Tootfinder

Rotation sets for random compositions of $\T$ homeomorphisms
Catalina Freijo, Fabio Tal
https://arxiv.org/abs/2510.11989 https://arxiv.org/pdf/2510.11989…

Rotation sets for random compositions of $\T$ homeomorphisms
We study cocycles of homeomorphisms of $\T$ in the isotopy class of the identity over shift spaces, using as a tool a novel definition of rotation sets inspired in the classical work of Miziurewicz and Zieman. We discuss different notions of rotation sets, for the full cocyle as well as for measures invariant by the shift dynamics on the base. We present some initial results on the shape of rotation sets, continuity of rotation sets for shift-invariant measures, and bounded displacements for ir…

Modular Counting over 3-Element and Conservative Domains
Andrei A. Bulatov, Amirhossein Kazeminia
https://arxiv.org/abs/2510.09950 https://arxiv.org/pdf/25…

Modular Counting over 3-Element and Conservative Domains
In the Constraint Satisfaction Problem (CSP for short) the goal is to decide the existence of a homomorphism from a given relational structure $G$ to a given relational structure $H$. If the structure $H$ is fixed and $G$ is the only input, the problem is denoted $CSP(H)$. In its counting version, $\#CSP(H)$, the task is to find the number of such homomorphisms. The CSP and #CSP have been used to model a wide variety of combinatorial problems and have received a tremendous amount of attention f…

Quasi-conformal VS quasi-isometric equivalence in spaces with controlled growth
Katrin F\"Assler, Enrico Le Donne, Sebastiano Nicolussi Golo, Alessandro Ottazzi, Pierre Pansu
https://arxiv.org/abs/2510.12161

Quasi-conformal VS quasi-isometric equivalence in spaces with controlled growth
We study conditions under which quasi-conformal homeomorphisms are quasi-isometries. We show that if two nilpotent geodesic Lie groups are quasi-conformally homeomorphic, then they are quasi-isometrically equivalent. We also give more general results beyond the nilpotent case. In particular, we show that quasi-conformal homeomorphisms between geodesic Lie groups are quasi-isometries whenever the spaces have strict parabolic or hyperbolic conformal type. As a consequence, quasi-conformal homeomo…

On 2-absorbing submodules and their Amalgamations
Abuzer Gunduz
https://arxiv.org/abs/2510.09863 https://arxiv.org/pdf/2510.09863

On 2-absorbing submodules and their Amalgamations
Let $R_1$ and $R_2$ be commutative rings with $1\neq 0,\;M$ and $N$ be unitary $R_1-$module and $R_2-$module, respectively. $f:R_1\rightarrow R_2$ be a ring homomorphism and $φ: M\rightarrow N$ be an $R-$module homomorphism. This article studied $2-$absorbing submodule that is a generalization of the concept of prime submodule. Firstly, some characterizations of $2-$absorbing submodule are presented. Then, we examine the notion of $2-$absorbing submodule in amalgamation module $M \bowtie^φ JN…

Chandra/HETG and NuSTAR Observations of V750 Ara, a $\gamma\,$Cas-type Star
David P. Huenemoerder (MIT), Sean J. Gunderson (MIT), Richard Ignace (East Tennessee State University), Joy S. Nichols (Harvard,Smithsonian Center for Astrophysics), A. M. T. Pollock (University of Sheffield), Pragati Pradhan (Embry-Riddle Aeronutical University), Norbert S. Schulz (MIT), Dustin K. Swarm (University of Iowa), Jos\'e M. Torrej\'on (Universidad de Alicante)

Chandra/HETG and NuSTAR Observations of V750 Ara, a $γ\,$Cas-type Star
We present 197 ks HETG and 95 ks NuSTAR spectra of the $γ\,$Cas-type object V750 Ara. The high-resolution X-ray spectra show that the target is similar to other objects of this class. Data are interpreted under the assumption that the X-rays come from an accreting white dwarf, and our analysis implies an accretion rate of about $3\times10^{-11}M_\odot\mathrm{yr}^{-1}$. Emission lines are weak, and predominantly from hydrogen-like ions: Mg XII, Si XIV, and S XVI. H-like and He-like Fe are both …

Complementarity of gravitational wave analyses and di-Higgs production in the exploration of the Electroweak Phase Transition dynamics in the RxSM
Johannes Braathen, Sven Heinemeyer, Carlos Pulido Boatella, Alain Verduras Schaeidt
https://arxiv.org/abs/2510.12569

Complementarity of gravitational wave analyses and di-Higgs production in the exploration of the Electroweak Phase Transition dynamics in the RxSM
The real singlet extension of the Standard Model (SM), RxSM, is one of the simplest Beyond-the-Standard Model (BSM) theories that can accommodate a strong first-order electroweak phase transition (SFOEWPT). We survey the possible thermal histories of the early Universe in the RxSM, and find that a SFOEWPT can occur in this model as single- or two-step phase transitions. We investigate complementary approaches to probe such scenarios experimentally: either via searches for a stochastic backgroun…

$F$-divided bundles on normal $F$-finite schemes
Adrian Langer, Lei Zhang
https://arxiv.org/abs/2510.10582 https://arxiv.org/pdf/2510.10582

$F$-divided bundles on normal $F$-finite schemes
In this paper we study $F$-divided bundles on irreducible Noetherian normal $F$-finite $\mathbb{F}_p$-schemes and we show that their Tannakian category is governed by the behaviour at the generic point. In particular, if $U\subset X$ is an open subset of a normal variety defined over an algebraically closed field then the corresponding homomorphism of $F$-divided fundamental groups is faithfully flat. This is analogous to a known fact about the topological fundamental group of an open subset of…

Replaced article(s) found for math.SG. https://arxiv.org/list/math.SG/new
[1/1]:
- The sharp $C^0$-fragmentation property for Hamiltonian diffeomorphisms and homeomorphisms on surf...
Baptiste Serraille

Replaced article(s) found for math.GN. https://arxiv.org/list/math.GN/new
[1/1]:
- Mean dimension explosion of induced homeomorphisms
Gabriel Lacerda, Sergio Roma\~na

Homomorphism Problems in Graph Databases and Automatic Structures
R\'emi Morvan
https://arxiv.org/abs/2510.07422 https://arxiv.org/pdf/2510.07422

Homomorphism Problems in Graph Databases and Automatic Structures
This thesis investigates the central role of homomorphism problems (structure-preserving maps) in two complementary domains: database querying over finite, graph-shaped data, and constraint solving over (potentially infinite) structures. Building on the well-known equivalence between conjunctive query evaluation and homomorphism existence, the first part focuses on conjunctive regular path queries, a standard extension of conjunctive queries that incorporates regular-path predicates. We study t…