Volumes of random 3-manifolds

Abstract

We prove a law of large numbers for the volumes of families of random hyperbolic mapping tori and Heegaard splittings providing a sharp answer to a conjecture of Dunfield and Thurston.

30 pages, 5 figures. Correction on the assumptions on the probability measure in the introduction. Added discussion in section 4.4

References in corpus (1)

• Small eigenvalues of random 3-manifolds

Cited by in corpus (1)

• Uniform models and short curves for random 3-manifolds