4 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 $\…