A micro-macro variational formula for the free energy of a many-body system with unbounded marks-Reference-Cited by-同舟云学术

A micro-macro variational formula for the free energy of a many-body system with unbounded marks

Published:2023-01-01 Issue:none Volume:28 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Collin Orphée¹,Jahnel Benedikt²,König Wolfgang³

Affiliation:

1. Université Paris Cité and Sorbonne Université, CNRS, Laboratoire de Probabilités, Statistique et Modélisation, 75013 Paris, France

2. Technische Universität Braunschweig, Universitätsplatz 2, 38106 Braunschweig, and Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany

3. Technische Universität Berlin, Str. des 17. Juni 136, 10623 Berlin, and Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference17 articles.

1. S. Adams, A. Collevecchio and W. König, A variational formula for the free energy of an interacting many-particle system. Ann. Probab. 39:2, 683–728 (2011).

2. I. Armendáriz, P.A. Ferrari, and S. Yuhjtman, Gaussian random permutation and the boson point process. Comm. Math. Phys. 387:3, 1515–1547 (2021).

3. E. Bolthausen, W. König, and Ch. Mukherjee, Bose–Einstein condensate and the self-avoiding walk, in preparation (2023+).

4. R.P. Feynman, Atomic theory of the λ transition in Helium. Phys. Rev. 91, 1291–1301 (1953).

5. K.-H. Fichtner, On the position distribution of the ideal Bose gas. Math. Nachr. 151, 59–67 (1991).

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