38 citations · 108 across the 9 of their papers we have counts for
9 papers
Cocycles with Quasi-Conformality II: Ergodic measures with positive entropy
Meysam Nassiri, Hesam Rajabzadeh, Zahra Reshadat
As the second part of a series on linear cocycles over chaotic systems, this paper establishes a "multiple covering principle" that robustly yields positive-entropy ergodic measure…
Cantor sets in higher dimensions II: Optimal dimension constraint for stable intersections
Meysam Nassiri, Mojtaba Zareh Bidaki
It is well known that a pair of compact sets in () can be separated by small deformations if the sum of their upper box dimensions is less than …
Cantor sets in higher dimension I: Criterion for stable intersections
Meysam Nassiri, Mojtaba Zareh Bidaki
We study the geometry of dynamically defined Cantor sets in arbitrary dimensions, introducing a criterion for stable intersections of such Cantor sets, under a…
Cocycles with Quasi-Conformality I: Stability and abundance
Meysam Nassiri, Hesam Rajabzadeh, Zahra Reshadat
This is the first part of a series of papers devoted to the study of linear cocycles over chaotic systems. In the present paper, we establish the existence of such cocycles that $\…
Stable local dynamics: expansion, quasi-conformality and ergodicity
Abbas Fakhari, Meysam Nassiri, Hesam Rajabzadeh
In this paper, we study stable ergodicity of the action of groups of diffeomorphisms on smooth manifolds. Such actions are known to exist only on one-dimensional manifolds. The aim…
Robust minimality of iterated function systems with two generators
Ale Jan Homburg, Meysam Nassiri
We prove that any compact manifold without boundary admits a pair of diffeomorphisms that generates robustly minimal dynamics. We apply the results to the construction of ble…
Prime ends rotation numbers and periodic points
Andres Koropecki, Patrice Le Calvez, Meysam Nassiri
We study the problem of existence of a periodic point in the boundary of an invariant domain for a surface homeomorphism. In the area-preserving setting, a complete classification…
Robust Transitivity in Hamiltonian Dynamics
Meysam Nassiri, Enrique R. Pujals
A goal of this work is to study the dynamics in the complement of KAM tori with focus on non-local robust transitivity. We introduce open sets () of symp…
Transitivity of generic semigroups of area-preserving surface diffeomorphisms
Andres Koropecki, Meysam Nassiri
We prove that the action of the semigroup generated by a generic pair of area-preserving diffeomorphisms of a compact orientable surface is transitive.