Spectral gap for zero-range dynamics

C. Landim; S. Sethuraman; S. Varadhan

doi:10.1214/aop/1041903209

Spectral gap for zero-range dynamics

C. Landim
, S. Sethuraman
, S. Varadhan

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

Abstract

We give a lower bound on the spectral gap for symmetric zero-range processes. Under some conditions on the rate function, we show that the gap shrinks as n^-2, independent of the density, for the dynamics localized on a cube of size n^d. We follow the method outlined by Lu and Yau, where a similar spectral gap is proved for Kawasaki dynamics.

Original language	English (US)
Pages (from-to)	1871-1902
Number of pages	32
Journal	Annals of Probability
Volume	24
Issue number	4
DOIs	https://doi.org/10.1214/aop/1041903209
State	Published - Oct 1996
Externally published	Yes

Keywords

Dirichlet form
Ergodic measure
Particle systems
Zero-range process

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/aop/1041903209

Cite this

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title = "Spectral gap for zero-range dynamics",

abstract = "We give a lower bound on the spectral gap for symmetric zero-range processes. Under some conditions on the rate function, we show that the gap shrinks as n-2, independent of the density, for the dynamics localized on a cube of size nd. We follow the method outlined by Lu and Yau, where a similar spectral gap is proved for Kawasaki dynamics.",

keywords = "Dirichlet form, Ergodic measure, Particle systems, Zero-range process",

author = "C. Landim and S. Sethuraman and S. Varadhan",

year = "1996",

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doi = "10.1214/aop/1041903209",

language = "English (US)",

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AU - Landim, C.

AU - Sethuraman, S.

AU - Varadhan, S.

PY - 1996/10

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N2 - We give a lower bound on the spectral gap for symmetric zero-range processes. Under some conditions on the rate function, we show that the gap shrinks as n-2, independent of the density, for the dynamics localized on a cube of size nd. We follow the method outlined by Lu and Yau, where a similar spectral gap is proved for Kawasaki dynamics.

AB - We give a lower bound on the spectral gap for symmetric zero-range processes. Under some conditions on the rate function, we show that the gap shrinks as n-2, independent of the density, for the dynamics localized on a cube of size nd. We follow the method outlined by Lu and Yau, where a similar spectral gap is proved for Kawasaki dynamics.

KW - Dirichlet form

KW - Ergodic measure

KW - Particle systems

KW - Zero-range process

UR - https://www.scopus.com/pages/publications/0030352490

UR - https://www.scopus.com/pages/publications/0030352490#tab=citedBy

U2 - 10.1214/aop/1041903209

DO - 10.1214/aop/1041903209

M3 - Article

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SN - 0091-1798

VL - 24

SP - 1871

EP - 1902

JO - Annals of Probability

JF - Annals of Probability

IS - 4

ER -

Spectral gap for zero-range dynamics

Abstract

Keywords

ASJC Scopus subject areas

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