
ISSN:
1930-5311
eISSN:
1930-532X
All Issues
Journal of Modern Dynamics
Open Access Articles
We review recent advances in the spectral approach to studying statistical properties of dynamical systems highlighting, in particular, the role played by Sébastien Gouëzel.
We present three results of Sébastien Gouëzel's: the local limit theorem for random walks on hyperbolic groups, a multiplicative ergodic theorem for non-expansive mappings (joint work with Anders Karlsson), and the description of the essential spectrum of the Laplacian on
M. Hochman's work on the dimension of self-similar sets has given impetus to resolving other questions regarding fractal dimension. We describe Hochman's approach and its influence on the subsequent resolution by P. Shmerkin of the conjecture on the dimension of the intersection of
We review the impact of Mike Hochman's work on mutlidimensional symbolic dynamics and Borel dynamics.
We present the achievements of Lewis Bowen, or, more precisely, his breakthrough works after which a theory started to develop. The focus will therefore be made here on the isomorphism problem for Bernoulli actions of countable non-amenable groups which he solved brilliantly in two remarkable papers. Here two invariants were introduced, which led to many developments.
An important consequence of the theory of entropy of
Using classical results of Rogers [
We prove analogs of the logarithm laws of Sullivan and KleinbockMargulis in the context of unipotent flows. In particular, we prove results for horospherical actions on homogeneous spaces G/Γ.
We review recent advances on ergodicity of partially and nonuniformly hyperbolic systemsdescribing, in particular, important contributions of Federico Rodriguez Hertz and his collaborators.
Professor Michael Brin of the University of Maryland endowed an internationalprize for outstanding work in the theory of dynamical systems and relatedareas. The prize is given biennially for specific mathematical achievements thatappear as a single publication or a series thereof in refereed journals, proceedingsor monographs.
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This paper is a survey about recent progress in measure rigidity and global rigidity of Anosov actions, and celebrates the profound contributions by Federico Rodriguez Hertz to rigidity in dynamical systems.
This special issue presents some of the lecture notes of the courses held in the 2008 and 2011 Summer Institutes at the Mathematics Research and Conference Center of Polish Academy of Sciences at Będlewo, Poland. The school was structured as daily courses with a double lecture each, in two parts of 45-50 minutes with a break in between.
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The paper is a nontechnical survey and is aimed to illustrate Sarig'sprofound contributions to statistical physics and in particular,thermodynamic formalism for countable Markov shifts. I will discusssome of Sarig's work on characterization of existence of Gibbsmeasures, existence and uniqueness of equilibrium states as well asphase transitions for Markov shifts on a countable set of states.
2020
Impact Factor: 0.848
5 Year Impact Factor: 0.815
2020 CiteScore: 0.9
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