Homogeneous dynamics

3 lives in this collection worked in homogeneous dynamics, from 1938 to today. Each has a full course on their life and the mathematics and physics they made.

Often together with: ergodic theory, lie groups, number theory. All fields

  • Marina Ratner1938–2017

    Ergodic theorist who proved the rigidity of horocycle flows and Raghunathan's conjectures on unipotent flows, the foundation of homogeneous dynamics.

    ergodic theory, homogeneous dynamics, lie groups

  • Grigory Margulis1946–

    Proved superrigidity and arithmeticity of higher-rank lattices, built the first explicit expanders, and solved the Oppenheim conjecture by founding homogeneous dynamics.

    lie groups, ergodic theory, homogeneous dynamics

  • Alex Eskin1965–

    Mathematician who used rigidity in dynamics to solve counting problems in number theory, geometric group theory and the moduli space of flat surfaces, including the magic wand theorem with Maryam Mirzakhani.

    dynamical systems, homogeneous dynamics, teichmüller dynamics