Dear all, 

The Department of Economics and Finance at Luiss University in Rome (https://economiaefinanza.luiss.it) is pleased to announce the following seminar:

Speaker: Alexandra Holzinger, Mathematical Institute, University of Oxford

Title: Fluctuations around the mean-field limit for attractive Riesz interaction kernels in the moderate regime

When: April 3, 14:30

Where: Viale Romania, 32 00197 Rome

Meeting room: 405

Abstract: In this talk I will give a short introduction to moderately interacting particle systems and the general notion of fluctuations around the mean-field limit.

We will see how a central limit theorem can be shown for moderately interacting particles on the whole space for certain types of interaction potentials. The interaction potential approximates singular attractive potentials of sub-Coulomb type and we can show that the fluctuations become asymptotically Gaussians. The methodology is inspired by the classical work of Oelschläger in the 1980s on fluctuations for the porous-medium equation. To allow for attractive potentials we use a new approach of quantitative mean-field convergence in probability in order to include aggregation effects. 


Should you be interested, please kindly send me an e-mail.

Best wishes,

Marta Leocata