64 citations · 102 across the 9 of their papers we have counts for
12 papers
Full asymptotics for the parabolic Anderson model with Pareto potential in the heaviest-tailed regime
Nadia Sidorova
The parabolic Anderson model is the Cauchy problem for the heat equation on the integer lattice with a random potential . We consider the case where $\{ξ(z): z\in \mathbb{Z}^d\}…
Time-dependent balls and bins model with positive feedback
Nadia Sidorova
Balls and bins models are classical probabilistic models where balls are added to bins at random according to a certain rule. The balls and bins model with feedback is a non-linear…
Time-dependent Pólya urn
Nadia Sidorova
We consider a time-dependent version of a Pólya urn containing black and white balls. At each time a ball is drawn from the urn at random and replaced in the urn along with $σ_…
A new phase transition in the parabolic Anderson model with partially duplicated potential
Stephen Muirhead, Richard Pymar, Nadia Sidorova
We investigate a variant of the parabolic Anderson model, introduced in previous work, in which an i.i.d.\! potential is partially duplicated in a symmetric way about the origin, w…
Delocalising the parabolic Anderson model through partial duplication of the potential
Stephen Muirhead, Richard Pymar, Nadia Sidorova
The parabolic Anderson model on with i.i.d. potential is known to completely localise if the distribution of the potential is sufficiently heavy-tailed at infinity.…
Small deviations of a Galton-Watson process with immigration
Nadia Sidorova
We consider a Galton-Watson process with immigration , with offspring probabilities and immigration probabilities . In the case when , $p_1\n…