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

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publicationStochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016
PublisherSpringer New York LLC
Pages461-471
Number of pages11
Volume229
ISBN (Print)9783319749280
DOIs
Publication statusPublished - 2018 Jan 1
Externally publishedYes
EventInternational conference on Stochastic Partial Differential Equations and Related Fields, SPDERF 2016 - Bielefeld, Germany
Duration: 2016 Oct 102016 Oct 14

Other

OtherInternational conference on Stochastic Partial Differential Equations and Related Fields, SPDERF 2016
CountryGermany
CityBielefeld
Period16/10/1016/10/14

Fingerprint

Dirichlet
Quantization
Open Problems
Uniqueness
Polynomial
Operator
Interaction

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Kawabi, H. (2018). Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume. In Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016 (Vol. 229, pp. 461-471). 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. Vol. 229 Springer New York LLC, 2018. p. 461-471.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kawabi, H 2018, Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume. in Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016. 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 Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016. Vol. 229. Springer New York LLC. 2018. p. 461-471 https://doi.org/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. Vol. 229 Springer New York LLC, 2018. pp. 461-471
@inproceedings{0b00496b73e84a7890b864786a953c30,
title = "Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume",
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 R{\"o}ckner (Albeverio et al., J Funct Anal 262:602–638, 2012, [4], Kawabi and R{\"o}ckner, J Funct Anal 242:486–518, 2007, [11]). We also raise an open problem.",
keywords = "Dirichlet operator, Essential self-adjointness, Gibbs measure, L -uniqueness, Path space, SPDE, Stochastic quantization, Strong uniqueness",
author = "Hiroshi Kawabi",
year = "2018",
month = "1",
day = "1",
doi = "10.1007/978-3-319-74929-7_31",
language = "English",
isbn = "9783319749280",
volume = "229",
pages = "461--471",
booktitle = "Stochastic Partial Differential Equations and Related Fields - In Honor of Michael R{\"o}ckner SPDERF, 2016",
publisher = "Springer New York LLC",

}

TY - GEN

T1 - Strong uniqueness of dirichlet operators related to stochastic quantization under exponential interactions in one-dimensional infinite volume

AU - Kawabi, Hiroshi

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - Dirichlet operator

KW - Essential self-adjointness

KW - Gibbs measure

KW - L -uniqueness

KW - Path space

KW - SPDE

KW - Stochastic quantization

KW - Strong uniqueness

UR - http://www.scopus.com/inward/record.url?scp=85049952713&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85049952713&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-74929-7_31

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

M3 - Conference contribution

AN - SCOPUS:85049952713

SN - 9783319749280

VL - 229

SP - 461

EP - 471

BT - Stochastic Partial Differential Equations and Related Fields - In Honor of Michael Röckner SPDERF, 2016

PB - Springer New York LLC

ER -