ON THE RELATION BETWEEN ACTION AND LINKING

期刊： JOURNAL OF MODERN DYNAMICS, 2021; 17 ()

We introduce numerical invariants of contact forms in dimension three and use asymptotic cycles to estimate them. As a consequence, we prove a version......

ERGODICITY AND PARTIAL HYPERBOLICITY ON SEIFERT MANIFOLDS

期刊： JOURNAL OF MODERN DYNAMICS, 2020; 16 ()

We show that conservative partially hyperbolic diffeomorphism isotopic to the identity on Seifert 3-manifolds are ergodic.

MOBIUS DISJOINTNESS FOR TOPOLOGICAL MODELS OF ERGODIC SYSTEMS WITH DISCRETE SPECTRUM

期刊： JOURNAL OF MODERN DYNAMICS, 2019; 14 ()

We provide a criterion for a point satisfying the required disjointness condition in Sarnak's Mobius Disjointness Conjecture. As a direct application,......

JIF：0.29

GENERICITY ON CURVES AND APPLICATIONS: PSEUDO-INTEGRABLE BILLIARDS, EATON LENSES AND GAP DISTRIBUTIONS

期刊： JOURNAL OF MODERN DYNAMICS, 2018; 12 ()

In this paper we prove results on Birkhoff and Oseledets generic ity along certain curves in the space of affine lattices and in moduli spaces of tran......

JIF：0.29

FOURIER COEFFICIENTS OF x p-INVARIANT MEASURES

期刊： JOURNAL OF MODERN DYNAMICS, 2017; 11 ( )

We consider densities D-Sigma(A), (D) over bar (Sigma)(A) and (D) under bar (Sigma)(A) for a subset A of N with respect to a sequence Sigma of finite ......

JIF：0.43