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Equilibrium Kawasaki dynamics and determinantal point process

E. Lytvynov, G. Olshanski, Eugene Lytvynov Orcid Logo

Journal of Mathematical Sciences, Volume: 190, Issue: 3, Pages: 451 - 458

Swansea University Author: Eugene Lytvynov Orcid Logo

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DOI (Published version): 10.1007/s10958-013-1260-6

Abstract

Let $\mu$ be a point process on a countable discrete space$\mathfrak X$. Under assumption that $\mu$ is quasi-invariant with respect toany finitary permutation of $\mathfrak X$, we describe a general scheme forconstructing an equilibrium Kawasaki dynamics for which $\mu$ is asymmetrizing (and hence...

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Published in: Journal of Mathematical Sciences
Published: 2013
Online Access: http://link.springer.com/article/10.1007/s10958-013-1260-6
URI: https://cronfa.swan.ac.uk/Record/cronfa19098
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first_indexed 2014-11-13T02:55:51Z
last_indexed 2018-02-09T04:54:18Z
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spelling 2014-11-12T14:38:18.8384864 v2 19098 2014-11-06 Equilibrium Kawasaki dynamics and determinantal point process e5b4fef159d90a480b1961cef89a17b7 0000-0001-9685-7727 Eugene Lytvynov Eugene Lytvynov true false 2014-11-06 SMA Let $\mu$ be a point process on a countable discrete space$\mathfrak X$. Under assumption that $\mu$ is quasi-invariant with respect toany finitary permutation of $\mathfrak X$, we describe a general scheme forconstructing an equilibrium Kawasaki dynamics for which $\mu$ is asymmetrizing (and hence invariant) measure. We also exhibit a two-parameterfamily of point processes $\mu$ possessing the needed quasi-invarianceproperty. Each process of this family is determinantal, and its correlationkernel is the kernel of a projection operator in $\ell^2(\mathfrak X)$. Journal Article Journal of Mathematical Sciences 190 3 451 458 31 12 2013 2013-12-31 10.1007/s10958-013-1260-6 http://link.springer.com/article/10.1007/s10958-013-1260-6 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2014-11-12T14:38:18.8384864 2014-11-06T12:08:28.8498061 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics E. Lytvynov 1 G. Olshanski 2 Eugene Lytvynov 0000-0001-9685-7727 3
title Equilibrium Kawasaki dynamics and determinantal point process
spellingShingle Equilibrium Kawasaki dynamics and determinantal point process
Eugene Lytvynov
title_short Equilibrium Kawasaki dynamics and determinantal point process
title_full Equilibrium Kawasaki dynamics and determinantal point process
title_fullStr Equilibrium Kawasaki dynamics and determinantal point process
title_full_unstemmed Equilibrium Kawasaki dynamics and determinantal point process
title_sort Equilibrium Kawasaki dynamics and determinantal point process
author_id_str_mv e5b4fef159d90a480b1961cef89a17b7
author_id_fullname_str_mv e5b4fef159d90a480b1961cef89a17b7_***_Eugene Lytvynov
author Eugene Lytvynov
author2 E. Lytvynov
G. Olshanski
Eugene Lytvynov
format Journal article
container_title Journal of Mathematical Sciences
container_volume 190
container_issue 3
container_start_page 451
publishDate 2013
institution Swansea University
doi_str_mv 10.1007/s10958-013-1260-6
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://link.springer.com/article/10.1007/s10958-013-1260-6
document_store_str 0
active_str 0
description Let $\mu$ be a point process on a countable discrete space$\mathfrak X$. Under assumption that $\mu$ is quasi-invariant with respect toany finitary permutation of $\mathfrak X$, we describe a general scheme forconstructing an equilibrium Kawasaki dynamics for which $\mu$ is asymmetrizing (and hence invariant) measure. We also exhibit a two-parameterfamily of point processes $\mu$ possessing the needed quasi-invarianceproperty. Each process of this family is determinantal, and its correlationkernel is the kernel of a projection operator in $\ell^2(\mathfrak X)$.
published_date 2013-12-31T03:22:24Z
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score 11.013148

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