MONOTONE INDEPENDENCE, COMB GRAPHS AND BOSE–EINSTEIN CONDENSATION-Reference-Cited by-同舟云学术

MONOTONE INDEPENDENCE, COMB GRAPHS AND BOSE–EINSTEIN CONDENSATION

Published:2004-09 Issue:03 Volume:07 Page:419-435
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

ACCARDI LUIGI¹,BEN GHORBAL ANIS²,OBATA NOBUAKI³

Affiliation:

1. Università di Roma 2, Via Columbia 2, I-00133 Rome, Italy

2. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Friedrich-Ludwig-Jahn-Straße 15a, D-17487 Greifswald, Germany

3. Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan

Abstract

The adjacency matrix of a comb graph is decomposed into a sum of monotone independent random variables with respect to the vacuum state. The vacuum spectral distribution is shown to be asymptotically the arcsine law as a consequence of the monotone central limit theorem. As an example the comb lattice is studied with explicit calculation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025704001645

Reference25 articles.

1. Interacting Fock Spaces and Gaussianization of Probability Measures

2. Bose-Einstein condensation in inhomogeneous Josephson arrays

3. Bose-Einstein condensation on inhomogeneous complex networks

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