Fluctuations in an evolutional model of two-dimensional Young diagrams

Tadahisa Funaki; Makiko Sasada; Martin Sauer; Bin Xie

doi:10.1016/j.spa.2012.12.005

Fluctuations in an evolutional model of two-dimensional Young diagrams

Tadahisa Funaki
, Makiko Sasada
, Martin Sauer
, Bin Xie

数理科学科

研究成果: Article › 査読

3 被引用数 (Scopus)

抄録

We discuss the non-equilibrium fluctuation problem, which corresponds to the hydrodynamic limit established by Funaki and Sasada (2010) [9], for the dynamics of two-dimensional Young diagrams associated with the uniform and restricted uniform statistics, and derive linear stochastic partial differential equations in the limit. We show that their invariant measures are identical to the Gaussian measures which appear in the fluctuation limits in the static situations.

本文言語	English
ページ（範囲）	1229-1275
ページ数	47
ジャーナル	Stochastic Processes and their Applications
巻	123
号	4
DOI	https://doi.org/10.1016/j.spa.2012.12.005
出版ステータス	Published - 2013

ASJC Scopus subject areas

統計学および確率
モデリングとシミュレーション
応用数学

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10.1016/j.spa.2012.12.005

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引用スタイル

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title = "Fluctuations in an evolutional model of two-dimensional Young diagrams",

abstract = "We discuss the non-equilibrium fluctuation problem, which corresponds to the hydrodynamic limit established by Funaki and Sasada (2010) [9], for the dynamics of two-dimensional Young diagrams associated with the uniform and restricted uniform statistics, and derive linear stochastic partial differential equations in the limit. We show that their invariant measures are identical to the Gaussian measures which appear in the fluctuation limits in the static situations.",

keywords = "Exclusion process, Fluctuation, Hydrodynamic limit, Young diagram, Zero-range process",

author = "Tadahisa Funaki and Makiko Sasada and Martin Sauer and Bin Xie",

note = "Funding Information: The first author is supported in part by the JSPS Grant-in-Aid (A) 22244007 . The second author is supported in part by the JSPS Grant-in-Aid for Research Activity Start-up 23840036 . The third author is supported by the DFG and JSPS as a member of the International Research Training Group Darmstadt-Tokyo IRTG 1529. The fourth author is supported in part by the JSPS Grant-in-Aid for Young Scientist (B) 21740067 .",

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T1 - Fluctuations in an evolutional model of two-dimensional Young diagrams

AU - Funaki, Tadahisa

AU - Sasada, Makiko

AU - Sauer, Martin

AU - Xie, Bin

N1 - Funding Information: The first author is supported in part by the JSPS Grant-in-Aid (A) 22244007 . The second author is supported in part by the JSPS Grant-in-Aid for Research Activity Start-up 23840036 . The third author is supported by the DFG and JSPS as a member of the International Research Training Group Darmstadt-Tokyo IRTG 1529. The fourth author is supported in part by the JSPS Grant-in-Aid for Young Scientist (B) 21740067 .

PY - 2013

Y1 - 2013

N2 - We discuss the non-equilibrium fluctuation problem, which corresponds to the hydrodynamic limit established by Funaki and Sasada (2010) [9], for the dynamics of two-dimensional Young diagrams associated with the uniform and restricted uniform statistics, and derive linear stochastic partial differential equations in the limit. We show that their invariant measures are identical to the Gaussian measures which appear in the fluctuation limits in the static situations.

AB - We discuss the non-equilibrium fluctuation problem, which corresponds to the hydrodynamic limit established by Funaki and Sasada (2010) [9], for the dynamics of two-dimensional Young diagrams associated with the uniform and restricted uniform statistics, and derive linear stochastic partial differential equations in the limit. We show that their invariant measures are identical to the Gaussian measures which appear in the fluctuation limits in the static situations.

KW - Exclusion process

KW - Fluctuation

KW - Hydrodynamic limit

KW - Young diagram

KW - Zero-range process

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U2 - 10.1016/j.spa.2012.12.005

DO - 10.1016/j.spa.2012.12.005

M3 - Article

AN - SCOPUS:84872296932

SN - 0304-4149

VL - 123

SP - 1229

EP - 1275

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 4

ER -

Fluctuations in an evolutional model of two-dimensional Young diagrams

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