Tootfinder

foldoc: FOLDOC entries (2002)
A network of hyperlinks among entries in the Free On-line Dictionary of Computing (FOLDOC, www.foldoc.org), an online dictionary of acronyms and technical terms for computers. An edge points from i to j if the term j is referred to in the entry for term i. Edge weight denotes number of uses of the same term.
This network has 13356 nodes and 120238 edges.
Tags: Informational, Web graph, Weighted

The race is on to succeed Gavin Newsom,
the California governor with presidential ambitions
whose terms runs out next year
– and it’s already a crowded field.
More than 95 candidates have so far submitted paperwork
indicating their intention to run,
though the official filing period doesn’t start until 9 February.
The field looks wide open,
with polling yet to indicate a clear frontrunner
and nearly half of voters describing their prefere…

holy cow Affinity just changed their app's ToS for _software I already own and agreed to terms for_. Gross.

Anybody happen to know the effective thermal power of a standard gasoline pump?
Like, X gallons per minute * Y joules per gallon of gas = Z kW of potential energy delivered to the vehicle
(this would then have to be scaled by motor efficiency to be a realistic comparison to EVs/EV chargers in terms of, e.g. miles of range delivered per minute of fueling/charging)

Wasn't there a website that collects and explains the small print/terms and conditions of popular online services?
I have a faint memory of such a project.

I think the best summary until now about Post-quantum cryptography is from Peter Gutmann in the cryptography mailing-list.

Given that after 20 years and hundreds of millions of dollars spent researchers have yet to demonstrate a single legitimate cryptanalysis result using a quantum physics experiment, it's a bit like arguing over which brand of unicorn repellent is the most cromulent.

The current state of things in terms of pure vs. hybrid systems seems to be:

- …

Progressively Sampled Equality-Constrained Optimization
Frank E. Curtis, Lingjun Guo, Daniel P. Robinson
https://arxiv.org/abs/2510.00417 https://arxiv.org…

Progressively Sampled Equality-Constrained Optimization
An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the constraints are defined by an expectation or an average over a large (finite) number of terms. The main idea of the algorithm is to solve a sequence of equality-constrained problems, each involving a finite sample of constraint-function terms, over which the sample set grows progressively. Under assumptions about the constraint functions and their first- and secon…

Exploring one-dimensional, binary, radius-2 cellular automata, over cyclic configurations, in terms of their ability to solve decision problems by distributed consensus
Eurico Ruivo, Pedro Paulo Balbi, K\'evin Perrot, Marco Montalva-Medel, Eric Goles
https://arxiv.org/abs/2510.01040

Exploring one-dimensional, binary, radius-2 cellular automata, over cyclic configurations, in terms of their ability to solve decision problems by distributed consensus
Probing the ability of automata networks to solve decision problems has received a continuous attention in the literature, and specially with the automata reaching the answer by distributed consensus, i.e., their all taking on a same state, out of two. In the case of binary automata networks, regardless of the kind of update employed, the networks should display only two possible attractors, the fixed points $0^L$ and $1^L$, for all cyclic configurations of size $L$. A previous investigation in…

On Korn inequalities with lower order trace terms
Franz Gmeineder, Endre S\"uli, Tabea Tscherpel
https://arxiv.org/abs/2509.26526 https://arxiv.org/pd…

On Korn inequalities with lower order trace terms
We give an elementary estimate that entails and generalises numerous Korn inequalities scattered in the literature. As special instances, we obtain general Korn-type inequalities involving normal or tangential trace components, or lower dimensional trace integrals.

Just finished "Juliet Takes a Breath" by Gabby Rivera. A truly amazing novel about queer Latina feminist self-discovery which shows off a vibrant range of feminisms and their contradictions. Reminded me of "Does my Body Offend You?" in terms of how it uses fictional but realistic situations to really grapple deeply with feminist and queer theory while making everything very accessible and direct.
The plotting, pacing, and characters are great, and Juliet serves as a vibrant and active main character rather than just a lens through which to explore theory.
#AmReading #ReadingNow

A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms
Giuseppe Orlando (CMAP), Ward Haegeman (CMAP), Marica Pelanti (ENSTA Paris), Marc Massot (CMAP)
https://arxiv.org/abs/2509.26284

A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms
We present a robust computational framework for the numerical solution of a hyperbolic 6-equation single-velocity two-phase model. The model's main interest is that, when combined with instantaneous mechanical relaxation, it recovers the solution of the 5-equation model of Kapila. Several numerical methods based on this strategy have been developed over the years. However, neither the 5- nor 6-equation model admits a complete set of jump conditions because they involve non-conservative products…

"""
Traditional politics of assistance and the repression of unemployment were now called into question. The need for reform became urgent.
Poverty was gradually separated from the old moral confusions. Economic crises had shown that unemployment could not be confused with indolence, as indigence and enforced idleness spread throughout the countryside, to precisely the places that had previously been considered home to the purest and most immediate forms of moral life. This demonstrated that poverty did not solely fall under the order of the fault: ‘Begging is the fruit of poverty, which in turn is the consequence of accidents in the production of the earth or in the output of factories, of a rise in the price of basic foodstuffs, or of growth of the population, etc.’ Indigence became a matter of economics.
But it was not contingent, nor was it destined to be suppressed forever. There would always be a certain quantity of poverty that could never be effaced, a sort of fatal indigence that would accompany all forms of society until the end of time, even in places where all the idle were employed: ‘The only paupers in a well governed state must be those born in indigence, or those who fall into it by accident.’ This backdrop of poverty was somehow inalienable: whether by birth or accident, it formed an inevitable part of society. The state of lack was so firmly entrenched in the destiny of man and the structure of society that for a long time the idea of a state without paupers remained inconceivable: in the thought of philosophers, property, work and indigence were terms linked right up until the nineteenth century.
This portion of poverty was necessary because it could not be suppressed; but it was equally necessary in that it made wealth possible. Because they worked but consumed little, a class of people in need allowed a nation to become rich, to release the value of its fields, colonies and mines, making products that could be sold throughout the world. An impoverished people, in short, was a people that had no poor. Indigence became an indispensable element in the state. It hid the secret but most real life of society. The poor were the seat and the glory of nations. And their noble misery, for which there was no cure, was to be exalted:
«My intention is solely to invite the authorities to turn part of their vigilant attention to considering the portion of the People who suffer … the assistance that we owe them is linked to the honour and prosperity of the Empire, of which the Poor are the firmest bulwark, for no sovereign can maintain and extend his domain without favouring the population, and cultivating the Land, Commerce and the Arts; and the Poor are the necessary agents for the great powers that reveal the true force of a People.»
What we see here is a moral rehabilitation of the figure of the Pauper, bringing about the fundamental economic and social reintegration of his person. Paupers had no place in a mercantilist economy, as they were neither producers nor consumers, and they were idle, vagabond or unemployed, deserving nothing better than confinement, a measure that extracted and exiled them from society. But with the arrival of the industrial economy and its thirst for manpower, paupers were once again a part of the body of the nation.
"""
(Michel Foucault, History of Madness)

Anthropic now requires users to accept new privacy terms by October 8, including choosing whether new chats and coding sessions can be used to train AI models (Reece Rogers/Wired)
https://www.wired.com/story/anthropic-using-claude-chats-for-training-how-…

Anthropic Will Use Claude Chats for Training Data. Here’s How to Opt Out
Anthropic is starting to train its models on new Claude chats. If you’re using the bot and don’t want your chats used as training data, here’s how to opt out.

Notions of Cauchy completeness for normed categories
Dirk Hofmann, Walter Tholen
https://arxiv.org/abs/2510.00912 https://arxiv.org/pdf/2510.00912

Notions of Cauchy completeness for normed categories
As already mentioned by Lawvere in his 1973 paper, the characterisation of Cauchy completeness of metric spaces in terms of representability of adjoint distributors amounts to the idempotent-split property of an ordinary category when the governing symmetric monoidal-closed category is changed from the extended real half-line to the category of sets. In this paper, for any commutative quantale \(\mathcal{V}\), we extend these two characterisations of Lawvere-style completeness to \(\mathcal{V}\…

On the finiteness of logarithmic Hamiltonians for Volterra-type lattices in terms of the spectral measures of Jacobi operators
Andrey Osipov
https://arxiv.org/abs/2509.26250 htt…

On the finiteness of logarithmic Hamiltonians for Volterra-type lattices in terms of the spectral measures of Jacobi operators
We establish a correspondence between the semi-infinite and infinite Volterra lattices having a finite logarithmic Hamiltonian and certain classes of even probability measures. In doing so, we apply the inverse spectral theory of Jacobi operators and the theory of orthogonal polynomials. A similar correspondence is established for semi-infinite modified Volterra lattices.

Attention as a Compass: Efficient Exploration for Process-Supervised RL in Reasoning Models
Runze Liu, Jiakang Wang, Yuling Shi, Zhihui Xie, Chenxin An, Kaiyan Zhang, Jian Zhao, Xiaodong Gu, Lei Lin, Wenping Hu, Xiu Li, Fuzheng Zhang, Guorui Zhou, Kun Gai
https://arxiv.org/abs/2509.26628

Attention as a Compass: Efficient Exploration for Process-Supervised RL in Reasoning Models
Reinforcement Learning (RL) has shown remarkable success in enhancing the reasoning capabilities of Large Language Models (LLMs). Process-Supervised RL (PSRL) has emerged as a more effective paradigm compared to outcome-based RL. However, existing PSRL approaches suffer from limited exploration efficiency, both in terms of branching positions and sampling. In this paper, we introduce a novel PSRL framework (AttnRL), which enables efficient exploration for reasoning models. Motivated by prelimin…

Topology of the Aharonov-Bohm effect in different reference frames
Hiram S. M. Rodrigues, Katson W. O. Ar\'evola, Pablo L. Saldanha
https://arxiv.org/abs/2509.26533 https://…

Topology of the Aharonov-Bohm effect in different reference frames
Recent works showed that the Aharonov-Bohm (AB) phase difference for a quantum charged particle can be written in terms of electric and magnetic fluxes in a spacetime surface whose boundaries are the possible particle worldlines in the interferometer, relative to the possible paths. After presenting this result in a more detailed way, reinforcing its topological nature, we study the magnetic and electric versions of the AB effect in different inertial reference frames. We find a particular refe…

Lions agree to terms with DE Aidan Hutchinson on four-year extension https://www.nfl.com/news/lions-aidan-hutchinson-four-year-extension

I keep thinking about Vision's speech in Avengers: Civil War in terms of world politics and posturing.
https://www.youtube.com/watch?v=09kfdMsUbKw

On three classes of logarithmic integrals
Necdet Bat{\i}r, Nandan Sai Dasireddy
https://arxiv.org/abs/2510.00870 https://arxiv.org/pdf/2510.00870

On three classes of logarithmic integrals
In this paper, we evaluate the following families of definite integrals in closed form and we show that they are expressible only in terms of the dilogarithm function and the inverse tangent integral, and elementary functions. \begin{equation*} \int_{0}^{1}\frac{\log\big(x^m+1\big)}{x+1}\thinspace{\rm d}x \quad \mbox{and}\quad \int_{0}^{1}\frac{\log\big(x^m+1\big)}{x^2+1}\thinspace{\rm d}x, \end{equation*} where $m$ is a positive odd integer. When $m$ is a positive even integer, these integrals…

"Look Out for These 8 Big Ag Greenwashing Terms at COP30"
#COP30 #ClimateSummit #Greenwashing

Look Out for These 8 Big Ag Greenwashing Terms at This Year’s Climate Summit
Food and farming companies at COP30 in Brazil will claim agriculture is the solution to climate change — even though food systems drive a third of global warming.

Explicit construction of infinite families of strongly regular digraphs with parameters $((v (2^{n 1}-4)t)2^{n-1}, k (2^n-2)t, t, \lambda, t)$
Viktor A. Byzov, Igor A. Pushkarev
https://arxiv.org/abs/2509.25425

Explicit construction of infinite families of strongly regular digraphs with parameters $((v+(2^{n+1}-4)t)2^{n-1}, k+(2^n-2)t, t, λ, t)$
An explicit construction of infinite sequences of strongly regular digraphs with parameter sets $((v+(2^{n+1}-4)t)2^{n-1}, k+(2^n-2)t, t, λ, t)$ is described. A computer program was used to find the initial digraphs. The remaining terms of the sequence are obtained by the constructed recurrence. Using the described approach, 11 families of strongly regular digraphs were found. In particular, these families contain digraphs $\text{dsrg}(72, 18, 5, 3, 5)$, $\text{dsrg}(76, 19, 5, 4, 5)$, $\text{…

Atypical Hodge Loci
Phillip Griffiths
https://arxiv.org/abs/2510.01155 https://arxiv.org/pdf/2510.01155

Atypical Hodge Loci
In the recent works of a number of people there has emerged a beautiful new perspective on the arithmetic properties of Hodge structures. A central result in that development appears in a paper by Baldi, Klingler, and Ullmo. In this expository work we will explain that result and give a proof. The main conceptual step is to formulate Noether-Lefschetz loci in terms of intersections of period images with Mumford-Tate subdomains of period domains. The main technical step is to use the alignment o…

Analysis of the carbon footprint of HPC
Abdessalam Benhari (DATAMOVE), Yves Denneulin (DATAMOVE), Fr\'ed\'eric Desprez (DATAMOVE), Fanny Dufoss\'e (DATAMOVE), Denis Trystram (DATAMOVE)
https://arxiv.org/abs/2509.22679

Analysis of the carbon footprint of HPC
The demand in computing power has never stopped growing over the years. Today, the performance of the most powerful systems exceeds the exascale. Unfortunately, this growth also comes with ever-increasing energy costs, leading to a high carbon footprint. This paper investigates the evolution of high performance systems in terms of carbon emissions. A lot of studies focus on Top500 (and Green500) as the tip of an iceberg to identify trends in the domain in terms of computing performance. We prop…

YouTube TV drops Univision and other TelevisaUnivision networks after contract talks failed; Google is also in renewal negotiations with NBCU (Todd Spangler/Variety)
https://variety.com/2025/tv/news/univision-goes-dark-on-youtube-tv-b…

Univision Goes Dark on YouTube TV
Google's YouTube TV has dropped Univision's local TV stations along with other TelevisaUnivision networks after the two sides failed to come to terms on a contract renewal Tuesday.

On minimal product-one sequences of maximal length over the non-abelian group of order $pq$
Danilo Vilela Avelar, Fabio Enrique Brochero Mart\'inez, S\'avio Ribas
https://arxiv.org/abs/2510.00070

On minimal product-one sequences of maximal length over the non-abelian group of order $pq$
Let $G$ be a finite group. A sequence over $G$ is a finite multiset of elements of $G$, and it is called product-one if its terms can be ordered so that their product is the identity of $G$. The large Davenport constant $\D(G)$ is the maximal length of a minimal product-one sequence, that is, a product-one sequence that cannot be partitioned into two nontrivial product-one subsequences. Let $p,q$ be odd prime numbers with $p \mid q-1$ and let $C_q \rtimes C_p$ denote the non-abelian group of or…

The Hadamard parametrix on half-Minkowski with Robin boundary conditions: Fundamental solutions and Hadamard states
B. Costeri, C. Dappiaggi, B. A. Ju\'arez-Aubry, R. D. Singh
https://arxiv.org/abs/2509.26035

The Hadamard parametrix on half-Minkowski with Robin boundary conditions: Fundamental solutions and Hadamard states
We address the problem of constructing fundamental solutions and Hadamard states for a Klein-Gordon field in half-Minkowski spacetime with Robin boundary conditions in $d \geq 2$ spacetime dimensions. First, using a generalisation of the Robin-to-Dirichlet map exploited by Bondurant and Fulling [J. Phys. A: Math. Theor. {\bf 38} 7 (2005)] in dimension $2$, we obtain a representation for the advanced and retarded Green operators in terms of a convolution with the kernel of the inverse Robin-to-D…

Structured Sparse Transition Matrices to Enable State Tracking in State-Space Models
Aleksandar Terzi\'c, Nicolas Menet, Michael Hersche, Thomas Hofmann, Abbas Rahimi
https://arxiv.org/abs/2509.22284

Structured Sparse Transition Matrices to Enable State Tracking in State-Space Models
Modern state-space models (SSMs) often utilize transition matrices which enable efficient computation but pose restrictions on the model's expressivity, as measured in terms of the ability to emulate finite-state automata (FSA). While unstructured transition matrices are optimal in terms of expressivity, they come at a prohibitively high compute and memory cost even for moderate state sizes. We propose a structured sparse parametrization of transition matrices in SSMs that enables FSA state tra…

Joint Communications, Sensing, and Positioning in 6G Multi-Functional Satellite Systems: Survey and Open Challenges
Chandan Kumar Sheemar, Jorge Querol, Wali Ullah Khan, Prabhu Thiruvasagam, Sourabh Solanki, Idir Edjekouane, Alejandro Gonzalez-Garrido, Mohammed Al-Ansi, Carla E. Garcia, Symeon Chatzinotas
https://arxiv.org/abs/2509.25937…

Joint Communications, Sensing, and Positioning in 6G Multi-Functional Satellite Systems: Survey and Open Challenges
Satellite systems are expected to be a cornerstone of sixth-generation (6G) networks, providing ubiquitous coverage and supporting a wide range of services across communications, sensing, and positioning, navigation, and timing (PNT). Meeting these demands with current function-specific payload architectures is challenging in terms of cost, spectral use, and sustainability. This survey introduces the framework of multi-functional satellite systems (MFSS), which integrate two or more of these co…

Extension of a problem of Euler in $\mathbb{H}^2$ and in $\mathbb{S}^2$
Muhittin Evren Aydin, Antonio Bueno, Rafael L\'opez
https://arxiv.org/abs/2510.00544 https://

Extension of a problem of Euler in $\mathbb{H}^2$ and in $\mathbb{S}^2$
In this paper, we extend the notion of stationary curves with respect to the moment of inertia from a point $N$ in the Euclidean plane $\mathbb{R}^2$ to the case that the ambient space is either the hyperbolic plane $\mathbb{H}^2$ or the sphere $\mathbb{S}^2$. We characterize the critical points of this energy in terms of the curvature of the curve and the distance to $N$. In $\mathbb{H}^2$, we prove that the only closed stationary curves are circles centered at $N$. In $\mathbb{S}^2$, we estim…

Design Principles for Topological Thermoelectrics
Brian Skinner, Poulomi Chakraborty, Joshua Scales, Joseph P. Heremans
https://arxiv.org/abs/2509.25371 https://

Design Principles for Topological Thermoelectrics
Conventional metals, insulators, and semimetals are constrained by fundamental limitations in terms of their thermoelectric performance. Topological materials offer certain features that allow them to circumvent these constraints, and potentially to form the basis for thermoelectric devices with unprecedented efficiency. In this article we review the thermoelectric performance of topological materials, focusing specifically on nodal semimetals, such as Weyl and nodal-line semimetals. We discuss…

Advancing three dimensional modeling of adsorption physics in porous media for gas separation towards a new design of fixed bed adsorbers
Mohamad Najib Nadamani, Mostafa Safdari Shadloo, Talib Dbouk
https://arxiv.org/abs/2509.25062

Advancing three dimensional modeling of adsorption physics in porous media for gas separation towards a new design of fixed bed adsorbers
A new three-dimensional (3D) multiphase computational fluid dynamics (CFD) model for adsorption physics in porous media is developed and validated. The model is constituted at a macroscopic scale that integrates new volumetric source terms in the multi-species gas transport and energy conservation equations. These new terms, for the first time, take into account the impact of pores adsorption occupation rate (PAOR), or gas loading. Transient 3D simulations are performed at an atmospheric pressu…

The type I dichotomy for two-step nilpotent locally compact groups
Pierre-Emmanuel Caprace, Max Carter
https://arxiv.org/abs/2509.26212 https://arxiv.org/p…

The type I dichotomy for two-step nilpotent locally compact groups
We address the type I dichotomy for two-step nilpotent locally compact groups. Invoking work of Baggett-Kleppner, we characterize the closed points of the unitary dual of such a group $G$ purely in terms of the group structure. An algebraic criterion characterizing when $G$ is a type I group is derived. We show that this criterion automatically holds if $G$ is a central extension of vector groups over a non-discrete locally compact field $k$ such that the commutator map is $k$-bilinear. As an a…

and it was going so well too: spent yesterday enjoying a not-gmail #Evolution access to my workspace, but now, as of this morning, with no changes other than sleep, Evolution is locked out:
“Failed to authenticate: Cannot create an item in a locked collection”.
ok #Debian13 #gnome wtf is a "locked collection" and by who's authority was it created with a lock on my own machine?
More to the point: will my Evolution email always be this fragile? ie is it pointless to even try?
More to the gripe: do software developers EVER post messages using terms that are actually DEFINED somewhere?

DHS released over the weekend its plans to deal with a government shutdown should that happen. CISA estimates 889 employees out of 2,540 total employees as the total number expected and estimated to be retained during a lapse in appropriations.
https://www.…

A highly accurate drag solver for multi-fluid dust and gas hydrodynamics on GPUs
L. Sewanou, G. Laibe, B. Commer\c{c}on
https://arxiv.org/abs/2509.25347 https://

A highly accurate drag solver for multi-fluid dust and gas hydrodynamics on GPUs
Exascale supercomputing unleashes the potential for simulations of astrophysical systems with unprecedented resolution. Taking full advantage of this computing power requires the development of new algorithms and numerical methods that are GPU friendly and scalable. In the context of multi-fluid dust-gas dynamics, we propose a highly accurate algorithm that is specifically designed for GPUs. We developed a multi-fluid gas-dust algorithm capable of computing friction terms on GPU architectures t…

On irreducible central limit theorems
Francesco Caravenna, Francesca Cottini, Giovanni Peccati
https://arxiv.org/abs/2510.00748 https://arxiv.org/pdf/2510.…

On irreducible central limit theorems
We consider sequences of homogeneous sums based on independent random variables and satisfying a central limit theorem (CLT). We address the following question: "In which cases is it not possible to reduce such an asymptotic result to the classical Lindeberg-Feller CLT through a restriction of the summation domain?". We provide several sufficient conditions for such irreducibility, expressed both in terms of (hyper)graphs Laplace eigenvalues, and of a certain notion of combinatorial dimension. …

Higher-order exceptional points unveiled by nilpotence and mathematical induction
Kenta Takata, Adam Mock, Masaya Notomi, Akihiko Shinya
https://arxiv.org/abs/2510.00623 https:/…

Higher-order exceptional points unveiled by nilpotence and mathematical induction
Non-Hermitian systems can have peculiar degeneracies of eigenstates called exceptional points (EPs). An EP of $n$ degenerate states is said to have order $n$, and higher-order EPs (HEPs) with $n \ge 3$ exhibit rich intrinsic features potential for applications. However, traditional eigenvalue-based searches for HEPs are facing fundamental limitations in terms of complexity and implementation. Here, we propose a design paradigm for HEPs based on a simple property for matrices termed nilpotence a…

Left K-Cauchy regular maps between quasi-metric spaces
Om Dev Singh, Anubha Jindal
https://arxiv.org/abs/2509.24619 https://arxiv.org/pdf/2509.24619…

Left K-Cauchy regular maps between quasi-metric spaces
This article presents a systematic study of a class of maps between quasi-metric spaces that preserve left K-Cauchy sequences. We call such maps left K-Cauchy regular maps. Several characterizations of these maps have been given in terms of the structural properties of the underlying quasi-metric spaces. In particular, we characterize left K-Cauchy regular maps in terms of hereditarily precompact sets by using a suitable version of the classical Efremovic Lemma in the setting of quasi-metric sp…

Validation of ERMES 20.0 finite element code for MAST Upgrade O-X mode conversion
Ruben Otin, Ying Hao Matthew Liang, Thomas Wilson, Simon Freethy, Valerian Hall-Chen
https://arxiv.org/abs/2509.26357

Validation of ERMES 20.0 finite element code for MAST Upgrade O-X mode conversion
This study presents the validation of the frequency-domain finite element code ERMES 20.0, benchmarked against Finite Difference Time Domain (FDTD) solvers. The simulations focus on Ordinary-Extraordinary (O-X) mode conversion in the Electron Bernstein Wave (EBW) regime of the MAST Upgrade experiment. Validation is performed in terms of mode conversion efficiency and wave propagation characteristics. Several finite element formulations are tested and compared with the FDTD results. The simulati…

Brian Armstrong deliberately used certain words during Coinbase's Q3 call to sway $84,000 in bets on Kalshi and Polymarket over which terms would be mentioned (Bloomberg)
https://www.bloomberg.com/news/articles/2025-10-31/…

Equivariance by Local Canonicalization: A Matter of Representation
Gerrit Gerhartz, Peter Lippmann, Fred A. Hamprecht
https://arxiv.org/abs/2509.26499 https://

Equivariance by Local Canonicalization: A Matter of Representation
Equivariant neural networks offer strong inductive biases for learning from molecular and geometric data but often rely on specialized, computationally expensive tensor operations. We present a framework to transfers existing tensor field networks into the more efficient local canonicalization paradigm, preserving equivariance while significantly improving the runtime. Within this framework, we systematically compare different equivariant representations in terms of theoretical complexity, empi…

Metric Poincar\'e inequalities for graphs
Dylan J. Altschuler, Pandelis Dodos, Konstantin Tikhomirov, Konstantinos Tyros
https://arxiv.org/abs/2509.25489 https://

Metric Poincaré inequalities for graphs
This article considers embeddings of bounded degree graphs into general metric spaces. Our first main result is a metric analogue of Matoušek's extrapolation that relates the Poincaré constants $γ(G,\varrho^p)$ and $γ(G,\varrho^q)$ for any pair of exponents $0 < p,q < \infty$, any bounded degree expander graph $G$, and any metric space $\mathcal{M}=(M,\varrho)$. Our second main result provides a sharp estimate of the Poincaré constant $γ(G,\varrho)$ in terms of the cardinalities of the ve…

Chiral Pt(Me-BPCH): Synthesis and theoretical investigation of parity violation sensitivity
Eduardus, J. Wietze J. van Boven, Charles Silva, Philip Karageorghis, D. Scott Bohle, Beno\^it Darqui\'e, Anastasia Borschevsky, Luk\'a\v{s} F. Pa\v{s}teka
https://arxiv.org/abs/2509.26407

Chiral Pt(Me-BPCH): Synthesis and theoretical investigation of parity violation sensitivity
A complex of platinum and the tetra-coordinate chelating ligand, R,R'-6,6'-dimethyl-N,N'-bis(2'-pyridine-carboxamide)-1-cyclohexane (Me-BPCH) is investigated as a potential candidate for measurement of parity violation (PV) in chiral molecules. The synthesis of Pt(Me-BPCH) is presented alongside computational investigation of PV sensitivity in its vibrational spectrum. Pt(Me-BPCH) is compared to other two derivatives of this complex, Au(Me-BPCH) and Pt(CF$_3$-BPCH) in terms of their PV response…

To my way of thinking it is better to starve a mad dog than to feed it.
If this shutdown slows down the destruction being caused by the maga-klan then the hurt we will feel from the shutdown will be more than repaid by the retardation of our rapid descent into fascism, inflation, and international irrelevance.

Shutdown nears as congressional leaders meet with Trump
Democratic congressional leaders have left a White House meeting without a deal with President Donald Trump and Republicans to avoid a government shutdown. Trump is making it clear he has no intention to negotiate on Democrats’ current terms. Democrats are insisting on action to extend health care benefits, but Republicans are refusing to compromise. If government funding legislation is not passed by Congress and signed by Trump on Tuesday night, many government offices will be temporarily sh…

The Theory of Topo-Symmetric Extensions of Topological Groups
Es-said En-naoui
https://arxiv.org/abs/2510.00018 https://arxiv.org/pdf/2510.00018

The Theory of Topo-Symmetric Extensions of Topological Groups
We introduce the notion of \emph{topo-symmetric extensions} of topological groups, a new generalization of classical group extensions that incorporates both topological and symmetry constraints. We define morphisms between such extensions, construct the associated groupoid, and develop classification results in terms of adapted cohomology. Several new invariants are introduced, including dimension, stabilizer, and density invariants, which characterize the fine structure of these extensions. Ap…

Security Friction Quotient for Zero Trust Identity Policy with Empirical Validation
Michel Youssef
https://arxiv.org/abs/2509.22663 https://arxiv.org/pdf/2…

Security Friction Quotient for Zero Trust Identity Policy with Empirical Validation
We define a practical method to quantify the trade-off between security and operational friction in modern identity-centric programs. We introduce the Security Friction Quotient (SFQ), a bounded composite index that combines a residual-risk estimator with empirically grounded friction terms (latency, failure rate, and helpdesk impact). We establish clarity properties (boundedness, monotonic response, and weight identifiability) with short proofs, then evaluate widely used Conditional Access pol…

What a story...
#amazon

United We Stand: Towards End-to-End Log-based Fault Diagnosis via Interactive Multi-Task Learning
Minghua He, Chiming Duan, Pei Xiao, Tong Jia, Siyu Yu, Lingzhe Zhang, Weijie Hong, Jin Han, Yifan Wu, Ying Li, Gang Huang
https://arxiv.org/abs/2509.24364

United We Stand: Towards End-to-End Log-based Fault Diagnosis via Interactive Multi-Task Learning
Log-based fault diagnosis is essential for maintaining software system availability. However, existing fault diagnosis methods are built using a task-independent manner, which fails to bridge the gap between anomaly detection and root cause localization in terms of data form and diagnostic objectives, resulting in three major issues: 1) Diagnostic bias accumulates in the system; 2) System deployment relies on expensive monitoring data; 3) The collaborative relationship between diagnostic tasks …

Computable measures of non-Markovianity for Gaussian free fermion systems
Giuliano Chiriac\`o
https://arxiv.org/abs/2509.25953 https://arxiv.org/pdf/2509.2…

Computable measures of non-Markovianity for Gaussian free fermion systems
We investigate measures of non-Markovianity in open quantum systems governed by Gaussian free fermionic dynamics. Standard indicators of non-Markovian behavior, such as the BLP and LFS measures, are revisited in this context. We show that for Gaussian states, trace-based distances -- specifically the Hilbert-Schmidt norm -- and second-order Rényi mutual information can be efficiently expressed in terms of two-point correlation functions, enabling practical computation even in systems where the…

Parametric modeling of shear wave velocity profiles for the conterminous U.S
Morgan D. Sanger, Brett W. Maurer
https://arxiv.org/abs/2510.00372 https://arx…

Parametric modeling of shear wave velocity profiles for the conterminous U.S
Earthquake ground motions and the related damage can be significantly impacted by near-surface soils. Accurate predictions of seismic hazard require depth-continuous models of soil stiffness, commonly described in terms of shear-wave velocity (VS). For regional-scale studies, efforts to predict VS remotely, such as the U.S. Geological Survey's National Crustal Model, tend to emphasize deeper lithologic velocity structures, thus simplifying important near-surface soil velocity variations, and te…

Fairness for niche users and providers: algorithmic choice and profile portability
Elizabeth McKinnie, Anas Buhayh, Clement Canel, Robin Burke
https://arxiv.org/abs/2509.22660 h…

Fairness for niche users and providers: algorithmic choice and profile portability
Ensuring fair outcomes for multiple stakeholders in recommender systems has been studied mostly in terms of algorithmic interventions: building new models with better fairness properties, or using reranking to improve outcomes from an existing algorithm. What has rarely been studied is structural changes in the recommendation ecosystem itself. Our work explores the fairness impact of algorithmic pluralism, the idea that the recommendation algorithm is decoupled from the platform through which u…

Dynamical Covariant Quantum Spacetime with Fuzzy Extra Dimensions in the IKKT model
Alessandro Manta, Harold C. Steinacker
https://arxiv.org/abs/2509.24753 https://

Dynamical Covariant Quantum Spacetime with Fuzzy Extra Dimensions in the IKKT model
We consider general $k=-1$ FLRW covariant quantum spacetimes $\mathcal{M}^{3,1} \times \mathcal{K}$ with fuzzy extra dimensions $\mathcal{K}$ as classical solutions of the IKKT matrix model. The coupled equations of motion are recast in terms of conservation laws, which allow to determine the evolution of spacetime in a transparent way. We show that $\mathcal{K}$ is stabilized as a classical solution in the presence of a large $R$ charge, corresponding to internal angular momentum. This provide…

A half-shift reflection identity for the digamma function
Nikita Kalinin
https://arxiv.org/abs/2510.00012 https://arxiv.org/pdf/2510.00012

A half-shift reflection identity for the digamma function
We prove the identity \[ 2W_1(x) + \log 4 + ψ\left(\tfrac{1}{2} + x\right) + ψ\left(\tfrac{3}{2} - x\right) = 0, \] where $ψ$ is the digamma function and \[ W_1(x) = 2\int_0^\infty \Re\left( \frac{y}{(y^2+1)(e^{π(y+2ix)} - 1)} \right) dy. \] The identity was first conjectured while studying class number $h(D)$ for $D=m^2$ from two complementary perspectives. Our proof, however, is purely analytic: we compute cosine-series expansions of both sides, expressed in terms of the cosine integral C…

I'd like to ask a question:
Working in research at a university comes with a lot of freedom in terms of working hours and workplace design (within limits, of course). Job advertisements often label this as “flexible.”
This can lead to exploitation, so as a supervisor, I make sure that monthly working hours are balanced out in a timely manner, that vacations are actually vacations, etc.
But: sometimes it's just hectic, then deadlines, conferences elsewhere, etc.

Positive cones of $b$-divisor classes
Snehajit Misra, Nabanita Ray
https://arxiv.org/abs/2509.25948 https://arxiv.org/pdf/2509.25948

Positive cones of $b$-divisor classes
In this article, we define the notion of ample Cartier $b$-divisor classes by using the notion of Seshadri constants for Cartier $b$-divisor classes. In particular, we have shown that the set of all ample Cartier $b$-divisor classes forms a convex cone inside the nef cone of Cartier $b$-divisor classes. Furthermore, we have studied various properties of these Cartier ample $b$-divisor classes. We have also given an equivalent characterization of big Cartier $b$-divisor classes in terms of volum…

Letter: Nexperia suspends supplies of wafers to its Chinese assembly plant, citing a failure to "comply with the agreed contractual payment terms" (Reuters)
https://www.reuters.com/world/europe/nexperia-suspends…

Electric Dipole Moments and New Physics
Maxim Pospelov, Adam Ritz
https://arxiv.org/abs/2509.23531 https://arxiv.org/pdf/2509.23531

Electric Dipole Moments and New Physics
Searches for intrinsic electric dipole moments (EDMs) of nucleons, atoms and molecules are precision flavor-diagonal probes of new $CP$-odd physics, as motivated by the need to explain the matter-antimatter asymmetry in the universe. We review and summarise the effective field theory analysis of the observable EDMs in terms of a general set of $CP$-odd operators at 1~GeV, and the ensuing model-independent constraints on new physics. We also review and discuss the EDMs induced by $CP$-violation …

Well-balanced high-order method for non-conservative hyperbolic PDEs with source terms: application to one-dimensional blood flow equations with gravity
Chiara Colombo, Caterina Dalmaso, Lucas O. M\"uller, Annunziato Siviglia
https://arxiv.org/abs/2509.22190

Well-balanced high-order method for non-conservative hyperbolic PDEs with source terms: application to one-dimensional blood flow equations with gravity
The present work proposes a well-balanced finite volume-type numerical method for the solution of non-conservative hyperbolic partial differential equations (PDEs) with source terms. The method is characterized, first, by the use of a recently introduced high-order spatial reconstruction, based on generalized Riemann problem information from the previous time level. Such reconstruction is well-balanced up to order three, compact, efficient and easy to implement. Second, the method incorporates …

Models of Collisionless Quasineutral Solar Wind Current Sheets
Sophie Boswell, Thomas Neukirch, Anton Artemyev, Ivan Vasko, Oliver Allanson
https://arxiv.org/abs/2509.24756 http…

Models of Collisionless Quasineutral Solar Wind Current Sheets
In situ measurements of kinetic scale current sheets in the solar wind show that they are often approximately force-free although the plasma beta is of order one. They frequently display systematic asymmetric and anti-correlated spatial variations of their particle density and temperature across the current sheet, leaving the plasma pressure essentially uniform. These observations of asymmetries have previously been modelled theoretically by adding additional terms to both the ion and electron …

From Dark Radiation to Dark Energy: Unified Cosmological Evolution in K-essence Models
Eladio Moreno, Josue De-Santiago
https://arxiv.org/abs/2509.25088 https://

From Dark Radiation to Dark Energy: Unified Cosmological Evolution in K-essence Models
We study a class of Unified Dark Matter (UDM) models based on generalized K-essence, where a single scalar field with non-canonical kinetic terms accounts for dark radiation, dark matter, and dark energy. Starting from the purely kinetic Lagrangian proposed by Scherrer (2004), we extend the analysis to quadratic and exponential scalar potentials and explore their phenomenology. All models are implemented in a modified version of \texttt{Hi\_CLASS} and confronted with data from \textit{Planck} 2…

Sometimes people say that Chinese watch companies are not serious.
I just thought I would check the terms and conditions I am agreeing to before purchase. Well, at least they are not Lorem ipsum, right? 🤣

Applications of Borel-definable homological algebra to locally compact groups
Martino Lupini
https://arxiv.org/abs/2509.25474 https://arxiv.org/pdf/2509.25…

Applications of Borel-definable homological algebra to locally compact groups
We show that the $\mathrm{Hom}$ functor from the category $\mathbf{LCPAb}$ of locally compact Polish abelian groups to the category $\mathbf{PAb}$ of Polish abelian groups has a total right derived functor, improving on Hoffmann and Spitzweck's construction of its cohomological right derived functor. We also apply the description of the left heart of subcategories of $\mathbf{PAb}$ in terms of groups with a Polish cover and Borel-definable group homomorphisms to completely characterize the in…

But there's money to be made in supporting the #NetanyahuAdmininstrations crimes against humanity, ethnic cleansing and land theft. You want to let somebody else make that profit?

But there's money to be made in supporting the #NetanyahuAdmininstrations crimes against humanity, ethnic cleansing and land theft. You want to let somebody else make that profit?

It was ten years ago that the person in charge of protecting kids online in Europe was telling to me apologise to Lord whateverhisnameis from Facebook for saying they shouldn’t be in schools. (Spoiler alert: they were informed in no uncertain terms exactly where they could stuff their not-forthcoming apology.)
https://

Global mild solutions in a critical setting for a forced fractional Boussinesq system
Diego Chamorro (LaMME), Maxence Mansais (LaMME)
https://arxiv.org/abs/2509.26098 https://…

Global mild solutions in a critical setting for a forced fractional Boussinesq system
We study here mild solutions for the forced, incompressible fractional Boussinesq system. Under suitable estimates for the terms involved (in an adapted functional framework) we can invoque a fixed point argument in order to obtain mild solutions. Although many functional spaces can be considered, we are interested here in a critical setting which ensures the existence of global solutions and we will work in particular with parabolic Morrey spaces which provide one of the largest critical funct…

A look at YouTube TV's terms in negotiations with Disney and others; sources say YouTube wants one- or two-year deals, below the three-to-five-year deal norm (Joe Flint/Wall Street Journal)
https://www.wsj.com/business/media/youtube-tv-…

What does A.J. Brown want? Eagles' star WR chases greatness — on his terms https://www.nytimes.com/athletic/6721175/2025/10/29/eagles-aj-brown-wr-titans-trade-super-bowl/

Derived equivalences, matrix equivalences, and homological conjectures
Xiaogang Li, Changchang Xi
https://arxiv.org/abs/2509.26353 https://arxiv.org/pdf/25…

Derived equivalences, matrix equivalences, and homological conjectures
Centralizer matrix algebras were investigated initially by Georg Ferdinand Frobenius in the Crelle's Journal around 1877. By introducing three new equivalence relations on all square matrices over a field, we completely characterize Morita, derived and almost $ν$-stable derived equivalences between centralizer matrix algebras in terms of these matrix equivalences, respectively. Thus the categorical equivalences are reduced to matrix equivalences in linear algebra. Further, we show that a deriv…

Stein's method, Markov processes, and linear eigenvalue statistics of random matrices
David Grzybowski, Mark Meckes
https://arxiv.org/abs/2509.25451 https://

Stein's method, Markov processes, and linear eigenvalue statistics of random matrices
We show how the infinitesimal exchangeable pairs approach to Stein's method combines naturally with the theory of Markov semigroups. We present a multivariate normal approximation theorem for functions of a random variable invariant with respect to a Markov semigroup. This theorem provides a Wasserstein distance bound in terms of quantities related to the infinitesimal generator of the semigroup. As an application, we deduce a rate of convergence for Johansson's celebrated theorem on linear eig…

foldoc: FOLDOC entries (2002)
A network of hyperlinks among entries in the Free On-line Dictionary of Computing (FOLDOC, www.foldoc.org), an online dictionary of acronyms and technical terms for computers. An edge points from i to j if the term j is referred to in the entry for term i. Edge weight denotes number of uses of the same term.
This network has 13356 nodes and 120238 edges.
Tags: Informational, Web graph, Weighted

AI is here to stay and will add value after a phase of finding out what works and what does not. In financial terms there is however a bubble that will explode....
https://fortune.com/2025/09/23/ai-boom-unsustainable-tech-spending-parabolic-deutsche…

The AI boom is unsustainable unless tech spending goes ‘parabolic,’ Deutsche Bank warns: ‘This is highly unlikely’
“In the absence of tech-related spending, the U.S. would be close to, or in, recession this year,” George Saravelos says.



Both Quikscript and Shavian were essentially the results of a design competition,
sponsored--posthumously--by playwright George Bernard Shaw,
who laid out the terms in his will.
Shaw wanted someone to create an ideal phonetic alphabet for English that trumped Pitman shorthand.
British designer Ronald Kingsley Read, a finalist in the 1960s competition, designed both Quikscript and Shavian, the latter being named in Shaw's honor

Here are 50 Different Written Languages. Can You Tell Which are Fake? - Core77
Below are examples of 50 different written languages. Unless you're Indiana Jones, I doubt you'll recognize more than a handful. However, of these 50 scripts, five of them are contrived 20th Century creations. Two of them are shorthand-style phonetic alphabets designed for English; one of them is an ideographic writing

The nonsymmetric shuffle theorem
Jonah Blasiak, Mark Haiman, Jennifer Morse, Anna Pun, George H. Seelinger
https://arxiv.org/abs/2509.24040 https://arxiv.o…

The nonsymmetric shuffle theorem
The shuffle conjecture of Haglund et al. expresses the symmetric function $\nabla e_n$ as a sum over labeled Dyck paths. Here $\nabla$ is an operator on symmetric functions defined in terms of its diagonal action on the basis of modified Macdonald polynomials. The shuffle conjecture was later refined by Haglund-Morse-Zabrocki to the compositional shuffle conjecture, expressing $\nabla C_α$ as a sum over labeled Dyck paths with touchpoints specified by $α$, where $C_α$ is a compositional Hall…

Numerical approximations to invariant measures of hybrid stochastic differential equations with superlinear coefficients via the backward Euler-Maruyama method
Wei Liu, Jie Xu
https://arxiv.org/abs/2509.25799

Numerical approximations to invariant measures of hybrid stochastic differential equations with superlinear coefficients via the backward Euler-Maruyama method
For stochastic stochastic differential equations with Markovian switching, whose drift and diffusion coefficients are allowed to contain superlinear terms, the backward Euler-Maruyama (BEM) method is proposed to approximate the invariant measure. The existence and uniqueness of the invariant measure of the numerical solution generated by the BEM method is proved. Then the convergence of the numerical invariant measure to its underlying counterpart is shown. The results obtained in this work rel…

Day 6: Kamome Shirahama
Before I wander much father afield, I'd be remiss not to include at least one Mangaka (I've got 8 on my planning list; if you think Manga is pushing it just wait until you see what the next few days have in store).
I'm currently following "Witch Hat Atelier," and it's absolutely amazing in several dimensions: first class world-building, deep philosophical themes, nuanced diverse cast, tightly-constructed interwoven plots, deep mysteries that keep everything churning and show up in unexpected places, absolutely stellar art both in terms of in-panel depictions and page layouts (some are Watchmen-quality), especially if you are sartorially inclined, and general kindness of its core messages. This is a series I wish every programmer would read, because it includes excellent advice about software design in multiple ways (did I mention there's an intricate and logical magic system within which the main character innovates in legible-to-the-reader-as-innovation ways?). Also, I bet I would have enjoyed this just a much as a 10-year-old as I'm enjoying it in my 30's, which is something that takes well-honed skill to pull off.
Shirahama is a master of her craft, and I'm honestly kinda surprised to see Witch Hat is only her second series. Definitely thinking how I can get my hands on her earlier work in English.
#20AuthorsNoMen

On the propagation of mountain waves: linear theory
Adrian Constantin, J\"org Weber
https://arxiv.org/abs/2509.26125 https://arxiv.org/pdf/2509.26125

On the propagation of mountain waves: linear theory
We derive and establish a solution concept for the linear mountain wave problem in two dimensions. After linearizing the governing equations and a change of variables, the problem can be stated as a Dirichlet boundary value problem for a Helmholtz equation in terms of the vertical wind profile in the upper half-plane, with altitude-dependent potential (the Scorer parameter). To single out the correct solution, we have to make use of a radiation condition which is, due to the different physical …

Form uniqueness for graphs with weakly spherically symmetric ends
Luis Hernandez, Sean Ku, Jun Masamune, Genevieve Romanelli, Rados{\l}aw K. Wojciechowski
https://arxiv.org/abs/2509.22967

Form uniqueness for graphs with weakly spherically symmetric ends
We give characterizations for the failure of form uniqueness on weakly spherically symmetric graphs. The first characterization is in terms of the graph structure, the second involves the capacity of a Cauchy boundary. We also discuss the stability of form uniqueness and give characterizations for graphs which, following the removal of a set, consist of a disjoint union of weakly spherically symmetric graphs.

Factorizations of 3d Interval Partition Functions
Boan Zhao, Panos Betzios, Paul Luis Roehl
https://arxiv.org/abs/2509.23902 https://arxiv.org/pdf/2509.239…

Factorizations of 3d Interval Partition Functions
We show that interval partition functions (transition amplitudes) of three- dimensional N = 2 theories admit factorizations into sums of products of hemisphere partition functions with additional normalization factors. We prove the factorization explic- itly for supersymmetric quantum electrodynamics and Chern-Simons-Yang-Mills theories. In the former case, we interpret the factorization geometrically in terms of the factorization of equivariant K-theory classes. In the latter case, we prove th…

Asymptotic Weighted Approximation of Convex Functions
Fernanda M. Ba\^eta
https://arxiv.org/abs/2509.24434 https://arxiv.org/pdf/2509.24434

Asymptotic Weighted Approximation of Convex Functions
Extending classical results on polytopal approximation of convex bodies, we derive asymptotic formulas for the weighted approximation of smooth convex functions by piecewise affine convex functions as the number of their facets tends to infinity. These asymptotic expressions are formulated in terms of a functional that extends the notion of affine surface area to the functional setting.

The investigation of some special curves in the pseudo-Galilean 4-space $G_{1}^{4} $
Fatma Almaz, Handan Oztekin
https://arxiv.org/abs/2509.24061 https://a…

The investigation of some special curves in the pseudo-Galilean 4-space $G_{1}^{4} $
In this paper, we investigate and characterise an arbitrary admissible curve in terms of its curvature functions in the pseudo-Galilean space $G_{1}^{4}$% . We also give some special curves in four-dimensional pseudo-Galilean space and their characterisations, such as position curve, osculating curve, normal curve, rectifying curve, slant helices, and spherical curves. Moreover, this study provides classifications of admissible curves in $G_{1}^{4}$. That is, the admissible rectifying curves ly…

An upper bound for the size of the ideal class monoid
Sungmun Cho, Jungtaek Hong, Yuchan Lee
https://arxiv.org/abs/2509.22386 https://arxiv.org/pdf/2509.22…

An upper bound for the size of the ideal class monoid
The ideal class monoid for an order $R$ in a finite field extension $E/F$ of a number field, denoted by $\overline{\mathrm{Cl}}(R)$, is a fundamental object to study in number theory which has useful applications in algebraic geometry and topology. In this paper, we describe an upper bound for $\#\overline{\mathrm{Cl}}(R)$, in terms of the class number of $E$ and (local) orbital integrals for $\mathfrak{gl}_n$. We also describe an upper bound for the class number of $E$ in terms of the Minkowsk…

Lepton Flavor Violation: From Muon Decays to Muon Colliders
Pouya Asadi, Hengameh Bagherian, Katherine Fraser, Samuel Homiller, Qianshu Lu
https://arxiv.org/abs/2509.22771 https…

Lepton Flavor Violation: From Muon Decays to Muon Colliders
We investigate the unique potential of a high-energy muon collider to probe lepton-flavor-violating signals arising from physics beyond the Standard Model (SM). Low-energy, precision searches for charged lepton-flavor violation (LFV) are projected to dramatically improve their sensitivity in the coming years, and could provide the first evidence of new physics. We interpret the sensitivity of these searches in terms of a set of LFV operators in the SM Effective Field Theory. The same operators …

An asymptotic field approach for the control of dipole emission in integrated structures
Vincenzo Macri', Alice Viola, Marco Liscidini
https://arxiv.org/abs/2509.24717 https…

An asymptotic field approach for the control of dipole emission in integrated structures
We present a general framework to model spontaneous emission in integrated photonic structures by exploiting quantization of the electromagnetic field in terms of asymptotic in/out modes. This approach allows for an efficient and physically meaningful calculation of the emission rate into each radiative channel of an arbitrary structure, without relying on approximations such as Lorentzian lineshapes or point-like system-bath coupling. We show that with this approach one can recover well-known …

Integrated Local Energy Decay for Waves with Time-Dependent Damping
Perry Kleinhenz, Michael McNulty
https://arxiv.org/abs/2510.00179 https://arxiv.org/pdf…

Integrated Local Energy Decay for Waves with Time-Dependent Damping
We prove integrated local energy decay for solutions of the damped wave equation with time-dependent damping satisfying an appropriate generalization of the geometric control condition on asymptotically flat, stationary space-times. We first obtain a high frequency estimate, which we prove via a positive commutator estimate using an escape function explicitly constructed in terms of the damping around individual space-time trajectories. We combine the high frequency estimate with low and medium…

WhatsApp updates its Business API terms to ban general-purpose chatbots starting January 15, 2026, affecting WhatsApp assistants of OpenAI, Perplexity, others (Ivan Mehta/TechCrunch)
https://techcrunch.com/2025/10/18/whatssapp-…

WhatssApp changes its terms to bar general purpose chatbots from its platform | TechCrunch
WhatsApp is banning general purpose chatbots from using its Business API

Correlated double ramification cycle formula
Thomas Blomme, Francesca Carocci
https://arxiv.org/abs/2509.24721 https://arxiv.org/pdf/2509.24721

Correlated double ramification cycle formula
We prove a refinement of Pixton's formula for the double ramification cycle with target variety which takes into account the correlator of a rubber map previously introduced by the authors. To do so, we need to: reinterpret the correlator in terms of (logarithmic) roots of the trivial line bundle; refine the natural stratification of the boundary of moduli of maps to keep track of how torsion line bundles on the target variety pull-back. We apply the refined DR cycle formula to compute 0-correl…

Cowboys, Tyler Smith agree to terms on $96 million extension to become highest-paid guard in NFL https://www.nfl.com/news/cowboys-tyler-smith-agree-to-terms-on-96-million-extension

Improved Stochastic Optimization of LogSumExp
Egor Gladin, Alexey Kroshnin, Jia-Jie Zhu, Pavel Dvurechensky
https://arxiv.org/abs/2509.24894 https://arxiv.…

Improved Stochastic Optimization of LogSumExp
The LogSumExp function, also known as the free energy, plays a central role in many important optimization problems, including entropy-regularized optimal transport and distributionally robust optimization (DRO). It is also the dual to the Kullback-Leibler (KL) divergence, which is widely used in machine learning. In practice, when the number of exponential terms inside the logarithm is large or infinite, optimization becomes challenging since computing the gradient requires differentiating eve…

Trump claims he and Xi Jinping approved a deal for TikTok's US operations; Chinese media's readout only says that China respects the wishes of businesses (Ben Berkowitz/Axios)
https://www.axios.com/2025/09/19/tiktok-trump-xi-deal-sale-terms

Trump suggests China approves TikTok deal, though app's fate still unclear
U.S. officials said earlier this week they had a framework deal with China on a sale.

Must-read article by Ian Bond on Europe, Ukraine, Russia, Trump, Putin etc. Just a quote
"The real fantasy is to believe that Trump’s erratic peace overtures to Russia can end the war on minimally acceptable terms, or that Putin will stop fighting unless forced to do so."
https://www.

Can Europe save Ukraine – and itself – from Putin and Trump?
Trump is not on Ukraine’s side, or Europe’s, but he cannot deliver peace on Putin’s terms. Rather than taking their lead from Trump, European leaders should act urgently to stop Russia’s advances and guarantee Ukraine’s security.

Modular Heights of Unitary Shimura Varieties
Ziqi Guo
https://arxiv.org/abs/2509.24363 https://arxiv.org/pdf/2509.24363

Modular Heights of Unitary Shimura Varieties
The goal of this paper is to prove a formula expressing the modular height of a unitary Shimura variety over a CM number field in terms of the logarithm derivative of the Hecke L-function associated with the CM extension. In a more specific term, we will introduce a global canonical integral model of such a unitary Shimura variety, and compute the arithmetic top self-intersection number of a canonical arithmetic line bundle with Hermitian metric on such integral model. At the same time, we also…

The MMP singularities of GIT versus Baily-Borel compactifications for the ball quotient case
Dali Shen
https://arxiv.org/abs/2509.24412 https://arxiv.org/p…

The MMP singularities of GIT versus Baily-Borel compactifications for the ball quotient case
When the geometric invariant theory and the Baily-Borel theory both apply to a moduli space, the two resulting compactifications do not necessarily coincide. They usually differ by a birational transformation in terms of an arrangement, for which the general pattern was firstly described by Looijenga. In this paper, we compare the MMP singularities on both sides for the ball quotient case. We show that if the relevant arrangement is nonempty, the birational transformation from the GIT compactif…

Trump claims he and Xi Jinping approved a deal for TikTok's US operations; Chinese media's readout only says that China respects the wishes of businesses (Ben Berkowitz/Axios)
https://www.axios.com/2025/09/19/tiktok-trump-xi-deal-sale-terms

Trump suggests China approves TikTok deal, though app's fate still unclear
U.S. officials said earlier this week they had a framework deal with China on a sale.

Spectral equivalence of unsymmetric kernel matrices and applications
Tizian Wenzel, Armin Iske
https://arxiv.org/abs/2509.24561 https://arxiv.org/pdf/2509.…

Spectral equivalence of unsymmetric kernel matrices and applications
Symmetric kernel matrices are a well researched topic in the literature of kernel based approximation. In particular stability properties in terms of lower bounds on the smallest eigenvalue of such symmetric kernel matrices are thoroughly investigated, as they play a fundamental role in theory and practice. In this work, we focus on unsymmetric kernel matrices and derive stability properties under small shifts by establishing a spectral equivalence to their unshifted, symmetric versions. This e…

Lacunary sequences whose reciprocal sums represent all rationals in an interval
Wouter van Doorn, Vjekoslav Kova\v{c}
https://arxiv.org/abs/2509.24971 https://

Lacunary sequences whose reciprocal sums represent all rationals in an interval
Answering a question of Michael Bleicher and Paul Erdős, we show that there exists a lacunary sequence of positive integers such that finite sums of reciprocals of its terms attain all rational numbers from a non-empty open interval. We also study several stronger variants of their original problem: determining the value of the optimal lacunarity parameter, representing rationals infinitely many times, finding such lacunary sequences with arbitrarily large jumps, and relating the maximal lengt…

Quantitative periodic homogenization of parabolic equations with large drift and potential
Kshitij Sinha (IIT Bombay)
https://arxiv.org/abs/2509.22003 https://

Quantitative periodic homogenization of parabolic equations with large drift and potential
This work aims to study the rates in the context of periodic homogenization of parabolic problems with large lower order terms (both drift and potential). We demonstrate that the solution is a product of three terms: (i) a function of time, (ii) the ground-state of an exponential cell eigenvalue problem and (iii) the solution to a parabolic equation with zero effective drift. For the latter, we derive $\mathrm L^2$ rates in the homogenization limit.

Local and global Langlands conjecture(s) over function fields
Dennis Gaitsgory
https://arxiv.org/abs/2509.24902 https://arxiv.org/pdf/2509.24902

Local and global Langlands conjecture(s) over function fields
This is a write-up for the plenary ICM talk, 2026. The goal of this paper is to propose a set of conjectures whose aim is to answer the basic question of the Langlands program (over function fields): how to describe the space of automorphic functions in terms of the spectral side (i.e., Langlands parameters)?

On concatenations of two $k$-generalized Lucas numbers
Alex Behakanira Tumwesigye, Mahadi Ddamulira, Prosper Kaggwa
https://arxiv.org/abs/2509.24057 https://

On concatenations of two $k$-generalized Lucas numbers
For an integer \( k \geq 2 \), the sequence of \( k \)-generalized Lucas numbers is defined by the recurrence relation \( L_n^{(k)} = L_{n-1}^{(k)} + \cdots + L_{n-k}^{(k)} \) for all \( n \geq 2 \), with initial conditions \( L_0^{(k)} = 2 \), \( L_1^{(k)} = 1 \) for all \( k \geq 2 \), and \( L_{2-k}^{(k)} = \cdots = L_{-1}^{(k)} = 0 \) for \( k \geq 3 \). In this paper, we determine all \( k \)-generalized Lucas numbers that are concatenations of two terms of the same sequence and completely…