Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Bruno, Anna Giordano"'
The aim of this paper is to present one-dimensional finitary linear cellular automata $S$ on $\mathbb Z_m$ from an algebraic point of view. Among various other results, we: (i) show that the Pontryagin dual $\widehat S$ of $S$ is a classical one-dime
Externí odkaz:
http://arxiv.org/abs/2306.10838
For a left action $S\overset{\lambda}{\curvearrowright}X$ of a cancellative right amenable monoid $S$ on a discrete Abelian group $X$, we construct its Ore localization $G\overset{\lambda^*}{\curvearrowright}X^*$, where $G$ is the group of left fract
Externí odkaz:
http://arxiv.org/abs/2302.07174
Motivated by recent applications to entropy theory in dynamical systems, we generalise notions introduced by Matthews and define weakly weighted and componentwisely weakly weighted (generalised) quasi-metrics. We then systematise and extend to full g
Externí odkaz:
http://arxiv.org/abs/2212.08424
We study the receptive metric entropy for semigroup actions on probability spaces, inspired by a similar notion of topological entropy introduced by Hofmann and Stoyanov. We analyze its basic properties and its relation with the classical metric entr
Externí odkaz:
http://arxiv.org/abs/2103.07148
Autor:
Castellano, Ilaria, Dikranjan, Dikran, Freni, Domenico, Bruno, Anna Giordano, Toller, Daniele
Publikováno v:
JOURNAL OF ALGEBRA AND ITS APPLICATIONS (2021)
We introduce the notion of intrinsic semilattice entropy $\widetilde h$ in the category $\mathcal L_{qm}$ of generalized quasimetric semilattices and contractive homomorphisms. By using appropriate categories $\mathfrak X$ and functors $F:\mathfrak X
Externí odkaz:
http://arxiv.org/abs/2003.00929
The additivity with respect to exact sequences is notoriously a fundamental property of the algebraic entropy of group endomorphisms. It was proved for abelian groups by deeply exploiting their structure. On the other hand, a solvable counterexample
Externí odkaz:
http://arxiv.org/abs/2001.02419
We prove an instance of the so-called Addition Theorem for the algebraic entropy of actions of cancellative right amenable monoids $S$ on discrete abelian groups $A$ by endomorphisms, under the hypothesis that $S$ is locally monotileable (that is, $S
Externí odkaz:
http://arxiv.org/abs/2001.02019
We introduce two notions of algebraic entropy for actions of cancellative right amenable semigroups $S$ on discrete abelian groups $A$ by endomorphisms; these extend the classical algebraic entropy for endomorphisms of abelian groups, corresponding t
Externí odkaz:
http://arxiv.org/abs/1908.01983
Publikováno v:
Glasgow Math. J. 63 (2021) 81-105
We study the locally compact abelian groups in the class $\mathfrak E_{<\infty}$, that is, having only continuous endomorphisms of finite topological entropy, and in its subclass $\mathfrak E_0$, that is, having all continuous endomorphisms with vani
Externí odkaz:
http://arxiv.org/abs/1905.09516
We present a unifying approach to the study of entropies in Mathematics, such as measure entropy, topological entropy, algebraic entropy, set-theoretic entropy. We take into account discrete dynamical systems, that is, pairs $(X,T)$, where $X$ is the
Externí odkaz:
http://arxiv.org/abs/1808.03858