Groups, Orders, and Dynamics

2014/08/25 by Deroin, B., Navas, A., Rivas, C. · 5 citations
#Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Probability (math.PR)

paper · doi:10.48550/arxiv.1408.5805

Abstract

This is an almost self-contained monograph (containing some new results) on left-orderable groups which mostly rely on dynamical and probabilistic aspects, but also on geometric, combinatorial, analytic, and topological ones. This new version contains many improvements, corrections and updates, many of them suggested by the referees and colleagues along the last years.

Cited by

• Orderability and Asymptotic Structure of QI(ℝⁿ)
• Conditional means, vector pricings, amenability and fixed points in cones
• The Wiegold problem and free products of left-orderable groups
• Spaces of left-preorders on free products
• The space of Conradian left-preorders

Related

• On the dynamics of (left) orderable groups
• Orderable groups and semigroup compactifications
• Proof Theory and Ordered Groups
• The topology on the space of left orderings of a group
• Condensation and left-orderable groups