Existence and approximation of Hunt processes associated with generalized Dirichlet forms

Peil, Vitali; Trutnau, Gerald

Existence and approximation of Hunt processes associated with generalized Dirichlet forms

Peil V, Trutnau G (2011)
Infinite Dimensional Analysis, Quantum Probability and Related Topics 14(04): 613-628.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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DOI

https://doi.org/10.1142/S0219025711004559

Autor*in

Peil, Vitali^UniBi ; Trutnau, Gerald

Einrichtung

Fakultät für Mathematik
Universitätsbibliothek

Abstract / Bemerkung

We show that any strictly quasi-regular generalized Dirichlet form thatsatisfies the mild structural condition D3 is associated to a Hunt process, andthat the associated Hunt process can be approximated by a sequence ofmultivariate Poisson processes. This also gives a new proof for the existenceof a Hunt process associated to a strictly quasi-regular generalized Dirichletform that satisfies SD3 and extends all previous results.

Stichworte

tightness; capacity; Hunt process; multivariate Poisson process; Generalized Dirichlet form

Erscheinungsjahr

2011

Zeitschriftentitel

Infinite Dimensional Analysis, Quantum Probability and Related Topics

Band

Ausgabe

Seite(n)

613-628

ISSN

0219-0257

eISSN

1793-6306

Page URI

https://pub.uni-bielefeld.de/record/2285698

Zitieren

Peil V, Trutnau G. Existence and approximation of Hunt processes associated with generalized Dirichlet forms. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 2011;14(04):613-628.

Peil, V., & Trutnau, G. (2011). Existence and approximation of Hunt processes associated with generalized Dirichlet forms. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 14(04), 613-628. https://doi.org/10.1142/S0219025711004559

Peil, Vitali, and Trutnau, Gerald. 2011. “Existence and approximation of Hunt processes associated with generalized Dirichlet forms”. Infinite Dimensional Analysis, Quantum Probability and Related Topics 14 (04): 613-628.

Peil, V., and Trutnau, G. (2011). Existence and approximation of Hunt processes associated with generalized Dirichlet forms. Infinite Dimensional Analysis, Quantum Probability and Related Topics 14, 613-628.

Peil, V., & Trutnau, G., 2011. Existence and approximation of Hunt processes associated with generalized Dirichlet forms. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 14(04), p 613-628.

V. Peil and G. Trutnau, “Existence and approximation of Hunt processes associated with generalized Dirichlet forms”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 14, 2011, pp. 613-628.

Peil, V., Trutnau, G.: Existence and approximation of Hunt processes associated with generalized Dirichlet forms. Infinite Dimensional Analysis, Quantum Probability and Related Topics. 14, 613-628 (2011).

Peil, Vitali, and Trutnau, Gerald. “Existence and approximation of Hunt processes associated with generalized Dirichlet forms”. Infinite Dimensional Analysis, Quantum Probability and Related Topics 14.04 (2011): 613-628.

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