Short course on anomalous subdiffusion
Prof. Zhen-Qing Chen (University of Washington) will give a short course on Anomalous subdiffusion during his visit of Warwick from 13 April-1 May in 2026.
Time and Place: 21 April (Tuesday) 11-12 and 14-15; 24 April (Friday) 11-12 and 14-15
Title: Anomalous subdiffusion and time-fractional differential equations
Short description:
Anomalous diffusion has been observed in many natural systems, from cellular signalling and animal foraging to contaminant transport in groundwater. This short course consists of two parts. We will first discuss the interplay between anomalous subdiffusions and time-fractional differential equations, including how they arise naturally as scaling limits of random walks. We will then present some recent results, in particular probabilistic representations for solutions of time-fractional equations with source terms. A notable feature is the appearance of two fundamental solutions. We will also discuss applications to scaling limits of trap models and two-sided estimates of fundamental solutions for time-fractional parabolic equations.
Anomalous diffusion has been observed in many natural systems, from cellular signalling and animal foraging to contaminant transport in groundwater. This short course consists of two parts. We will first discuss the interplay between anomalous subdiffusions and time-fractional differential equations, including how they arise naturally as scaling limits of random walks. We will then present some recent results, in particular probabilistic representations for solutions of time-fractional equations with source terms. A notable feature is the appearance of two fundamental solutions. We will also discuss applications to scaling limits of trap models and two-sided estimates of fundamental solutions for time-fractional parabolic equations.
There will also be a conference Recent Advances in Stochastic Analysis and Control on 1 May.
Supported by the Centre for Research in Statistical Methodology (CRiSM) and the Heilbronn Institute for Mathematical Research.
