A probabilistic approach to exhaustion in the infinite-genus case

Abstract

We explore the use of Costa and Farber's model for random simplicial complexes to give probabilistic evidence for exhaustion via rigid expansions on random simplicial complexes which are analogous of curve complexes. This has potential applications to action rigidity following Ivanov's meta-conjecture.

References in corpus (2)

• Exhausting curve complexes by finite rigid sets
• The random graph embeds in the curve graph of any infinite genus surface