报告人：张裕烽(加拿大阿尔伯塔大学)

报告时间：6月19日09:30-10:30

报告地点：腾讯会议549-329-350

摘要：We address the following question: Can the mixing properties of a dynamical system be inferred from the spectra of its perturbed counterparts? It is well-known that exponential mixing is equivalent to the spectral gap of the Perron-Frobenius operator, i.e., a gap between the eigenvalue 1 and the next largest eigenvalue. Baladi and Young have shown the robustness of spectral gaps for exponentially mixing systems under perturbations. In our work, we prove that if the perturbed systems' Perron-Frobenius operators exhibit a uniform spectral gap, then the original (unperturbed) system must be exponentially mixing.



邀请人：杨大伟