Measure-valued limits of interacting particle systems with k-nary interactions

Abstract. Results on existence, uniqueness, non-explosion and stochastic monotonicity are obtained for one-dimensional Markov processes having non-local pseudo-differential generators with symbols of polynomial growth. It is proven that the processes of this kind can be obtained as the limits of ran...
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Autor*in:	Kolokoltsov, Vassili N. [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	2003

Schlagwörter:	Markov Process Particle System Polynomial Growth Interact Particle System Random Evolution

Anmerkung:	© Springer-Verlag Berlin Heidelberg 2003

Übergeordnetes Werk:	Enthalten in: Probability theory and related fields - Springer-Verlag, 1986, 126(2003), 3 vom: Juni, Seite 364-394
Übergeordnetes Werk:	volume:126 ; year:2003 ; number:3 ; month:06 ; pages:364-394

Links:	Volltext

DOI / URN:	10.1007/s00440-003-0267-1

Katalog-ID:	OLC2054631612

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spelling	10.1007/s00440-003-0267-1 doi (DE-627)OLC2054631612 (DE-He213)s00440-003-0267-1-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Kolokoltsov, Vassili N. verfasserin aut Measure-valued limits of interacting particle systems with k-nary interactions 2003 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2003 Abstract. Results on existence, uniqueness, non-explosion and stochastic monotonicity are obtained for one-dimensional Markov processes having non-local pseudo-differential generators with symbols of polynomial growth. It is proven that the processes of this kind can be obtained as the limits of random evolutions of systems of identical indistinguishable particles with k-nary interaction. Markov Process Particle System Polynomial Growth Interact Particle System Random Evolution Enthalten in Probability theory and related fields Springer-Verlag, 1986 126(2003), 3 vom: Juni, Seite 364-394 (DE-627)129382779 (DE-600)165783-5 (DE-576)01476914X 0178-8051 nnns volume:126 year:2003 number:3 month:06 pages:364-394 https://doi.org/10.1007/s00440-003-0267-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4700 AR 126 2003 3 06 364-394
allfields_unstemmed	10.1007/s00440-003-0267-1 doi (DE-627)OLC2054631612 (DE-He213)s00440-003-0267-1-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Kolokoltsov, Vassili N. verfasserin aut Measure-valued limits of interacting particle systems with k-nary interactions 2003 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2003 Abstract. Results on existence, uniqueness, non-explosion and stochastic monotonicity are obtained for one-dimensional Markov processes having non-local pseudo-differential generators with symbols of polynomial growth. It is proven that the processes of this kind can be obtained as the limits of random evolutions of systems of identical indistinguishable particles with k-nary interaction. Markov Process Particle System Polynomial Growth Interact Particle System Random Evolution Enthalten in Probability theory and related fields Springer-Verlag, 1986 126(2003), 3 vom: Juni, Seite 364-394 (DE-627)129382779 (DE-600)165783-5 (DE-576)01476914X 0178-8051 nnns volume:126 year:2003 number:3 month:06 pages:364-394 https://doi.org/10.1007/s00440-003-0267-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4700 AR 126 2003 3 06 364-394
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allfieldsSound	10.1007/s00440-003-0267-1 doi (DE-627)OLC2054631612 (DE-He213)s00440-003-0267-1-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Kolokoltsov, Vassili N. verfasserin aut Measure-valued limits of interacting particle systems with k-nary interactions 2003 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2003 Abstract. Results on existence, uniqueness, non-explosion and stochastic monotonicity are obtained for one-dimensional Markov processes having non-local pseudo-differential generators with symbols of polynomial growth. It is proven that the processes of this kind can be obtained as the limits of random evolutions of systems of identical indistinguishable particles with k-nary interaction. Markov Process Particle System Polynomial Growth Interact Particle System Random Evolution Enthalten in Probability theory and related fields Springer-Verlag, 1986 126(2003), 3 vom: Juni, Seite 364-394 (DE-627)129382779 (DE-600)165783-5 (DE-576)01476914X 0178-8051 nnns volume:126 year:2003 number:3 month:06 pages:364-394 https://doi.org/10.1007/s00440-003-0267-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4029 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4700 AR 126 2003 3 06 364-394
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author	Kolokoltsov, Vassili N.
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topic_title	510 VZ 17,1 ssgn Measure-valued limits of interacting particle systems with k-nary interactions Markov Process Particle System Polynomial Growth Interact Particle System Random Evolution
topic	ddc 510 ssgn 17,1 misc Markov Process misc Particle System misc Polynomial Growth misc Interact Particle System misc Random Evolution
topic_unstemmed	ddc 510 ssgn 17,1 misc Markov Process misc Particle System misc Polynomial Growth misc Interact Particle System misc Random Evolution
topic_browse	ddc 510 ssgn 17,1 misc Markov Process misc Particle System misc Polynomial Growth misc Interact Particle System misc Random Evolution
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title	Measure-valued limits of interacting particle systems with k-nary interactions
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title_full	Measure-valued limits of interacting particle systems with k-nary interactions
author_sort	Kolokoltsov, Vassili N.
journal	Probability theory and related fields
journalStr	Probability theory and related fields
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author_browse	Kolokoltsov, Vassili N.
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doi_str_mv	10.1007/s00440-003-0267-1
dewey-full	510
title_sort	measure-valued limits of interacting particle systems with k-nary interactions
title_auth	Measure-valued limits of interacting particle systems with k-nary interactions
abstract	Abstract. Results on existence, uniqueness, non-explosion and stochastic monotonicity are obtained for one-dimensional Markov processes having non-local pseudo-differential generators with symbols of polynomial growth. It is proven that the processes of this kind can be obtained as the limits of random evolutions of systems of identical indistinguishable particles with k-nary interaction. © Springer-Verlag Berlin Heidelberg 2003
abstractGer	Abstract. Results on existence, uniqueness, non-explosion and stochastic monotonicity are obtained for one-dimensional Markov processes having non-local pseudo-differential generators with symbols of polynomial growth. It is proven that the processes of this kind can be obtained as the limits of random evolutions of systems of identical indistinguishable particles with k-nary interaction. © Springer-Verlag Berlin Heidelberg 2003
abstract_unstemmed	Abstract. Results on existence, uniqueness, non-explosion and stochastic monotonicity are obtained for one-dimensional Markov processes having non-local pseudo-differential generators with symbols of polynomial growth. It is proven that the processes of this kind can be obtained as the limits of random evolutions of systems of identical indistinguishable particles with k-nary interaction. © Springer-Verlag Berlin Heidelberg 2003
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title_short	Measure-valued limits of interacting particle systems with k-nary interactions
url	https://doi.org/10.1007/s00440-003-0267-1
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up_date	2024-07-03T23:45:25.243Z
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