Topic: Repellers of random walks

Speaker: Prof. Marcelo Viana, Institute for Pure and Applied Mathematics (IMPA), Brazil

Time: Thursday, September 11, 2025, 15:50 PM

Venue: Room 803, Building E, Shahe Campus

Registration:

Students from School of Mathematical Sciences, Zhizhen College and Hualuogeng Elite Program of Shen Yuan Honors College can click the link below to participate.

https://bykc.buaa.edu.cn

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Abstract:

In a recent joint paper with Artur Avila and Alex Eskin, we prove that the Lyapunov exponents of compactly supported random products of matrices vary continuously with the underlying probability distribution on the linear group, with respect to a suitable topology. The proof is based on a detailed analysis of the dynamics of the random walk associated with the probability distribution.

About the Speaker:

Marcelo Viana, Professor and Director of the Institute for Pure and Applied Mathematics (IMPA) in Brazil, and Academician of the Brazilian Academy of Sciences and The World Academy of Sciences. Viana has also served as the Vice-President and Member of the Executive Committee of the International Mathematical Union and the President of the Brazilian Mathematical Society. Additionally, he was the Chair of the Organizing Committee for the 2018 International Congress of Mathematicians.

Viana has been engaged in long-term research in the fields of dynamical systems and ergodic theory, achieving significant results. He has published over 80 papers in prestigious mathematical journals such as the Annals of Mathematics, Acta Mathematica, and Inventiones Mathematicae. He has received awards including the Ramanujan Prize and The World Academy of Sciences Prize, and was invited to deliver 45-minute (1994) and one-hour (1998) lectures at the International Congress of Mathematicians.