ULTRAMETRIC RANDOM FIELD
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Publication:5483408
DOI10.1142/S0219025706002317zbMath1154.60323arXivmath/0603584MaRDI QIDQ5483408
Andrei Yu. Khrennikov, Sergei V. Kozyrev
Publication date: 14 August 2006
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0603584
Random fields (60G60) Gaussian processes (60G15) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Markov processes (60J99)
Related Items (23)
Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ On periodic Gibbs measures of \(p\)-adic Potts model on a Cayley tree ⋮ Non-Archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields ⋮ On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the Cayley tree ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ Existence of \(p\)-adic quasi Gibbs measure for countable state Potts model on the Cayley tree ⋮ Infinitely divisible distributions over locally compact non-Archimedean fields ⋮ Stochastic processes and their spectral representations over non-Archimedean fields ⋮ A dynamical system approach to phase transitions for \(p\)-adic Potts model on the Cayley tree of order two ⋮ The \(p\)-adic Potts model on the Cayley tree of order three ⋮ \(p\)-adic wavelets and their applications ⋮ 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 ⋮ The non-Archimedean stochastic heat equation driven by Gaussian noise ⋮ APPLICATION OF p-ADIC ANALYSIS TO TIME SERIES ⋮ On \(p\)-adic mathematical physics ⋮ Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics ⋮ On uniqueness of Gibbs measure for \(p\)-adic countable state Potts model on the Cayley tree ⋮ Renormalization method in \(p\)-adic \(\lambda\)-model on the Cayley tree ⋮ On \(G_2\)-periodic quasi Gibbs measures of \(p\)-adic Potts model on a Cayley tree ⋮ \(p\)-adic Brownian motion over \(\mathbb Q_p\) ⋮ DISCONTINUITY OF FOURIER TRANSFORMS OF POISSONIAN TYPE COUNTABLY ADDITIVE MEASURES
Cites Work
- A wavelet theory for local fields and related groups
- Wavelets on ultrametric spaces
- The category of ultrametric spaces is isomorphic to the category of complete, atomic, tree-like, and real graduated lattices LAT\(^*\)
- \(p\)-adic pseudodifferential operators and \(p\)-adic wavelets
- THE WAVE FUNCTION OF THE UNIVERSE AND p-ADIC GRAVITY
- p -adic Brownian motion
- Application ofp-adic analysis to models of breaking of replica symmetry
- Wavelet theory as $ p$-adic spectral analysis
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