Tootfinder

A Diestel-Faires type result for multimeasures
Jos\'e Rodr\'iguez
https://arxiv.org/abs/2506.11872 https://arxiv.org/pdf/2506…

A Diestel-Faires type result for multimeasures
Let $X$ be a real Banach space and let $Y \subseteq X^*$ be a linear subspace having the Orlicz-Thomas property, that is, for each $σ$-algebra $Σ$ and for each map $ν:Σ\to X$, the countable additivity of the composition $x^*\circ ν$ for all $x^*\in Y$ implies the countable additivity of $ν$. We show that the Orlicz-Thomas property allows to test countable additivity of set-valued maps. Namely, if $M$ is a map defined on a $σ$-algebra $Σ$ whose values are convex, $σ(X,Y)$-compact, bound…

#NowPlaying that raunchy new Cave record yet again
#metal

A note on intrinsic topologies of groups
S. Bardyla, L. Elliott, J. D. Mitchell, Y. P\'eresse
https://arxiv.org/abs/2506.11500 https://

A note on intrinsic topologies of groups
We investigate topologies on groups which arise naturally from their algebraic structure, including the Frechét-Markov, Hausdorff-Markov, and various kinds of Zariski topologies. Answering a question by Dikranjan and Toller, we show that there exists a countable abelian group in which no bounded version of the Zariski topology coincides with the full Zariski topology. Complementing a recent result by Goffe and Greenfeld, we show that on any group with no algebraicity the semigroup Zariski topo…

Extendable Shift Maps and Weighted Endomorphisms on Generalized Countable Markov Shifts
Rodrigo Bissacot, Iv\'an Diaz-Granados, Thiago Raszeja
https://arxiv.org/abs/2506.07487

Extendable Shift Maps and Weighted Endomorphisms on Generalized Countable Markov Shifts
We obtain an operator algebraic characterization for when we can continuously extend the shift map from a standard countable Markov shift $Σ_A$ to its respective generalized countable Markov shift $X_A$ (a compactification of $Σ_A$). When the shift map is continuously extendable, we obtain explicit formulas for the spectral radius of weighted endomorphisms $aα$, where $α$ is dual to the shift map and conjugated to $Θ(f)=f \circ σ$ on $C(X_A)$, extending a theorem of Kwaśniewski and Lebed…

🇺🇦 #NowPlaying on KEXP's #SonicReducer
Slutbomb:
🎵 Commodified Identity
#Slutbomb
https://slutbomb.bandcamp.com/track/commodified-identity-3
https://open.spotify.com/track/3dGtCTPYq4YDPaX9aKHdZN

La anti ciencia. https://www.eldiario.es/sociedad/gran-sablazo-nasa-concreta-cancela-decenas-misiones-mitad-presupuesto-cientifico_1_12350179.html

This https://arxiv.org/abs/2403.04324 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Sublinear expectation structure under countable state space
In this study, we propose the sublinear expectation structure under countable state space. To describe an interesting "nonlinear randomized" trial, based on a convex compact domain, we introduce a family of probability measures under countable state space. Corresponding the sublinear expectation operator introduced by S. Peng, we consider the related notation under countable state space. Within the countable state framework, the sublinear expectation can be explicitly calculated by a novel repe…

Are Medusa's leg hairs all tiny snakes? And can they move her around like a centipede? #pooptoot

how do you like them apples?
#cndpoli #Canpoli #Poilievre

This https://arxiv.org/abs/2412.13751 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Notions of entropy for unitary representations
Several notions of entropy are studied widely in the ergodic theory of probability-preserving actions of countable groups. These include the generalization of Kolmogorov--Sinai entropy for amenable groups using Følner sequences, percolative entropy entropy for general countable groups, and Bowen's sofic entropy for sofic groups. In this work we pursue these notions across the analogy between ergodic theory and representation theory. We arrive at new quantities associated to unitary represent…