Genericity of interactions with potentials being Morse functions

DOI10.1016/J.GEOMPHYS.2018.03.013zbMath1391.82014OpenAlexW2794140273WikidataQ130114618 ScholiaQ130114618MaRDI QIDQ1748229

Shunsaku Nii

Publication date: 9 May 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.03.013

zbMATH Keywords

phase transitiongenericityMorse functionlattice systemnearest neighbour interaction

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Quantum field theory on lattices (81T25) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Remark on dynamical Morse inequality
• Geometry and topology in Hamiltonian dynamics and statistical mechanics
• Unnamed Item

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