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xAI co-founder Igor Babuschkin, who led its engineering teams, says he is leaving the company to launch a venture firm that supports AI research and startups (Maxwell Zeff/TechCrunch)
https://techcrunch.com/2025/08/13/co-founder-of-elon-musks-xai-departs-t…

Co-founder of Elon Musk's xAI departs the company | TechCrunch
Igor Babuschkin is leaving xAI less than three years after he co-founded the startup with Elon Musk, following a series of scandals at company.

To the genocide-loving German from mastodon.social who reported @… for being antisemitic:
Fuck you, you genocide-loving piece of shit, opposing genocide isn’t antisemitism. What you’re doing – conflating being anti-genocide with being antisemitic – is the greatest antisemitism as you’re de facto stating that all Jews are pro-genocide.

I am astonished that the #Auschwitz-Birkenau Museum and Memorial
https://www.auschwitz.org/en/
still supports or at least has an account on X (Twitter). They have at least one account here. @…
I have written them to express my dismay and have urged them to drop their X account with no response. I believe that it would help if as many of us as possible would write them to express your feelings about this.
https://www.auschwitz.org/en/contact/
Please boost.

China pledges deeper support for Russia amid Trump tariff threats: https://benborges.xyz/2025/07/15/china-pledges-deeper-support-for.html

An inverse problem on a metric graph with cycle
Sergei Avdonin, Julian Edward
https://arxiv.org/abs/2508.10121 https://arxiv.org/pdf/2508.10121

An inverse problem on a metric graph with cycle
Consider a quantum graph consisting of a ring with two attached edges, and assume Kirchhoff-Neumann conditions hold at the internal vertices. Associated to this graph is a Schrödinger type operator $L=-Δ+q(x)$ with Dirichlet boundary conditions at the two boundary nodes. Let $\{ ω_n^2, \ φ_n(x)\}$ be the eigenvalues and associated normalized eigenfunctions. Let $v_1$ be a boundary vertex, and $v_2$ the adjacent internal vertex. Assume we know the following data: $\{ ω_n^2,\partial_x φ_n(v…

Improved sampling algorithms and Poincar\'e inequalities for non-log-concave distributions
Yuchen He, Zhehan Lei, Jianan Shao, Chihao Zhang
https://arxiv.org/abs/2507.11236

Improved sampling algorithms and Poincaré inequalities for non-log-concave distributions
We study the problem of sampling from a distribution $μ$ with density $\propto e^{-V}$ for some potential function $V:\mathbb R^d\to \mathbb R$ with query access to $V$ and $\nabla V$. We start with the following standard assumptions: (1) The potential function $V$ is $L$-smooth. (2) The second moment $\mathbf{E}_{X\sim μ}[\|X\|^2]\leq M$. Recently, He and Zhang (COLT'25) showed that the query complexity of sampling from such distributions is at least $\left(\frac{LM}{dε}\rig…

Generalized ODE reduction algorithm with bounded degree transformation
Shaoxuan Huang
https://arxiv.org/abs/2508.09754 https://arxiv.org/pdf/2508.09754

Generalized ODE reduction algorithm with bounded degree transformation
As a generalization of our previous result\cite{huang2025algorithm}, this paper aims to answer the following question: Given a 2-dimensional polynomial vector field $y^{\prime}=\frac{M(x,y)}{N(x,y)}$, how to find a rational transformation $y \to \frac{A(x,y)}{B(x,y)}$ with bounded degree numerator, the inverse of which transforms this vector field into a simpler form $y^{\prime}=\sum_{i=0}^nf_i(x)y^i$. Such a structure, often known as the generalized Abel equation and has been studied in variou…

A judge rules Don Lemon's lawsuit against Elon Musk and X can proceed to trial, after Musk canceled a $1.5M/year exclusive X content deal with Lemon in 2024 (Alex Welch/The Wrap)
https://www.thewrap.com/don-lemon-elon-musk-x-lawsuit-moving-to-tria…

Don Lemon's Lawsuit Against Elon Musk Can Go to Trial Following Pivotal Court Ruling
Former CNN journalist Don Lemon's lawsuit against Elon Musk and the Tesla CEO's social media platform X will be allowed to go to trial.

Global existence and boundedness in an attraction-repulsion chemotaxis system with nonlocal logistic source and sublinear productions
Gnanasekaran Shanmugasundaram, Nithyadevi Nagarajan
https://arxiv.org/abs/2507.08305

Global existence and boundedness in an attraction-repulsion chemotaxis system with nonlocal logistic source and sublinear productions
This paper deals with the following attraction-repulsion chemotaxis system with nonlocal logistic source and sublinear productions \begin{align} \left\{ \begin{array}{rrll} &&u_t = d_1 Δu-χ\nabla\cdot(u^k \nabla v)+ξ\nabla\cdot(u^k \nabla w)+ μu^m \left(1-\int_Ωu(x,t)\dx\right),\hspace*{0.5cm} &x\inΩ,\, t>0,\\ &&v_t = d_2 Δv-αv+f(u), &x\inΩ,\, t>0,\\ &&w_t = d_3 Δw-βw+f(u), &x\inΩ,\, t>0,\\ &&\frac{\partial u}{\partialν} = \frac{\partial v}{\partialν} = \frac{\partial …