1 citations · 1 across the 7 of their papers we have counts for
7 papers
Weighted topological entropy and intersecting random translates of Bedford--McMullen carpets
Nima Alibabaei, Masaki Tsukamoto
We establish a relativised variational principle for the Feng--Huang weighted topological entropy associated with a factor map between dynamical systems. Combined with a recent the…
Lyapunov exponents for uniformly hyperbolic random matrix products
Nima Alibabaei
We consider a finite family of invertible real matrices and a transitive Markov shift on the index set. Let be the top Lyapunov exponent for random matrix products…
Lyapunov exponents for random products of non-negative matrices
Nima Alibabaei
We first study i.i.d. products of finitely many invertible matrices with positive entries, and prove that the top Lyapunov exponent admits an explicit, rapidly converg…
On the intersection of Cantor sets and products of random matrices
Nima Alibabaei
Author's follow-up comment: The line of research pursued in this paper has been developed substantially further in my subsequent paper, Lyapunov exponents for random products of no…
Exact Hausdorff dimension of some sofic self-affine fractals
Nima Alibabaei
Previous work has shown that the Hausdorff dimension of sofic affine-invariant sets is expressed as a limit involving intricate matrix products. This limit has typically been regar…
Improved dimension theory of sofic self-affine fractals
Nima Alibabaei
Follow-up comment by the author: Theorem 2.2 in this paper is a special case of Theorems 1.1 and 4.1 in the article "Weighted thermodynamic formalism on subshifts and applications"…
Weighted topological pressure revisited
Nima Alibabaei
Feng--Huang (2016) introduced weighted topological entropy and pressure for factor maps between dynamical systems and established its variational principle. Tsukamoto (2022) redefi…