32 citations · 140 across the 26 of their papers we have counts for
3 papers · 1 filter
Singularity analysis for heavy-tailed random variables
Nicholas M. Ercolani, Sabine Jansen, Daniel Ueltschi
We propose a novel complex-analytic method for sums of i.i.d. random variables that are heavy-tailed and integer-valued. The method combines singularity analysis, Lindelöf integral…
Random partitions in statistical mechanics
Nicholas M. Ercolani, Sabine Jansen, Daniel Ueltschi
We consider a family of distributions on spatial random partitions that provide a coupling between different models of interest: the ideal Bose gas; the zero-range process; particl…
Cycle structure of random permutations with cycle weights
Nicholas M. Ercolani, Daniel Ueltschi
We investigate the typical cycle lengths, the total number of cycles, and the number of finite cycles in random permutations whose probability involves cycle weights. Typical cycle…