Discrete differential manifolds and dynamics on networks

DOI10.1063/1.530996zbMath0933.94046arXivhep-th/9408114OpenAlexW2018776851MaRDI QIDQ4873533

F. Vanderseypen, Folkert Mueller-Hoissen, Aristophanes Dimakis

Publication date: 16 April 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9408114

zbMATH Keywords

differentiability of mapsdiscrete differential manifoldalgebraic differential calculusdynamics and field theory on networks

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Applications of graph theory to circuits and networks (94C15)

Related Items (9)

Differential geometry of group lattices ⋮ Principle of event symmetry ⋮ Finitary topos for locally finite, causal and quantal vacuum Einstein gravity ⋮ Homologies of transitive digraphs and discrete spaces;Гомологии транзитивных орграфов и дискретных пространств ⋮ Polyhedral representations of discrete differential manifolds ⋮ Exterior difference system on hypercubic lattice ⋮ \((\alpha,A)\)-manifolds ⋮ Discrete Riemannian geometry ⋮ Elements of discrete differential calculus with applications to crystal physics.

Cites Work

• Finarity substitute for continuous topology
• First flash and second vacuum
• Pre-Regge calculus: Topology via logic
• Random graphs as a model for pregeometry
• Generalized pure spinors
• Discrete time from quantum physics.
• Finite approximations to quantum physics: quantum points and their bundles
• A note on the eigenvalue of a graph
• Quantum topology and quantisation on the lattice of topologies
• Discrete differential calculus: Graphs, topologies, and gauge theory
• Differential calculus and gauge theory on finite sets
• Noncommutative differential calculus and lattice gauge theory

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