Speaker: 张涵，深圳大学

Inviter: 何伟鲲

Title: On effective equidistribution for product-type self-affine measures

Language: Chinese

Time & Venue: 2026.11.20 14:00-15:00 南楼N913

Abstract: We will discuss an effective equidistribution result on homogeneous spaces for expanding translates of product-type self-affine measures along any sequence of diagonal elements drifting away from walls of the expanding cone. The main new ingredients in the proof include an adaptation of the methods developed in our previous joint work with Bénard and He to the setting of product-type self-affine measures, as well as a weighted effective recurrence theorem for intertwined associated random walks. The latter involves decomposing the random walks according to suitable stopping times and applications of intertwined Benoist-Quint height functions.