32 citations · 494 across the 64 of their papers we have counts for
65 papers
Inclusion Statistics
Stéphane Ouvry, Alexios P. Polychronakos
We present a historical review of anyon and exclusion statistics, introduced in the 1980s and 1990s respectively, and then turn to developments in the recently introduced inclusion…
The role of the density of states in Bose-Einstein condensation
Alexios P. Polychronakos, Stephane Ouvry
The onset of Bose-Einstein condensation in systems with { various} densities of states is examined, with particular attention to the role of the behavior of their {energy} spectrum…
Microscopic inclusion statistics in a discrete 1-body spectrum
Stephane Ouvry, Alexios P. Polychronakos
We present the microscopic formulation of inclusion statistics, a counterpoint to exclusion statistics in which particles tend to coalesce more than ordinary bosons. We derive the…
Inclusion statistics and particle condensation in 2 dimensions
Stéphane Ouvry, Alexios P. Polychronakos
We propose a new type of quantum statistics, which we call inclusion statistics, in which particles tend to coalesce more than ordinary bosons. Inclusion statistics is defined in a…
Combinatorics of generalized Dyck and Motzkin paths
Li Gan, Stéphane Ouvry, Alexios P. Polychronakos
We relate the combinatorics of periodic generalized Dyck and Motzkin paths to the cluster coefficients of particles obeying generalized exclusion statistics, and obtain explicit ex…
Algebraic area enumeration for open lattice walks
Stephane Ouvry, Alexios Polychronakos
We calculate the number of open walks of fixed length and algebraic area on a square planar lattice by an extension of the operator method used for the enumeration of closed walks.…