Graphs, local zeta functions, log-Coulomb gases, and phase transitions at finite temperature
DOI10.1063/5.0070683OpenAlexW3012027197MaRDI QIDQ5056507
B. A. Zambrano-Luna, Edwin León-Cardenal, Wilson A. Zuniga-Galindo
Publication date: 8 December 2022
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.08532
Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Exactly solvable models; Bethe ansatz (82B23) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Miscellaneous applications of number theory (11Z05)
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- Pseudodifferential equations over non-Archimedean spaces
- The zeta functions of complexes from \(\mathrm{PGL}(3)\): a representation-theoretic approach
- Lectures on forms of higher degree. Notes by S. Raghavan
- On \(p\)-adic mathematical physics
- Elliptic pseudodifferential equations and Sobolev spaces over \(p\)-adic fields
- Noncommutative geometry, quantum fields and motives
- p-adic Feynman and string amplitudes
- Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
- Continuum limit in the fermionic hierarchical model
- Information dynamics in cognitive, psychological, social and anomalous phenomena.
- Feynman integrals of \(p\)-adic argument in the momentum space. I: Convergence
- Applied algebraic dynamics
- Zeta functions and oscillatory integrals for meromorphic functions
- Adelic Path Integrals for Quadratic Lagrangians
- The Ihara zeta function of infinite graphs, the KNS spectral measure and integrable maps
- Phase transitions forp-adic Potts model on the Cayley tree of order three
- On the strong phase transition for the one-dimensional countable statep-adic Potts model
- Onp-adic Ising–Vannimenus model on an arbitrary order Cayley tree
- NUMBER THEORY, DYNAMICAL SYSTEMS AND STATISTICAL MECHANICS
- The importance of the Selberg integral
- Fourier Analysis on Local Fields. (MN-15)
- p-adic models of ultrametric diffusion constrained by hierarchical energy landscapes
- p-adic description of characteristic relaxation in complex systems
- Non-Archimedean reaction-ultradiffusion equations and complex hierarchic systems
- Ultrametric Pseudodifferential Equations and Applications
- Non-Archimedean replicator dynamics and Eigen’s paradox
- Non-Archimedean Coulomb gases
- Onp-adic Gibbs measures of the countable state Potts model on the Cayley tree
- Fonctions zêta locales d'Igusa à plusieurs variables, intégration dans les fibres, et discriminants
- A textbook of graph theory
- Zeta functions of discrete groups acting on trees
