P-ADIC DYNAMICAL SYSTEMS AND NEURAL NETWORKS

DOI10.1142/S0218202599000634zbMath1010.82027OpenAlexW1990975848MaRDI QIDQ4799031

Brunello Tirozzi, Andrei Yu. Khrennikov, Sergio A. Albeverio

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202599000634

zbMATH Keywords

neural networks\(p\)-adic model\(p\)-adic dynamical systems

Mathematics Subject Classification ID

Topological dynamics (37B99) Neural networks for/in biological studies, artificial life and related topics (92B20) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Algebraic number theory: local fields (11S99)

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Cites Work

• p-adic quantum mechanics
• \(p\)-adic numbers and renormalization of eigenfunctions in quantum mechanics
• A regularization of quantum field Hamiltonians with the aid of \(p\)-adic numbers
• p-ADIC HILBERT SPACE REPRESENTATION OF QUANTUM SYSTEMS WITH AN INFINITE NUMBER OF DEGREES OF FREEDOM
• Neural networks and physical systems with emergent collective computational abilities.