7 lives in this collection worked in ergodic theory, from 1880 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: mathematical physics, functional analysis, homogeneous dynamics, lie groups, probability theory, set theory. All fields
Hungarian analyst, a founder of functional analysis, known for the Riesz–Fischer and Riesz representation theorems, the L^p spaces, the theory of compact operators and subharmonic functions.
functional analysis, operator theory, real analysis
Mathematician who founded the Hilbert-space formulation of quantum mechanics, operator algebras and game theory, and defined the stored-program computer.
set theory, mathematical physics, functional analysis
Polish-American mathematician of the Lwów school who introduced measurable cardinals, conjectured the Borsuk–Ulam theorem, invented the Monte Carlo method, co-designed the hydrogen bomb and ran the Fermi–Pasta–Ulam–Tsingou experiment.
set theory, measure theory, topology
Founder of the modern theory of chaotic dynamical systems through Kolmogorov–Sinai entropy, dispersing billiards, Markov partitions and SRB measures, and a leader of rigorous statistical physics.
ergodic theory, dynamical systems, mathematical physics
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
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
First woman to win the Fields Medal, for her work on the geometry and dynamics of Riemann surfaces and their moduli spaces.
hyperbolic geometry, teichmüller theory, ergodic theory