Explores infinitesimal deformations of one-dimensional maps, discussing common characteristics, methods, and recent results in expanding and piecewise expanding maps.
Explores symmetry in modern geometry, focusing on isometries, reflections, rotations, and translations, emphasizing the importance of 180-degree rotations.
Explores the geometry and statistical properties of dispersing billiards, aiming to extend the analysis to equilibrium states and covering topics like hyperbolicity and distortion control.