1 citations · 1 across the 2 of their papers we have counts for
4 papers
Finitude of physical measures for Markovian random maps
Pablo G. Barrientos, Dominique Malicet, Fumihiko Nakamura +2
We study the finiteness of physical measures for skew-product transformations associated with discrete-time random dynamical systems driven by ergodic Markov chains. We develop…
Error bounds in a smooth metric for Brownian approximation of dynamical systems via Stein's method
Juho Leppänen, Yuto Nakajima, Yushi Nakano
We adapt Stein's method of diffusion approximations, developed by Barbour, to the study of chaotic dynamical systems. We establish an error bound in the functional central limit th…
Length averages for codimension one foliations
Masayuki Asaoka, Yushi Nakano, Paulo Varandas +1
In this paper we study geometrical and dynamical properties of codimension one foliations, by exploring a relation between length averages and ball averages of certain group action…
A spectral approach to quenched linear and higher-order response for partially hyperbolic dynamics
Harry Crimmins, Yushi Nakano
For smooth random dynamical systems we consider the quenched linear and higher-order response of equivariant physical measures to perturbations of the random dynamics. We show that…