We consider a one-parameter family of expanding interval maps $\{T_ {\alpha}\} _ {\alpha\in
[0, 1]} $(japanese continued fractions) which include the Gauss map ($\alpha= 1$) and the …

We consider the quadratic family of maps given by fa (x)= 1− ax 2 on I=[− 1, 1], for the
Benedicks–Carleson parameters. On this positive Lebesgue measure set of parameters …

Invariant Measures, Matching and the Frequency of 0 for Signed Binary Expansions Page 1
Publ. RIMS Kyoto Univ. 56 (2020), 701–742 DOI 10.4171/PRIMS/56-4-2 Invariant Measures …

We consider a family of one-dimensional maps arising from the contracting Lorenz attractors
studied by Rovella. Benedicks–Carleson techniques were used by Rovella to prove that …

We show that for a large class of maps on manifolds of arbitrary finite dimension, the
existence of a Gibbs–Markov–Young structure (with Lebesgue as the reference measure) is …

We present conditions on families of diffeomorphisms that guarantee statistical stability and
SRB entropy continuity. They rely on the existence of horseshoe-like sets with infinitely many …

We analyze the possible nucleation of cracked surfaces in materials in which changes in the
material texture have a prominent influence on the macroscopic mechanical behavior. The …

We study bifurcations in dynamical systems with bounded random perturbations. Such
systems, which arise quite naturally, have been nearly ignored in the literature, despite a …

We consider some classes of piecewise expanding maps in finite dimensional spaces
having invariant probability measures which are absolutely continuous with respect to …

We analyze certain parametrized families of one-dimensional maps with infinitely many
critical points from the measure-theoretical point of view. We prove that such families have …