Replica symmetry breaking related to a general ultrametric space III: the case of general measure
arXiv:cond-mat/0603694 · doi:10.1016/j.physa.2006.12.027
Abstract
Family of replica matrices, related to general ultrametric spaces with general measures, is introduced. These matrices generalize the known Parisi matrices. Some functionals of replica approach are computed. Replica symmetry breaking solution is found.
21 pages
References in corpus (5)
- p-Adic pseudodifferential operators and p-adic wavelets
- Replica symmetry breaking related to a general ultrametric space I: replica matrices and functionals
- Replica symmetry breaking related to a general ultrametric space II: RSB solutions and the n\to0 limit
- Pseudodifferential operators on ultrametric spaces and ultrametric wavelets
- -adic discrete dynamical systems and their applications in physics and cognitive sciences
Cited by in corpus (11)
- p-Adic Mathematical Physics
- -Adic Mathematical Physics: The First 30 Years
- Replica symmetry breaking related to a general ultrametric space I: replica matrices and functionals
- On -adic Gibbs measures of countable state Potts model on the Cayley tree
- Replica symmetry breaking related to a general ultrametric space II: RSB solutions and the n\to0 limit
- Phase transitions for -adic Potts model on the Cayley tree of order three
- On -adic Ising-Vannimenus model on an arbitrary order Cayley tree
- Quantum mechanics on profinite groups and partial order
- Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift
- Non-Archimedean Reaction-Ultradiffusion Equations and Complex Hierarchic Systems
- On phase transition for one dimensional countable state -adic Potts model