Al-Khwarizmi
Applied Mathematics Webinar 

Next talk : October 07, 2026. 

Wednesday - 2:00 pm (GMT) 

Zoom link: https://ksu-hub.zoom.us/j/97753107489

Speaker: Jendoubi Souheyl, University Tunis Elmanar, Tunisia. 

Title: Ornstein-Uhlenbeck operators induced by the  Berezin-Weyl-Segal-Bargmann-Fock models. 

Abstract:  Let G be a non-compact connected and simply connected nilpotent Lie subgroup of GLn(C) acting holomorphically on the Euclideancomplex plane C and having an irreducible unitary representation (Tg)g∈G on the reproducing kernel Hilbert space of holomorphic functions HL2(C, dμ), where μ is a probability measure on C and let ρ de-notes the innitesimal representation associated to Tg. We prove that each quintuple (G,C, Tg, ρ, μ) induces naturally an Ornstein-Uhlenbeck operator (phenomenon) analog to the Langevin stochastic dynamics. Moreover, we study the perturbation of these operators in some equivalent models. We illustrate our study by considering unitary holomorphic representations of the Heisenberg group H3 = C × R and the Engel group G4 in the Berezin-Weyl-Segal-Bargmann-Fock models.