Analysis & Applications Seminar
Hypercontractivity for a family of quantum Ornstein-Uhlenbeck semigroups
Speaker: Hao Zhang (ICMAT)Date: Friday, 20 March 2026 - 11:30Place: Aula 520, Módulo 17, Departamento de Matemáticas, UAM
Abstract:
We show that a family of quantum Ornstein-Uhlenbeck semigroups is hypercontractive. We also obtain the optimal order of the optimal time up to a constant for those elements whose Gibbs state is zero. At first, I will introduce quantum Ornstein-Uhlenbeck semigroups. Then I will outline the proof. The main ingredient of our proof is Meixner polynomials.
