomes secure only under certain assumptions (e.g. computational hardness), while quantumly there exist protocols that achieve arbitrarily close to perfect security. This breakthrough result was established by Mochon in 2007 [arXiv:0711.4114]. However, his proof relied on the existence of certain unitary operators which was established by a non-constru…

A stabilizer free weak Galerkin method with implicit $\theta$-schemes for fourth order parabolic problems
Shanshan Gu, Qilong Zhai
https://arXiv.org/abs/2401.14601

A stabilizer free weak Galerkin method with implicit $θ$-schemes for fourth order parabolic problems
In this paper, we combine the stabilizer free weak Galerkin (SFWG) method and the implicit $θ$-schemes in time for $θ\in [\frac{1}{2},1]$ to solve the fourth-order parabolic problem. In particular, when $θ=1$, the full-discrete scheme is first-order backward Euler and the scheme is second-order Crank Nicolson scheme if $θ=\frac{1}{2}$. Next, we analyze the well-posedness of the schemes and deduce the optimal convergence orders of the error in the $H^2$ and $L^2$ norms. Finally, numerical ex…

The Borel Ramsey properties for countable Borel equivalence relations
Su Gao, Ming Xiao
https://arXiv.org/abs/2401.14605 https://arXi…

The Borel Ramsey properties for countable Borel equivalence relations
We define some natural notions of strong and weak Borel Ramsey properties for countable Borel equivalence relations and show that they hold for a countable Borel equivalence relation if and only if the equivalence relation is smooth. We also consider some variation of the notion for hyperfinite non-smooth Borel equivalence relations.

Theoretical Guarantees for the Subspace-Constrained Tyler's Estimator
Gilad Lerman, Feng Yu, Teng Zhang
https://arxiv.org/abs/2403.18658 https://

Theoretical Guarantees for the Subspace-Constrained Tyler's Estimator
This work analyzes the subspace-constrained Tyler's estimator (STE) designed for recovering a low-dimensional subspace within a dataset that may be highly corrupted with outliers. It assumes a weak inlier-outlier model and allows the fraction of inliers to be smaller than a fraction that leads to computational hardness of the robust subspace recovery problem. It shows that in this setting, if the initialization of STE, which is an iterative algorithm, satisfies a certain condition, then STE can…

Fuzzy Classification Aggregation
Federico Fioravanti
https://arxiv.org/abs/2402.17620 https://arxiv.org/pdf/2402.17620

Fuzzy Classification Aggregation
We consider the problem where a set of individuals has to classify $m$ objects into $p$ categories and does so by aggregating the individual classifications. We show that if $m\geq 3$, $m\geq p\geq 2$, and classifications are fuzzy, that is, objects belong to a category to a certain degree, then an independent aggregator rule that satisfies a weak unanimity condition belongs to the family of Weighted Arithmetic Means. We also obtain characterization results for $m= p= 2$.

Ben Hodges: "I think it's Russia actually is the one that's really weak on the inside": https://benborges.xyz/2024/02/18/ben-hodges-i.html

On the weak Harder-Narasimhan stratification on $B_{\mathrm{dR}}^ $-affine Grassmannian
Miaofen Chen, Jilong Tong
https://arxiv.org/abs/2402.15107 https://…

On the weak Harder-Narasimhan stratification on $B_{\mathrm{dR}}^+$-affine Grassmannian
We consider the Harder-Narasimhan formalism on the category of normed isocrystals and show that the Harder-Narasimhan filtration is compatible with tensor products which generalizes a result of Cornut. As an application of this result, we are able to define a (weak) Harder-Narasimhan stratification on the $B_{\mathrm{dR}}^+$-affine Grassmannian for arbitrary $(G, b, μ)$. When $μ$ is minuscule, it corresponds to the Harder-Narasimhan stratification on the flag varieties defined by Dat-Orlik-Ra…

Cosmological constraints from weak lensing scattering transform using HSC Y1 data
Sihao Cheng, Gabriela A. Marques, Daniela Grand\'on, Leander Thiele, Masato Shirasaki, Brice M\'enard, Jia Liu
https://arxiv.org/abs/2404.16085

Cosmological constraints from weak lensing scattering transform using HSC Y1 data
As weak lensing surveys go deeper, there is an increasing need for reliable characterization of non-Gaussian structures at small angular scales. Here we present the first cosmological constraints with weak lensing scattering transform, a statistical estimator that combines efficiency, robustness, and interpretability. With the Hyper Suprime-Cam survey (HSC) year 1 data, we obtain $Ω_\text{m}=0.29_{-0.03}^{+0.04}$, $S_8\equiv σ_8(Ω_\text{m}/0.3)^{0.5}=0.83\pm0.02$, and intrinsic alignment str…

Stau pairs from natural SUSY at high luminosity LHC
Howard Baer, Vernon Barger, Kairui Zhang
https://arxiv.org/abs/2403.18991 https://

Stau pairs from natural SUSY at high luminosity LHC
Natural supersymmetry (SUSY) with light higgsinos is perhaps the most plausible of all weak scale SUSY models while a variety of motivations point to (right) tau sleptons as the lightest of all the sleptons. We examine a SUSY model line with rather light right-staus embedded within natural SUSY. For light stau_1 of a few hundred GeV, then the decays stau_1 -> τ\tchi_{1,2}^0 and ν_τ\tchi_1^- occur at comparable rates where the (higgsino-like) \tchi_1^\pm and \tchi_2^0 release only small visib…

This https://arxiv.org/abs/2309.04846 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Non-commutative Optimal Transport for semi-definite positive matrices
We introduce the von Neumann entropy regularization of Unbalanced Non-commutative Optimal Transport, specifically Non-commutative Optimal Transport between semi-definite positive matrices (not necessarily with trace one). We prove the existence of a minimizer, compute the weak dual formulation and prove $Γ$-convergence results, demonstrating convergence to both Unbalanced Non-commutative Optimal Transport (as the Entropy-regularization parameter tends to zero) and von Neumann entropy regulariz…

This https://arxiv.org/abs/2402.17154 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Existence for the Supercooled Stefan Problem in General Dimensions
We prove the global-time existence of weak solutions to the supercooled Stefan problem. Our result holds in general space dimensions and with a general class of initial data. In addition, our solution is maximal in the sense of a certain stochastic order, among all comparable weak solutions starting from the same initial data. Our approach is based on a free target optimization problem for Brownian stopping times, where the main idea is to introduce a superharmonic cost function in the optimiza…

This https://arxiv.org/abs/2308.01642 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Weak uniqueness by noise for singular stochastic PDEs
We prove weak uniqueness of mild solutions for a general class of SPDEs on a Hilbert space. The main novelty is that the drift is only defined on a Sobolev-type subspace and no Hölder-continuity assumptions are required. This allows us to cover examples such as equations with divergence-form and non-divergence-form drift, and Cahn--Hilliard-type equations with possibly singular perturbations. The main idea is to consider a suitable coloured Wiener noise so that both the solvability of the SPDE…

This https://arxiv.org/abs/2401.06280 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity
In this paper, we present a first-order Stress-Hybrid Virtual Element Method (SH-VEM) on six-noded triangular meshes for linear plane elasticity. We adopt the Hellinger--Reissner variational principle to construct a weak equilibrium condition and a stress based projection operator. On applying the divergence theorem to the weak strain-displacement relations, the stress projection operator is expressed in terms of the nodal displacements, which leads to a displacement-based formulation. This str…

Reflections on the Larson-Sweedler theorem for (weak) multiplier Hopf algebras
Alfons Van Daele
https://arxiv.org/abs/2404.15046 https://

Reflections on the Larson-Sweedler theorem for (weak) multiplier Hopf algebras
Let $A$ be an algebra with identity and $Δ:A\to A\otimes A$ a coproduct that admits a counit. If there exist a faithful left integral and a faithful right integral, one can construct an antipode and $(A,Δ)$ is a Hopf algebra. This is the Larson-Sweedler theorem. There are generalizations of this result for multiplier Hopf algebras, weak Hopf algebras and weak multiplier Hopf algebras. In the case of a multiplier Hopf algebra, the existence of a counit can be weakened and can be replaced by th…

Evaluation of transition rates from nonequilibrium instantons
Eric R. Heller, David T. Limmer
https://arxiv.org/abs/2403.18794 https://

Evaluation of transition rates from nonequilibrium instantons
Equilibrium rate theories play a crucial role in understanding rare, reactive events. However, they are inapplicable to a range of irreversible processes in systems driven far from thermodynamic equilibrium like active and biological matter. Here, we develop a general, computationally efficient nonequilibrium rate theory in the weak-noise limit based on an instanton approximation to the stochastic path integral and illustrate its wide range of application in the study of rare nonequilibrium eve…

Existence for the Supercooled Stefan Problem in General Dimensions
Sunhi Choi, Inwon C. Kim, Young-Heon Kim
https://arxiv.org/abs/2402.17154 https://

Existence for the Supercooled Stefan Problem in General Dimensions
In this paper we prove global-time existence of weak solutions to the supercooled Stefan problem in general space dimensions, starting from a general class of initial domain and data. In addition, our solution is maximal, in the sense that its support is maximal among all comparable weak solutions starting from the same initial data. Our approach is based on a free target optimization problem for Brownian stopping times. While this approach is taken previously in [22], the novel feature of our …

Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses
Jos\'e Manuel Fern\'andez Vilaboa, Ram\'on Gonz\'alez Rodr\'iguez, Brais Ramos P\'erez
https://arxiv.org/abs/2402.16704

Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses
The present article is devoted to study the categorical relationships between the categories of Hopf trusses, weak twisted post-Hopf algebras and weak twisted relative Rota-Baxter operators. The latter objects are a generalisation of relative Rota-Baxter operators where the Rota-Baxter condition is modified through a cocycle. Under certain conditions, this work shows that the three aforementioned categories are equivalent.

Tachyonic instability and spontaneous scalarization in parameterized Schwarzschild-like black holes
Hengyu Xu, Yizhi Zhan, Shao-Jun Zhang
https://arxiv.org/abs/2403.19392

Tachyonic instability and spontaneous scalarization in parameterized Schwarzschild-like black holes
We study the phenomenon of spontaneous scalarization in parameterized Schwarzschild-like black holes. Two metrics are considered, the Konoplya-Zhidenko metric and the Johannsen-Psaltis metric. While these metrics can mimic the Schwarzschild black hole well in the weak-field regime, they have deformed geometries in the near-horizon strong-field region. Such deformations notably influence the emergence of tachyonic instability and subsequent spontaneous scalarization, enabling a clear distinction…

Share the Sugar
Christian Tarsney, Harvey Lederman, Dean Spears
https://arxiv.org/abs/2403.17641 https://arxiv.org/pdf/2403.17641

Share the Sugar
We provide a general argument against value incomparability, based on a new style of impossibility result. In particular, we show that, against plausible background assumptions, value incomparability creates an incompatibility between two very plausible principles for ranking lotteries: a weak ``negative dominance'' principle (to the effect that Lottery 1 can be better than Lottery 2 only if some possible outcome of Lottery 1 is better than some possible outcome of Lottery 2) and a weak form of…

Pressure and speed of sound in two-flavor color-superconducting quark matter at next-to-leading order
Andreas Gei{\ss}el, Tyler Gorda, Jens Braun
https://arxiv.org/abs/2403.18010 …

Pressure and speed of sound in two-flavor color-superconducting quark matter at next-to-leading order
Deconfined quark matter at asymptotically high densities is weakly coupled, due to the asymptotic freedom of Quantum Chromodynamics. In this weak-coupling regime, bulk thermodynamic properties of quark matter, assuming a trivial ground state, are currently known to partial next-to-next-to-next-to-leading order. However, the ground state at high densities is expected to be a color superconductor, in which the excitation spectrum of (at least some) quarks exhibit a gap with a non-perturbative dep…

This https://arxiv.org/abs/2310.10140 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Constraining Ultralight Axions with CSST Weak Gravitational Lensing and Galaxy Clustering Photometric Surveys
Ultralight axion (ULA) can be one of the potential candidates for dark matter. The extremely low mass of the ULA can lead to a de Broglie wavelength the size of galaxies which results in a suppression of the growth of structure on small scales. In this work, we forecast the constraint on the ULA particle mass $m_{\text{a}}$ and relative fraction to dark matter $f_{\text{a}} = Ω_{\text{a}}/Ω_{\text{d}}$ for the forthcoming Stage IV space-based optical survey equipment $\it{CSST}$ (China Space …

Dimensional gain in sensing through higher-dimensional quantum spin chain
Shivansh Singh, Leela Ganesh Chandra Lakkaraju, Srijon Ghosh, Aditi Sen De
https://arXiv.org/abs/2401.14853

Dimensional gain in sensing through higher-dimensional quantum spin chain
Recent breakthroughs in quantum technology pave the way for extensive utilization of higher-dimensional quantum systems, which outperform their qubit counterparts in terms of capabilities and versatility. We present a framework for accurately predicting weak external magnetic fields using a higher-dimensional many-body quantum probe. We demonstrate that dimension serves as a valuable resource for quantum sensing when a transverse spin-s Ising chain interacts locally with a magnetic field whose …

This https://arxiv.org/abs/2401.06280 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Stress-hybrid virtual element method on six-noded triangular meshes for compressible and nearly-incompressible linear elasticity
In this paper, we present a first-order Stress-Hybrid Virtual Element Method (SH-VEM) on six-noded triangular meshes for linear plane elasticity. We adopt the Hellinger--Reissner variational principle to construct a weak equilibrium condition and a stress based projection operator. On applying the divergence theorem to the weak strain-displacement relations, the stress projection operator is expressed in terms of the nodal displacements, which leads to a displacement-based formulation. This str…

Epimorphisms between finitely generated algebras
Luca Carai, Miriam Kurtzhals, Tommaso Moraschini
https://arxiv.org/abs/2402.14745 https://

Epimorphisms between finitely generated algebras
A quasivariety has the weak ES property when the epimorphisms between its finitely generated members are surjective. A characterization of quasivarieties with the weak ES property is obtained and a method for detecting failures of this property in quasivarieties with a near unanimity term and in congruence permutable varieties is given. It is also shown that under reasonable assumptions the weak ES property implies arithmeticity. In particular, every filtral variety with the weak ES property is…

This https://arxiv.org/abs/2107.06238 has been replaced.
link: https://scholar.google.com/scholar?q=a

GENIUS-MAWII: For Robust Mendelian Randomization with Many Weak Invalid Instruments
Mendelian randomization (MR) has become a popular approach to study causal effects by using genetic variants as instrumental variables. We propose a new MR method, GENIUS-MAWII, which simultaneously addresses the two salient phenomena that adversely affect MR analyses: many weak instruments and widespread horizontal pleiotropy. Similar to MR GENIUS (Tchetgen Tchetgen et al., 2021), we achieve identification of the treatment effect by leveraging heteroscedasticity of the exposure. We then derive…

This https://arxiv.org/abs/2309.14108 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A Common Approach to Singular Perturbation and Homogenization II: Semilinear Elliptic Systems
We consider periodic homogenization of boundary value problems for second-order semilinear elliptic systems in 2D of the type $$ \partial_{x_i}\left(a_{ij}^{αβ}(x/\varepsilon)\partial_{x_j}u(x)+b_i^α(x,u(x))\right)=b^α(x,u(x)) \mbox{ for } x \in Ω. $$ For small $\varepsilon>0$ we prove existence of weak solutions $u=u_\varepsilon$ as well as their local uniqueness for $\|u-u_0\|_\infty \approx 0$, where $u_0$ is a given non-degenerate weak solution to the homogenized boundary val…

The interpolant existence problem for weak K4 and difference logic
Agi Kurucz, Frank Wolter, Michael Zakharyaschev
https://arxiv.org/abs/2403.11255 https:/…

The interpolant existence problem for weak K4 and difference logic
As well known, weak K4 and the difference logic DL do not enjoy the Craig inter- polation property. Our concern here is the problem of deciding whether any given implication does have an interpolant in these logics. We show that the nonexistence of an interpolant can always be witnessed by a pair of bisimilar models of polynomial size for DL and of triple-exponential size for weak K4, and so the interpolant existence problems for these logics are decidable in coNP and coN3ExpTime, respectively.…

Reflections on the Larson-Sweedler theorem for (weak) multiplier Hopf algebras
Alfons Van Daele
https://arxiv.org/abs/2404.15046 https://

Reflections on the Larson-Sweedler theorem for (weak) multiplier Hopf algebras
Let $A$ be an algebra with identity and $Δ:A\to A\otimes A$ a coproduct that admits a counit. If there exist a faithful left integral and a faithful right integral, one can construct an antipode and $(A,Δ)$ is a Hopf algebra. This is the Larson-Sweedler theorem. There are generalizations of this result for multiplier Hopf algebras, weak Hopf algebras and weak multiplier Hopf algebras. In the case of a multiplier Hopf algebra, the existence of a counit can be weakened and can be replaced by th…

This https://arxiv.org/abs/2305.13750 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Tuning atom-field interaction via phase shaping
A coherent electromagnetic field can be described by its amplitude, frequency, and phase. All these properties can influence the interaction between the field and an atom. Here we demonstrate the phase shaping of microwaves that are scattered by a superconducting artificial atom coupled to the end of a semi-infinite 1D transmission line. In particular, we input a weak exponentially rising pulse with phase modulation to a transmon qubit. We observe that field-atom interaction can be tuned from n…

Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin-1/2 chains with different boundary conditions
Markus Kraft, Jonas Richter, Fengping Jin, Sourav Nandy, Jacek Herbrych, Kristel Michielsen, Hans De Raedt, Jochen Gemmer, Robin Steinigeweg
https://arxiv.org/abs/2402.18177

Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin-1/2 chains with different boundary conditions
We investigate the Lindblad equation in the context of boundary-driven magnetization transport in spin-$1/2$ chains. Our central question is whether the nonequilibrium steady state of the open system, including its buildup in time, can be described on the basis of the dynamics in the closed system. To this end, we rely on a previous work [Phys. Rev. B 108, L201119 (2023)], where a description in terms of spatio-temporal correlation functions has been suggested in the case of weak driving and sm…

This https://arxiv.org/abs/2310.17141 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Neural style transfer of weak lensing mass maps
We propose a new generative model of projected cosmic mass density maps inferred from weak gravitational lensing observations of distant galaxies (weak lensing mass maps). We construct the model based on a neural style transfer so that it can transform Gaussian weak lensing mass maps into deeply non-Gaussian counterparts as predicted in ray-tracing lensing simulations. We develop an unpaired image-to-image translation method with Cycle-Consistent Generative Adversarial Networks (Cycle GAN), whi…

Share the Sugar
Christian Tarsney, Harvey Lederman, Dean Spears
https://arxiv.org/abs/2403.17641 https://arxiv.org/pdf/2403.17641

Share the Sugar
We provide a general argument against value incomparability, based on a new style of impossibility result. In particular, we show that, against plausible background assumptions, value incomparability creates an incompatibility between two very plausible principles for ranking lotteries: a weak ``negative dominance'' principle (to the effect that Lottery 1 can be better than Lottery 2 only if some possible outcome of Lottery 1 is better than some possible outcome of Lottery 2) and a weak form of…

Weak solutions to Kolmogorov-Fokker-Planck equations: Regularity, existence and uniqueness
Pascal Auscher (LMO), Cyril Imbert (DMA), Lukas Niebel
https://arxiv.org/abs/2403.17464 …

Weak solutions to Kolmogorov-Fokker-Planck equations: Regularity, existence and uniqueness
In this article, we establish embeddings à la Lions and transfer of regularity à la Bouchut for a large scale of kinetic spaces. We use them to identify a notion of weak solutions to Kolmogorov-Fokker-Planck equations with (local or integral) diffusion and rough (measurable) coefficients under minimal requirements. We prove their existence and uniqueness for a large class of source terms, first in full space for the time, position and velocity variables and then for the kinetic Cauchy problem…

This https://arxiv.org/abs/2306.09680 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

System-bath entanglement of noninteracting fermionic impurities: Equilibrium, transient, and steady-state regimes
We investigate the behavior of entanglement between a single fermionic level and a fermionic bath in three distinct thermodynamic regimes. First, in thermal equilibrium, we analyze the dependence of entanglement on the considered statistical ensemble: for the grand canonical state, it is generated only for a sufficiently strong system-bath coupling, whereas it is present for arbitrarily weak couplings for the canonical state with a fixed particle number. The threshold coupling strength, at whic…

This https://arxiv.org/abs/2310.11041 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Weak-field regime of scalar-tensor theories with an instantaneous mode
Higher-order scalar-tensor theories having an instantaneous mode do not develop the Ostrogradsky instability even if a seemingly dangerous mode is present. Such theories satisfy only partially the degeneracy conditions that are usually imposed to remove the dangerous mode completely, and are dubbed as U-DHOST theories. We study weak gravitational fields sourced by nonrelativistic matter distributions in U-DHOST theories. In contrast to the case of totally degenerate theories where nonlinear der…

Weak Reproductive Solutions for a Convection-Diffusion Model Describing a Binary Alloy Solidification Processes
Blanca Climent-Ezquerra, Mario Dur\'an, Elva Ortega-Torres, Marko Rojas-Medar
https://arxiv.org/abs/2402.15221

Weak Reproductive Solutions for a Convection-Diffusion Model Describing a Binary Alloy Solidification Processes
We study the existence of reproductive weak solutions for a system of equations describing a solidification process of a binary alloy confined into a bounded and regular domain in $\mathbb{R}^3$, having mixed boundary conditions.

On the regularity of weak solution for the Oberbeck-Boussinesq equations
Blanca Climent-Ezquerra, Elva Ortega-Torres, Marco Rojas-Medar
https://arxiv.org/abs/2402.15207

On the regularity of weak solution for the Oberbeck-Boussinesq equations
We prove new regularity criteria of the Prodi-Serrin type with weak Lebesgue integrability in both space and time for a viscous active chemical fluid in a bounded domain.

Well-posedness and convergence of entropic approximation of semi-geostrophic equations
Guillaume Carlier, Hugo Malamut
https://arxiv.org/abs/2404.17387 htt…

Well-posedness and convergence of entropic approximation of semi-geostrophic equations
We prove existence and uniqueness of solutions for an entropic version of the semi-geostrophic equations. We also establish convergence to a weak solution of the semi-geostrophic equations as the entropic parameter vanishes. Convergence is also proved for discretizations that can be computed numerically in practice as shown recently in [6].

Morrey-Lorentz estimates for Hodge-type systems
Banhirup Sengupta, Swarnendu Sil
https://arxiv.org/abs/2403.18387 https://arxiv.org/p…

Morrey-Lorentz estimates for Hodge-type systems
We prove up to the boundary regularity estimates in Morrey-Lorentz spaces for weak solutions of the linear system of differential forms with regular anisotropic coefficients \begin{equation*} d^{\ast} \left( A dω\right) + B^{\intercal}d d^{\ast} \left( Bω\right) = λBω+ f \text{ in } Ω, \end{equation*} with either $ ν\wedge ω$ and $ν\wedge d^{\ast} \left( Bω\right)$ or $ν\lrcorner Bω$ and $ν\lrcorner \left( A dω\right)$ prescribed on $\partialΩ.$ We derive these estimates…

On the existence of a second positive solution to mixed local-nonlocal concave-convex critical problems
Stefano Biagi, Eugenio Vecchi
https://arxiv.org/abs/2403.18424

On the existence of a second positive solution to mixed local-nonlocal concave-convex critical problems
We prove the existence of a second positive weak solution for mixed local-nonlocal critical semilinear elliptic problems with a sublinear perturbation in the spirit of [Ambrosetti, Brezis, Cerami, 1994].

Interior pointwise $C^{\alpha}$ regularity for elliptic and parabolic equations with divergence-free drifts
Yuanyuan Lian
https://arxiv.org/abs/2402.18161 …

Interior pointwise $C^α$ regularity for elliptic and parabolic equations with divergence-free drifts
We investigate the interior pointwise $C^α$ regularity for weak solutions of elliptic and parabolic equations with divergence-free drifts. For such equations, the integrability condition on the drift can be relaxed and the interior $C^α$ regularity for some $0<α<1$ has been obtained previously with the aid of Harnack inequality. In this paper, we prove the interior pointwise $C^α$ regularity for any $0<α<1$ provided that the drift is small. We obtain the regularity under three different ty…

Interior pointwise $C^{\alpha}$ regularity for elliptic and parabolic equations with divergence-free drifts
Yuanyuan Lian
https://arxiv.org/abs/2402.18161 …

Interior pointwise $C^α$ regularity for elliptic and parabolic equations with divergence-free drifts
We investigate the interior pointwise $C^α$ regularity for weak solutions of elliptic and parabolic equations with divergence-free drifts. For such equations, the integrability condition on the drift can be relaxed and the interior $C^α$ regularity for some $0<α<1$ has been obtained previously with the aid of Harnack inequality. In this paper, we prove the interior pointwise $C^α$ regularity for any $0<α<1$ provided that the drift is small. We obtain the regularity under three different ty…

A multi-scale multi-lane model for traffic regulation via autonomous vehicles
Paola Goatin (ACUMES, UniCA, LJAD), Benedetto Piccoli
https://arxiv.org/abs/2404.17192

A multi-scale multi-lane model for traffic regulation via autonomous vehicles
We propose a new model for multi-lane traffic with moving bottlenecks, e.g., autonomous vehicles (AV). It consists of a system of balance laws for traffic in each lane, coupled in the source terms for lane changing, and fully coupled to ODEs for the AVs' trajectories.More precisely, each AV solves a controlled equation depending on the traffic density, while the PDE on the corresponding lane has a flux constraint at the AV's location. We prove existence of entropy weak solutions, and we charac…

This https://arxiv.org/abs/2210.04363 has been replaced.
link: https://scholar.google.com/scholar?q=a

The Monge-Ampere system: convex integration in arbitrary dimension and codimension
In this paper, we study flexibility of the weak solutions to the Monge-Ampère system (MA) via convex integration. This system of Pdes is an extension of the Monge-Ampère equation in $d=2$ dimensions, naturally arising from the prescribed curvature problem, and closely related to the classical problem of isometric immersions (II). Our main result achieves density, in the set of subsolutions, of the Hölder regular $\mathcal{C}^{1,α}$ solutions to the weak formulation (VK) of (MA), for all $…

Extension method in Dirichlet spaces with sub-Gaussian estimates and applications to regularity of jump processes on fractals
Fabrice Baudoin, Quanjun Lang, Yannick Sire
https://arxiv.org/abs/2403.18984

Extension method in Dirichlet spaces with sub-Gaussian estimates and applications to regularity of jump processes on fractals
We investigate regularity properties of some non-local equations defined on Dirichlet spaces equipped with sub-gaussian estimates for the heat kernel associated to the generator. We prove that weak solutions for homogeneous equations involving pure powers of the generator are actually Hölder continuous and satisfy an Harnack inequality. Our methods are based on a version of the Caffarelli-Silvestre extension method which is valid in any Dirichlet space and our results complement the existing l…

Geometric criteria for the existence of capillary surfaces in tubes
Giorgio Saracco
https://arxiv.org/abs/2402.17330 https://arxiv.or…

Geometric criteria for the existence of capillary surfaces in tubes
We review some geometric criteria and prove a refined version, that yield existence of capillary surfaces in tubes $Ω\times \mathbb{R}$ in a gravity free environment, in the case of physical interest, that is, for bounded, open, and simply connected $Ω\subset \mathbb{R}^2$. These criteria rely on suitable weak one-sided bounds on the curvature of the boundary of the cross-section $Ω$.