Wednesday 02.08.2017

Michael Röckner, University of Bielefeld, Germany

Title: ABSOLUTELY CONTINUOUS SOLUTIONS FOR CONTINUITY EQUATIONS IN HILBERT SPACES

Time: 10:00 - 10:45

Room: Anf. 1

Abstract: We prove existence and uniqueness of solutions to continu- ity equation in a separable Hilbert space. We look for solutions which are absolutely continuous with respect to a reference measure γ which is the invariant measure of a reaction–diffusion equation. We exploit that the gradient operator Dx is closable with respect to L

^{p}(H;γ) and a recent formula for the commutator D

_{x}P

_{t}−P

_{t}D

_{x}where P

_{t}is the transition semi- group corresponding to the reaction–diffusion equation, [DaDe14]. We stress that P

_{t}is not necessarily symmetric. Our paper is an extension of [DaFlRo14] where γ was the invariant measure of a suitable Ornstein– Uhlenbeck process.

Nora Müller, University of Bielefeld, Germany

Title: A Translation-formula of Kunitas notation and the stochastic method of characteristics

Time: 11:00 - 11:45

Room: Anf. 1

Katharina von der Lühe, University of Bielefeld, Germany

Title: Pathwise Uniqueness for SDEs with Singular Drift and Nonconstant Diffusion

Time: 12:00 - 12:45

Room: Anf. 1

Friday 04.08.2017

José Luís da Silva, University of Madeira, Portugal

Title: From Form Factors of paths for ggBm to Fractional Time differential equations

Time: 10:00 - 10:45

Room: Anf. 1

Wolfgang Bock, University of Kaiserslautern, Germany

Title: Generalized Traces and Regular Transformation Groups in White Noise Analysis

Time: 11:00 - 11:45

Room: Anf. 1

Lukas Wresch, University of Bielefeld, Germany

Title: Path-by-Path Uniqueness for SDEs in infinite dimensions

Time: 12:00 - 12:45

Room: Anf. 1

Monday 07.08.2017

Torben Fattler, University of Kaiserslautern, Germany

Title: A semigroup approach in agent-based modeling of spacially inhomogeneous

disease dynamics, Vlasov-scaling and corresponding limiting equations

Time: 10:00 - 10:45

Room: Anf. 1

Abstract: In this talk we set up a microscopic model for the spread of an

infectious disease based on configuration space analysis. The

construction of the dynamics is done via semigroup techniques. Using the

so-called Vlasov-scaling we obtain also the corresponding mesoscopic

equations, describing the density of susceptible, infected and recovered

individuals (particles) in space. The resulting system of equations can

be seen as a generalization to a ‚spatial‘ SIR-model. The equations

showing up in the limiting system are of type which is know in

literature as Fisher-KPP type.

Naveen Kumar Mahato, University of Kaiserslautern, Germany

Title: Particle methods for Multi-group pedestrian flow

Time: 11:00 - 11:45

Room: Anf. 1

Maria João Oliveira, Universidade Aberta, Portugal

Title: An infinite dimensional umbral calculus

Time: 12:00 - 12:45

Room: Anf. 1