Diffusion through semi-permeable structures arises in a wide range of processes in the
physical and life sciences. Examples at the microscopic level range from artificial …

We consider the dynamics of lattice random walks with resetting. The walker moving
randomly on a lattice of arbitrary dimensions resets at every time step to a given site with a …

Diffusion through semipermeable interfaces has a wide range of applications, ranging from
molecular transport through biological membranes to reverse osmosis for water purification …

A variety of transport processes in natural and man-made systems are intrinsically random.
To model their stochasticity, lattice random walks have been employed for a long time …

We derive, through subordination techniques, a generalized Feynman–Kac equation in the
form of a time fractional Schrödinger equation. We relate such equation to a functional which …

Abstract The Arcsine laws of Brownian motion are a collection of results describing three
different statistical quantities of one-dimensional Brownian motion: the time at which the …

We derive general bounds on the probability that the empirical first-passage time τ n≡∑ i=
1 n τ i/n of a reversible ergodic Markov process inferred from a sample of n independent …

We study the lattice random walk dynamics in a heterogeneous space of two media
separated by an interface and having different diffusivity and bias. Depending on the …

Diffusion in heterogeneous media partitioned by semipermeable interfaces has a wide
range of applications in the physical and life sciences, ranging from thermal conduction in …

The ability to quantify when and where animals interact is key to the understanding of a
plethora of ecological processes, from the structure of social communities and predator-prey …