Current Duke Appointments & Affiliations
William W. Elliott Assistant Research Professor of Mathematics
·
2026 - Present
Mathematics,
Trinity College of Arts & Sciences
Assistant Research Professor of Mathematics
·
2026 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Scholarly Works
Intermittent Two-Point Dynamics at the Transition to Chaos for Random Circle Endomorphisms
Journal article Communications in Mathematical Physics · May 1, 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 CiteOn 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 CiteEducation
Imperial College London (United Kingdom) ·
2026
Ph.D.