In this talk I will introduce a new interacting particle system consisting of interacting random walks in a trapping environment, known as Bouchaud trap models.

I will show that the hydrodynamic equation emerging from such system is the Fractional Kinetics Equation, a sub-diffusive PDE.

Based on a ongoing project with A. Chiarini (Padova), F. Redig (Delft) and F. Sau (Trieste).

**Date**: 13 February 2023, 14:00 (Monday, 5th week, Hilary 2023)**Venue**: Mathematical Institute

Woodstock Road OX2 6GGSee location on maps.ox**Details**: L3**Speaker**: Simone Floreani (University of Oxford)**Organising department**: Department of Statistics**Part of**: Probability seminar**Booking required?**: Not required**Audience**: Public- Editors: Christina Goldschmidt, Julien Berestycki