Negativity of Lyapunov Exponents and Convergence of Generic Random Polynomial Dynamical Systems and Random Relaxed Newton’s Methods
Author:
Funder
Japan Society for the Promotion of Science
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
https://link.springer.com/content/pdf/10.1007/s00220-021-04070-6.pdf
Reference43 articles.
1. Ahlfors, L.V.: Complex Analysis, 3rd edn. McGraw-ill International Editions, London (1979)
2. Baxendale, P.: Lyapunov exponents and relative entropy for a stochastic flow of diffeomorphisms. Probab. Theory Rel. Fields 81, 521–554 (1989)
3. Beardon, A.: Iteration of Rational Functions, Graduate Texts in Mathematics 132. Springer, Berlin (1991)
4. Brück, R.: Connectedness and stability of Julia sets of the composition of polynomials of the form $$z^{2}+c_{n}$$. J. Lond. Math. Soc. 61, 462–470 (2000)
5. Brück, R.: Geometric properties of Julia sets of the composition of polynomials of the form $$z^{2}+c_{n}$$. Pac. J. Math. 198(2), 347–372 (2001)
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