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math.DS2025
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…
math.DS2025
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…