2 citations · 2 across the 4 of their papers we have counts for
4 papers
Logarithmic terms in discrete heat kernel expansions in the quadrant
Andrew Elvey-Price, Andreas Nessmann, Kilian Raschel
In the context of lattice walk enumeration in cones, we consider the number of walks in the quarter plane with fixed starting and ending points, prescribed step-set and given lengt…
Full asymptotic expansion for orbit-summable quadrant walks and discrete polyharmonic functions
Andreas Nessmann
Enumeration of walks with small steps in the quadrant has been a topic of great interest in combinatorics over the last few years. In this article, it is shown how to compute exact…
Polyharmonic Functions in the Quarter Plane
Andreas Nessmann
While discrete harmonic functions have been objects of interest for quite some time, this is not the case for discrete polyharmonic functions, as appear for instance in the asympto…
Polyharmonic Functions in the Quarter Plane (Extended Abstract)
Andreas Nessmann
In this article, a novel method to compute all discrete polyharmonic functions in the quarter plane for models with small steps, zero drift and a finite group is proposed. A simila…