Tootfinder

Every now and then I open my junk drawers (yes, plural) and look at what I have there. While it’s mostly old cables and chargers, there’s enough other stuff that I think «I should go through all that stuff. Someday.» And then I put things back and close it up again…

Do you compose or publish music in the UK? 'Call for composers and publishers to deposit digital scores' with the British Library and other legal deposit libraries? https://www.bl.uk/stories/blogs/posts/call-for-composers-and-pub…

Call for composers and publishers to deposit digital scores
Help us to collect digital scores from composers and independent publishers.

I guess I’m going to get to know the peeps at Norfolk Police quite well over the next few months. https://www.theguardian.com/society/2025/dec/14/public-should-heed-forthcoming-rules-on-single-sex-spaces-says-uk-equ…

<reads headline>
<opens meme folder>

I love a good news story about agrivoltaics (farming under solar panels) - let's hope it does take off! https://www.bbc.co.uk/news/articles/c2en1yyp4d9o

Will farming under solar panels take off?
Farming under solar panels is still in the early stages in India, but will it catch on?

Mean-square and linear convergence of a stochastic proximal point algorithm in metric spaces of nonpositive curvature
Nicholas Pischke
https://arxiv.org/abs/2510.10697 https://

Mean-square and linear convergence of a stochastic proximal point algorithm in metric spaces of nonpositive curvature
We define a stochastic variant of the proximal point algorithm in the general setting of nonlinear (separable) Hadamard spaces for approximating zeros of the mean of a stochastically perturbed monotone vector field and prove its convergence under a suitable strong monotonicity assumption, together with a probabilistic independence assumption and a separability assumption on the tangent spaces. As a particular case, our results transfer previous work by P. Bianchi on that method in Hilbert space…

Some capacitary strong type inequalities and related function spaces
Keng Hao Ooi, Nguyen Cong Phuc
https://arxiv.org/abs/2510.08982 https://arxiv.org/pdf/…

Some capacitary strong type inequalities and related function spaces
We verify a conjecture of D. R. Adams on a capacitary strong type inequality that generalizes the classical capacitary strong type inequality of V. G. Maz'ya. As a result, we characterize related function spaces as Köthe duals to a class of Sobolev multiplier type spaces. Moreover, using tools from nonlinear potential theory, weighted norm inequalities, and Banach function space theory, we show that these spaces are also isomorphic to more concrete spaces that are easy to use and fit in well w…

Counter Examples in Non-Archimedean Locally Convex Spaces
M. E. Egwe, J. A Braimah
https://arxiv.org/abs/2510.09626 https://arxiv.org/pdf/2510.09626…

Counter Examples in Non-Archimedean Locally Convex Spaces
In this paper, we shall consider some counter examples in non-archimedean locally convex spaces with special closed subspaces and Schauder basis in non-archimedean Fréchet spaces as well as closed subspaces \emph{without} Schauder basis in non-archimedean Fréchet spaces.

Farvel til Amerika | Klassekampen https://klassekampen.no/artikkel/2025-12-13/farvel-til-amerika/uUyr
Noen av oss har Ÿnsket å være mindre avhengig av USA siden 80-tallet da Reagan var president…

Farvel til Amerika
USA kjem aldri til å bli det same igjen. Vi må innsjå det og kople oss fri frå vår viktigaste allierte, seier utanriksforskar og diplomat Henrik Thune.

Totally paracompact spaces and the Menger covering property
Davide Giacopello, Maddalena Bonanzinga, Piotr Szewczak
https://arxiv.org/abs/2511.10252 https://arxiv.org/pdf/2511.10252 https://arxiv.org/html/2511.10252
arXiv:2511.10252v1 Announce Type: new
Abstract: A topological space is totally paracompact if any base of this space contains a locally finite subcover. We focus on a problem of Curtis whether in the class of regular Lindel\"of spaces total paracompactness is equivalent to the Menger covering property. To this end we consider topological spaces with certain dense subsets. It follows from our results that the above equivalence holds in the class of Lindel\"of GO-spaces defined on subsets of reals. We also provide a game-theoretical proof that any regular Menger space is totally paracompact and show that in the class of first-countable spaces the Menger game and a partial open neighborhood assignment game of Aurichi are equivalent. We also show that if $\mathfrak{b}=\omega_1$, then there is an uncountable subspace of the Sorgenfrey line whose all finite powers are Lindel\"of, which is a strengthening of a famous result due to Michael.
toXiv_bot_toot

Rough isometry between Gromov hyperbolic spaces and unbounded uniformization
Vasudevarao Allu, Alan P Jose
https://arxiv.org/abs/2510.11114 https://arxiv.o…

Rough isometry between Gromov hyperbolic spaces and unbounded uniformization
In a recent paper, Zhou, Ponnusamy, and Rasila [Math. Nachr. (2025)] have established that the conformal deformations, with parameter $ε>0$, of a Gromov hyperbolic space via Busemann functions are uniform spaces for sufficiently small $ε$. In this paper, we demonstrate that if two proper, roughly starlike Gromov hyperbolic spaces are roughly isometric, then the uniformity of their conformal deformations is a simultaneous property; that is, either both are uniform spaces or neither is. Our res…

Moduli spaces of generalised tautological bundles on Hilbert schemes
Andreas Krug, Fabian Reede, Ziyu Zhang
https://arxiv.org/abs/2510.11298 https://arxiv.…

Moduli spaces of generalised tautological bundles on Hilbert schemes
We construct new stable vector bundles on Hilbert schemes of points on algebraic surfaces, which are parametrised by connected components of their moduli spaces. This work generalises aspects of our previous work on tautological bundles and of recent work of O'Grady.

Without real vector spaces all regulators are rational
Oliver Braunling
https://arxiv.org/abs/2510.10816 https://arxiv.org/pdf/2510.10816

Without real vector spaces all regulators are rational
Every LCA group has a Haar measure unique up to rescaling by a positive scalar. Clausen has shown that the Haar measure describes the universal determinant functor of the category LCA in the sense of Deligne. We show that when only working with LCA groups without allowing real vector spaces, any conceivable determinant functor is unique up to rescaling by at worst rational values. As a result, no transcendental real nor p-adic regulators could ever show up in special L-value conjectures (as in …

Remarks on the dimension of the $p$-Bergman spaces
Shreedhar Bhat, Achinta Kumar Nandi
https://arxiv.org/abs/2510.10098 https://arxiv.org/pdf/2510.10098

Remarks on the dimension of the $p$-Bergman spaces
The investigation of the dimension of Bergman spaces has long been a central topic in several complex variables, uncovering profound connections with potential theory and function theory since the pioneering work of Carleson, Weigerinck, and others in the 1960s. We investigate the dimension of $p$-Bergman spaces associated with pseudoconvex domains in $\mathbb{C}^n$. By constructing $L^p$-versions of the extension theorems of Ohsawa and Ohsawa-Takegoshi, we establish several geometric and poten…

Geodesic Calculus on Latent Spaces
Florine Hartwig, Josua Sassen, Juliane Braunsmann, Martin Rumpf, Benedikt Wirth
https://arxiv.org/abs/2510.09468 https://

Geodesic Calculus on Latent Spaces
Latent manifolds of autoencoders provide low-dimensional representations of data, which can be studied from a geometric perspective. We propose to describe these latent manifolds as implicit submanifolds of some ambient latent space. Based on this, we develop tools for a discrete Riemannian calculus approximating classical geometric operators. These tools are robust against inaccuracies of the implicit representation often occurring in practical examples. To obtain a suitable implicit represent…

A family of non-simple surfaces whose transport twistor spaces admit global blow-down maps
Fran\c{c}ois Monard, Zhengyi Qi
https://arxiv.org/abs/2510.09518 https://

A family of non-simple surfaces whose transport twistor spaces admit global blow-down maps
In the literature on X-ray transform and Transport Twistor (TT) spaces, blow-down maps (or maps with holomorphic blow-down structure as defined in [BMP24]) are maps that desingularize the degenerate complex structure of the TT space of an oriented Riemannian surface, while collapsing (yet separating) geodesics of the unit tangent bundle of that surface. Such maps were originally constructed in [BMP24] for near-constant curvature simple surfaces, showing that the interior of their TT space is bi…

Higher H\"older regularity for degenerate elliptic PDEs with data in Morrey spaces
Giuseppe Di Fazio, Rafayel Teymurazyan, Jos\'e Miguel Urbano
https://arxiv.org/abs/2510.10359

Higher Hölder regularity for degenerate elliptic PDEs with data in Morrey spaces
We establish sharp local $C^{1,α}$-regularity for weak solutions to degenerate elliptic equations of $p$-Laplacian type with data in Morrey spaces. The proof relies on the Fefferman-Phong inequality and standard tools from regularity theory for nonlinear PDEs.

Reweighting metric measure spaces and Onsager-Machlup
Zachary Selk
https://arxiv.org/abs/2510.10591 https://arxiv.org/pdf/2510.10591

Reweighting metric measure spaces and Onsager-Machlup
Given a metric measure space $M:=(X,d,μ)$ the Onsager-Machlup (OM) functional is a real valued function that has been seen as a generalized notion of a probability density function. The effect of reweighting the measure on OM functionals has been studied, however analogous reweightings of the metric to the best of our knowledge remain open. In this short note, we prove a transformation formula for OM functionals on geodesic metric measure spaces under reweighting of both the metric and the mea…

Krig er fred, slaveri er frihet og uvitenhet er styrke | Klassekampen https://klassekampen.no/artikkel/2025-12-13/krig-er-fred-slaveri-er-frihet-og-uvitenhet-er-styrke/tgWX

Krig er fred, slaveri er frihet og uvitenhet er styrke
Årets fredsprisutdeling ble en studie i historisk retusjering og politisk mytedanning.

Dank #Windows11 werden heute Millionen einwandfreier Geräte als Elektroschrott deklariert - und viele weitere Trott nomineller Kompatibilität zu langsam für die tägliche Arbeit.
Dahinter steht auch Politikversagen: Die EU sollte Hersteller von Betriebssystemen dazu zwingen, beim Supportende Alternativen installierbar zu machen, ähnlich wie bei Browsern und Suchmaschinen.
"Dies…

Distributed clustering in partially overlapping feature spaces
Alessio Maritan, Luca Schenato
https://arxiv.org/abs/2510.09799 https://arxiv.org/pdf/2510.0…

Distributed clustering in partially overlapping feature spaces
We introduce and address a novel distributed clustering problem where each participant has a private dataset containing only a subset of all available features, and some features are included in multiple datasets. This scenario occurs in many real-world applications, such as in healthcare, where different institutions have complementary data on similar patients. We propose two different algorithms suitable for solving distributed clustering problems that exhibit this type of feature space heter…

The ideas that finally bubbled up to the surface in The Point of No Return last night have been festering in the back of my brain for months. Because, although it's a bit inchoate, it's only saying out loud what most of us already know.
The job now is no longer to turn the ship around. We don't have the wheel, and those who do will not listen.
The task now is to build lifeboats. To build resilient spaces in which fragments of humanity can survive.

The Point of No Return
I can't stop climate change by myself. I can't create a sustainable future for my village by myself. To do either of these things, everyone else needs to work together. But badgering people, being frustrated with people, being angry with people (and yes, I am angry — very angry — with people I know, and like, and respect, very much) doesn't motivate them to work together. My very frustration, my very sense of urgency, makes me a liability. I should stop.

Learning Operators through Coefficient Mappings in Fixed Basis Spaces
Chuqi Chen, Yang Xiang, Weihong Zhang
https://arxiv.org/abs/2510.10350 https://arxiv.…

Learning Operators through Coefficient Mappings in Fixed Basis Spaces
Operator learning has emerged as a powerful paradigm for approximating solution operators of partial differential equations (PDEs) and other functional mappings. \textcolor{red}{}{Classical approaches} typically adopt a pointwise-to-pointwise framework, where input functions are sampled at prescribed locations and mapped directly to solution values. We propose the Fixed-Basis Coefficient to Coefficient Operator Network (FB-C2CNet), which learns operators in the coefficient space induced by pres…

Do you want to stop putting dots or some random stuff in forms to skip required fields? The website is too smart and rejects all #Unicode spaces?
You can always use a U 200E Left-To-Right Mark.

AI Is Supercharging the War on Libraries, Education, and Human Knowledge https://www.404media.co/ai-is-supercharging-the-war-on-libraries-education-and-human-knowledge/

AI Is Supercharging the War on Libraries, Education, and Human Knowledge
"Fascism and AI, whether or not they have the same goals, they sure are working to accelerate one another."

On the Coarse Lusternik-Schnirelmann Category of Groups
Aditya De Saha
https://arxiv.org/abs/2510.10367 https://arxiv.org/pdf/2510.10367

On the Coarse Lusternik-Schnirelmann Category of Groups
We introduce a coarse analog of the classical Lusternik-Schnirelmann category which we denote by $\text{c-cat}$, defined for metric spaces in the coarse homotopy category. This provides a new tool for studying large-scale topological properties of groups and spaces. We establish that $\text{c-cat}$ is a coarse homotopy invariant and prove a lower-bound $\text{p-cat}(Γ)\leq \text{c-cat}(Γ)$ for geometrically finite groups $Γ$, where $\text{p-cat}$ denotes the proper LS-category introduced in …

Robustly transitive maps with critical points and large dimensional central spaces
Juan C. Morelli
https://arxiv.org/abs/2510.10722 https://arxiv.org/pdf/2…

Robustly transitive maps with critical points and large dimensional central spaces
Given any triplet of positive integers $n \geq 2$, $m$ and $k$ such that $n=m+k$, we exhibit a $C^1$ robustly transitive endomorphism of $\mathbb{T}^n$ with persistent critical points in the isotopy class of $F \times Id$, where $F$ is an expanding map of $\mathbb{T}^m$ and $Id$ is the identity of $\mathbb{T}^k$. Furthermore, if $k$ is small, the map is not only in the isotopy class but in fact a perturbation of $F \times Id$.

The isomorphism problem for finitely generated bi-orderable groups
Filippo Calderoni, Adam Clay
https://arxiv.org/abs/2510.10673 https://arxiv.org/pdf/2510…

The isomorphism problem for finitely generated bi-orderable groups
We analyze the classification problem for finitely generated orderable groups from the viewpoint of descriptive set theory. We define the space of finitely generated left-orderable groups, and the subspace of finitely generated bi-orderable groups using spaces of relative cones, and show that both spaces are Polish. We use this setup to show that the isomorphism relation on the space of finitely generated bi-orderable groups is weakly universal.

Semitoric Families on Pentagon Spaces
Yichen Liu, Aerim Si
https://arxiv.org/abs/2510.11624 https://arxiv.org/pdf/2510.11624…

Semitoric Families on Pentagon Spaces
Semitoric systems are a special type of 4-dimensional integrable system where one of the functions is the moment map of a Hamiltonian $S^1$-action. These systems were classified by Pelayo and V{ũ} Ng\d{o}c, but there are not many explicit examples. Recently, Le Floch and Palmer introduced semitoric transition families in which a singular point transitions between elliptic-elliptic type and focus-focus type as the parameter varies. In this paper, we construct semitoric transition families on pe…

From amoebas to pluripotential theory on hybrid analytic spaces
Sebastien Boucksom
https://arxiv.org/abs/2510.10239 https://arxiv.org/pdf/2510.10239…

From amoebas to pluripotential theory on hybrid analytic spaces
These lecture notes are an introduction to the use of non-Archimedean geometry in the study of meromorphic degenerations of complex algebraic varieties. They provide a self-contained discussion of hybrid spaces, which fill in one-parameter degenerations with the associated non-Archimedean Berkovich space as a central fiber. The main focus is on the interplay between complex and non-Archimedean pluripotential theory, and on the relation between convergence of psh metrics and the associated Monge…

🇺🇦 #NowPlaying on BBCRadio3's #NewMusicShow
Martin Brandlmayr:
🎵 Intersticial Spaces - part 2 (excerpt)
#MartinBrandlmayr
https://open.spotify.com/track/2HvA1h0k5vfEvBjJakKdiA
Please 🔁 BOOST to share what you like
- your followers don't see if you ⭐ favourite a post

Longest paths in trees and isometricity of ultrametric spaces
Oleksiy Dovgoshey, Olga Rovenska
https://arxiv.org/abs/2510.10038 https://arxiv.org/pdf/2510.…

Longest paths in trees and isometricity of ultrametric spaces
Let $T$ be a tree of arbitrary finite or infinite order and let $U(T)$ be the set of all ultrametric spaces generated by vertex labelings of $T$. Let ${\bf US}$ denote the class of all ultrametric spaces generated by vertex labelings of star graphs. We prove that the inclusion $U(T)\subseteq {\bf US}$ holds if and only if the longest path in $T$ has a length not exceeding three.

This kinda thing is why I've lived overseas for 24 years but Melbourne is still my home town
From: @…
https://aus.social/@perkinsy/1155411802945…

This, from Marc Brooker, seems self-evident to me: “AI is going to be most effective in problem spaces where there are what the authors call reliable verifiers.” For example, quality test suites and benchmarks. https://brooker.co.za/blog/2025/10/12/barbarians.html

Spectral Properties of the Compact Rhaly and Compact Generalised Ces{\`a}ro Operators on Weighted $c_0$ Spaces
Jyoti Rani, Arnab Patra
https://arxiv.org/abs/2510.10550 https://

Spectral Properties of the Compact Rhaly and Compact Generalised Ces{à}ro Operators on Weighted $c_0$ Spaces
In this article, we conduct a comprehensive study on the continuity, compactness, and spectral properties of Rhaly operators and generalized Cesàro operators, acting on weighted null sequence spaces. We determine the point spectrum, continuous spectrum, and residual spectrum for compact Rhaly operators and compact generalized Cesàro operators. Additionally, we explore Goldberg's classifications of Rhaly operators over weighted null sequence spaces.

Unequal access to nature: Few outdoor spaces in Europe and the U.S. accommodate sensory, mental disabilities https://news.mongabay.com/2025/12/unequal-access-to-nature-few-outdoor-spaces-in-europe-and-the-…

Unequal access to nature: Few outdoor spaces in Europe and the U.S. accommodate sensory, mental disabilities
Sprawled along the Pacific coastline near San Francisco, Golden Gate National Recreation Area is full of wildflowers, beaches, and old-growth coastal redwoods, shrouded with a thin layer of marine fog that dissipates in sunlight. Visitors fish, hike, camp, and surf, the temperate climate and ocean views providing a boost to their mental and physical health. […]

Diffusion Transformers with Representation Autoencoders
Boyang Zheng, Nanye Ma, Shengbang Tong, Saining Xie
https://arxiv.org/abs/2510.11690 https://arxiv.…

Diffusion Transformers with Representation Autoencoders
Latent generative modeling, where a pretrained autoencoder maps pixels into a latent space for the diffusion process, has become the standard strategy for Diffusion Transformers (DiT); however, the autoencoder component has barely evolved. Most DiTs continue to rely on the original VAE encoder, which introduces several limitations: outdated backbones that compromise architectural simplicity, low-dimensional latent spaces that restrict information capacity, and weak representations that result f…

Towards Fock Spaces in Hypercomplex Analysis
Kamal Diki
https://arxiv.org/abs/2510.10688 https://arxiv.org/pdf/2510.10688

Towards Fock Spaces in Hypercomplex Analysis
The Bargmann-Fock space(or Fock space for short) is a fundamental example of reproducing kernel Hilbert spaces that has found fascinating applications across multiple fields of current interest, including quantum mechanics, time-frequency analysis, mathematical analysis, and stochastic processes. In recent years, there has been increased interest in studying counterparts of the Fock space and related topics in hypercomplex analysis. This chapter presents a survey exploring various aspects of th…

Nope. No aurora to see here.

🕶️ Meta launches Hyperscape, technology to turn real-world spaces into VR
https://techcrunch.com/2025/09/17/meta-launches-hyperscape-technology-to-turn-real-world-spaces-into-vr/

Meta launches Hyperscape, technology to turn real-world spaces into VR | TechCrunch
Quest device owners will be able to scan a room in a few minutes, then turn it into an immersive and photorealistic world that's like a digital replica of a real-world space.

Computable Bases
Vasco Brattka, Emmanuel Rauzy
https://arxiv.org/abs/2510.09850 https://arxiv.org/pdf/2510.09850 …

Computable Bases
In computable analysis typically topological spaces with countable bases are considered. The Theorem of Kreitz-Weihrauch implies that the subbase representation of a second-countable $T_0$ space is admissible with respect to the topology that the subbase generates. We consider generalizations of this setting to bases that are representable, but not necessarily countable. We introduce the notions of a computable presubbase and a computable prebase. We prove a generalization of the Theorem of Kre…

Adaptive Motion Planning via Contact-Based Intent Inference for Human-Robot Collaboration
Jiurun Song, Xiao Liang, Minghui Zheng
https://arxiv.org/abs/2510.08811 https://…

Adaptive Motion Planning via Contact-Based Intent Inference for Human-Robot Collaboration
Human-robot collaboration (HRC) requires robots to adapt their motions to human intent to ensure safe and efficient cooperation in shared spaces. Although large language models (LLMs) provide high-level reasoning for inferring human intent, their application to reliable motion planning in HRC remains challenging. Physical human-robot interaction (pHRI) is intuitive but often relies on continuous kinesthetic guidance, which imposes burdens on operators. To address these challenges, a contact-inf…

A Representer Theorem for Hawkes Processes via Penalized Least Squares Minimization
Hideaki Kim, Tomoharu Iwata
https://arxiv.org/abs/2510.08916 https://ar…

A Representer Theorem for Hawkes Processes via Penalized Least Squares Minimization
The representer theorem is a cornerstone of kernel methods, which aim to estimate latent functions in reproducing kernel Hilbert spaces (RKHSs) in a nonparametric manner. Its significance lies in converting inherently infinite-dimensional optimization problems into finite-dimensional ones over dual coefficients, thereby enabling practical and computationally tractable algorithms. In this paper, we address the problem of estimating the latent triggering kernels--functions that encode the interac…

N-output Mechanism: Estimating Statistical Information from Numerical Data under Local Differential Privacy
Incheol Baek, Yon Dohn Chung
https://arxiv.org/abs/2510.11116 https:/…

N-output Mechanism: Estimating Statistical Information from Numerical Data under Local Differential Privacy
Local Differential Privacy (LDP) addresses significant privacy concerns in sensitive data collection. In this work, we focus on numerical data collection under LDP, targeting a significant gap in the literature: existing LDP mechanisms are optimized for either a very small ($|Ω| \in \{2, 3\}$) or infinite output spaces. However, no generalized method for constructing an optimal mechanism for an arbitrary output size $N$ exists. To fill this gap, we propose the \textbf{N-output mechan…

General Chen's first inequality and applications for Riemannian maps
Ravindra Singh, Kiran Meena, Kapish Chand Meena
https://arxiv.org/abs/2510.10505 https://

General Chen's first inequality and applications for Riemannian maps
In this paper, we present a general form of Chen's first inequality (in short, CFI) for Riemannian maps between Riemannian manifolds. Further, using this general form, we obtain the CFI for Riemannian maps when target spaces are generalized complex and generalized Sasakian space forms. Consequently, we also obtain the CFI for Riemannian maps when the target spaces are real, complex, real Kähler, Sasakian, Kenmotsu, cosymplectic, and almost $C(α)$ space forms. Moreover, we also discuss geometr…

Boundary behavior of analytic functions on certain Banach spaces
Hector N. Salas
https://arxiv.org/abs/2510.10373 https://arxiv.org/pdf/2510.10373

Boundary behavior of analytic functions on certain Banach spaces
For Banach spaces of analytic functions on the disc for which the polynomials are dense and their pointt evaluations continuous, we prove the following: If they contain a function such that the limit superior of its modulus is infinite almost everywhere on the unit circle, then the same is true for a residual set of functions.

Intersection cohomology without spaces
Tom Braden, Nicholas Proudfoot
https://arxiv.org/abs/2510.09488 https://arxiv.org/pdf/2510.09488

Intersection cohomology without spaces
We survey three settings in which dimensions of intersection cohomology groups of algebraic varieties provide deep combinatorial and representation-theoretic information, and computations of the groups themselves have been made using combinatorial sheaves on finite posets. These settings are (1) intersection cohomology of Schubert varieties, the associated Kazhdan-Lusztig polynomials and their realizations via moment graph sheaves and Soergel bimodules; (2) intersection cohomology of toric vari…

Metric Topologies on Multiset Spaces as Topological Monoids and Their Group Completion
Donghan Kim
https://arxiv.org/abs/2510.10080 https://arxiv.org/pdf/2…

Metric Topologies on Multiset Spaces as Topological Monoids and Their Group Completion
We construct a multiset space $\mathbb{N}[X]$ over a metric space $X$ that simultaneously enjoys desirable topological properties and admits a natural matching metric $d_{\mathbb{N}[X]}$, making it a metrizable abelian topological monoid whose structure is compatible with the original metric on $X$. This framework extends naturally to the free abelian group $\mathbb{Z}[X]$, where a metric $d_{\mathbb{Z}[X]}$ induces a metrizable abelian topological group structure. We further identify the metri…

Hardy spaces for the Lam\'e equation
Juan Antonio Barcel\'o, Salvador Per\'ez-Esteva, Emilio Marmolejo-Olea, Mari Cruz Vilela
https://arxiv.org/abs/2510.10798 https:…

Hardy spaces for the Lamé equation
We study, for $1 \leq p \leq \infty$, the Hardy space $\bm{h}_e^p(\B)$, the elastic analogue of the classical Hardy spaces of harmonic functions in the unit ball of $\mathbb{R}^3$. The space consists of vector-field solutions of the Lamé system satisfying the standard integrability condition on concentric spheres centered at the origin. Using the elastic Poisson kernel, we establish a Fatou-type theorem and show that $\bm{h}_e^p(\B)$ is isomorphic to the $\mathbb{R}^3$-valued Lebesgue space $L…

'Our research suggests large language models exhibit parahuman responses to persuasion techniques, despite not being human. This suggests that social scientists have a valuable role to play in understanding AI behavior.' https://gail.wharton.upenn.edu/researc

Call Me A Jerk: Persuading AI to Comply with Objectionable Requests

Who Said Neural Networks Aren't Linear?
Nimrod Berman, Assaf Hallak, Assaf Shocher
https://arxiv.org/abs/2510.08570 https://arxiv.org/pdf/2510.08570

Who Said Neural Networks Aren't Linear?
Neural networks are famously nonlinear. However, linearity is defined relative to a pair of vector spaces, $f$$:$$X$$\to$$Y$. Is it possible to identify a pair of non-standard vector spaces for which a conventionally nonlinear function is, in fact, linear? This paper introduces a method that makes such vector spaces explicit by construction. We find that if we sandwich a linear operator $A$ between two invertible neural networks, $f(x)=g_y^{-1}(A g_x(x))$, then the corresponding vector spaces $…

Replaced article(s) found for math.SG. https://arxiv.org/list/math.SG/new
[1/1]:
- Non-decomposable Lagrangian cobordisms between Legendrian knots
Roman Golovko, Daniel Kom\'arek
https://arxiv.org/abs/2511.08731 https://mastoxiv.page/@arXiv_mathSG_bot/115541377678336506
- Spaces of Legendrian cables and Seifert fibered links
Eduardo Fern\'andez, Hyunki Min
https://arxiv.org/abs/2310.12385 https://mastoxiv.page/@arXiv_mathGT_bot/111265563434686287
- Almost Hermitian structures on virtual moduli spaces of non-Abelian monopoles and applications to...
Paul M. N. Feehan, Thomas G. Leness
https://arxiv.org/abs/2410.13809 https://mastoxiv.page/@arXiv_mathDG_bot/113327305560976416
- Quantum cohomology, shift operators, and Coulomb branches
Ki Fung Chan, Kwokwai Chan, Chin Hang Eddie Lam
https://arxiv.org/abs/2505.23340 https://mastoxiv.page/@arXiv_mathAG_bot/114595582234065991
- One application of Duistermaat-Heckman measure in quantum information theory
Lin Zhang, Xiaohan Jiang, Bing Xie
https://arxiv.org/abs/2507.02369 https://mastoxiv.page/@arXiv_quantph_bot/114794376818737255
toXiv_bot_toot

Israel and Its Leaders Are Still on Trial for Genocide https://jacobin.com/2025/12/israel-gaza-genocide-icj-icc/

Israel and Its Leaders Are Still on Trial for Genocide
Western states would like to move on as if the Gaza genocide never happened, even though Israel is still terrorizing the Palestinian people. But the legal cases holding Israel and its leaders accountable are going ahead despite their best efforts.

Das hat mit dem Beutelsbacher Konsens nichts zu tun, das ist einfach nur Kulturkampf aus allen Rohren. Künftig dann statt Heinrich-Böll- oder Geschwister-Scholl-Schulen lieber Hindenburg- und Von-Papen-Gymnasien. In welchen sich die Lehrer gefälligst GAR NICHT mehr zum Thema Politik in irgendeiner Weise äußern. #FediLZ

Flow-Opt: Scalable Centralized Multi-Robot Trajectory Optimization with Flow Matching and Differentiable Optimization
Simon Idoko, Arun Kumar Singh
https://arxiv.org/abs/2510.09204

Flow-Opt: Scalable Centralized Multi-Robot Trajectory Optimization with Flow Matching and Differentiable Optimization
Centralized trajectory optimization in the joint space of multiple robots allows access to a larger feasible space that can result in smoother trajectories, especially while planning in tight spaces. Unfortunately, it is often computationally intractable beyond a very small swarm size. In this paper, we propose Flow-Opt, a learning-based approach towards improving the computational tractability of centralized multi-robot trajectory optimization. Specifically, we reduce the problem to first lear…

Distributionally robust approximation property of neural networks
Mihriban Ceylan, David J. Pr\"omel
https://arxiv.org/abs/2510.09177 https://arxiv.or…

Distributionally robust approximation property of neural networks
The universal approximation property uniformly with respect to weakly compact families of measures is established for several classes of neural networks. To that end, we prove that these neural networks are dense in Orlicz spaces, thereby extending classical universal approximation theorems even beyond the traditional $L^p$-setting. The covered classes of neural networks include widely used architectures like feedforward neural networks with non-polynomial activation functions, deep narrow netw…

Formalizing the zigzag construction of path spaces of pushouts
Vojt\v{e}ch \v{S}t\v{e}pan\v{c}\'ik
https://arxiv.org/abs/2510.08452 https://arxiv.org/p…

Formalizing the zigzag construction of path spaces of pushouts
A recent pre-print of Wärn gives a novel pen-and-paper construction of a type family characterizing the path spaces of an arbitrary pushout, and a natural language argument for its correctness. We present the first formalization of the construction and a proof that it is fiberwise equivalent to the path spaces. The formalization is carried out in axiomatic homotopy type theory, using the Agda proof assistant and the agda-unimath library.

Plastic metric spaces and groups
Taras Banakh, Oles Mazurenko, Olesia Zavarzina
https://arxiv.org/abs/2510.10537 https://arxiv.org/pdf/2510.10537

Plastic metric spaces and groups
A metric space is plastic if all its non-expansive bijections are isometries. We prove three main results: (1) every countable dense subspace of a normed space is not plastic, (2) every $k$-crowded separable metric space contains a plastic dense subspace, and (3) every strictly convex separable metric group contains a plastic dense subgroup.

On the boundedness of dilation operators in the context of Triebel-Lizorkin-Morrey spaces
Marc Hovemann, Markus Weimar
https://arxiv.org/abs/2510.11439 https://

On the boundedness of dilation operators in the context of Triebel-Lizorkin-Morrey spaces
In this paper we study the behavior of dilation operators $ D_λ\colon f \mapsto f(λ\,\cdot) $ with $ λ> 1 $ in the context of Triebel-Lizorkin-Morrey spaces $\mathcal{E}^{s}_{u,p,q}(\mathbb{R}^d)$. For that purpose we prove upper and lower bounds for the operator (quasi-)norm $\| D_λ\,|\, \mathcal{L}\big(\mathcal{E}^s_{u,p,q}(\mathbb{R}^d)\big) \| $. We show that for $s>σ_p $ the operator (quasi-)norm $\| D_λ\,|\, \mathcal{L}\big(\mathcal{E}^s_{u,p,q}(\mathbb{R}^d…

Norske filmfond krever politisk handling. | Rushprint https://rushprint.no/2025/11/norske-filmfond-krever-politisk-handling/

Ble invitert til å holde en presentasjon og workshop i Kristiansand i dag, og bestemte meg for å ta tog hele veien i stedet for tog til Gardemoen og fly derfra.
Det betŸd jeg måtte stå opp kl. 4 😫 for å 5.04 toget fra Moelv, men nå som vi ankommer Nelaug og har en snau time igjen må jeg si at dette går overraskende greit. Total reisetid blir ca. 1 time lenger enn det ville blitt ellers, men jeg slipper stress på flyplassen, og sitter mye mer behagelig enn på et fly.
Skal tilbake …

Join me at two events at the British Library later this month:
https://www.bl.uk/stories/blogs/posts/knowledge-is-human
On 20 October, the British Library is joining forces with Wikimedia UK and the Wikimedia Foundation to explore the impact of AI on ope…

Knowledge is Human: The Information Ecosystem in the age of AI
A summit to mark the role of human-created, open knowledge in the age of AI and our collective responsibility to safeguard knowledge integrity and sustainability.

‘Locked up for 24 years’: joy and sorrow as Palestinian prisoners and detainees return home https://www.theguardian.com/world/2025/oct/13/palestinian-prisoners-return-home?CMP=Share_iOSApp_Other

'Are you a data professional, researcher or practitioner (user) working with data within or across communities and sectors? This survey is for you!' https://qualtrics.ucl.ac.uk/jfe/form/SV_9S7AtciBfXf9K9o
Via Melissa Terras on a DH mailing list, so GLAMs…

Qualtrics Survey | Qualtrics Experience Management
The most powerful, simple and trusted way to gather experience data. Start your journey to experience management and try a free account today.

Gradient-Guided Furthest Point Sampling for Robust Training Set Selection
Morris Trestman, Stefan Gugler, Felix A. Faber, O. A. von Lilienfeld
https://arxiv.org/abs/2510.08906 h…

Gradient-Guided Furthest Point Sampling for Robust Training Set Selection
Smart training set selections procedures enable the reduction of data needs and improves predictive robustness in machine learning problems relevant to chemistry. We introduce Gradient Guided Furthest Point Sampling (GGFPS), a simple extension of Furthest Point Sampling (FPS) that leverages molecular force norms to guide efficient sampling of configurational spaces of molecules. Numerical evidence is presented for a toy-system (Styblinski-Tang function) as well as for molecular dynamics traject…

Best '80s Movies: The Ultimate 10 Films of the Decade https://nofilmschool.com/best-80s-movies

SCOOP'D: Learning Mixed-Liquid-Solid Scooping via Sim2Real Generative Policy
Kuanning Wang, Yongchong Gu, Yuqian Fu, Zeyu Shangguan, Sicheng He, Xiangyang Xue, Yanwei Fu, Daniel Seita
https://arxiv.org/abs/2510.11566

SCOOP'D: Learning Mixed-Liquid-Solid Scooping via Sim2Real Generative Policy
Scooping items with tools such as spoons and ladles is common in daily life, ranging from assistive feeding to retrieving items from environmental disaster sites. However, developing a general and autonomous robotic scooping policy is challenging since it requires reasoning about complex tool-object interactions. Furthermore, scooping often involves manipulating deformable objects, such as granular media or liquids, which is challenging due to their infinite-dimensional configuration spaces and…

Das Beste an Windows 11 und dem Supportende von Windows 10 nächste Woche ist: Zeit für einen neuen PC! Und allerspätestens 2028 gleich wieder!
Wer stattdessen täglich einen uncoolen "reifen" Computer verwenden will, ohne groß über sein Betriebssystem nachzudenken, der findet bestimmt auch dieses hässliche Tier niedlich. 👇
#Linux (seit 2008)

A surprise benefit of mRNA vaccines could be better treatments for cancer, extending lives without the side effects of chemo? Yay for good news! https://www.theguardian.com/commentisfree/2025/nov/12/covid-mrna-vaccines-cancer-patien…

A note on remotal and uniquely remotal sets in normed linear spaces
Uddalak Mukherjee, Sumit Som
https://arxiv.org/abs/2510.10992 https://arxiv.org/pdf/251…

A note on remotal and uniquely remotal sets in normed linear spaces
Remotal and uniquely remotal sets play an important role in the area of farthest point problem as well as nearest point problem in a Banach space $X.$ In this study, we find some sufficient conditions for remotality and uniquely remotality of a bounded subset of a Banach space $X$ through $αβ$-statistical convergence.

I was part of an OCLC RLP working group on 'artificial intelligence to support metadata workflows'.
Four posts summarise this work, looking at primary cataloguing, archives and special collections, institutional repositories, and overall pros and cons https://hangingtogether.org/tag/aiandm

AIandMetadataWorkflows Archives - Hanging Together

On Gorenstein Fano toric complete intersections
Juergen Hausen, Paul Weiss
https://arxiv.org/abs/2510.11591 https://arxiv.org/pdf/2510.11591

On Gorenstein Fano toric complete intersections
We classify Q-factorial Gorenstein Fano non-degenerate complete intersection threefolds in fake weighted projective spaces.

On the stability of the Bishop's property($\beta$) under compact perturbations
Salah Mecheri
https://arxiv.org/abs/2510.09289 https://arxiv.org/pdf/251…

On the stability of the Bishop's property($β$) under compact perturbations
Let $B(X)$ be the Banach algebra of all bounded linear operators acting on a Banach space $X$. Are sums and products of commuting decomposable operators on Banach spaces decomposable? This is one of the most important open problems in the local spectral theory of operators on Banach spaces. Similarly, it is not known if local spectral properties such as the single valued extension property, Dunfords property $(C)$, Bishops property $(β)$, or the decomposition property ($δ$) are preserved unde…

King Gizzard & The Lizard Wizard quit Spotify in protest, only for an AI doppelgänger to step in https://theconversation.com/king-gizzard-and-the-lizard-wizard-quit-spotify-in-protest-only-for-an-ai…

King Gizzard & The Lizard Wizard quit Spotify in protest, only for an AI doppelgänger to step in
Can (or will) Spotify be held legally accountable for hosting AI knockoffs of real bands? An expert explains.

ClickFix may be the biggest security threat your family has never heard of https://arstechnica.com/security/2025/11/clickfix-may-be-the-biggest-security-threat-your-family-has-never-heard-of/

ClickFix may be the biggest security threat your family has never heard of
Relatively new technique can bypass many endpoint protections.

Looking forward to reading this! “Making BERT Feel at Home. Modelling Domestic Space in 19th-Century British and Irish Fiction”, Journal of Computational Literary Studies4(1). doi: https://doi.org/10.48694/jcls.4164
By Guhr, S., Monaco, J., Sherman, A., Warner, M. & Algee-Hewitt, M

Making BERT Feel at Home. Modelling Domestic Space in 19th-Century British and Irish Fiction
We introduce a novel approach to detecting domestic space in literary texts beyond explicit spatial markers like “home” or “house.” Using a pre-trained English BERT model fine-tuned on manually annotated passages from a corpus of 19th-century British and Irish novels, we develop a method to operationalize and quantify domesticity in fiction. Our model captures the nuances of domestic space by analyzing contextual and relational cues rather than relying solely on toponymic and other expl…

Portland’s Dancing Protesters Are Showing Us How to Stand Up to Trump | The Nation https://www.thenation.com/article/activism/portland-protests-dancing-frog-trump/

Portland’s Dancing Protesters Are Showing Us How to Stand Up to Trump
The president wants us to be afraid. These activists are clowning him instead.

#FF2025 handing over to #FF2026!

Megan Gooch and Amy Warner May on survey results - what staff want their CEO to know about AI, and what they're not telling their CEO! #ff2025

People on here who complain about the politics on Substack — are you still on Facebook or another Meta platform? If so, check your hypocrisy.
Really, everyone needs to get off those platforms. Now. They only have power over us because we’re willing to give it to them, and unwilling to deal with the inconvenience of finding alternatives.
#DeleteFacebook

EU Set the Global Standard on Privacy and AI. Now It’s Pulling Back | TechPolicy.Press https://techpolicy.press/eu-set-the-global-standard-on-privacy-and-ai-now-its-pulling-back

EU Set the Global Standard on Privacy and AI. Now It’s Pulling Back | TechPolicy.Press
The draft Digital Omnibus could weaken core data protections and give tech companies more leeway in using European data, reports Ramsha Jahangir.

Dette er forventet, men det er utrolig dumt. Schjederup har bare «gjort noe dumt» — han har delt overgrepsmateriale av barn. Det er både straffbart og viser særdeles dårlig dŸmmekraft. Det er heller ikke synd på ham.
Det å slå ring om en av sine egne er en refleks hos de aller fleste sporslag, men det er skadelig. Det er skadelig for det signalet det sender utad, og det er skadelig for laget som nå vil måtte stŸtte denne beslutningen i det som vil bli en Ÿkende mediestorm.
Dette …

Beholder Schjelderup på landslaget: – Ikke i tvil om at det er riktig
Landslagssjef Ståle Solbakken har falt ned på at det er riktig å la Andreas Schjelderup bli værende i landslagstroppen. Etterpå ble han grillet av pressen.

To be fair — there is another country in the same category as the UK.
Yes, Canada — I’m looking at you. https://pubeurope.com/@europesays/115524476481545848

Europe Says (@europesays@pubeurope.com)
Attached: 1 image https://www.europesays.com/2559172/ God, I need a pint. Heresy, I say. #GreatBritish #GreatBritishMemes #Memes #UnitedKingdom

In which Sak Supple shares his experiments with using LLMs to transcribe 18th and 19th century playbills from the British Library - manicules, long 's' and all! 'blplaybills.org: better search results using LLMs' https://www.bl.uk/stories/blogs/posts/blpl

blplaybills.org: better search results using LLMs
Search for, view and download 300 years of theatre posters from Great Britain and Ireland, 1600–1902.

Ok, time for a little #rant
One aspect of (generative) AI in education that I have become increasingly aware of is the role AI plays in magnifying the results-oriented culture we have created. Grades and publication metrics are designed to measure the achievement of individuals as compared to other individuals. For students, better grades mean admission to the next degree or a better job. For…

That's @dorothyjberry delivering an incredible closing keynote at #FF2025
Some focusing questions:
How do we describe archives?
Why do we describe archives?
What are we trying to automate?

Reading this article as I listen to Joan Baez (coincidentally): https://archive.is/pky5Q And I think: is it a bad thing that it's almost impossible for AI companies to license music for training their models…? I don't think it is, actually. Perhaps they should look for business models that don’t in…

Meta AI adviser spreads disinformation about shootings, vaccines and trans people https://www.theguardian.com/technology/2025/oct/12/meta-ai-adviser-robby-starbuck?CMP=Share_iOSApp_Other

Lightning talks include IIIF's AI/ML working group presented by the excellent Martin Kalfatovic https://www.conftool.org/fantastic-futures-2025/index.php?page=browseSessions&ismobile=true&form_session=26

Saturday Morning Breakfast Cereal: Toxic Measurement Nationalism - http://www.smbc-comics.com/comic/measurement

Saturday Morning Breakfast Cereal - Measurement
Saturday Morning Breakfast Cereal - Measurement

https://comparia.beta.gouv.fr/ is so awesome for AI literacy - it makes it so easy to get a sense of different models, rate their responses on accuracy etc, then see what the models were and how they compare, plus the carbon footprint of your queries (as on the screenshot)

Today we welcome both in-person and online participants to the first full day of #FF2025!
Check out the full programme at
https://www.conftool.org/fantastic-futures-…

Floridas boikott avslŸrer en dypere krise i internasjonal hŸyere utdanning https://www.khrono.no/floridas-boikott-avslorer-en-dypere-krise-i-internasjonal-hoyere-utdanning/1021261

Floridas boikott avslører en dypere krise i internasjonal høyere utdanning
Floridas beslutning om å boikotte norske universiteter på grunn av deres holdning til Palestina bør ikke skremme norsk akademia. Den bør gjøre oss modigere.

Florida og den akademiske boikotten av Israel https://www.khrono.no/florida-og-den-akademiske-boikotten-av-israel/1021539

Florida og den akademiske boikotten av Israel
MFs og Civitas professor Torkel Brekke stiller seg i praksis på samme side som den autoritære ytre høyresiden som nå truer både den akademiske friheten og det liberale demokratiet i Europa.

In Kyiv, I saw how art can help hold a city together in the shadow of war https://theconversation.com/in-kyiv-i-saw-how-art-can-help-hold-a-city-together-in-the-shadow-of-war-269129

In Kyiv, I saw how art can help hold a city together in the shadow of war
Amid air sirens and sandbagged streets, Kyiv’s art scene offers unexpected glimpses of life, reflection and the human spirit.

Why OpenAI is a prime example of the ethical limits of capitalism https://theconversation.com/why-openai-is-a-prime-example-of-the-ethical-limits-of-capitalism-270407

Why OpenAI is a prime example of the ethical limits of capitalism
Money and morality are a challenging corporate combination.

Very strange thing happened with my files on the tab.digital @…… I noticed today they have been spontaneously encrypted; apparently not by some cryptoransomer, but a known bug that has plagued random users for at least two years. All the text files, regardless of file type, now start with the header HBEGIN:oc_encryption_module:OC_DEFAULT_MODULE:cipher:AES-256-CT…

Can AI really replace humans when it comes to the arts? https://www.theguardian.com/commentisfree/picture/2025/oct/11/can-ai-really-replace-humans-when-it-comes-to-the-arts?CMP=Share_iOSApp_Other…

‘Page one of the authoritarian playbook’: how Trump and allies are exploiting Kirk’s killing https://www.theguardian.com/us-news/2025/oct/11/charlie-kirk-trump-maga-allies?CMP=Share_iOSApp_Other

Hei #Mastohjelp! Jeg sitter fast — nok en gang — med å finne et godt begrep på norsk som kan dekke det samme som *immersive*. Det vil si, når det brukes i kunst, VR, osv. for å beskrive en «immersive experience».
Er det noen kyndige der ute som har et svar? Jeg har til og med henvendt meg til språkrådet uten at det hjalp…