Tootfinder

X updates its ToS, effective January 15, 2026, to explicitly claim rights to the "Twitter" trademark after a startup filed an application to trademark the term (Sarah Perez/TechCrunch)
https://techcrunch.com/2025/12/16/x-up

X updates its terms to lay claim to the 'Twitter' trademark after newcomer's challenge | TechCrunch
X's new terms of service say that no one can use the Twitter name, trademarks, logos and more without written consent.

"I'm an idiot.. At least this one [bug] took about 5 minutes to find.."
(Linus Torvalds in response to a bug report.)
> I'm an idiot.. At least this [bug] took about 5 minutes to find..
Disquieting ...
(Gonzalo Tornaria in response to Linus Torvalds's mailing about a kernel bug.)
> I'm an idiot.. At least this [bug] took about 5 minutes to find..
We need to find some new terms to describe the rest of us mere mortals
then.

Actually, I do want to come back to masculinity under patriarchy and whiteness under white supremacy because I think it's worth talking more about. The "man" under patriarchy (at least "Western" patriarchy) is represented as power and independence. The man needs nothing and thus owes nothing to anyone. The man controls and is not controlled, which is intimately related to independence as dependence can make someone vulnerable to control. The image of "man" projects power and invulnerability. At the same time "man" is a bumbling fool who can't be held accountable for his inability to control his sexual urges. He must be fed and cared for, as though another child. His worst behaviors must be dismissed with phrases such as "boys will be boys" and "locker room talk." The absurdity of the concept of human "independence" is impossible to understate.
Even if you go all Ted Kaczynski, you have still been raised and taught. This is, perhaps, why it is so much more useful to think in terms of obligations than rights. Rights can be claimed and protected with violence alone, but obligations reveal the true interdependence that sustains us. A "man" may assert his rights. Yet, on some level, we all know that the "man" of patriarchy acts as a child who is not mature enough to recognize his obligations.
White violence and white fragility reflect the same dichotomy. "The master race" somehow always needs brown folks to make all their shit and do all the reproductive labor for them. For those who fully embrace whiteness, the "safe space" is a joke. DEI shows weakness. Yet, when presented with an honest history adults become children who are incapable of differentiating between criticism and simple facts. *They* become the ones who must be kept safe. The expectation to be responsible for one's own words and actions, one of the very core definitions of being an adult, is far too much to expect. Their guilt needs room, needs tending, needs caring. White people cannot simply "grow the fuck up" or, as they may say of slavery, "fucking get over it."
And again, interestingly, it is *rights* that they reference: "Mah Freeze PEACH!" I find it hard to distinguish between such and my own child's assertion that anything she doesn't like is "not fair!" No, these assertions fail to recognize the fundamental fabric of adult society: the obligations we hold to each other.
At the intersection of all privilege is the sovereign, the ultimate god-man-baby. Again, referencing the essay (https://hexmhell.writeas.com/observations-on-domination-and-trump)
> This is where it becomes important to consider the ideology behind the sovereign ritual. Participation within the sovereign ritual denotes to the participants elements of the sovereign. That is, all agents of the sovereign are, essentially, micro dictators. By carrying out the will of the sovereign, these micro dictators can, by extension, act outside of the law.
While law enforcement is the ultimate representative of sovereign violence, privileges allow a gradated approximation of the sovereign. Those who are "closer" in privilege to the sovereign may, for example, be permitted to carry out violence against those who are father away. The gradation of privilege turns the whole society, except for the least privileged, into a cult that protects the privilege system on behalf of the most privileged. (And immediately Malcolm X pops to mind as having already talked about part of this relationship in 1963 https://www.youtube.com/watch?v=jf7rsCAfQCo.)

Cutting-Edge Facility Generates Pure Water and Hydrogen Fuel from Seawater for Mere Pennies https://www.goodnewsnetwork.org/cutting-edge-facility-generates-pure-water-and-hydrogen-fuel-from-seawater-for-mere-pennies/

Cutting-Edge Facility Generates Pure Water and Hydrogen Fuel from Seawater for Mere Pennies
This new installation beats out previous flagship desalination plants in Saudi Arabia and California in terms of cost-effectiveness.

@… I’m not on iOS 26 and is the new app any different in terms of function?

On equivariant vector bundles on the Fargues--Fontaine curve over a finite extension
Rustam Steingart
https://arxiv.org/abs/2510.12533 https://arxiv.org/pd…

On equivariant vector bundles on the Fargues--Fontaine curve over a finite extension
Let $K/E/\mathbb{Q}_p$ be a tower of finite extensions with $E$ Galois. We relate the category of $G_K$-equivariant vector bundles on the Fargues--Fontaine curve with coefficients in $E$ with $E$-$G_K$-$B$-pairs and describe crystalline and de Rham objects in explicit terms. When $E$ is a proper extension, we give a new description of the category in terms of compatible tuples of $\mathbf{B}_e$-modules, which allows us to compute Galois cohomology in terms of an explicit Čech complex which can…

Our mortgage renewal was quite simple this time. I have been working with the mortgage broker for a couple of years and is quite good and friendly.
Online call, go over the documents and terms. Electronic signature and download of the paperwork. From start to finish maybe 30 minutes.
Being paranoid I made a physical print of the pages.

Sources: Blue Owl Capital will not invest in Oracle's $10B, 1GW data center in Michigan after funding talks stalled due to concerns over debt terms and delays (Financial Times)
https://www.ft.com/content/84c147a4-aabb-4243-8298-11fabf1022a3

Formation of protostars and the launching of stellar core outflows with moving-mesh radiation non-ideal magnetohydrodynamics
Alexander C. Mayer, R\"udiger Pakmor, Thorsten Naab, Oliver Zier, Alexei V. Ivlev, Tommaso Grassi, Paola Caselli, Volker Springel
https://arxiv.org/abs/2510.12620

Formation of protostars and the launching of stellar core outflows with moving-mesh radiation non-ideal magnetohydrodynamics
We present an implementation of radiative transfer with flux-limited diffusion (FLD) for the moving-mesh code {\small AREPO} and use the method in a physical model for the formation of protostars with non-ideal radiation-magnetohydrodynamics (RMHD). We follow previous work in splitting the additional terms to the hydrodynamical equations arising from the inclusion of radiation into terms to be integrated explicitly and implicitly, as the diffusion and coupling terms would impose very restrictiv…

ASPI 12.11.2025
Resilient critical infrastructure is its own deterrence
"The ability to absorb disruption and keep operating isn’t just a technical virtue; it’s a signal. If an adversary believes that disruption will be temporary and costly to sustain, the incentive to strike is reduced."
ht…

Bosses are still mandating RTO: workers are going but on their own terms
https://www.cnbc.com/2025/10/06/bosses-are-still-mandating-rto-workers-are-going-but-on-their-own-terms.html

A universal approach to saddle-point methods in attosecond science
Anne Weber, Job Feldbrugge, Emilio Pisanty
https://arxiv.org/abs/2510.12545 https://arxi…

A universal approach to saddle-point methods in attosecond science
Light-matter interactions within the strong-field regime, where intense laser fields can ionise a target via tunnelling, give rise to fascinating phenomena such as the generation of high-order harmonic radiation (HHG). On the atomic scale, these strong-field processes are described in terms of highly-oscillatory time integrals which are often approximated using saddle-point methods. These methods simultaneously simplify the calculations and let us understand the physical processes in terms of s…

Love the ambiguous acronyms *within a domain*:
- FIT may mean Firmware Interface Table or Flash Image Tool
- FPT may mean Flash Partition Table or Flash Programming Tool
Edit: All of those are terms from the wonderful world of Intel firmware.

Liouville results for $(p,q)$-Laplacian elliptic equations with source terms involving gradient nonlinearities
Mousomi Bhakta, Anup Biswas, Roberta Filippucci
https://arxiv.org/abs/2510.12486

Liouville results for $(p,q)$-Laplacian elliptic equations with source terms involving gradient nonlinearities
In this paper, we present a series of Liouville-type theorems for a class of nonhomogeneous quasilinear elliptic equations featuring reactions that depend on the solution and its gradient. Specifically, we investigate equations of the form $-Δ_p u - Δ_q u = f(u,\nabla u)$ with $p > q > 1$, where the nonlinearity $f$ takes forms such as $u^s|\nabla u|^m$ or $u^s + M|\nabla u|^m$ ($s, m\geq 0$). Our approach is twofold. For cases where the reaction term satisfies $|f(u,…

Good Morning #Canada
On this day in 1948, the longest serving political leader in the British Commonwealth retired. William Lyon Mackenzie King served 21 years and 154 days as Prime Minister of Canada, in non-consecutive terms, from 1921–1926, 1926–1930, and 1935–1948. He led Canada through the Great Depression, introduced Old Age Pensions, nationalized the Bank of Canada, passed the 1938 National Housing Act to improve housing affordability, established the Canadian Broadcasting Corporation, Trans-Canada Air Lines, and the National Film Board, and implemented Unemployment Insurance. His government was also responsible for Japanese Internment Camps, and he believed strongly in the occult.
This video from TVO is an excellent overview of King's career. It's probably a two coffee viewing this morning if you have the time, but IMO worth the investment.
#CanadaIsAwesome #CanadianHeroes
https://www.tvo.org/video/mackenzie-king-at-150

Global smartphone shipments in 2026 are set to shrink 2.1% due to rising memory costs, led by Chinese OEMs; DRAM price surges are set to raise costs by 10%-15% (Counterpoint Research)
https://counterpointresearch.com/en/in

Glossary of Technical and Green Terms - Understand key words, abbreviations and other terms used on Earth Notes. #tech #glossary #energy -

Glossary of Technical and Green Terms
Understand key words, abbreviations and other terms used on Earth Notes. #tech #glossary #energy

"simple" in terms of superficial appearance. There's some bloody good cinematography on show here. #TOTP

OK, let's be clear about #Autism:
A majority of engineers, including software engineers, are #ActuallyAutistic; I suspect a majority of architects and people who invent new stuff generally are; many people in the creative arts are.
Without

Independent review into mental health conditions, ADHD and autism: terms of reference

Sources: the MLS-Apple TV deal will end in 2029, three and a half years earlier than planned; compensation averages $250M for the three remaining full seasons (Sportico)
https://www.sportico.com/leagues/soccer/2025/apple-mls-streaming-contract-cha…

Apple TV MLS Streaming Deal Will End in 2029 Under Revised Terms
MLS and Apple's streaming rights agreement will now end three and half years early, letting the league explore new partners after the 2026 World Cup.

On the Formal Metatheory of the Pure Type Systems using One-sorted Variable Names and Multiple Substitutions
Sebasti\'an Urciuoli (Universidad ORT Uruguay)
https://arxiv.org/abs/2510.12300

On the Formal Metatheory of the Pure Type Systems using One-sorted Variable Names and Multiple Substitutions
We develop formal theories of conversion for Church-style lambda-terms with Pi-types in first-order syntax using one-sorted variables names and Stoughton's multiple substitutions. We then formalize the Pure Type Systems along some fundamental metatheoretic properties: weakening, syntactic validity, closure under alpha-conversion and substitution. Finally, we compare our formalization with others related. The whole development has been machine-checked using the Agda system. Our work demonstrate…

When even #Firefox ends up in my Mastodon filters. What a timeline. #FuckAI

Just noticed Firefox was guzzling around ~750MB when opening Apple Music page. This led me down a rabbit hole of building a custom music client and its so bad.
1. You need Apple developer account (99USD/year) for API access.
2. Linux is not a native target meaning having to use MusicKit JS library with Electron, GtkWebKit or QtWebEngine.
3. Legal issues.
Spotify is such a saint in terms of third-party client support. Also, I have Amazon Prime which gets me Amazon Music…

10 Years of Let's Encrypt #Certificates
https://letsencrypt.org/2025/12/09/10-years
Mindblowing statistics of this extremely important project, delivering

The Motivic Picard--Lefschetz Formula
Ran Azouri, Emil Jacobsen
https://arxiv.org/abs/2510.12762 https://arxiv.org/pdf/2510.12762

The Motivic Picard--Lefschetz Formula
We prove a motivic enhancement of the classical Picard--Lefschetz formula. Our proof is completely motivic, and yields a description of the motivic nearby cycles at a quasi-homogeneous singularity, as well as its monodromy, in terms of an embedding of projective hypersurfaces.

Discrete Curvatures and Convex Polytopes
Jes\'us A. De Loera, Jillian Eddy, Sawyer Jack Robertson, Jos\'e Alejandro Samper
https://arxiv.org/abs/2510.11894 https://

Discrete Curvatures and Convex Polytopes
We study Forman--Ricci and effective resistance curvatures on the skeleta of convex polytopes. Our guiding questions are: how frequently do polytopal graphs exhibit everywhere positive curvature, and what structural constraints does positivity impose? For Forman--Ricci curvature we derive an exact identity for the average edge curvature in terms of flag $f$-numbers and establish the existence of infinite families of Forman--Ricci-positive polytopes in every fixed dimension $d\ge 6$. We prove fi…

Carleman Estimates and Controllability of Forward Stochastic Parabolic Equations with General Dynamic Boundary Conditions
Said Boulite, Abdellatif Elgrou, Lahcen Maniar, Abdelaziz Rhandi
https://arxiv.org/abs/2510.12345

Carleman Estimates and Controllability of Forward Stochastic Parabolic Equations with General Dynamic Boundary Conditions
We derive a new Carleman estimate for a general backward stochastic parabolic equation with dynamic boundary conditions, incorporating weak divergence source terms in both the bulk and surface equations. This estimate is obtained through two main steps: first, by refining a known Carleman estimate for backward stochastic parabolic equations to explicitly account for the dependence of the parameters on the final control time \(T\); second, by applying a duality technique to address weak divergen…

Had a great time presenting our paper “Domain-specific tensor languages” today at #ICFP2025 in Singapore 🇸🇬
The images attached are screenshots from the paper as teasers — diagrams for derivative rules, the Riemann curvature 4-tensor in Einstein’s index notation, and the same in diagram form.
📄 Slides:

Combined effects of particle geometry and applied vibrations on the mechanics and strength of entangled materials
Saeed Pezeshki, Francois Barthelat
https://arxiv.org/abs/2510.09933

Combined effects of particle geometry and applied vibrations on the mechanics and strength of entangled materials
Entangled materials offer attractive structural features including tensile strength and large deformations, combined with infinite assembly and disassembly capabilities. How the geometry of individual particles governs entanglement, and in turn translates into macroscopic structural properties, provides a rich landscape in terms of mechanics and offers intriguing possibilities in terms of structural design. Despite this potential, there are major knowledge gaps on the entanglement mechanisms an…

Tight Regret Upper and Lower Bounds for Optimistic Hedge in Two-Player Zero-Sum Games
Taira Tsuchiya
https://arxiv.org/abs/2510.11691 https://arxiv.org/pdf…

Tight Regret Upper and Lower Bounds for Optimistic Hedge in Two-Player Zero-Sum Games
In two-player zero-sum games, the learning dynamic based on optimistic Hedge achieves one of the best-known regret upper bounds among strongly-uncoupled learning dynamics. With an appropriately chosen learning rate, the social and individual regrets can be bounded by $O(\log(mn))$ in terms of the numbers of actions $m$ and $n$ of the two players. This study investigates the optimality of the dependence on $m$ and $n$ in the regret of optimistic Hedge. To this end, we begin by refining existing …

Outer length billiards on polygons
Lael Edwards-Costa
https://arxiv.org/abs/2510.11869 https://arxiv.org/pdf/2510.11869

Outer length billiards on polygons
The classical inner and outer billiards can be formulated in variational terms, with length and area as the respective generating functions. The other two combinations, ``inner with area'' and ``outer with length,'' are more recently described. Here, we consider the latter system in the special case of polygonal tables. We describe the behavior of orbits far away from the table and pose conjectures regarding an escaping orbit when the table is a square. This paper is meant to complement arXiv:2…

DIPLODOCUS II: Implementation of transport equations and test cases relevant to micro-scale physics of jetted astrophysical sources
Christopher N. Everett, Marc Klinger-Plaisier, Garret Cotter
https://arxiv.org/abs/2510.12505

DIPLODOCUS II: Implementation of transport equations and test cases relevant to micro-scale physics of jetted astrophysical sources
DIPLODOCUS (Distribution-In-PLateaux methODOlogy for the CompUtation of transport equationS) is a novel framework being developed for the general transport of particle distribution functions through the seven dimensions of phase space, including forcing terms and interactions between particles. Following Paper I, which details the background analytic framework, this second paper provides an overview of the numerical implementation in the form of the code package Diplodocus.jl, written in Julia,…

Gradient-flowed operator product expansion without IR renormalons
Martin Beneke (TU Munich), Hiromasa Takaura (Kyoto University)
https://arxiv.org/abs/2510.12193 https://…

Gradient-flowed operator product expansion without IR renormalons
A long-standing problem concerns the question how to consistently combine perturbative expansions in QCD with power corrections in the context of the operator product expansion (OPE), since the former exhibit ambiguities due to infrared renormalons, which are of the same order as the power corrections. We propose to use the gradient flow time $1/\sqrt{t}$ as a factorization scale and to express the OPE in terms of IR renormalon-free subtracted perturbative expansions and unambiguous matrix elem…

PAC-Bayesian Bounds on Constrained f-Entropic Risk Measures
Hind Atbir, Farah Cherfaoui, Guillaume Metzler, Emilie Morvant, Paul Viallard
https://arxiv.org/abs/2510.11169 https:…

PAC-Bayesian Bounds on Constrained f-Entropic Risk Measures
PAC generalization bounds on the risk, when expressed in terms of the expected loss, are often insufficient to capture imbalances between subgroups in the data. To overcome this limitation, we introduce a new family of risk measures, called constrained f-entropic risk measures, which enable finer control over distributional shifts and subgroup imbalances via f-divergences, and include the Conditional Value at Risk (CVaR), a well-known risk measure. We derive both classical and disintegrated PAC…

For a few years now I have the impression that Big Tech companies resemble more and more something like ecosystem states but without any functional judicial system. And that horrifies me. Their terms of service which should be their constitutions seem more like a dictatorial permission slip with the ability to denaturalize and disown people.
https:…

Cyclic and alternating $U$-statistics
Svante Janson
https://arxiv.org/abs/2510.12480 https://arxiv.org/pdf/2510.12480…

Cyclic and alternating $U$-statistics
We define cyclic $U$-statistics as a variant of $U$-statistics based on variables $X_1,\dots,X_n$ that are assumed to be cyclically ordered. We also define alternating $U$-statistics where in the definition terms are summed with alternating sings (in three different ways). Only $U$-statistics of order 2 are considered. The definitions are inspired by special cases studied by Chebikin (2008) and Even-Zohar (2017) for random permutations. We show limit theorems similar to well-known results for…

"Digital Sovereignty" as a term always has the implicit danger of fueling nationalist narratives. We should be finding better terms, I like @… 's "resilient infrastructure" framing.

Origin of pressure-flow non-linearity in two-phase intermittent flow in porous media
Paolo Botticini, Davide Picchi, Santanu Sinha, Alex Hansen
https://arxiv.org/abs/2510.12588 …

Origin of pressure-flow non-linearity in two-phase intermittent flow in porous media
This study presents a first-principles model to predict the two-phase pressure drop in gas-liquid intermittent flow through round capillaries, which serve as the simplest analogous of a porous medium. Building upon the classical capillary flow theory, we derive a model for a train of elongated bubbles, and rigorously quantify its validity in terms of the dimensionless parameters of the problem (capillary number, number of bubbles, gas volume fraction, and channel length-to-diameter ratio). The …

Revisiting Trust in the Era of Generative AI: Factorial Structure and Latent Profiles
Haocan Sun, Weizi Liu, Di Wu, Guoming Yu, Mike Yao
https://arxiv.org/abs/2510.10199 https:/…

Revisiting Trust in the Era of Generative AI: Factorial Structure and Latent Profiles
Trust is one of the most important factors shaping whether and how people adopt and rely on artificial intelligence (AI). Yet most existing studies measure trust in terms of functionality, focusing on whether a system is reliable, accurate, or easy to use, while giving less attention to the social and emotional dimensions that are increasingly relevant for today's generative AI (GenAI) systems. These systems do not just process information; they converse, respond, and collaborate with users, bl…

Triangulated Categories Admitting Linear Generators
Marina Godinho, Dave Murphy
https://arxiv.org/abs/2510.12433 https://arxiv.org/pdf/2510.12433

Triangulated Categories Admitting Linear Generators
The main result of this paper is that there is an additive equivalence between $\overline{\mathcal{C}}_n$, the Paquette-Yildirim completion of the discrete cluster categories of Dynkin type $A_{\infty}$, and the perfect derived category of a certain DG algebra. This additive equivalence preserves some of the triangulated structure: it commutes with the suspension functor and preserves triangles with at least two indecomposable terms. In the process, we introduce the notion of a linear generator…

When Openness Fails: Lessons from System Safety for Assessing Openness in AI
Tamara Paris, Shalaleh Rismani
https://arxiv.org/abs/2510.10732 https://arxiv.…

When Openness Fails: Lessons from System Safety for Assessing Openness in AI
Most frameworks for assessing the openness of AI systems use narrow criteria such as availability of data, model, code, documentation, and licensing terms. However, to evaluate whether the intended effects of openness - such as democratization and autonomy - are realized, we need a more holistic approach that considers the context of release: who will reuse the system, for what purposes, and under what conditions. To this end, we adapt five lessons from system safety that offer guidance on how …

We're eating good tonight! >:3

Counting conjugacy classes of elements of finite order in p-compact groups
Jos\'e Cantarero, Bernardo Villarreal
https://arxiv.org/abs/2510.11069 https://

Counting conjugacy classes of elements of finite order in p-compact groups
We express the set of representations from a cyclic $p$-group to a connected $p$-compact group in terms of the associated reflection group and compute its cardinality for each exotic $p$-compact group.

Mordell--Tornheim zeta function: Kronecker limit type formulas and Special values
Sumukha Sathyanarayana, N. Guru Sharan
https://arxiv.org/abs/2510.10093 https://

Mordell--Tornheim zeta function: Kronecker limit type formulas and Special values
In this paper, we establish Kronecker limit type formulas for the generalized Mordell--Tornheim zeta function $Θ(r,s,t,x)$ as a function of the third variable, in terms of Riemann-zeta and Gamma values. We also give series evaluations of $Θ(r,s,t,x)$ in terms of Herglotz-Zagier type functions, and their derivatives. As applications of this, we derive Kronecker limit type formula in the second variable and a new infinite family of modular relations called mixed functional equations. We also st…

Tiny-R1V: Lightweight Multimodal Unified Reasoning Model via Model Merging
Qixiang Yin, Huanjin Yao, Jianghao Chen, Jiaxing Huang, Zhicheng Zhao, Fei Su
https://arxiv.org/abs/2510.08987

Tiny-R1V: Lightweight Multimodal Unified Reasoning Model via Model Merging
Although Multimodal Large Language Models (MLLMs) have demonstrated remarkable capabilities across diverse tasks, they encounter numerous challenges in terms of reasoning efficiency, such as large model size, overthinking, and compromised accuracy in lightweight scenarios. However, research on the reasoning capabilities of lightweight MLLMs is quite lacking. To this end, we propose Tiny-R1V, a novel lightweight 3B model that achieves faster inference and higher accuracy via a two-stage optimiza…

Centralizers of discrete Temperley-Lieb-Jones subfactors
Corey Jones, Emily McGovern
https://arxiv.org/abs/2510.12675 https://arxiv.org/pdf/2510.12675

Centralizers of discrete Temperley-Lieb-Jones subfactors
Discrete, unimodular inclusions of factors $(N\subseteq M, E)$ with $N$ of type $\rm{II}_{1}$ have a natural notion of standard invariant, generalizing the finite index case. When the unitary tensor category of $N$-$N$ bimodules generated by $_{N}L^{2}(M, τ\circ E)_{N}$ is equivalent to the Temperley-Lieb-Jones category $\text{TLJ}(δ)$, the associated discrete standard invariants are classified in terms of fair and balanced $δ$-graphs. Many examples of these subfactors naturally arise in the…

H-harmonic reproducing kernels on the ball
Mat\v{e}j Morav\'ik
https://arxiv.org/abs/2510.11821 https://arxiv.org/pdf/2510.11821

H-harmonic reproducing kernels on the ball
We consider the Szegő reproducing kernel associated with the space of $H$-harmonic functions on the unit ball in n-dimensional space, i.e. functions that are characterized by being annihilated by the hyperbolic Laplacian. This paper derives an explicit series expansion for the reproducing kernel in terms of a triple hypergeometric function introduced of Exton. Moreover, we demonstrate that the Szegő kernel admits a representation as a finite sum of hypergeometric functions. We further show th…

Just finished "Beasts Made of Night" by Tochi Onyebuchi...
Indirect CW for fantasy police state violence.
So I very much enjoyed Onyebuchi's "Riot Baby," and when I grabbed this at the library, I was certain it would be excellent. But having finished it, I'm not sure I like it that much overall?
The first maybe third is excellent, including the world-building, which is fascinating. I feel like Onyebuchi must have played "Shadow of the Colossus" at some point. Onyebuchi certainly does know how to make me care for his characters.
Some spoilers from here on out...
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.
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I felt like it stumbles towards the middle, with Bo's reactions neither making sense in the immediate context, nor in retrospect by the end when we've learned more. Things are a bit floaty in the middle with an unclear picture of what exactly is going on politics-wise and what the motivations are. Here I think there were some nuances that didn't make it to the page, or perhaps I'm just a bit thick and not getting stuff I should be? More is of course revealed by the end, but I still wasn't satisfied with the explanations of things. For example, (spoilers) I don't feel I understand clearly what kind of power the army of aki was supposed to represent within the city? Perhaps necessary to wield the threat of offensive inisisia use? In that case, a single scene somewhere of Izu's faction deploying that tactic would have been helpful I think.
Then towards the end, for me things really started to jumble, with unclear motivations, revelations that didn't feel well-paced or -structured, and a finale where both the action & collapsing concerns felt stilted and disjointed. Particularly the mechanics/ethics of the most important death that set the finale in motion bothered me, and the unexplained mechanism by which that led to what came next? I can read a couple of possible interesting morals into the whole denouement, but didn't feel that any of them were sufficiently explored. Especially if we're supposed to see some personal failing in the protagonist's actions, I don't think it's made clear enough what that is, since I feel his reasons to reject each faction are pretty solid, and if we're meant to either pity or abjure his indecision, I don't think the message lands clearly enough.
There *is* a sequel, which honestly I wasn't sure of after the last page, and which I now very interested in. Beasts is Onyebuchi's debut, which maybe makes sense of me feeling that Riot Baby didn't have the same plotting issues. It also maybe means that Onyebuchi couldn't be sure a sequel would make it to publication in terms of setting up the ending.
Overall I really enjoyed at least 80% of this, but was expecting even better (especially politically) given Onyebuchi's other work, and I didn't feel like I found it.
#AmReading

Little Caesars Pizza!Pizza! Pregame Show | Week 15 vs. Raiders https://www.philadelphiaeagles.com/video/little-caesars-pizza-pizza-pregame-show-week-15-vs-raiders-2025-nfl-season

Marcus Theory and The Condon Approximation Revisited I: E-SHAKE and Seam Sampling
D. Vale Cofer-Shabica, Jennifer R. DeRosa, Joseph E. Subotnik
https://arxiv.org/abs/2510.11810 …

Marcus Theory and The Condon Approximation Revisited I: E-SHAKE and Seam Sampling
Marcus theory is the workhorse of theoretical chemistry for predicting the rates of charge and energy transfer. Marcus theory overwhelmingly agrees with experiment -- both in terms of electron transfer and triplet energy transfer -- for the famous set of naphthalene-bridge-biphenyl and naphthalene-bridge-benzophenone systems studied by Piotrowiak, Miller, and Closs. That being said, the agreement is not perfect, and in this manuscript, we revisit one key point of disagreement: the molecule C-13…

An information theorist's tour of differential privacy
Anand D. Sarwate, Flavio P. Calmon, Oliver Kosut, Lalitha Sankar
https://arxiv.org/abs/2510.10316 https://

An information theorist's tour of differential privacy
Since being proposed in 2006, differential privacy has become a standard method for quantifying certain risks in publishing or sharing analyses of sensitive data. At its heart, differential privacy measures risk in terms of the differences between probability distributions, which is a central topic in information theory. A differentially private algorithm is a channel between the underlying data and the output of the analysis. Seen in this way, the guarantees made by differential privacy can be…

On the distribution of $A_\alpha$-eigenvalues in terms of graph invariants
Uilton Cesar Peres Junior, Carla Silva Oliveira, Andr\'e Ebling Brondan
https://arxiv.org/abs/2510.06933

On the distribution of $A_α$-eigenvalues in terms of graph invariants
Let $G$ be a connected graph of order $n$, and $A(G)$ and $D(G)$ its adjacency and degree diagonal matrices, respectively. For a parameter $α\in [0,1]$, Nikiforov~(2017) introduced the convex combination $A_α(G) = αD(G) + (1 - α)A(G)$. In this paper, we investigate the spectral distribution of $A_α(G)$-eigenvalues, over subintervals of the real line. We establish lower and upper bounds on the number of such eigenvalues in terms of structural parameters of $G$, including the number of penda…

Google and Disney's agreement gives YouTube TV users access to ESPN's full lineup of sports, including ESPN Unlimited, at no additional cost by the end of 2026 (Todd Spangler/Variety)
https://variety.com/2025/tv/news/youtube-tv-disney-bla…

YouTube TV and Disney Reach Deal Ending Two-Week Blackout of ESPN, ABC
ESPN, ABC and other Disney TV networks are coming back to YouTube TV, after the media conglomerate and Google reached a deal on pricing and terms for a renewed carriage deal.

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

Local regularity of spacetimes under Ricci curvature and Lie derivative conditions
Bing-Long Chen
https://arxiv.org/abs/2510.09946 https://arxiv.org/pdf/25…

Local regularity of spacetimes under Ricci curvature and Lie derivative conditions
In this paper, we derive a general regularity estimate for any 4-d spacetime, in terms of a priori bounds of the Ricci curvature and Lie derivative of the Lorentzian metric with respect to an arbitrary timelike vector field.

Bleh. Just saw a friend who found out they couldn’t be followed by one of their friends because (unbeknownst to both parties) the moderators of their friend’s instance had defederated from their own instance. All of this, for people who barely know what any of these terms mean. What they experience is, “Two people you’ve never met have a beef you’ve never heard about over an issue you don’t know about, so your friend can’t see you. And there’s no fix.” It’s just terrible all around.

Proof of the exact diffusion constant via first passage time in quasi-periodic potentials
Ming Gong
https://arxiv.org/abs/2510.10435 https://arxiv.org/pdf/…

Proof of the exact diffusion constant via first passage time in quasi-periodic potentials
Brownian motion in terms of Lifson and Jackson (LJ) formula has been widely explored in periodic systems and it has been believed for a long time that the LJ formula only applies to periodic potentials. Recently we show that for the following Brownian motion $γ\dot{x} = -U'(x) + ξ$, where $U(x)$ is the quasi-periodic potential, the effective diffusion constant can still be described by the LJ formula $D^* = D/(\langle \exp(βU)\rangle \langle \exp(-βU)\rangle)$, where the average is redefine…

Warner Bros. Discovery Board of Directors Unanimously Recommends Shareholders Reject Paramount Tender Offer
The terms of the Netflix merger are superior. The PSKY offer provides inadequate value and imposes numerous, significant risks and costs on WBD.
PSKY has consistently misled WBD shareholders that its proposed transaction has a "full backstop" from the Ellison family. It does not, and never has
https://ir.wbd.com/news-and-events/financial-news/financial-news-details/2025/Warner-Bros--Discovery-Board-of-Directors-Unanimously-Recommends-Shareholders-Reject-Paramount-Tender-Offer/default.aspx

A Set of Quebec-French Corpus of Regional Expressions and Terms
David Beauchemin, Yan Tremblay, Mohamed Amine Youssef, Richard Khoury
https://arxiv.org/abs/2510.05026 https://…

A Set of Quebec-French Corpus of Regional Expressions and Terms
The tasks of idiom understanding and dialect understanding are both well-established benchmarks in natural language processing. In this paper, we propose combining them, and using regional idioms as a test of dialect understanding. Towards this end, we propose two new benchmark datasets for the Quebec dialect of French: QFrCoRE, which contains 4,633 instances of idiomatic phrases, and QFrCoRT, which comprises 171 regional instances of idiomatic words. We explain how to construct these corpora, …

Oh. Parece que morreu o John Varley.
Um autor de FC americano de segunda linha com alguns livros publicados em Portugal. Toda a série Gaea (uma trilogia que a Europa-América publicou em 6 volumes) é muito boa.
https://fed.brid.gy/r/https://bsky.app

Jesse Sheidlower (@jessesword.com)
RIP John Varley. We have a lot of quotations from him in the Historical #Dictionary of #ScienceFiction, and he is credited as being the originator of four terms: cryosuspension, cyborg (v.), cyborged, and nearside (n.): https://sfdictionary.com/author/59/john-varley?firstquotes=1 [contains quote post or other embedded content]

Only one paper telling the truth... is that funny?
https://theonion.com/israel-agrees-to-go-back-to-killing-palestinians-on-less-frequent-basis/

Israel Agrees To Go Back To Killing Palestinians On Less Frequent Basis
CAIRO—As part of a historic ceasefire agreement with Hamas following two years of war, the Israeli government reportedly agreed Thursday to go back to killing Palestinians on a less frequent basis. “In line with the terms of the deal, Hamas will release all remaining Israeli hostages, and Israel will still murder innocent Palestinian civilians on […]

"Labour has also won every time the Senedd has been contested, as it will be again in May. Yet, if the most recent Wales-wide poll holds good, that is set to change. Plaid will instead be the largest party, just ahead of Reform UK, with Labour third. Though still a minority, Plaid would be in government. In Welsh terms, that would be a political earthquake. Perhaps in Britain-wide terms too"
#UKPol

On the integral simplicial volume of cyclic covers of mapping tori
Federica Bertolotti, Ervin Hadziosmanovic
https://arxiv.org/abs/2510.11651 https://arxiv…

On the integral simplicial volume of cyclic covers of mapping tori
In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an $n$-dimensional torus. By studying the integral filling volume -- an invariant introduced by Frigerio and the first author -- for the monodromy, we establish both lower and upper bounds for the limit of the integral simplicial volume of these covers, normalized by the degree of the covering. These bounds are expressed in terms of…

Want a used car that works?
You’d be wise to not get an older Tesla.
In Consumer Reports’ latest ranking for used cars,
the Elon Musk-run automaker came dead last in terms of reliability,
trailing by over forty points from the top spot on a scale between 0 and 100
https://futurism.co…

Old Teslas Are Falling Apart
On Consumer Reports' latest ranking of used car reliability, Tesla came in dead last with a rating not even half of the top placed brand.

Staggered time discretization in finitely-strained heterogeneous visco-elastodynamics with damage or diffusion in the Eulerian frame
Tom\'a\v{s} Roub\'i\v{c}ek
https://arxiv.org/abs/2510.10355 …

Staggered time discretization in finitely-strained heterogeneous visco-elastodynamics with damage or diffusion in the Eulerian frame
The semi-implicit (partly decoupled, also called staggered or fraction-step) time discretization is applied to compressible nonlinear dynamical models of viscoelastic solids in the Eulerian description, i.e.\ in the actual deforming configuration, formulated fully in terms of rates. The Kelvin-Voigt rheology and also, in the deviatoric part, the Jeffreys rheology are considered. The numerical stability and, considering the Stokes-type viscosity multipolar of the 2nd-grade, also convergence towa…

Castelnuovo-Mumford Regularity and Combinatorial Invariants of Trees
Ahtsham Ul Haq, Muhammad Usman Rashid, Muhammad Ishaq
https://arxiv.org/abs/2510.11265 https://

Castelnuovo-Mumford Regularity and Combinatorial Invariants of Trees
This work establishes combinatorial bounds on the Castelnuovo-Mumford regularity of edge ideals for trees and their multi-whiskered variants. For a tree \( T \), we give bounds for the Castelnuovo-Mumford regularity of \( I(T) \) in terms of the order, diameter, and number of pendant vertices. Furthermore, we present an upper bound for multi-whiskered trees \( T_{\mathbf{a}} \), demonstrating that the Castelnuovo-Mumford regularity of \( I(T_{\mathbf{a}}) \) is bounded by the same invariants of…

Switzerland launches a preliminary investigation into whether Apple's terms for granting third-party access to NFC tech on iPhones violate its antitrust laws (Tim Hardwick/MacRumors)
https://www.macrumors.com/2025/12/12/apple-pay-swiss-antitrust-probe-nfc/

Apple Pay Faces Swiss Antitrust Investigation Over NFC Access
Switzerland's competition authority has launched a preliminary investigation into whether Apple's terms for granting third-party access to...

On the quadratic complexity of subsets of $\mathbb{F}_p^n$ of bounded $\mathrm{VC_{2}}$-dimension
C. Terry, J. Wolf
https://arxiv.org/abs/2510.12767 https://

On the quadratic complexity of subsets of $\mathbb{F}_p^n$ of bounded $\mathrm{VC_{2}}$-dimension
In prior work, we showed that subsets of $\mathbb{F}_{p}^{n}$ of $\mathrm{VC_{2}}$-dimension at most $k$ are well approximated by a union of atoms of a quadratic factor of complexity $(\ell,q)$, where the complexity $\ell$ of the linear part and the complexity $q$ of the quadratic part are both bounded in terms of $k$, $p$, and the desired level of approximation $μ$. A key tool in the proof of this result was an arithmetic regularity lemma for the Gowers $U^3$-norm by Green and Tao, which resu…

Perhaps they'll have to change their brand name to Beyond Dead Animals now?
https://www.euronews.com/my-europe/2025/10/08/when-is-a-sausage-no-longer-a-sausage-european-parliament-answers-a…

When is a sausage no longer one? EU Parliament answers after grilling
The European Parliament has voted to ban meat-related terms like “burger” and “sausage” for plant-based products, prompting backlash from consumer and environmental groups. #EuropeNews

Derivation over twisted group ring and its applications
Alvaro Otero Sanchez
https://arxiv.org/abs/2510.09623 https://arxiv.org/pdf/2510.09623

Derivation over twisted group ring and its applications
This paper classifies the derivations of twisted group algebras in terms of the generators and defining relations of the group. In particular, we generalize some know results over group algebras to the case of twisted group algebras. We will give necessary and sufficient condition for a map defined over the generators to be extended to a derivation over a twisted group ring. We present how this results can be use in case of an abelian group or dihedral group. We also present how this results ca…

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

"At $4.5bn each year extreme weather is costing Australia three times as much compared with 1990s, insurers say"
#Australia #Climate #ClimateChange

Local Lipschitz continuity for energy integrals with fast growth and lower order terms
Andrea Torricelli
https://arxiv.org/abs/2510.09142 https://arxiv.org…

Local Lipschitz continuity for energy integrals with fast growth and lower order terms
We consider integral functionals with fast growth and the lagrangian explicitly depending on $u$. We prove that the local minimizers are locally Lipschitz continuous.

On the cohomology of homshifts
Nishant Chandgotia, Silv\`ere Gangloff, Benjamin Hellouin de Menibus, Piotr Oprocha
https://arxiv.org/abs/2510.11969 https://

On the cohomology of homshifts
We study the cohomology of symbolic dynamical systems called homshifts: they are the nearest-neighbour $\mathbb{Z}^d$ shifts of finite type whose adjacency rules are the same in every direction. Building on the work of Klaus Schmidt (Pacific J. Math. 170 (1995), no.1, 237-269) we give a necessary and sufficient condition for their cohomological triviality. This condition is expressed in terms of the topology of a natural simplicial complex arising from the shift space which can be analyzed in m…

Braise, stew, soup... is a spectrum to some.
Here is the fix: Just call it a #brewp.
No need to fighter over terms.

Interacting point processes
Fabrizio Cinque, Enzo Orsingher
https://arxiv.org/abs/2510.12531 https://arxiv.org/pdf/2510.12531

Interacting point processes
We study two different types of vector point processes with interacting components, introducing a migration-type effect. The first case concerns two groups which modify their states with rate functions depending on time only. This yields a representation of the vector process in terms of independent non-homogeneous Skellam processes. In the general case, the decomposition involves independent Poisson processes. The second model is a birth-death-migration vector process. In the case of the linea…

Sums of Exponential Terms, Conserved Quantities, and the Real Wave Numbers
Terence R. Smith
https://arxiv.org/abs/2510.07803 https://arxiv.org/pdf/2510.078…

Sums of Exponential Terms, Conserved Quantities, and the Real Wave Numbers
There is consensus that sums $S_n={ {Σ}_{k=1}^n R_{0k} e^{i θ_k}}$ of complex exponential terms, despite their mathematical significance, only possess closed-form representations for specific values of n and special values of their parameters and that there are no generally-accepted recursive formulae for their computation. This note is focused on recursive formulae that: (1) provide closed-form analytic representations of $S_n$ for any finite n; (2) include generalizations of the usual formu…

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

Surfaces and Hypersurfaces with Prescribed Radial Mean Curvature
Marcelo Lopes Ferro, Armando M. V. Corro
https://arxiv.org/abs/2510.11669 https://arxiv.or…

Surfaces and Hypersurfaces with Prescribed Radial Mean Curvature
In this work, we provide a local classification of certain special classes of surfaces determined by the prescription of the radial mean curvature in terms of the height and angle functions. Moreover, we introduce a special class of hypersurfaces, and we also provide a local classification of these three-dimensional hypersurfaces whose second mean curvature vanishes. Finally, we present a recursive method for constructing such hypersurfaces, extending the same curvature prescription approach to…

Newton-Okounkov bodies for nested Hilbert schemes
Ian Cavey, Eugene Gorsky, Alexei Oblomkov, Joshua P. Turner
https://arxiv.org/abs/2510.07420 https://arxi…

Newton-Okounkov bodies for nested Hilbert schemes
We study sections of line bundles on the nested Hilbert scheme of points on the affine plane. We describe the spaces of sections in terms of certain ideals introduced by Haiman, and find explicit bases for them by analyzing the trailing terms in some monomial order. As a consequence, we compute the Newton-Okounkov bodies for nested Hilbert schemes.

Many of the details of the agreement reached after 3 days of indirect talks in the Egyptian Red Sea resort of Sharm el-Sheikh remain unclear and challenges of implementing its terms are immense.
But in recent days, negotiators have closed gaps between Hamas and Israel over the details of the first phase of the 21-point plan announced by Trump in the White House last week.
It was not immediately certain whether the parties had made any progress on thornier questions about the futu…

Rethinking How We Discuss the Guidance of Student Researchers in Computing
Shomir Wilson
https://arxiv.org/abs/2510.08885 https://arxiv.org/pdf/2510.08885

Rethinking How We Discuss the Guidance of Student Researchers in Computing
Computing faculty at research universities are often expected to guide the work of undergraduate and graduate student researchers. This guidance is typically called advising or mentoring, but these terms belie the complexity of the relationship, which includes several related but distinct roles. I examine the guidance of student researchers in computing (abbreviated to research guidance or guidance throughout) within a facet framework, creating an inventory of roles that faculty members can hol…

Stability Estimates for Commutativity Properties of the Dirichlet-to-Neumann Operator
Romain Speciel
https://arxiv.org/abs/2510.08822 https://arxiv.org/pdf…

Stability Estimates for Commutativity Properties of the Dirichlet-to-Neumann Operator
The Laplacian $Δ_{\mathbb{S}^{n-1}}$ on the unit sphere $\mathbb{S}^{n-1}\subset \mathbb{R}^n$ has the property that it can explicitly be expressed in terms of $Λ$, the Dirichlet-to-Neumann map of the unit ball, as $Δ_{\mathbb{S}^{n-1}}=Λ^2+(n-2)Λ$. In this paper, we seek to characterize those manifolds for which such an exact relationship holds, and more generally measure the discrepancy of such a relationship holding in terms of geometric data. To this end, we obtain a stability estimate…

Equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroids
Alice L. L. Gao, Yun Li, Matthew H. Y. Xie
https://arxiv.org/abs/2510.11322 https://

Equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroids
In this paper, we focus on the equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroids, a natural family of graphic matroids associated with the complete tripartite graphs $K_{1,1,n}$. These polynomials were introduced by Proudfoot as an extension of the Kazhdan--Lusztig theory for matroids. We derive closed-form expressions for the $\mathfrak{S}_n$-equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroids and present them explicitly in terms of the irreducible rep…

Limit cycles and invariant algebraic curves
Armengol Gasull, Paulo Santana
https://arxiv.org/abs/2510.11705 https://arxiv.org/pdf/2510.11705

Limit cycles and invariant algebraic curves
We give lower bounds in terms of~$n,$ for the number of limit cycles of polynomial vector fields of degree~$n,$ having any prescribed invariant algebraic curve. By applying them when the ovals of this curve are also algebraic limit cycles we obtain a new recurrent property for the Hilbert numbers. Finally, we apply our results to two important families of models: Kolmogorov systems and a general family of systems appearing in Game Theory.

Joint distributions of error terms for primes in arithmetic progressions modulo 11
K\"ubra Benl\.i, Greg Martin, Paul P\'eringuey
https://arxiv.org/abs/2510.05427 https…

Joint distributions of error terms for primes in arithmetic progressions modulo 11
We provide a formula for the logarithmic density of the set of positive real numbers on which two prime counting functions $ψ(x;q,a)$ and $ψ(x;q,b)$ are simultaneously larger than their asymptotic main terms, as well as a method for calculating the numerical values of such densities with rigorously bounded errors. We apply these formulas to the pairwise races in the case $q=11$, determining which pairs of residues $a$ and $b$ are more or less correlated in this way. The outcomes when $q=11$ p…

Asymptotics of the solution of the Cauchy problem for a singularly perturbed system of hyperbolic equations. Part 2. Initial conditions
Andrey Nesterov
https://arxiv.org/abs/2510.12550

Asymptotics of the solution of the Cauchy problem for a singularly perturbed system of hyperbolic equations. Part 2. Initial conditions
An asymptotic small parameter expansion of a single Cauchy problem is constructed for a singularly perturbed system of hyperbolic equations describing vibrations of two rigidly connected strings. Equations (such as generalized Korteweg-de Vriesequations) and initial conditions for the terms of the asymptotic expansion of the solution are determined, and under certain assumptions, the residual term is estimated from the residual.

Cohomology theories in the moduli of ring stacks
Dhilan Lahoti, Deven Manam
https://arxiv.org/abs/2510.09582 https://arxiv.org/pdf/2510.09582

Cohomology theories in the moduli of ring stacks
We show that the natural map from the syntomification of a ring $R$ to the stack of $R$-algebra stacks is fully faithful, answering a question of Drinfeld, and we describe its essential image in terms of underlying monoid stacks. We also give similar statements in the characteristic 0 filtered de Rham, $\ell = p$ étale, and Betti settings.

Trump pardons major drug traffickers despite his anti-drug rhetoric
Donald Trump — who campaigned against America’s worsening drug crisis and promised to crack down on the illegal flow of deadly drugs coming across the border
— has pardoned or granted clemency to at least 10 people for drug-related crimes since the beginning of his second term, according to a Washington Post analysis.
He also granted pardons or commutations to almost 90 others for drug-related crimes duri…

Trump pardons major drug traffickers despite his anti-drug rhetoric
The president has granted clemency to about 100 people accused of drug-related crimes during his two terms in office, a Post analysis shows.

Arithmetic Hirzebruch-Zagier divisors and central derivative values of Rankin-Selberg $L$-functions
Jeanine Van Order
https://arxiv.org/abs/2510.10303 https://

Arithmetic Hirzebruch-Zagier divisors and central derivative values of Rankin-Selberg $L$-functions
We give two distinct proofs of the Gross-Zagier formula in terms of sums of automorphic Green's functions realized as regularized theta lifts, including one involving arithmetic Hirzebruch-Zagier divisors on the Hilbert modular surface $X_0(N) \times X_0(N)$. We then describe applications to the refined conjecture of Birch and Swinnerton-Dyer. Through these calculations, we also describe known and conjectural relations of the central derivative values of Rankin-Selberg $L$-functions that appear…

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

Topological weak containment
Riley Thornton
https://arxiv.org/abs/2510.10882 https://arxiv.org/pdf/2510.10882

Topological weak containment
We build on work of Elek and Zucker and develop a topological analogue of the theory of weak containment. We show that definitions in terms of local patterns, containment in ultra(co)products, and continuous model theory are all equivalent, just as in ergodic theory. And, for actions on Cantor space, we show these are all equivalent to approximate conjugacy. Restricting our attention to Cantor space, we connect this theory to questions about generic actions. We show how the shape of the space…

A classification algorithm for reflexive simplices
Marco Ghirlanda
https://arxiv.org/abs/2510.09131 https://arxiv.org/pdf/2510.09131

A classification algorithm for reflexive simplices
We present a general classification algorithm for reflexive simplices, which allows us to determine all reflexive simplices in dimensions five and six. In terms of algebraic geometry this means that we classify the Gorenstein fake weighted projective spaces in dimensions five and six. As a byproduct of our methods, we obtain explicit formulae for the Picard group and the Gorenstein index of any fake weighted projective space.

$L$-functions of elliptic curves in ring class extensions of real quadratic fields via regularized theta liftings
Jeanine Van Order
https://arxiv.org/abs/2510.10277 https://

$L$-functions of elliptic curves in ring class extensions of real quadratic fields via regularized theta liftings
We derive new integral presentations for central derivative values of $L$-functions of elliptic curves defined over the rationals, basechanged to a real quadratic field $K$, twisted by ring class characters of $K$ in terms of sums along ``geodesics" corresponding to the class group of $K$ of automorphic Green's functions for certain Hirzebruch-Zagier-like arithmetic divisors on Hilbert modular surfaces. We also relate these sums to Birch-Swinnerton-Dyer constants and periods.

Iterated sumset expansion in $\mathbb{F}_p^n$
Manik Dhar, Sammy Luo
https://arxiv.org/abs/2510.08857 https://arxiv.org/pdf/2510.08857

Iterated sumset expansion in $\mathbb{F}_p^n$
Given a set $A \subseteq \mathbb{F}_p^n$, what conditions does one need to guarantee that iterated sumsets of the form $A+\cdots+A$ expand quickly (say, within $O(p)$ terms) to the whole space? When only the size of $A$ is known, such expansion results are only possible when $|A|>\frac{1}{p}|\mathbb{F}_p^n|$. However, heuristic considerations suggest that expansion should begin with much smaller sets under just mild ``nondegeneracy'' conditions. In this paper, we confirm thi…

Extreme events and impact statistics for unipotent actions on the space of lattices
Jens Marklof, Andreas Str\"ombergsson, Shucheng Yu
https://arxiv.org/abs/2510.11371 http…

Extreme events and impact statistics for unipotent actions on the space of lattices
This paper extends a recent extreme value law for horocycle flows on the space of two-dimensional lattices, due to Kirsebom and Mallahi-Karai, to the simplest examples of rank-$k$ unipotent actions on the space of $n$-dimensional lattices. We analyse the problem in terms of the hitting time and impact statistics for the unipotent action with respect to a shrinking surface of section, following the strategy of Pollicott and the first named author in the case of hyperbolic surfaces. If $k=n-1$, t…

An alternative proof of the asymptotic formula for the Fourier coefficients of the elliptic modular $j$-function
Karin Ikeda
https://arxiv.org/abs/2510.10598 https://

An alternative proof of the asymptotic formula for the Fourier coefficients of the elliptic modular $j$-function
In 1997, Báez-Duarte gave a probabilistic proof of the asymptotic formula for the partition function, which had originally been proved by Hardy-Ramanujan. Based on the probabilistic approach, this paper proves an asymptotic formula for the coefficients of the elliptic modular $j$-function using various expressions in terms of modular functions having simple infinite products.

At OpenAI's DevDay, Sam Altman and Jony Ive spoke in vague terms about the "family of devices" currently under development; Altman says "it will take a while" (Wired)
https://www.wired.com/story/sam-altman-and-jony-ives-ai-device-dev-day/

Jony Ive Says He Wants His OpenAI Devices to ‘Make Us Happy’
“I don’t think we have an easy relationship with our technology at the moment,” the former Apple designer said at OpenAI’s developer conference in San Francisco on Monday.

Kronecker second limit formula for real quadratic fields
YoungJu Choie, Rahul Kumar
https://arxiv.org/abs/2510.10554 https://arxiv.org/pdf/2510.10554

Kronecker second limit formula for real quadratic fields
In this paper, the second Kronecker ``limit" formula for a real quadratic field is established for the first time. More precisely, we obtain the second Kronecker limit formula of Zagier's zeta function. Using the reduction theory of Zagier, which connects Zagier's zeta function to the zeta function of real quadratic fields, we express the values of the zeta function of narrow ideal classes in real quadratic fields at natural arguments in terms of an analytic function which we call the \emph{hig…

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.