English
Phase transitions on one-dimensional symbolic systems
Multi angle
Auteurs : Kucherenko, Tamara (Auteur de la Conférence)
CIRM (Editeur )
37A35 - Entropy and other invariants, isomorphism, classification
37B10 - Symbolic dynamics
37D35 - Thermodynamic formalism, variational principles, equilibrium states
CIRM (Editeur )
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Résumé :
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
Codes MSC : 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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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 29/04/2024 Date de captation : 01/04/2024 Sous collection : Research talks arXiv category : Dynamical Systems Domaine : Dynamical Systems & ODE Format : MP4 (.mp4) - HD Durée : 00:44:43 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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Informations sur la Rencontre
Nom de la rencontre : Multidimensional symbolic dynamics and lattice models of quasicrystals / Dynamique symbolique multidimensionnelle et modèles de quasi-cristaux sur réseauOrganisateurs de la rencontre : Chazottes, Jean-René ; Shinoda, Mao Dates : 01/04/2024 - 05/04/2024 Année de la rencontre : 2024 URL Congrès : https://conferences.cirm-math.fr/3002.html
Données de citation
DOI : 10.24350/CIRM.V.20157703Citer cette vidéo: 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 |
Voir aussi
- [Multi angle] Approximating entropy/pressure for multidimensional shifts of finite type / Auteur de la Conférence Pavlov, Ronnie.
- [Multi angle] Metallic mean Wang tiles / Auteur de la Conférence Labbé, Sébastien.
- [Multi angle] Symmetries in symbolic dynamics / Auteur de la Conférence Kra, Bryna.
- [Multi angle] Topological aspects of discrete spectrum / Auteur de la Conférence García-Ramos, Felipe.
Bibliographie
- 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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