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Pfaffian Stochastic Dynamics of Strict Partitions

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Pfaffian Stochastic Dynamics of Strict Partitions
2.	Creator	Author's name, affiliation, country	Leonid Petrov; Institute for Information Transmission Problems of Moscow; Russian Federation
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	random strict partitions; determinantal point process; Pfaffian dynamics
3.	Subject	Subject classification	60G55; 60J75; 05E18
4.	Description	Abstract	We study a family of continuous time Markov jump processes on strict partitions (partitions with distinct parts) preserving the distributions introduced by Borodin (1997) in connection with projective representations of the infinite symmetric group. The one-dimensional distributions of the processes (i.e., the Borodin's measures) have determinantal structure. We express the dynamical correlation functions of the processes in terms of certain Pfaffians and give explicit formulas for both the static and dynamical correlation kernels using the Gauss hypergeometric function. Moreover, we are able to express our correlation kernels (both static and dynamical) through those of the z-measures on partitions obtained previously by Borodin and Olshanski in a series of papers. The results about the fixed time case were announced in the note [El. Comm. Probab., 15 (2010), 162-175]. A part of the present paper contains proofs of those results.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	RFBR; CNRS; A.Kuznetsov; Dynasty foundation fellowship for young scientists
7.	Date	(YYYY-MM-DD)	2011-11-15
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/956
10.	Identifier	Digital Object Identifier	10.1214/EJP.v16-956
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 16
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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