GENERAL COMPUTATIONAL AND ANALYTICAL METHODSOpen Access

DECAY TO EQUILIBRIUM FOR JUMP PROCESSES WITH HEAVY TAILS

JOSÉ LUÍS DA SILVA

Centro de Ciéncias Matemáticas, University of Madeira, Campus da Penteada, 9020-105 Funchal, Madeira, Portugal

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and

TOBIAS KUNA

Department of Mathematics, University of Reading, PO Box 220, Reading, Berkshire, RG6 6AX, UK

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https://doi.org/10.1142/S2010194512008021Cited by:0 (Source: Crossref)

Abstract

The case is made for a more careful analysis of the large time asymptotic of infinite particle systems in the thermodynamic limit beyond zero density. The insufficiency of current analysis even in the model case of free particles is demonstrated. Recent advances based on more sophisticated analytical tools like functions of mean variation and Hardy spaces are sketched.

Keywords:

PACS: 11.25.Hf, 123.1K

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DECAY TO EQUILIBRIUM FOR JUMP PROCESSES WITH HEAVY TAILS

Abstract

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