The study of diffusion with preferential returns to places visited in the past has attracted
increased attention in recent years. In these highly non-Markov processes, a standard …

We study the relaxation of a diffusive particle confined in an arbitrary external potential and
subject to a non-Markovian resetting protocol. With a constant rate r, a previous time τ …

The monkey walk is a stochastic process defined as the trajectory of a walker that moves on
$\mathbb R^ d $ according to a Markovian generator, except at some random" relocation" …

We study an exactly solvable random walk model with long-range memory on arbitrary
networks. The walker performs unbiased random steps to nearest-neighbor nodes and …

We study the relaxation of a Brownian particle with long range memory under confinement in
one dimension. The particle diffuses in an arbitrary confining potential and resets at random …

Weighted recursive trees are built by adding successively vertices with predetermined
weights to a tree: each new vertex is attached to a parent chosen at random with probability …