588 citations · 741 across the 78 of their papers we have counts for
89 papers
Asymptotics of multivariate sequences IV: generating functions with poles on a hyperplane arrangement
Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle
Let F be the quotient of an analytic function with a product of linear functions. Working in the framework of analytic combinatorics in several variables, we compute asymptotic for…
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…
Stationary points at infinity for analytic combinatorics
Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle
On complex algebraic varieties, height functions arising in combinatorial applications fail to be proper. This complicates the description and computation via Morse theory of key t…
Asymptotics of multivariate sequences in the presence of a lacuna
Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle
We explain a discontinuous drop in the exponential growth rate for certain multivariate generating functions at a critical parameter value, in even dimensions d at least 4. This re…
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 $\…