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23 records were found.

Dynamical Evolution in Noncommutative Discrete Phase Space and the Derivation of Classical Kinetic Equations

Comment: LaTeX2e, 40 pages, 1 Postscript figure, uses package epsfig

On the uniqueness of the Moyal structure of phase-space functions

Comment: 13 pages, Latex

Noncommutative geometry and its relation to stochastic calculus and symplectic mechanics

Comment: Talk presented by C.T. at the 4th International Conference in Geometry, Thessaloniki, May 1996, 10 pages, Latex

Non-commutative Geometry and Kinetic Theory of Open Systems

Comment: 22 pages, LaTeX

Discrete differential calculus, graphs, topologies and gauge theory

Comment: 36 pages, revised version, appendix added

Discrete Riemannian Geometry

Comment: 34 pages, 1 figure (eps), LaTeX, amssymb, epsfig

Noncommutative Geometry and Integrable Models

A construction of conservation laws for $\sigma$-models in two dimensions is generalized in the framework of noncommutative geometry of commutative algebras. This is done by replacing the ordinary calculus of differential forms with other differential calculi and introducing an analogue of the Hodge operator on the latter. The general method is illustrated with several examples.

Soliton equations and the zero curvature condition in noncommutative geometry

Comment: Latex, 10 pages

Noncommutative geometry and a class of completely integrable models

We introduce a Hodge operator in a framework of noncommutative geometry. The complete integrability of 2-dimensional classical harmonic maps into groups (sigma-models or principal chiral models) is then extended to a class of 'noncommutative' harmonic maps into matrix algebras.

Some aspects of noncommutative geometry and physics

Comment: 16 pages, LaTeX, uses amssymb