22 citations · 143 across the 51 of their papers we have counts for
Showing 2018 · math.PRShow all
2 papers · 2 filters
math.PR2018★ 1 cited
An introduction to stochastic processes associated with resistance forms and their scaling limits
David A. Croydon
We introduce and summarise results from the recent paper `Scaling limits of stochastic processes associated with resistance forms', and also applications from `Time-changes of stoc…
math.PR2018★ 18 cited
Dynamics of the box-ball system with random initial conditions via Pitman's transformation
David A. Croydon, Tsuyoshi Kato, Makiko Sasada +1
The box-ball system (BBS), introduced by Takahashi and Satsuma in 1990, is a cellular automaton that exhibits solitonic behaviour. In this article, we study the BBS when started fr…