588 citations · 741 across the 78 of their papers we have counts for
64 papers · 1 filter
Success probability for selectively neutral invading species in the line model with a random fitness landscape
Suzan Farhang-Sardroodi, Natalia L. Komarova, Marcus Michelen +1
We consider a spatial (line) model for invasion of a population by a single mutant with a stochastically selectively neutral fitness landscape, independent from the fitness landsca…
Euclidean Embedding of the Poisson Weighted Infinite Tree and Application to Mobility Models
R. W. R. Darling, Robin Pemantle
Continuous time branching models are used to create random fractals in a Euclidean space, whose Hausdorff dimension is controlled by an input parameter. Finite realizations are app…
Quenched Survival of Bernoulli Percolation on Galton-Watson Trees
Marcus Michelen, Robin Pemantle, Josh Rosenberg
We explore the survival function for percolation on Galton-Watson trees. Letting represent the probability a tree survives Bernoulli percolation with parameter , we…
Subpolynomial trace reconstruction for random strings and arbitrary deletion probability
Nina Holden, Robin Pemantle, Yuval Peres +1
The insertion-deletion channel takes as input a bit string , and outputs a string where bits have been deleted and inserted independently at random. The trac…
Invasion Percolation on Galton-Watson Trees
Marcus Michelen, Robin Pemantle, Josh Rosenberg
We consider invasion percolation on Galton-Watson trees. On almost every Galton-Watson tree, the invasion cluster almost surely contains only one infinite path. This means that for…
Multivariate CLT follows from strong Rayleigh property
Subhroshekhar Ghosh, Thomas M. Liggett, Robin Pemantle
Let be random variables taking nonnegative integer values and let be the probability generating function. Suppose that is real sta…