Phase transitions on one-dimensional symbolic systems | Vidéo | Carmin.tv

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Phase transitions on one-dimensional symbolic systems

By Tamara Kucherenko

Appears in collection : Multidimensional symbolic dynamics and lattice models of quasicrystals / Dynamique symbolique multidimensionnelle et modèles de quasi-cristaux sur réseau

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.

Information about the video

Date of recording 01/04/2024
Date of publication 29/04/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20157703
Cite this video Kucherenko, Tamara (01/04/2024). Phase transitions on one-dimensional symbolic systems. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20157703
URL https://dx.doi.org/10.24350/CIRM.V.20157703

Domain(s)

Dynamical Systems

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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