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CONTENTS§ 1. Introduction.................................................................................................... 5§ 2. Contraction quasi semigroups associated with, a semiflow....................... 7§ 3. Induced contraction semigroups....................................................................... 12§ 4. Discrete random ergodic theorems.................................................................. 18§ 5. Continuous random ergodic theorems...............................................................
CONTENTSIntroduction.............................................................................................................................. 31. Definition of the Riccati equation of the n-th order....................................................... 62. Theorems on the existence of solutions of R equations. Relations between the solutions of linear differential equations and the solutions of the corresponding R equations..................................................................................................
CONTENTS1. Introduction........................................................................................................ 52. Preliminaries. Special kinds of continua............................................................. 63. Classes of mappings.............................................................................................. 124. Generated classes of mappings.......................................................................... 155. General properties of mappings..............................................................................
Summary: For a large class of classical field models used for realistic quantum field theoretic models, an infinite-dimensional supermanifold of classical solutions in Minkowski space can be constructed. This solution supermanifold carries a natural symplectic structure; the resulting Poisson brackets between the field strengths are the classical prototypes of the canonical (anti-) commutation relations. Moreover, we discuss symmetries and the Noether theorem in this context.
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