21 citations · 27 across the 4 of their papers we have counts for
4 papers
Asymptotics for the number of zero drift reflectable walks in a Weyl chamber of type A
Thomas Feierl
We study lattice walks in a Weyl chamber of type A with fixed or free end points. For lattice walk models with zero drift that may be counted by means of a reflection argument, we…
Asymptotics for the number of walks in a Weyl chamber of type B
Thomas Feierl
We consider lattice walks in confined to the region with fixed (but arbitrary) starting and end points. The walks are required to be "reflectable", that i…
The height and range of watermelons without wall
Thomas Feierl
We determine the weak limit of the distribution of the random variables "height" and "range" on the set of p-watermelons without wall restriction as the number of steps tends to in…
The height of watermelons with wall
Thomas Feierl
We derive asymptotics for the moments as well as the weak limit of the height distribution of watermelons with p branches with wall. This generalises a famous result of de Bruijn,…