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math.PR2017
Stochastic PDEs on graphs as scaling limits of discrete interacting systems
Wai-Tong Louis Fan
Stochastic partial differential equations (SPDE) on graphs were introduced by Cerrai and Freidlin [Ann. Inst. Henri Poincaré Probab. Stat. 53 (2017) 865-899]. This class of stochas…
math.PR2017
Necessary and sufficient conditions for consistent root reconstruction in Markov models on trees
Wai-Tong Louis Fan, Sebastien Roch
We establish necessary and sufficient conditions for consistent root reconstruction in continuous-time Markov models with countable state space on bounded-height trees. Here a root…