Contraction of orbits in random dynamical systems on the circle

By V. Kleptsyn, M. B. Nalskii. 2004

61 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d12295afd768c2ccf3b1d27ed6ebf633b162a349

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. B. Deroin
2. V. Kleptsyn

In Mathematical Physics

1. Andrés Navas
2. B. Deroin
3. V. Kleptsyn

In Statistical and Nonlinear Physics

1. B. Deroin
2. Andrés Navas
3. V. Kleptsyn

Citations in the corpus

• Random Conformal Dynamical Systems (2005, methodology): “In particular, the proof of Theorem C works for groups acting by homeomorphisms on the circle, when the probabilities do not depend on the point, which extends previously known results (see for instance [An], [K]; see also [ KlN ]).”
• On the question of ergodicity for minimal group actions on the circle (2008, background): “he circle). The work of V.A. Antonov [1] established the contraction for any minimal and inverse-minimal non-factorizable random dynamics on the circle (one can also find an exposition of this work in [20, 24]). In his excellent work, P. Baxendale [2] studied the sum of the Lyapunov exponents for a s”