Vincent Goverse

Journal article Commun Math Phys · 2026 We establish the existence of intermittent two-point dynamics and infinite stationary measures for a class of random circle endomorphisms with zero Lyapunov exponent, as a dynamical characterisation of the transition from synchronisation (negative Lyapunov ... Full text Link to item Cite

On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape

Journal article Ergodic Theory and Dynamical Systems · July 1, 2024 In this paper, we consider absorbing Markov chains Xn admitting a quasi-stationary measure on M where the transition kernel P admits an eigenfunction 0 ≤ η ∈ L 1 (M, u).We find conditions on the transition densities of P with respect to which ensure that η ... Full text Cite