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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Autor*in
Peil, VitaliUniBi ; Trutnau, Gerald
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
14
Ausgabe
04
Seite(n)
613-628
ISSN
0219-0257
eISSN
1793-6306
Page URI
https://pub.uni-bielefeld.de/record/2285698

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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, 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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arXiv: 1103.3126

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