Vicente Saavedra Araya

I am a third year PhD student under the supervision of Joel Moreira. I am mainly interested in dynamical systems, ergodic theory and probability theory. Specifically, my research focuses in the study random ergodic averages and Ramsey ergodic theory.

I am also co-organiser for the DAGGER Seminar.Link opens in a new window

Research:

Distribution of integers with digit restrictions via Markov chains LinkLink opens in a new window
A pointwise ergodic theorem along return times of rapidly mixing systems [Arxiv]Link opens in a new window(with Sebastián Donoso and Alejandro Maass) To appear in the Bulletin of the London Mathematical Society.

Talks:

July 2025, Summer School at EPFL
May 2025, Seminar at the Université de Liège
Jan 2025, Linfoot Number Theory Seminar, University of Bristol
Dec 2024, Dyadisc 7: Brazilian-chilean and french interplay for symbolic dynamics, ISCV
June 2024, DAGGER Seminar, University of Warwick

Conferences:

July 2025, Summer School on Additive Combinatorics, Number Theory, and Ergodic Theory, EPFL (Lausanne, Switzerland)
June 2025, Perspectives on Ergodic Theory and its Interactions — a conference celebrating Vitaly Bergelson’s work and impact, Institute of Mathematics of the Polish Academy of Sciences (Warsaw, Poland)
April 2025, Probability, Analysis and Dynamics, University of Bristol (Bristol, UK)
Dec 2024, Dyadisc 7: Brazilian-chilean and french interplay for symbolic dynamics, ISCV (Valparaiso, Chile)
Aug 2024, NU Trends in Ergodic Theory, Northwestern University (Evanston, Illinois)
July 2024, Dynamical Systems: Geometric and Statistical Properties (University of Warwick)

Education:

Previously, I completed my degree in Mathematical Engineering and Master in Applied Mathematics at the University of Chile under the supervision of Alejandro Maass and Sebastian Donoso. During my thesis, I studied the convergence of random ergodic averages Link

Contact: vicente dot saavedra-araya at warwick dot ac dot uk