Symmetric Markov processes with tightness property

Masayoshi Takeda

doi:10.1007/978-3-319-74929-7_33

Symmetric Markov processes with tightness property

Masayoshi Takeda

SCI - Mathematics

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

Abstract

A symmetric Markov process X is said to be in Class (T) if it is irreducible, strong Feller and possesses a tightness property. We give some properties of X in Class (T) and of the semi-group p_t of X: the uniform large deviation principle of X, L^p -independence of growth bounds of p_t, compactness of p_t as an operator in L², and boundedness of every eigenfunction of p_t.

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	489-499
Number of pages	11
ISBN (Print)	9783319749280
DOIs	https://doi.org/10.1007/978-3-319-74929-7_33
Publication status	Published - 2018
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

Compactness of semigroup
Dirichlet form
Symmetric Markov process

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/978-3-319-74929-7_33

Cite this

Takeda, M. (2018). Symmetric Markov processes with tightness property. 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. 489-499). (Springer Proceedings in Mathematics and Statistics; Vol. 229). Springer New York LLC. https://doi.org/10.1007/978-3-319-74929-7_33

Symmetric Markov processes with tightness property. / Takeda, Masayoshi.

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. 489-499 (Springer Proceedings in Mathematics and Statistics; Vol. 229).

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

Takeda, M 2018, Symmetric Markov processes with tightness property. 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. 489-499, 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_33

Takeda M. Symmetric Markov processes with tightness property. 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. 489-499. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-3-319-74929-7_33

Takeda, Masayoshi. / Symmetric Markov processes with tightness property. 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. 489-499 (Springer Proceedings in Mathematics and Statistics).

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Symmetric Markov processes with tightness property

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