243 citations · 1.3k across the 48 of their papers we have counts for
Showing 2020 · math.PRShow all
2 papers · 2 filters
math.PR2020
Alternative probabilistic representations of Barenblatt-type solutions
Alessandro De Gregorio, Roberto Garra
A general class of probability density functions \[u(x,t)=Ct^{-αd}\left (1-\left (\frac{\|x\|}{ct^α}\right )^β\right )_+^γ,\quad x\in \mathbb{R}^d,t>0,\] is considered, containing…
math.PR2020★ 10 cited
Probability distributions for the run-and-tumble models with variable speed and tumbling rate
Luca Angelani, Roberto Garra
In this paper we consider a telegraph equation with time-dependent coefficients, governing the persistent random walk of a particle moving on the line with a time-varying velocity…