# Handbook of Hilbert Geometry

## Editors

### Athanase Papadopoulos

Université de Strasbourg, France### Marc Troyanov

École Polytechnique Fédérale de Lausanne, Switzerland

This volume presents surveys, written by experts in the field, on various classical and the modern aspects of Hilbert geometry. They are assuming several points of view: Finsler geometry, calculus of variations, projective geometry, dynamical systems, and others. Some fruitful relations between Hilbert geometry and other subjects in mathematics are emphasized, including Teichmüller spaces, convexity theory, Perron–Frobenius theory, representation theory, partial differential equations, coarse geometry, ergodic theory, algebraic groups, Coxeter groups, geometric group theory, Lie groups and discrete group actions.

The *Handbook* is addressed to both students who want to learn the theory and researchers working in the area.