Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume

Hiroshi Kawabi

doi:10.1007/978-3-319-74929-7_31

Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this survey paper, we discuss strong uniqueness of Dirichlet operators related to stochastic quantization under exponential (and polynomial) interactions in one-dimensional infinite volume based on joint works with Sergio Albeverio and Michael Röckner (Albeverio et al., J Funct Anal 262:602–638, 2012, [4], Kawabi and Röckner, J Funct Anal 242:486–518, 2007, [11]). We also raise an open problem.

Original language	English
Title of host publication	Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016
Editors	Gerald Trutnau, Andreas Eberle, Walter Hoh, Moritz Kassmann, Martin Grothaus, Wilhelm Stannat
Publisher	Springer New York LLC
Pages	461-471
Number of pages	11
ISBN (Print)	9783319749280
DOIs	https://doi.org/10.1007/978-3-319-74929-7_31
Publication status	Published - 2018
Externally published	Yes
Event	International conference on Stochastic Partial Differential Equations and Related Fields, SPDERF 2016 - Bielefeld, Germany Duration: 2016 Oct 10 → 2016 Oct 14

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	229
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Other

Other	International conference on Stochastic Partial Differential Equations and Related Fields, SPDERF 2016
Country/Territory	Germany
City	Bielefeld
Period	16/10/10 → 16/10/14

Keywords

Dirichlet operator
Essential self-adjointness
Gibbs measure
L -uniqueness
Path space
SPDE
Stochastic quantization
Strong uniqueness

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/978-3-319-74929-7_31

Cite this

Kawabi, H. (2018). Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume. In G. Trutnau, A. Eberle, W. Hoh, M. Kassmann, M. Grothaus, & W. Stannat (Eds.), Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016 (pp. 461-471). (Springer Proceedings in Mathematics and Statistics; Vol. 229). Springer New York LLC. https://doi.org/10.1007/978-3-319-74929-7_31

Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume. / Kawabi, Hiroshi.
Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016. ed. / Gerald Trutnau; Andreas Eberle; Walter Hoh; Moritz Kassmann; Martin Grothaus; Wilhelm Stannat. Springer New York LLC, 2018. p. 461-471 (Springer Proceedings in Mathematics and Statistics; Vol. 229).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kawabi, H 2018, Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume. in G Trutnau, A Eberle, W Hoh, M Kassmann, M Grothaus & W Stannat (eds), Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016. Springer Proceedings in Mathematics and Statistics, vol. 229, Springer New York LLC, pp. 461-471, International conference on Stochastic Partial Differential Equations and Related Fields, SPDERF 2016, Bielefeld, Germany, 16/10/10. https://doi.org/10.1007/978-3-319-74929-7_31

Kawabi H. Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume. In Trutnau G, Eberle A, Hoh W, Kassmann M, Grothaus M, Stannat W, editors, Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016. Springer New York LLC. 2018. p. 461-471. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-319-74929-7_31

Kawabi, Hiroshi. / Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume. Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016. editor / Gerald Trutnau ; Andreas Eberle ; Walter Hoh ; Moritz Kassmann ; Martin Grothaus ; Wilhelm Stannat. Springer New York LLC, 2018. pp. 461-471 (Springer Proceedings in Mathematics and Statistics).

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Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume

Abstract

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Keywords

ASJC Scopus subject areas

Access to Document

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