Chapter 12 Random walks on groups and random transformations

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On the dynamics of (left) orderable groups (2007, background): “— If Γ is a countable group having infinitely many leftinvariant total orders, under what conditions is the space O(Γ) a Γboundary (in the sense of [22])?”
On the question of ergodicity for minimal group actions on the circle (2008, unknown): “, [7]) asserts that the F -invariant measure ν̃ = ν ×mN is ergodic.”
Beyond substitutive dynamical systems: S-adic expansions (2013, background): “For general references on Lyapunov exponents, we refer to [44] and [86].”
Mesures stationnaires et fermés invariants des espaces homogènes (2011, unknown): “Le théorème de Furstenberg et Kesten de positivité du premier exposant de Lyapounov ([15], voir aussi [12] chapitre 1) assure alors que, pour β-presque tout b dans B, il existe un sous-espace Wb V tel que, pour tout v dans V rWb, la norme ‖bn · · · b0v‖ tend (exponentiellement vite) vers l’infini.”
Chapter 2 – Smooth Ergodic Theory and Nonuniformly Hyperbolic Dynamics (2006, background): “We refer the reader to the article [84] by Hasselblatt and Katok in Volume 1A of the Handbook for a discussion on the role of nonuniform hyperbolicity theory, its relations to and interactions with other areas of dynamics.”