Robin Pemantle

activity

20002009

most citedA survey of random processes with reinforcement

588 citations · 632 across the 41 of their papers we have counts for

collaborators

Showing 2009Show all

2 papers · 1 filter

math.CO2009

Counting nondecreasing integer sequences that lie below a barrier

Robin Pemantle, Herbert S. Wilf

Given a barrier $0 \leq b_{0} \leq b_{1} \leq ...$ , let $f (n)$ be the number of nondecreasing integer sequences $0 \leq a_{0} \leq a_{1} \leq ... \leq a_{n}$ for which $a_{j} \leq b_{j}$ for all…

math.CO2009

Asymptotic expansions of oscillatory integrals with complex phase

Robin Pemantle, Mark Wilson

We consider saddle point integrals in d variables whose phase function is neither real nor purely imaginary. Results analogous to those for Laplace (real phase) and Fourier (imagin…