arXiv:2211.14661v1 [math.PR] 26 Nov 2022 Page 1 Iterated Function Systems: A
Comprehensive Survey Ramen Ghosh ∗ Jakub Mareček † November 29, 2022 Abstract We …

We develop an algorithm for the equivariant divergence formula of the unstable perturbation
of unstable transfer operators, by progressively computing many bounded vectors or …

We present a general setting in which the formula describing the linear response of the
physical measure of a perturbed system can be obtained. In this general setting we obtain …

This paper is mainly concerned with limiting behaviors of invariant measures for neural field
lattice models in a random environment. First of all, we consider the convergence relation of …

Markov expanding maps, a class of simple chaotic systems, are commonly used as models
for chaotic dynamics, but existing numerical methods to study long-time statistical properties …

We prove the existence of noise induced order in the Matsumoto–Tsuda model, where it was
originally discovered in 1983 by numerical simulations. This is a model of the famous …

We consider C^ 2 C 2 families t ↦ f_t t↦ ft of C^ 4 C 4 nondegenerate unimodal maps. We
study the absolutely continuous invariant probability (SRB) measure μ _t μ t of f_t ft, as a …

We prove the equivariant divergence formula for axiom A flow attractors. It is a pointwisely-
defined and recursive formula for perturbation of SRB measures along center-unstable …

We show that spectral data of transfer operators given by holomorphic data can be
approximated using an effective numerical scheme based on Lagrange interpolation. In …

Nonintrusive shadowing algorithms efficiently compute v, the difference between shadowing
trajectories, and then use v to compute derivatives of averaged objectives of chaos with …