Vicente Saavedra Araya
I am a fourth year PhD student under the supervision of Joel Moreira. I am mainly interested in ergodic theory, topological dynamics and symbolic dynamics, and their connections to combinatorics, number theory and probability.
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 Master's thesisLink opens in a new window, I did research about the convergence of semi-random ergodic averages.
Research:
- Hitting times in shrinking targets: Transversality and an ergodic theorem [Arxiv] Link opens in a new window Submitted.
- Distribution of integers with digit restrictions via Markov chains [Arxiv]Link opens in a new window To appear in Ergodic Theory and Dynamical Systems.
- A pointwise ergodic theorem along return times of rapidly mixing systems [Arxiv]Link opens in a new window(with Sebastián Donoso and Alejandro Maass) Bulletin of the London Mathematical Society.
Talks:
- September 2025, Summer School in Ergodic Theory at University of Bristol
- 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:
- December 2025, Dynamics in Patagonia: Celebrating Alejandro Maass' 60th Birthday (Puerto Natales, Chile)
- Semptember 2025, Summer School in Ergodic Theory (Bristol, UK)
- 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)
Contact: vicente dot saavedra-araya at warwick dot ac dot uk
