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Stochastic Analysis, Stochastic Partial Differential Equations and Applications to Fluid Dynamics and Particle Systems

seminar: A Bochner type theorem for Bogoliubov functionals

speaker: Tobias Kuna (La Sapienza, Roma and Bielefeld, Germany)

abstract: In the framework of finite dimensional vector spaces, a function is the Fourier transform of a measure if and only if it is positive-semi-definite. This classical result of Bochner has an extension to infinite dimensional nuclear spaces, known as Minlos theorem. In this talk I want to present an analogous result for point processes. One may express then states of particle systems in terms of this so-called Bogoliubov functionals. The technical challenge is to identify the non-linear support of the measure.

timetable:
Mon 5 Jun, 14:50 - 15:20, Aula Mancini
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