Ergodic Theory of Holomorphic Mappings

Mark Elin, Simeon Reich and David Shoikhet
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Mark Elin: ORT Braude College, Department of Mathematics
Simeon Reich: The Technion - Israel Institute of Technology, Department of Mathematics
David Shoikhet: ORT Braude College, Department of Mathematics

Chapter Chapter 5 in Numerical Range of Holomorphic Mappings and Applications, 2019, pp 129-164 from Springer

Abstract: Abstract Ergodic approximations naturally associated with a given holomorphic mapping essentially determine the asymptotic behavior of the nonlinear mapping in a way similar to how the “big bang” seems to determine future developments. Most important among such approximations are those associated to fixed points of the given holomorphic mapping, stationary points of semigroups of holomorphic mappings, and null points of semigroup generators.

Date: 2019
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DOI: 10.1007/978-3-030-05020-7_5

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