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

^*Corresponding author for this work

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

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1229-1275
Number of pages	47
Journal	Stochastic Processes and their Applications
Volume	123
Issue number	4
DOIs	https://doi.org/10.1016/j.spa.2012.12.005
Publication status	Published - 2013
Externally published	Yes

Keywords

Exclusion process
Fluctuation
Hydrodynamic limit
Young diagram
Zero-range process

ASJC Scopus subject areas

Statistics and Probability
Modelling and Simulation
Applied Mathematics

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10.1016/j.spa.2012.12.005

Cite this

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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 .",

year = "2013",

doi = "10.1016/j.spa.2012.12.005",

language = "English",

volume = "123",

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journal = "Stochastic Processes and their Applications",

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TY - JOUR

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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DO - 10.1016/j.spa.2012.12.005

M3 - Article

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EP - 1275

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

SN - 0304-4149

IS - 4

ER -

Fluctuations in an evolutional model of two-dimensional Young diagrams

Abstract

Keywords

ASJC Scopus subject areas

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