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Phase transitions on one-dimensional symbolic systems
Multi angle
Authors : Kucherenko, Tamara (Author of the conference)
CIRM (Publisher )
37A35 - Entropy and other invariants, isomorphism, classification
37B10 - Symbolic dynamics
37D35 - Thermodynamic formalism, variational principles, equilibrium states
CIRM (Publisher )
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Abstract :
We discuss various mechanisms for generating phase transitions on compact symbolic systems in one dimension. We present several results, classical and recent, concerning the number and frequency of phase transitions, as well as the existence of freezing phase transitions. In the latter case we focus on the type of potentials which would trigger a freezing phase transition and the support of the resulting ground state.
Keywords : Phase transitions; equilibrium states; quasi-crystals; thermodynamic formalism; topological pressure
MSC Codes : Keywords : Phase transitions; equilibrium states; quasi-crystals; thermodynamic formalism; topological pressure
37A35 - Entropy and other invariants, isomorphism, classification
37B10 - Symbolic dynamics
37D35 - Thermodynamic formalism, variational principles, equilibrium states
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 29/04/2024 Conference Date : 01/04/2024 Subseries : Research talks arXiv category : Dynamical Systems Mathematical Area(s) : Dynamical Systems & ODE Format : MP4 (.mp4) - HD Video Time : 00:44:43 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-04-01_Kucherenko_2.mp4 
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Information on the Event
Event Title : Multidimensional symbolic dynamics and lattice models of quasicrystals / Dynamique symbolique multidimensionnelle et modèles de quasi-cristaux sur réseauEvent Organizers : Chazottes, Jean-René ; Shinoda, Mao Dates : 01/04/2024 - 05/04/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/3002.html
Citation Data
DOI : 10.24350/CIRM.V.20157703Cite this video as: Kucherenko, Tamara (2024). Phase transitions on one-dimensional symbolic systems. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20157703 URI : http://dx.doi.org/10.24350/CIRM.V.20157703 |
See Also
- [Multi angle] Approximating entropy/pressure for multidimensional shifts of finite type / Author of the conference Pavlov, Ronnie.
- [Multi angle] Metallic mean Wang tiles / Author of the conference Labbé, Sébastien.
- [Multi angle] Symmetries in symbolic dynamics / Author of the conference Kra, Bryna.
- [Multi angle] Topological aspects of discrete spectrum / Author of the conference García-Ramos, Felipe.
Bibliography
- KUCHERENKO, Tamara et QUAS, Anthony. Flexibility of the pressure function. Communications in Mathematical Physics, 2022, vol. 395, no 3, p. 1431-1461. - https://doi.org/10.1007/s00220-022-04466-y
- KUCHERENKO, Tamara et THOMPSON, Daniel J. Measures of maximal entropy on subsystems of topological suspension semi-flows. Studia Mathematica, 260 (2) (2021), 229-240. - http://dx.doi.org/10.4064/sm201105-13-1
- KUCHERENKO, Tamara, QUAS, Anthony, et WOLF, Christian. Multiple phase transitions on compact symbolic systems. Advances in Mathematics, 2021, vol. 385, p. 107768. - https://doi.org/10.1016/j.aim.2021.107768
- KUCHERENKO, Tamara et THOMPSON, Daniel J. Measures of maximal entropy for suspension flows over the full shift. Mathematische Zeitschrift, 2020, vol. 294, no 1, p. 769-781. - https://doi.org/10.1007/s00209-019-02287-9
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