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math.PR2020

Fractional Cauchy problem on random snowflakes

Raffaela Capitanelli, Mirko D'Ovidio

We consider time-changed Brownian motions on random Koch (pre-fractal and fractal) domains where the time change is given by the inverse to a subordinator. In particular, we study…

math.PR2018

Delayed and rushed motions through time change

Raffaela Capitanelli, Mirko D'Ovidio

We introduce a definition of delayed and rushed processes in terms of lifetimes of base processes and time-changed base processes. Then, we consider time changes given by subordina…