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Measure-valued limits of interacting particle systems with k-nary interactions - I. One-dimensional limits. / Kolokoltsov, VN.

In: Probability Theory and Related Fields, Vol. 126, No. 3, 06.2003, p. 364-394.

Research output: Contribution to journal › Article › peer-review

Harvard

Kolokoltsov, VN 2003, 'Measure-valued limits of interacting particle systems with k-nary interactions - I. One-dimensional limits', Probability Theory and Related Fields, vol. 126, no. 3, pp. 364-394. https://doi.org/10.1007/s00440-003-0267-1

APA

Kolokoltsov, VN. (2003). Measure-valued limits of interacting particle systems with k-nary interactions - I. One-dimensional limits. Probability Theory and Related Fields, 126(3), 364-394. https://doi.org/10.1007/s00440-003-0267-1

Vancouver

Kolokoltsov VN. Measure-valued limits of interacting particle systems with k-nary interactions - I. One-dimensional limits. Probability Theory and Related Fields. 2003 Jun;126(3):364-394. https://doi.org/10.1007/s00440-003-0267-1

Author

Kolokoltsov, VN. / Measure-valued limits of interacting particle systems with k-nary interactions - I. One-dimensional limits. In: Probability Theory and Related Fields. 2003 ; Vol. 126, No. 3. pp. 364-394.

BibTeX

@article{abbdd75a767542d38c73542b04110eb7,
title = "Measure-valued limits of interacting particle systems with k-nary interactions - I. One-dimensional limits",
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.",
keywords = "interacting particles, k-nary interaction, measure-valued processes, one-dimensional Feller processes with, polynomially growing symbols, duality, stochastic monotonicity, heat kernel, COAGULATION",
author = "VN Kolokoltsov",
year = "2003",
month = jun,
doi = "10.1007/s00440-003-0267-1",
language = "Английский",
volume = "126",
pages = "364--394",
journal = "Probability Theory and Related Fields",
issn = "0178-8051",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Measure-valued limits of interacting particle systems with k-nary interactions - I. One-dimensional limits

AU - Kolokoltsov, VN

PY - 2003/6

Y1 - 2003/6

N2 - 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.

AB - 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.

KW - interacting particles

KW - k-nary interaction

KW - measure-valued processes

KW - one-dimensional Feller processes with

KW - polynomially growing symbols

KW - duality

KW - stochastic monotonicity

KW - heat kernel

KW - COAGULATION

U2 - 10.1007/s00440-003-0267-1

DO - 10.1007/s00440-003-0267-1

M3 - статья

VL - 126

SP - 364

EP - 394

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

SN - 0178-8051

IS - 3

ER -

ID: 86492745