Program

 

Ergodicity of Diffusion Processes In this talk, I will discuss ergodic properties of diffusion processes focusing on the rate of convergence of the marginals of the […]

Caputo evolution equations with time-nonlocal initial condition Consider the Caputo evolution equation (EE) \(\partial^\beta_t u = \Delta u\) with initial condition \(\phi\) on \(\{0\}\times\mathbb R^d\). As […]

Heat kernel estimates for fractional evolution equations. In 1967 Aronson showed that the fundamental solution of the heat equation for a second order uniformly elliptic operator […]

 

Fractional finite differences and generalized Cesáro operators. In this talk, we present a complete spectral research of generalized Cesàro operators on Sobolev-Lebesgue sequence spaces. The main […]

Langevin dynamics in heterogeneous media and anomalous diffusion Anomalous diffusion is widely observed in biological systems. Lot of efforts have been dedicated to derive models in […]

Fractional Calculus and the Particle in the Ring Arbitrary order calculus is a natural generalisation of usual calculus in which the order of differentiation and integration […]

A pseudo-spectral method for a non-local Fractional Fisher-KPP equation We develop a pseudo-spectral method to solve initial-value problems associated to PDEs involving the fractional Laplacian operator […]

 

Symmetry properties for long-range phase coexistence models. We discuss some recent results on nonlocal phase transitions modelled by the fractional Allen-Cahn equation, also in connection with […]