Zobrazeno 1 - 10
of 521
pro vyhledávání: '"Ouvry, P"'
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 microscopic occupation multiplicities of 1-body quantum states and sho
Externí odkaz:
http://arxiv.org/abs/2402.03429
Publikováno v:
Phys. Rev. E 107, L062102 (2023)
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 analogy with exclusion statistics, in which statistical exclusion is st
Externí odkaz:
http://arxiv.org/abs/2303.08835
Publikováno v:
Phys. Rev. E 106, 044123 (2022)
We relate the combinatorics of periodic generalized Dyck and Motzkin paths to the cluster coefficients of particles obeying generalized exclusion statistics, and obtain explicit expressions for the counting of paths with a fixed number of steps of ea
Externí odkaz:
http://arxiv.org/abs/2207.07664
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. The open walk area is defined by closing the walks with a straight li
Externí odkaz:
http://arxiv.org/abs/2206.12428
We give a summary of recent progress on the algebraic area enumeration of closed paths on planar lattices. Several connections are made with quantum mechanics and statistical mechanics. Explicit combinatorial formulae are proposed which rely on sums
Externí odkaz:
http://arxiv.org/abs/2110.09394
Publikováno v:
Phys. Rev. E 105, 014112 (2022)
We study the enumeration of closed walks of given length and algebraic area on the honeycomb lattice. Using an irreducible operator realization of honeycomb lattice moves, we map the problem to a Hofstadter-like Hamiltonian and show that the generati
Externí odkaz:
http://arxiv.org/abs/2107.10851
Publikováno v:
Nucl. Phys. B 972, 115573 (2021)
We formulate and study the microscopic statistical mechanics of systems of particles with exclusion statistics in a discrete one-body spectrum. The statistical mechanics of these systems can be expressed in terms of effective single-level grand parti
Externí odkaz:
http://arxiv.org/abs/2105.14042
Autor:
Francis Matthews, Gert Verstraeten, Pasquale Borrelli, Matthias Vanmaercke, Jean Poesen, An Steegen, Aurore Degré, Belén Cárceles Rodríguez, Charles Bielders, Christine Franke, Claire Alary, David Zumr, Edouard Patault, Estela Nadal-Romero, Ewa Smolska, Feliciana Licciardello, Gilles Swerts, Hans Thodsen, Javier Casalí, Javier Eslava, Jean-Baptiste Richet, Jean-François Ouvry, Joaquim Farguell, Jolanta Święchowicz, João Pedro Nunes, Lai Ting Pak, Leonidas Liakos, Miguel A. Campo-Bescós, Mirosław Żelazny, Morgan Delaporte, Nathalie Pineux, Nathan Henin, Nejc Bezak, Noemí Lana-Renault, Ourania Tzoraki, Rafael Giménez, Tailin Li, Víctor Hugo Durán Zuazo, Vincenzo Bagarello, Vincenzo Pampalone, Vito Ferro, Xavier Úbeda, Panos Panagos
Publikováno v:
Scientific Data, Vol 10, Iss 1, Pp 1-13 (2023)
Abstract As a network of researchers we release an open-access database (EUSEDcollab) of water discharge and suspended sediment yield time series records collected in small to medium sized catchments in Europe. EUSEDcollab is compiled to overcome the
Externí odkaz:
https://doaj.org/article/08d2ae60a07a462e97d982469e9cd56e
Publikováno v:
Phys. Rev. E 104, 014143 (2021)
We use a Hamiltonian (transition matrix) description of height-restricted Dyck paths on the plane in which generating functions for the paths arise as matrix elements of the propagator to evaluate the length and area generating function for paths wit
Externí odkaz:
http://arxiv.org/abs/2103.15827
We introduce a shifted version of the binomial theorem, and use it to study some remarkable trigonometric integrals and their explicit rewriting in terms of binomial multiple sums. Motivated by the expressions of area generating functions arising in
Externí odkaz:
http://arxiv.org/abs/2010.07304