P(φ)1-process for the spin-boson model and a functional central limit theorem for associated additive functionals

Soumaya Gheryani, Fumio Hiroshima, József Lőrinczi, Achref Majid, Habib Ouerdiane

研究成果: ジャーナルへの寄稿記事

1 引用 (Scopus)

抄録

We construct a random process with stationary increments associated to the Hamiltonian of the spin-boson model consisting of a component describing the spin and a component given by a Schwartz distribution-valued Ornstein-Uhlenbeck process describing the boson field. We use a path integral representation of the Hamiltonian to prove a functional central limit theorem for additive functionals, and derive explicit expressions of the diffusion constant for specific functionals.

元の言語英語
ページ(範囲)1104-1115
ページ数12
ジャーナルStochastics
89
発行部数6-7
DOI
出版物ステータス出版済み - 10 3 2017

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Additive Functionals
Functional Central Limit Theorem
Hamiltonians
Bosons
Schwartz Distributions
Ornstein-Uhlenbeck Process
Random process
Curvilinear integral
Random processes
Integral Representation
Increment
Model

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Modelling and Simulation

これを引用

P(φ)1-process for the spin-boson model and a functional central limit theorem for associated additive functionals. / Gheryani, Soumaya; Hiroshima, Fumio; Lőrinczi, József; Majid, Achref; Ouerdiane, Habib.

:: Stochastics, 巻 89, 番号 6-7, 03.10.2017, p. 1104-1115.

研究成果: ジャーナルへの寄稿記事

Gheryani, Soumaya ; Hiroshima, Fumio ; Lőrinczi, József ; Majid, Achref ; Ouerdiane, Habib. / P(φ)1-process for the spin-boson model and a functional central limit theorem for associated additive functionals. :: Stochastics. 2017 ; 巻 89, 番号 6-7. pp. 1104-1115.
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