588 citations · 641 across the 42 of their papers we have counts for
4 papers · 1 filter
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…
Counting partitions inside a rectangle
Stephen Melczer, Greta Panova, Robin Pemantle
We consider the number of partitions of whose Young diagrams fit inside an rectangle; equivalently, we study the coefficients of the -binomial coefficient $\…
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…
Diagonal asymptotics for symmetric rational functions via ACSV
Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle +1
We consider asymptotics of power series coefficients of rational functions of the form where is a symmetric multilinear polynomial. We review a number of such cases from…