By Simeon Reich
Nonlinear semigroup conception is not just of intrinsic curiosity, yet can be vital within the examine of evolution difficulties. within the final 40 years, the iteration concept of flows of holomorphic mappings has been of significant curiosity within the thought of Markov stochastic branching procedures, the speculation of composition operators, regulate idea, and optimization. It transpires that the asymptotic habit of suggestions to evolution equations is appropriate to the examine of the geometry of sure domain names in complicated areas. Readers are supplied with a scientific evaluate of many effects bearing on either nonlinear semigroups in metric and Banach areas and the mounted element conception of mappings, that are nonexpansive with recognize to hyperbolic metrics (in specific, holomorphic self-mappings of domain names in Banach spaces). The exposition is equipped in a readable and intuitive demeanour, proposing easy useful and complicated research in addition to very fresh advancements.
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