4 papers
Regularity of the variance in quenched CLT for random intermittent dynamical systems
Davor DragiÄeviÄ, Juho Leppänen
We study random dynamical systems composed of LSV maps with varying parameters, without any mixing assumptions on the base space of random dynamics. We establish a quenched central…
A local limit theorem for a random walk in an intermittent dynamical environment
Juho Leppänen
We study an extended dynamical system on the non-negative real line with piecewise linear non-uniformly expanding local dynamics. With a uniformly distributed initial state, the di…
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…
Improved polynomial rates of memory loss for nonstationary intermittent dynamical systems
A. Korepanov, J. Leppänen
We study nonstationary dynamical systems formed by sequential concatenation of nonuniformly expanding maps with a uniformly expanding first return map. Assuming a polynomially deca…