Поредната  сбирка на  Националния семинар по стохастика ще се проведе на 31 май 2017 г. (сряда) от 14 часа в зала 403 на ИМИ - БАН с доклад на Jozsef Lorinczi

на тема:

Some spectral properties of non-local Schrödinger operators and related jump processes

Абстракт: A non-local Schrödinger operator is the sum of a pseudo-differential operator (such as the Laplacian with fractional exponents) and a multiplication operator called potential. Dependent on the behaviour of the potential at infinity, the spectrum of the operator sum may differ strongly from the spectrum of the unperturbed pseudo-differential operator, and a whole range of spectral and semigroup properties emerge. The spectral problem can be analysed by turning it into a problem of probability via a Feynman-Kac representation, and looking at a random process evolving in a potential landscape. In this talk I will explain this relationship, and survey recent results on the properties of ground states.