377 citations
- Institut Henri PoincaréFR11 papers
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4 papers · 1 filter
Integer Partitions and Exclusion Statistics
Alain Comtet, Satya N. Majumdar, Stephane Ouvry
We provide a combinatorial description of exclusion statistics in terms of minimal difference partitions. We compute the probability distribution of the number of parts in a ra…
Level Density of a Bose Gas and Extreme Value Statistics
A. Comtet, P. Leboeuf, Satya N. Majumdar
We establish a connection between the level density of a gas of non-interacting bosons and the theory of extreme value statistics. Depending on the exponent that characterizes the…
General flux to a trap in one and three dimensions
Robert M. Ziff, Satya N. Majumdar, Alain Comtet
The problem of the flux to a spherical trap in one and three dimensions, for diffusing particles undergoing discrete-time jumps with a given radial probability distribution, is sol…
Unified Solution of the Expected Maximum of a Random Walk and the Discrete Flux to a Spherical Trap
Satya N. Majumdar, Alain Comtet, Robert M. Ziff
Two random-walk related problems which have been studied independently in the past, the expected maximum of a random walker in one dimension and the flux to a spherical trap of par…