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Poincare Inequality for Dirichlet Distributions and Infinite-Dimensional Generalizations

Feng-yu Wang Orcid Logo

Latin American Journal of Probability and Mathematical Statistics, Volume: XIV, Pages: 361 - 380

Swansea University Author: Feng-yu Wang Orcid Logo

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Abstract

We prove the sharp Poincare inequality for the Dirichlet distribution on simplexes, and calculate the whole spectrum of the corresponding symmetric diffusion operator. The sharp Poincar´e inequality is extended to the infinite-dimensional setting, and the spectral gap of the corresponding discrete mo...

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Published in: Latin American Journal of Probability and Mathematical Statistics
ISSN: 1980-0436
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa33010
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first_indexed 2017-04-21T04:03:19Z
last_indexed 2018-07-10T13:15:36Z
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spelling 2018-07-09T13:06:56.8123369 v2 33010 2017-04-21 Poincare Inequality for Dirichlet Distributions and Infinite-Dimensional Generalizations 6734caa6d9a388bd3bd8eb0a1131d0de 0000-0003-0950-1672 Feng-yu Wang Feng-yu Wang true false 2017-04-21 SMA We prove the sharp Poincare inequality for the Dirichlet distribution on simplexes, and calculate the whole spectrum of the corresponding symmetric diffusion operator. The sharp Poincar´e inequality is extended to the infinite-dimensional setting, and the spectral gap of the corresponding discrete model is derived. Journal Article Latin American Journal of Probability and Mathematical Statistics XIV 361 380 1980-0436 Dirichlet distribution, Poincar´e inequality, diffusion process, spectral gap. 31 12 2017 2017-12-31 http://alea.impa.br/english/index_v14.htm COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2018-07-09T13:06:56.8123369 2017-04-21T01:17:26.8510072 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Feng-yu Wang 0000-0003-0950-1672 1 0033010-21042017011818.pdf 2017_21_Wang.pdf 2017-04-21T01:18:18.3000000 Output 287006 application/pdf Proof true 2017-04-21T00:00:00.0000000 true eng
title Poincare Inequality for Dirichlet Distributions and Infinite-Dimensional Generalizations
spellingShingle Poincare Inequality for Dirichlet Distributions and Infinite-Dimensional Generalizations
Feng-yu Wang
title_short Poincare Inequality for Dirichlet Distributions and Infinite-Dimensional Generalizations
title_full Poincare Inequality for Dirichlet Distributions and Infinite-Dimensional Generalizations
title_fullStr Poincare Inequality for Dirichlet Distributions and Infinite-Dimensional Generalizations
title_full_unstemmed Poincare Inequality for Dirichlet Distributions and Infinite-Dimensional Generalizations
title_sort Poincare Inequality for Dirichlet Distributions and Infinite-Dimensional Generalizations
author_id_str_mv 6734caa6d9a388bd3bd8eb0a1131d0de
author_id_fullname_str_mv 6734caa6d9a388bd3bd8eb0a1131d0de_***_Feng-yu Wang
author Feng-yu Wang
author2 Feng-yu Wang
format Journal article
container_title Latin American Journal of Probability and Mathematical Statistics
container_volume XIV
container_start_page 361
publishDate 2017
institution Swansea University
issn 1980-0436
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
url http://alea.impa.br/english/index_v14.htm
document_store_str 1
active_str 0
description We prove the sharp Poincare inequality for the Dirichlet distribution on simplexes, and calculate the whole spectrum of the corresponding symmetric diffusion operator. The sharp Poincar´e inequality is extended to the infinite-dimensional setting, and the spectral gap of the corresponding discrete model is derived.
published_date 2017-12-31T03:40:37Z
_version_ 1763751847835729920
score 11.013148

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