Events

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.

Time and Place: 21 April (Tuesday) 11-12 and 14-15; 24 April (Friday) 11-12 and 14-15