Juho Leppänen

Research

I work on problems at the interface of dynamical systems and probability theory. My interests include the asymptotic theory of weakly dependent processes, nonautonomous dynamical systems and random walks in inhomogeneous environments, intermittent transformations, and response theory.

Preprints

• Decay of correlations and limit theorems for random intermittent maps (with D. Dragičević, Y. Hafouta) [ArXiv]
• Regularity of the variance in quenched CLT for random intermittent dynamical systems (with. D. Dragičević) [ArXiv]
• A multivariate Berry—Esseen theorem for time-dependent expanding dynamical systems [ArXiv]

Published papers

• A local limit theorem for a random walk in an intermittent dynamical environment
  Journal of Theoretical Probability, 39 (2026) [ArXiv] [Journal]
• Error bounds in a smooth metric for Brownian approximation of dynamical systems via Stein's method (with Y. Nakajima, Y. Nakano)
  Journal of Statistical Physics, 168 (2025) [ArXiv] [Journal]
• Improved polynomial rates of memory loss for nonstationary intermittent dynamical systems (with A. Korepanov)
  Physica D: Nonlinear Phenomena, 483 (2025) [ArXiv] [Journal]
• Linear response for intermittent maps with critical point
  Nonlinearity, 37 (2024) [ArXiv] [Journal]
• On the fractional susceptibility function of piecewise expanding maps (with M. Aspenberg, V. Baladi, T. Persson)
  Discrete and Continuous Dynamical Systems, 42 (2022) [ArXiv] [Journal]
• Loss of memory and moment bounds for nonstationary intermittent dynamical systems (with A. Korepanov)
  Communications in Mathematical Physics, 385 (2021) [ArXiv] [Journal]
• Sunklodas' approach to normal approximation for time-dependent dynamical systems (with M. Stenlund)
  Journal of Statistical Physics, 181 (2020) [ArXiv] [Journal]
• Central limit theorems with a rate of convergence for time-dependent intermittent maps (with O. Hella)
  Stochastics and Dynamics, 20 (2020) [ArXiv] [Journal]
• Stein's method of normal approximation for dynamical systems (with O. Hella, M. Stenlund)
  Stochastics and Dynamics, 20 (2020) [ArXiv] [Journal]
• Intermittent quasistatic dynamical systems: weak convergence of fluctuations
  Nonautonomous Dynamical Systems, 5 (2018) [ArXiv] [Journal]
• A note on the finite-dimensional distributions of dispersing billiard processes (with M. Stenlund)
  Journal of Statistical Physics, 168 (2017) [ArXiv] [Journal]
• Functional correlation decay and multivariate normal approximation for non-uniformly expanding maps
  Nonlinearity, 30 (2017) [ArXiv] [Journal]
• Quasistatic dynamics with intermittency (with M. Stenlund)
  Mathematical Physics, Analysis and Geometry, 19 (2016) [ArXiv] [Journal]