A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z)

Albeverio S, Röckner M, Yoshida MW (2014)
Infinite Dimensional Analysis Quantum Probability and Related Topics 17(1): 1450002.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Autor/in
Albeverio, Sergio; Röckner, MichaelUniBi; Yoshida, Minoru W.
Abstract / Bemerkung
Through the consideration of a homeomorphism between C([0, T] -> R-Z) and C([0, T] -> (S-1)(Z)), a one-to-one correspondence between stochastic prosesses with values in R-Z resp. (S-1)(Z) is discussed. In particular, uniqueness of solutions of SDE's and contraction properties of the semigroups of the corresponding Markov processes on these spaces are studied.
Stichworte
SDE on (S-1)(Z); semigroups; contraction properties of Markovian; Hida distributions; Dirichlet forms; SDE on R-Z
Erscheinungsjahr
2014
Zeitschriftentitel
Infinite Dimensional Analysis Quantum Probability and Related Topics
Band
17
Ausgabe
1
Art.-Nr.
1450002
ISSN
0219-0257
Page URI
https://pub.uni-bielefeld.de/record/2677412

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Albeverio S, Röckner M, Yoshida MW. A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z). Infinite Dimensional Analysis Quantum Probability and Related Topics. 2014;17(1): 1450002.
Albeverio, S., Röckner, M., & Yoshida, M. W. (2014). A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z). Infinite Dimensional Analysis Quantum Probability and Related Topics, 17(1), 1450002. doi:10.1142/S0219025714500027
Albeverio, S., Röckner, M., and Yoshida, M. W. (2014). A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z). Infinite Dimensional Analysis Quantum Probability and Related Topics 17:1450002.
Albeverio, S., Röckner, M., & Yoshida, M.W., 2014. A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z). Infinite Dimensional Analysis Quantum Probability and Related Topics, 17(1): 1450002.
S. Albeverio, M. Röckner, and M.W. Yoshida, “A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z)”, Infinite Dimensional Analysis Quantum Probability and Related Topics, vol. 17, 2014, : 1450002.
Albeverio, S., Röckner, M., Yoshida, M.W.: A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z). Infinite Dimensional Analysis Quantum Probability and Related Topics. 17, : 1450002 (2014).
Albeverio, Sergio, Röckner, Michael, and Yoshida, Minoru W. “A homeomorphism relating path spaces of stochastic processes with values in R-Z respectively (S-1)(Z)”. Infinite Dimensional Analysis Quantum Probability and Related Topics 17.1 (2014): 1450002.