数学博士后科研流动站 - 博士后出站报告（Carllos Eduardo Holanda 博士）

报告题目：Nonlinear dimension spectra, full measures and nontypical points

报告人：Carllos Eduardo Holanda 博士(汕头大学)

报告时间：2025年5月10日 10:30

报告地点：东海岸校区-D实232

摘要：We obtain nonlinear conditional variational principles for families of continuous potentials, with and without uniqueness of equilibrium states. This includes discussing the connection with the topological pressure, giving a detailed analysis of nonlinear level sets, and providing information on full measures. We apply our results in particular to describe the relation between the dimension spectrum and the classical topological pressure, to study the dimension of sets of nontypical points with respect to nonlinear perturbations of Birkhoff's averages and some multiple ergodic averages.