The Journal of Modern Dynamics (JMD) is dedicated to publishing research articles in active and promising areas in the theory of dynamical systems with particular emphasis on the mutual interaction between dynamics and other major areas of mathematical research, including:
- Number theory
- Symplectic geometry
- Differential geometry
- Quantum chaos
- Teichmüller theory
- Geometric group theory
- Harmonic analysis on manifolds
The journal is published by the American Institute of Mathematical Sciences (AIMS) with the support of the Center for Dynamics and Geometry at the Pennsylvania State University.
- AIMS is a member of COPE. All AIMS journals adhere to the publication ethics and malpractice policies outlined by COPE.
- Publishes each article online whenever ready; the whole volume is printed in a single book at the end of the year.
- JMD is SCI-E, covered in Science Citation Index Expanded, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES) ISI Alerting Services, Journal Citation Reports/Science Edition, Math Reviews, MathSciNet, Zentralblatt.
- Archived in Portico and CLOCKSS.
- JMD is a publication of the American Institute of Mathematical Sciences. All rights reserved.
Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.
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We study rational step function skew products over certain rotations of the circle proving ergodicity and bounded rational ergodicity when the rotation number is a quadratic irrational. The latter arises from a consideration of the asymptotic temporal statistics of an orbit as modelled by an associated affine random walk.
We construct countable Markov partitions for non-uniformly hyperbolic diffeomorphisms on compact manifolds of any dimension, extending earlier work of Sarig [
The set of automorphisms of a one-dimensional subshift
An important consequence of the theory of entropy of
We study the smooth self-maps
We study hyperbolic attractors of some dynamical systems with apriori given countable Markov partitions. Assuming that contraction is stronger than expansion, we construct new Markov rectangles such that their cross-sections by unstable manifolds are Cantor sets of positive Lebesgue measure. Using new Markov partitions we develop thermodynamical formalism and prove exponential decay of correlations and related properties for certain Hölder functions. The results are based on the methods developed by Sarig [
We study skew products where the base is a hyperbolic automorphism of
We prove that for every
We show that an arbitrary factor map
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