动力系统讨论班

报告题目：Finite-prefix equidistribution and intersections with Cantor dusts

报  告  人：奚李峰（宁波大学）

时        间：2026年10月24日(星期六），10:00-11:00

地        点：海纳苑2幢101

摘  要：This talk studies the intersection problems in Cantor-type sets, with applications to the Fermat equation $x^n+y^n=1$.

    We provide a geometric criterion for determining whether nonlinear images of self-similar fractals contain interior points, and develop Fourier decay theory for self-similar measures to obtain a discrete finite-prefix equidistribution principle, which connects finite symbolic structures of self-similar sets with continuous distribution phenomena. The results reveal a connection between fractal geometry, dynamical methods, and number theory, and provide a framework for studying nonlinear equations on sparse fractal sets.  This is a joint work with Professor Jiang.

联系人：阮火军（ruanhj@zju.edu.cn）