Volume 188, Issue 1 – July 2018

Coarse hyperbolicity and closed orbits for quasigeodesic flows

Pages 1-48 by Steven Frankel

The sharp threshold for making squares

Pages 49-143 by Paul Balister, Béla Bollobás, Robert Morris

Geometric properties of the Markov and Lagrange spectra

Pages 145-170 by Carlos Gustavo Moreira

Vertical perimeter versus horizontal perimeter

Pages 171-279 by Assaf Naor, Robert Young

The algebraic hull of the Kontsevich–Zorich cocycle

Pages 281-313 by Alex Eskin, Simion Filip, Alex Wright

On the local Birkhoff conjecture for convex billiards

Pages 315-380 by Vadim Kaloshin, Alfonso Sorrentino