Spectral Gap for Multi-species Exclusion Processes |
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Authors: | Yukio Nagahata Makiko Sasada |
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Institution: | 1.Department of Mathematical Science, Graduate School of Engineering Science,Osaka University,Toyonaka,Japan;2.Graduate School of Mathematical Sciences,The University of Tokyo,Komaba,Japan |
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Abstract: | We consider a multi-species generalization of the symmetric simple exclusion process in homogeneous and non-homogeneous hypercubes
of Z
d
. In this model, the hyperplanes of configurations with given numbers of particles of each species are not necessarily irreducible.
We give a sufficient condition of the dynamics to make them irreducible. In addition, assuming the irreducibility of them,
we show some estimates of the spectral gap (the absolute value of the second largest eigenvalue of the generator), which plays
an important role in the study of hydrodynamic limit. |
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Keywords: | |
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