2 citations · 2 across the 3 of their papers we have counts for
6 papers · 1 filter
Limits of Rauzy graphs of languages with subexponential complexity
Paul-Henry Leemann, Tatiana Nagnibeda, Alexandra Skripchenko +1
To a subshift over a finite alphabet, one can naturally associate an infinite family of finite graphs, called its Rauzy graphs. We show that for a subshift of subexponential comple…
Scaling entropy growth gap
Georgii Veprev
The scaling entropy of a p.m.p. action is a slow-entropy type invariant that characterizes the intermediate growth of entropy in a dynamical system. An amenable group has a sca…
Dynamics of metrics in measure spaces and scaling entropy
A. M. Vershik, G. A. Veprev, P. B. Zatitskii
This survey is dedicated to a new direction in the theory of dynamical systems: the dynamics of metrics in measure spaces and new (catalytic) invariants of transformations with inv…
Non-existence of a universal zero entropy system via generic actions of almost complete growth
Georgii Veprev
We prove that a generic p.m.p. action of a countable amenable group has scaling entropy that can not be dominated by a given rate of growth. As a corollary, we obtain that ther…
Scaling Entropy of Unstable Systems
Georgii Veprev
In this work, we study the slow entropy type invariant of a dynamical system proposed by A. M. Vershik. We provide an explicit construction of a system whose class of scaling entro…
Non-existence of a universal zero entropy system for non-periodic amenable group actions
Georgii Veprev
Let be a non-periodic amenable group. We prove that there does not exist a topological action of for which the set of ergodic invariant measures coincides with the set of a…