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Harnack Inequality and Applications for Infinite-Dimensional GEM Processes

Shui Feng, Feng-yu Wang Orcid Logo

Potential Analysis, Volume: 44, Issue: 1, Pages: 137 - 153

Swansea University Author: Feng-yu Wang Orcid Logo

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DOI (Published version): 10.1007/s11118-015-9502-5

Abstract

derived for a class of infinite-dimensional GEM processes, which was introducedin Feng andWang (J. Appl. Probab. 44 938–949 2007) to simulate the two-parameterGEM distributions. In particular, the associated Dirichlet form satisfies the super log-Sobolev inequality which strengthens the log-Sobolev...

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Published in: Potential Analysis
Published: 2016
URI: https://cronfa.swan.ac.uk/Record/cronfa28391
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Abstract: derived for a class of infinite-dimensional GEM processes, which was introducedin Feng andWang (J. Appl. Probab. 44 938–949 2007) to simulate the two-parameterGEM distributions. In particular, the associated Dirichlet form satisfies the super log-Sobolev inequality which strengthens the log-Sobolev inequality derived in Feng andWang(J. Appl. Probab. 44 938–949 2007). To prove the main results, explicit Harnack inequalityand super Poincar´e inequality are established for the one-dimensional Wright-Fisherdiffusion processes. The main tool of the study is the coupling by change of measures.
College: Faculty of Science and Engineering
Issue: 1
Start Page: 137
End Page: 153