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Zoran Vondraček
9:30 am
Zoran Vondraček
Sep 26 @ 9:30 am – 10:30 am
On the Potential Theory of Subordinate Killed Processes. Let \(Z\) be an isotropic stable process in the Euclidean space. The process \(Z\) is killed upon exiting […]
Mirko D’Ovidio
10:30 am
Mirko D’Ovidio
Sep 26 @ 10:30 am – 11:30 am
Random time changes: delayed and rushed motions. Fractional and anomalous diffusions have a long history. The terms fractional and anomalous have been considered with different meaning […]
Larbi Alili
11:45 am
Larbi Alili
Sep 26 @ 11:45 am – 12:30 pm
Space And Time Inversions Of Stochastic Processes And Kelvin Transform. We prove that a space inversion property of a standard Markov process X implies the existence […]
József Lőrinczi
3:00 pm
József Lőrinczi
Sep 26 @ 3:00 pm – 3:30 pm
The location of maxima of some non-local equations. I will consider a class of non-local equations, assuming that their solutions have a global maximum, and discuss […]
Petra Lazić
3:30 pm
Petra Lazić
Sep 26 @ 3:30 pm – 4:00 pm
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 […]
Lorenzo Toniazzi
4:15 pm
Lorenzo Toniazzi
Sep 26 @ 4:15 pm – 4:45 pm
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 […]
Ifan Johnston
4:45 pm
Ifan Johnston
Sep 26 @ 4:45 pm – 5:15 pm
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 […]
Free Discussion
5:15 pm
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Alessandro Taloni
9:30 am
Alessandro Taloni
Sep 27 @ 9:30 am – 10:30 am
The fractional Langevin equation and its application to linear stochastic models. The Generalized Elastic Model accounts for the dynamics of several physical systems, such as polymers, […]
Carlo Manzo
10:30 am
Carlo Manzo
Sep 27 @ 10:30 am – 11:30 am
Molecular organization, diffusion and cell signaling at the cell membrane Cellular signaling is regulated by biochemical interactions that are ultimately controlled by molecular diffusion. Recent advances […]
Trifce Sandev
11:45 am
Trifce Sandev
Sep 27 @ 11:45 am – 12:30 pm
Diffusion and quantum motion under geometric constraints: Fractional calculus approach. Recent developments in modeling of different physical and biological systems undoubtedly confirmed that fractional calculus is […]
Łukasz Płociniczak
12:30 pm
Łukasz Płociniczak
Sep 27 @ 12:30 pm – 1:15 pm
Numerical methods for the time-fractional nonlinear diffusion. We consider a one-dimensional nonlinear diffusion equation with nonlocal time, i.e. the temporal derivative is calculated via the Riemann-Liouville […]
Pedro J. Miana
3:00 pm
Pedro J. Miana
Sep 27 @ 3:00 pm – 3:30 pm
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 […]
Enrico Scalas
3:30 pm
Enrico Scalas
Sep 27 @ 3:30 pm – 4:00 pm
Continuous-time statistics and generalized relaxation equations Using two simple examples, the continuous-time random walk as well as a two state Markov chain, the relation between generalized […]
Silvia Vitali
4:15 pm
Silvia Vitali
Sep 27 @ 4:15 pm – 4:45 pm
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 […]
Xabier Telleria-Allika
4:45 pm
Xabier Telleria-Allika
Sep 27 @ 4:45 pm – 5:15 pm
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 […]
Jorge Cayama
5:30 pm
Jorge Cayama
Sep 27 @ 5:30 pm – 6:00 pm
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 […]
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Luz Roncal
9:30 am
Luz Roncal
Sep 28 @ 9:30 am – 10:30 am
On extension problems and Hardy inequalities in the Heisenberg group. We prove Hardy-type inequalities for fractional powers of the sublaplacian in the Heisenberg group. In order […]
Enrico Valdinoci
10:30 am
Enrico Valdinoci
Sep 28 @ 10:30 am – 11:30 am
Chaotic orbits for nonlocal equations and applications to atom dislocation dynamics in crystals. We consider a nonlocal equation driven by a perturbed periodic potential. We construct […]
Serena Dipierro
11:45 am
Serena Dipierro
Sep 28 @ 11:45 am – 12:30 pm
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 […]
Laura Sacerdote
12:30 pm
Laura Sacerdote
Sep 28 @ 12:30 pm – 1:30 pm
A consistency problem in neural modelling. Coherence between input and output can be obtained using heavy tails distributions. The coherence between the input and the output […]
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