Program

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9:30 am Zoran Vondraček
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 […]
10:30 am Mirko D’Ovidio
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 […]
11:30 am Coffee Break
Coffee Break
Sep 26 @ 11:30 am – 11:45 am
 
11:45 am Larbi Alili
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 […]
1:15 pm Lunch
Lunch
Sep 26 @ 1:15 pm – 3:00 pm
 
3:00 pm József Lőrinczi
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 […]
3:30 pm Petra Lazić
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 […]
4:00 pm Coffee Break
Coffee Break
Sep 26 @ 4:00 pm – 4:15 pm
 
4:15 pm Lorenzo Toniazzi
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 […]
4:45 pm Ifan Johnston
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 […]
5:15 pm Free Discussion
Free Discussion
Sep 26 @ 5:15 pm – 7:00 pm
 
9:30 am Alessandro Taloni
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, […]
10:30 am Carlo Manzo
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 […]
11:30 am Coffee Break
Coffee Break
Sep 27 @ 11:30 am – 11:45 am
 
11:45 am Trifce Sandev
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 […]
12:30 pm Łukasz Płociniczak
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 […]
1:15 pm Lunch
Lunch
Sep 27 @ 1:15 pm – 3:00 pm
 
3:00 pm Pedro J. Miana
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 […]
3:30 pm Enrico Scalas
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 […]
4:00 pm Coffee Break
Coffee Break
Sep 27 @ 4:00 pm – 4:15 pm
 
4:15 pm Silvia Vitali
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 […]
4:45 pm Xabier Telleria-Allika
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 […]
5:15 pm Coffee Break
Coffee Break
Sep 27 @ 5:15 pm – 5:30 pm
 
5:30 pm Jorge Cayama
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 […]
8:30 pm Social Dinner
Social Dinner
Sep 27 @ 8:30 pm – 10:30 pm
 
9:30 am Luz Roncal
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 […]
10:30 am Enrico Valdinoci
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 […]
11:30 am Coffee Break
Coffee Break
Sep 28 @ 11:30 am – 11:45 am
 
11:45 am Serena Dipierro
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 […]
12:30 pm Laura Sacerdote
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 […]
3:15 pm Lunch
Lunch
Sep 28 @ 3:15 pm – 5:00 pm
 
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