Spectral properties of a class of non-local operators via a stochastic representation

Stochastic Analysis Seminar Series

Fractional Schrödinger and jump-diffusion operators provide useful tools in modelling relativistic quantum and anomalous kinetic phenomena. Driven by such applications I will formulate some problems involving spectral and analytic properties of evolution semigroups generated by these operators. By using a Feynman-Kac representation of the semigroups I will explain how to obtain the desired spectral information by exploiting the properties of the stochastic processes the given operators give rise to.



Jozsef Lorinczi (Loughborough University)

Monday, February 6, 2012 - 14:15
to 15:15