We study a class F^ of one-dimensional full branch maps introduced in Coates et
al.(Commun Math Phys 402 (2): 1845–1878, 2023), admitting two indifferent fixed points as …

We prove functional limit theorems for dynamical systems in the presence of clusters of large
values which, when summed and suitably normalised, get collapsed in a jump of the limiting …

In this article, we address the decay of correlations for dynamical systems that admit an
induced weak Gibbs Markov map (not necessarily full branch). Our approach generalizes L …

Given a dynamical system, we prove that the shortest distance between two n-orbits scales
like n to a power even when the system has slow mixing properties, thus building and …

We propose a notion of random horseshoe for one-dimensional random dynamical systems.
We prove the abundance of random horseshoes for a class of circle endomorphisms subject …

We extend results on robust exponential mixing for geometric Lorenz attractors, with a dense
orbit and a unique singularity, to singular-hyperbolic attracting sets with any number of …

C1-genericity of unbounded distortion for ergodic conservative expanding circle maps -
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We prove strong statistical stability of a large class of one-dimensional maps which may
have an arbitrary finite number of discontinuities and of non-degenerate critical points and/or …

We consider a class of doubly intermittent maps with critical points, unbounded derivative
and regularly varying tails. Under some mild assumptions we prove the existence of a …

We present the first rates of convergence to an $ N $-dimensional Brownian motion when $
N\ge2 $ for discrete and continuous time dynamical systems. Additionally, we provide the …