No Cover Image

Journal article 826 views

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

Full text not available from this repository: check for access using links below.

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...

Full description

Published in: Potential Analysis
Published: 2016
URI: https://cronfa.swan.ac.uk/Record/cronfa28391
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2016-05-30T12:15:48Z
last_indexed 2018-02-09T05:12:27Z
id cronfa28391
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2016-12-23T12:53:44.3232077</datestamp><bib-version>v2</bib-version><id>28391</id><entry>2016-05-30</entry><title>Harnack Inequality and Applications for Infinite-Dimensional GEM Processes</title><swanseaauthors><author><sid>6734caa6d9a388bd3bd8eb0a1131d0de</sid><ORCID>0000-0003-0950-1672</ORCID><firstname>Feng-yu</firstname><surname>Wang</surname><name>Feng-yu Wang</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2016-05-30</date><deptcode>SMA</deptcode><abstract>derived for a class of infinite-dimensional GEM processes, which was introducedin Feng andWang (J. Appl. Probab. 44 938&#x2013;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&#x2013;949 2007). To prove the main results, explicit Harnack inequalityand super Poincar&#xB4;e inequality are established for the one-dimensional Wright-Fisherdiffusion processes. The main tool of the study is the coupling by change of measures.</abstract><type>Journal Article</type><journal>Potential Analysis</journal><volume>44</volume><journalNumber>1</journalNumber><paginationStart>137</paginationStart><paginationEnd>153</paginationEnd><publisher/><keywords/><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2016</publishedYear><publishedDate>2016-12-31</publishedDate><doi>10.1007/s11118-015-9502-5</doi><url/><notes/><college>COLLEGE NANME</college><department>Mathematics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SMA</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2016-12-23T12:53:44.3232077</lastEdited><Created>2016-05-30T04:41:58.7990640</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Mathematics and Computer Science - Mathematics</level></path><authors><author><firstname>Shui</firstname><surname>Feng</surname><order>1</order></author><author><firstname>Feng-yu</firstname><surname>Wang</surname><orcid>0000-0003-0950-1672</orcid><order>2</order></author></authors><documents/><OutputDurs/></rfc1807>
spelling 2016-12-23T12:53:44.3232077 v2 28391 2016-05-30 Harnack Inequality and Applications for Infinite-Dimensional GEM Processes 6734caa6d9a388bd3bd8eb0a1131d0de 0000-0003-0950-1672 Feng-yu Wang Feng-yu Wang true false 2016-05-30 SMA 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. Journal Article Potential Analysis 44 1 137 153 31 12 2016 2016-12-31 10.1007/s11118-015-9502-5 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-12-23T12:53:44.3232077 2016-05-30T04:41:58.7990640 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Shui Feng 1 Feng-yu Wang 0000-0003-0950-1672 2
title Harnack Inequality and Applications for Infinite-Dimensional GEM Processes
spellingShingle Harnack Inequality and Applications for Infinite-Dimensional GEM Processes
Feng-yu Wang
title_short Harnack Inequality and Applications for Infinite-Dimensional GEM Processes
title_full Harnack Inequality and Applications for Infinite-Dimensional GEM Processes
title_fullStr Harnack Inequality and Applications for Infinite-Dimensional GEM Processes
title_full_unstemmed Harnack Inequality and Applications for Infinite-Dimensional GEM Processes
title_sort Harnack Inequality and Applications for Infinite-Dimensional GEM Processes
author_id_str_mv 6734caa6d9a388bd3bd8eb0a1131d0de
author_id_fullname_str_mv 6734caa6d9a388bd3bd8eb0a1131d0de_***_Feng-yu Wang
author Feng-yu Wang
author2 Shui Feng
Feng-yu Wang
format Journal article
container_title Potential Analysis
container_volume 44
container_issue 1
container_start_page 137
publishDate 2016
institution Swansea University
doi_str_mv 10.1007/s11118-015-9502-5
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 0
active_str 0
description 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.
published_date 2016-12-31T03:34:31Z
_version_ 1763751463608123392
score 11.013148

Similar Items