Dear all,

we are pleased to invite you to the following seminar, which can be attended also via Zoom.

*Location:* Room n.24, 4th floor, Edificio CU002 (Scienze Statistiche) *Zoom: * https://uniroma1.zoom.us/j/84380852385?pwd=RDBrcVdvelRMM0VmczlXYWgwL2pPZz09

*Time:* *Monday 22nd of January, at 14.30* *Speaker: *Wolfgang Bock (Linnaeus University) *Title:* Recent Results on the Generalized Grey Brownian Motion

*Abstract*:

Grey Brownian motion was introduced by Schneider in 1990. In his work Schneider showed that indeed the process fulfills a Feynman-Kac like formula for the solution of the fractional heat equation. In the 2000s the process was generalized by Mainardi et al. In 2016 the group of Grothaus established a White Noise like calculus for the process, also introducing spaces of test and generalized functions.

In this talk, we will review this recent development and give an overview of the analysis and the most recent results. In an outlook, we give a strategy on how to introduce spaces of regular distributions to obtain a form of regularity theory.

Best regards, L.

*************************************************************** Luisa Beghin Dipartimento di Scienze Statistiche Fac. Ingegneria dell'Informazione, Informatica e Statistica "SAPIENZA" Università di Roma Piazzale Aldo Moro 5, 00185 Roma T (+39) 06 49910543 F (+39) 06 4959241 https://sites.google.com/site/luisabeghin/ *****************************************************************