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Contact topology and thermodynamics
Multi angle
Authors : Polterovich, Leonid (Author of the conference)
CIRM (Publisher )
37Jxx - Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [See also 53Dxx, 70Fxx, 70Hxx]
53DXX - Symplectic geometry, contact geometry
82Cxx - Time-dependent statistical mechanics (dynamic and nonequilibrium)
CIRM (Publisher )
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Abstract :
I discuss some results and conjectures on contact aspects of non-equilibrium thermodynamics. Joint with Michael Entov, Shin-itiro Goto, Shai Lerer, and Lenya Ryzhik.
Keywords : contact manifold; Legendrian submanifold; non-equilibrium thermodynamics; mean field Ising model; Fokker-Planck equation
MSC Codes : Keywords : contact manifold; Legendrian submanifold; non-equilibrium thermodynamics; mean field Ising model; Fokker-Planck equation
37Jxx - Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [See also 53Dxx, 70Fxx, 70Hxx]
53DXX - Symplectic geometry, contact geometry
82Cxx - Time-dependent statistical mechanics (dynamic and nonequilibrium)
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Information on the Video
Film maker : Petit, JeanLanguage : English Available date : 21/07/2023 Conference Date : 03/07/2023 Subseries : Research talks arXiv category : Symplectic Geometry ; Mathematical Physics Mathematical Area(s) : Dynamical Systems & ODE ; PDE ; Geometry ; Mathematical Physics ; Topology Format : MP4 (.mp4) - HD Video Time : 00:58:47 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-07-03_Polterovich_1.mp4 
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Information on the Event
Event Title : From smooth to $C^{0}$ symplectic geometry: topological aspects and dynamical implications / Géométrie symplectique de lisse à $C^{0}$: aspects topologiques et implications dynamiquesEvent Organizers : Benedetti, Gabriele ; Humilière, Vincent ; Leclercq, Rémi ; Sandon, Sheila ; Seyfaddini, Sobhan Dates : 03/07/2023 - 07/07/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2759.html
Citation Data
DOI : 10.24350/CIRM.V.20068703Cite this video as: Polterovich, Leonid (2023). Contact topology and thermodynamics. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20068703 URI : http://dx.doi.org/10.24350/CIRM.V.20068703 |
See Also
- [Multi angle] The Humilière completion and some applications / Author of the conference Viterbo, Claude.
- [Multi angle] Symplectic mapping class groups: structural properties from smooth to $C^{0}$ / Author of the conference Keating, Ailsa.
- [Multi angle] The spectral norm, rigidity and all that / Author of the conference Gurel, Basak.
- [Multi angle] Symplectic capacities of domains close to the ball and quasi-invariant contact forms / Author of the conference Abbondandolo, Alberto.
Bibliography
- ENTOV, Michael et POLTEROVICH, Leonid. Contact topology and non-equilibrium thermodynamics. Nonlinearity, 2023, vol. 36, no 6, p. 3349. - http://dx.doi.org/10.1088/1361-6544/acd1ce
- GOTO, Shin-itiro, LERER, Shai, et POLTEROVICH, Leonid. Contact geometric approach to Glauber dynamics near a cusp and its limitation. Journal of Physics A: Mathematical and Theoretical, 2023, vol. 56, no 12, p. 125001. - http://dx.doi.org/10.1088/1751-8121/acbe81
Imagette Video
