Minimal sets and orbit spaces for group actions on local dendrites
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2226-7
Abstract: We consider a group G acting on a local dendrite X (in particular on a graph). We give a full characterization of minimal sets of G by showing that any minimal set M of G… read more here.
Keywords: orbit spaces; group; minimal sets; local dendrite ... See more keywords
Fourier transforms on finite group actions and bent functions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Algebraic Combinatorics"
DOI: 10.1007/s10801-021-01057-3
Abstract: Highly nonlinear functions (bent functions, perfect nonlinear functions, etc.) on finite fields and finite (abelian or nonabelian) groups have been studied in numerous papers. As a generalization of bent functions on finite groups, bent functions… read more here.
Keywords: group; bent functions; functions finite; complex valued ... See more keywords
An Alternative Definition of Topological Entropy for Amenable Group Actions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-021-09547-0
Abstract: We extend the definition of topological entropy for any (not necessarily continuous) amenable groups acting on a compact space by defining entropy of arbitrary subsets of a product space. We investigate how this new notion… read more here.
Keywords: topological entropy; definition topological; entropy; entropy amenable ... See more keywords
Topological r-Entropy and Measure Theoretic r-Entropy for Amenable Group Actions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-021-09554-1
Abstract: In this paper, we introduce the concept of measure theoretic r-entropy on a compact metric space in the context of amenable group actions. To be precise, we generalize Katok’s r-entropy formula and Brin-Katok r-entropy formula… read more here.
Keywords: amenable group; group actions; measure theoretic; theoretic entropy ... See more keywords
Non-simply connected Calabi–Yau threefolds constructed as quotients of Schoen threefolds
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2017.03.015
Abstract: The aim of this paper is to complete the classification of all Calabi–Yau threefolds which are constructed as the quotient of a smooth Schoen threefold X=B1×P1B2 (fiber product over P1 of two relatively minimal rational… read more here.
Keywords: calabi yau; yau threefolds; threefolds constructed; group ... See more keywords
Maximal group actions on compact oriented surfaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2016.10.004
Abstract: Abstract Suppose S is a compact oriented surface of genus σ ≥ 2 and C p is a group of orientation preserving automorphisms of S of prime order p ≥ 5 . We show that… read more here.
Keywords: actions compact; maximal group; group; finite supergroup ... See more keywords
Some notes on induced functions and group actions on hyperspaces
Sign Up to like & getrecommendations! Published in 2021 at "Topology and its Applications"
DOI: 10.1016/j.topol.2021.107954
Abstract: LetX be a topological space and CL(X) be the family of all nonempty closed subsets of X . In this paper we discuss the problem of when a continuous map between topological spaces induces a… read more here.
Keywords: group; notes induced; group actions; induced functions ... See more keywords
Mean Hausdorff dimension of some infinite dimensional fractals for amenable group actions
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0258258
Abstract: For the countable discrete amenable group actions, we calculate the mean Hausdorff dimensions of three types of infinite dimensional fractal systems, the self-similar systems, homogeneous systems in the infinite-dimensional torus, and the infinite dimensional-carpets. read more here.
Keywords: infinite dimensional; mean hausdorff; amenable group; hausdorff dimension ... See more keywords
Entropies for factor maps of amenable group actions
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DOI: 10.1088/1361-6544/acc71c
Abstract: In this paper we study various entropies for factor maps of amenable group actions. We prove firstly theorem inequalities linking relative topological entropy and conditional topological entropy (for factor maps of amenable group actions) without… read more here.
Keywords: amenable group; maps amenable; group actions; entropy ... See more keywords
Gromov-Hausdorff stability for group actions
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DOI: 10.3934/dcds.2020320
Abstract: We will extend the topological Gromov-Hausdorff stability [ 2 ] from homeomorphisms to finitely generated actions. We prove that if an action is expansive and has the shadowing property, then it is topologically GH-stable. From… read more here.
Keywords: gromov hausdorff; hausdorff stability; stability group; group actions ... See more keywords
Finite group actions on dg categories and Hochschild homology
Sign Up to like & getrecommendations! Published in 2024 at "Canadian Mathematical Bulletin"
DOI: 10.4153/s000843952500030x
Abstract: Abstract Let G be a finite group whose order is not divisible by the characteristic of the ground field $\mathbb {F}$ . We prove a decomposition of the Hochschild homology groups of the equivariant dg… read more here.
Keywords: finite group; mathscr; group actions; hochschild homology ... See more keywords