Position distribution in a generalised run and tumble process

David S. Dean, Satya N. Majumdar, Hendrik Schawe

We study a class of stochastic processes of the type $\frac{d^{n}x}{d{t}^n}=v_0\sigma (t)$ where $n>0$ is a positive integer and $\sigma (t)=\pm 1$ represents an `active' telegraphic noise th…