Non-Local Dynamics

Information

• Date: April 23rd (Wed) 9:30 -- 25th (Fri) 16:30, 2025

• Venue: Alfréd Rényi Institute of Mathematics, Tondós lecture hall, 2nd floor, Reáltanoda utca 13-15, 1053 Budapest  map 

Description

This workshop will address diverse aspects of current research in the field of non-local operators, integro-differential equations and related random processes with jump discontinuities. The involved subjects include singular integrals, spatially non-local operators (such as fractional Laplacians), time-fractional equations (with Caputo derivatives), non-local Schrödinger operators, stochastic differential equations with Lévy noise, Lie symmetries, Feller processes and semi-Markov processes. We aim to highlight the interactions of these problems, leading to new techniques in a framework generating new mathematical phenomenology.

Invited Speakers

• Giacomo Ascione (Scuola Superiore Meridionale, Naples)

• Arran Fernandez (Eastern Mediterranean University and Sultan Qaboos University)

• Ágota P. Horváth (Budapest University of Technology and Economics)

• Atsuhide Ishida (Tokyo University of Science)

• Péter Kevei (University of Szeged)

• Mihály Kovács (Budapest University of Technology and Economics)

• Paul Lescot (University of Rouen Normandy)

• József Lőrinczi (Alfréd Rényi Institute of Mathematics)

• Enrico Scalas (Sapienza University, Rome)

Program (PDF version is here)

April 23rd (Wed) Stochastic Analysis for Jump Dynamics

9:30--10:00 Welcome and Opening, 2nd floor foyer

10:00--11:00 József Lőrinczi (Alfréd Rényi Institute of Mathematics)

Functional integral representation for semigroups generated by non-local operators [abstract]

Coffee Break (11:00--11:30)

11:30--12:30 Péter Kevei (University of Szeged)

Intermittency and almost sure properties of the solution to the stochastic heat equation with Lévy noise [abstract]

Lunch Break (12:30--14:30)

14:30--15:30 Paul Lescot (University of Rouen Normandy)

Symmetries of forward-backward stochastic differential equations [abstract] 

Coffee Break (15:30--16:00)

16:00--18:00 Free Discussion

April 24th (Thu) Fractional Calculus and Related Equations

10:00--11:00 Enrico Scalas (Sapienza University, Rome)

Time-changed Markov processes and coupled non-local equations [abstract]

Coffee Break (11:00--11:30)

11:30--12:30 Arran Fernandez (Eastern Mediterranean University and Sultan Qaboos University)

Mikusiński's operational calculus used to solve systems of fractional differential equations [abstract]

Lunch Break (12:30--14:30)

14:30--15:30 Mihály Kovács (Budapest University of Technology and Economics)

Nonlinear semigroups for nonlocal conservation laws [abstract]

Coffee Break (15:30--16:00)

16:00--18:00 Free Discussion

April 25th (Fri) Non-Local Schrödinger Operators

10:00--11:00 Giacomo Ascione (Scuola Superiore Meridionale, Naples)

Local properties of ground states of pseudo-relativistic Schrödinger equations with spherical potential wells [abstract]

Coffee Break (11:00--11:30)

11:30--12:30 Ágota P. Horváth (Budapest University of Technology and Economics)

Removable sets for fractional Bessel-heat equation [abstract]

Lunch Break (12:30--14:30)

14:30--15:30 Atsuhide Ishida (Tokyo University of Science)

Rollnik-type perturbations for fractional Schrödinger operators [abstract]

Coffee Break (15:30--16:00)

16:00--18:00 Free Discussion

This workshop is free to attend, with no prior registration required.

Organizers

• Atsuhide Ishida (Tokyo University of Science) 

• József Lőrinczi (Alfréd Rényi Institute of Mathematics)

This workshop is supported by

• JSPS Fund for the Promotion of Joint International Research (Fostering Joint International Research (A)) 21KK0245 Atsuhide Ishida

We also thank Máté Matolcsi and Dániel Virosztek for their partial local supports.

Contact: aishida[at]rs.tus.ac.jp