Variational principle for diffusions on the diffeomorhism group with the H2 metric

Maria Fernanda de Almeida Cipriano Salvador Marques; Ana Bela Cruzeiro

doi:10.1142/9789812770547_0007

Variational principle for diffusions on the diffeomorhism group with the H² metric

Maria Fernanda de Almeida Cipriano Salvador Marques, Ana Bela Cruzeiro

DM - Departamento de Matemática

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

Abstract

We describe a stochastic variational principle associated to the on the group of diffeomorphisms of the torus as well as the corresponding dynamics. This variational principle corresponds to a minimal entropy principle.H² metric

Original language	English
Title of host publication	Mathematical analisys of random phenomena
Subtitle of host publication	Proceedings of the International Conference, Hammamet, Tunisia, 12 – 17 September 2005
Editors	Ana Bela Cruzeiro, Habib Ouerdiane, Nobuaki Obata
Place of Publication	Singapore
Publisher	World Scientific
Pages	85-92
Number of pages	8
ISBN (Electronic)	978-981-4475-69-3
ISBN (Print)	978-981-270-603-4, 981-270-603-8
DOIs	https://doi.org/10.1142/9789812770547_0007
Publication status	Published - 2007
Event	International Conference Mathematical analisys of random phenomena. - Hammamet, Tunisia Duration: 12 Sept 2005 → 17 Sept 2005

Conference

Conference	International Conference Mathematical analisys of random phenomena.
Country/Territory	Tunisia
City	Hammamet
Period	12/09/05 → 17/09/05

Access to Document

10.1142/9789812770547_0007Licence: Unspecified

Cite this

Marques, M. F. D. A. C. S., & Cruzeiro, A. B. (2007). Variational principle for diffusions on the diffeomorhism group with the H² metric. In A. B. Cruzeiro, H. Ouerdiane, & N. Obata (Eds.), Mathematical analisys of random phenomena: Proceedings of the International Conference, Hammamet, Tunisia, 12 – 17 September 2005 (pp. 85-92). World Scientific. https://doi.org/10.1142/9789812770547_0007

Marques, Maria Fernanda de Almeida Cipriano Salvador ; Cruzeiro, Ana Bela. / Variational principle for diffusions on the diffeomorhism group with the H² metric. Mathematical analisys of random phenomena: Proceedings of the International Conference, Hammamet, Tunisia, 12 – 17 September 2005. editor / Ana Bela Cruzeiro ; Habib Ouerdiane ; Nobuaki Obata. Singapore : World Scientific, 2007. pp. 85-92

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title = "Variational principle for diffusions on the diffeomorhism group with the H2 metric",

abstract = "We describe a stochastic variational principle associated to the on the group of diffeomorphisms of the torus as well as the corresponding dynamics. This variational principle corresponds to a minimal entropy principle.H2 metric",

author = "Marques, {Maria Fernanda de Almeida Cipriano Salvador} and Cruzeiro, {Ana Bela}",

year = "2007",

doi = "10.1142/9789812770547_0007",

language = "English",

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booktitle = "Mathematical analisys of random phenomena",

publisher = "World Scientific",

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note = "International Conference Mathematical analisys of random phenomena. ; Conference date: 12-09-2005 Through 17-09-2005",

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Marques, MFDACS & Cruzeiro, AB 2007, Variational principle for diffusions on the diffeomorhism group with the H² metric. in AB Cruzeiro, H Ouerdiane & N Obata (eds), Mathematical analisys of random phenomena: Proceedings of the International Conference, Hammamet, Tunisia, 12 – 17 September 2005. World Scientific, Singapore, pp. 85-92, International Conference Mathematical analisys of random phenomena., Hammamet, Tunisia, 12/09/05. https://doi.org/10.1142/9789812770547_0007

Variational principle for diffusions on the diffeomorhism group with the H² metric. / Marques, Maria Fernanda de Almeida Cipriano Salvador; Cruzeiro, Ana Bela.
Mathematical analisys of random phenomena: Proceedings of the International Conference, Hammamet, Tunisia, 12 – 17 September 2005. ed. / Ana Bela Cruzeiro; Habib Ouerdiane; Nobuaki Obata. Singapore: World Scientific, 2007. p. 85-92.

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

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N2 - We describe a stochastic variational principle associated to the on the group of diffeomorphisms of the torus as well as the corresponding dynamics. This variational principle corresponds to a minimal entropy principle.H2 metric

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BT - Mathematical analisys of random phenomena

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