Recurrence in Ergodic Theory and Combinatorial Number Theory

Eigenvalues and eigenvectors, Separable space, Series (mathematics), Neighbourhood (mathematics), Probability space, Function (mathematics), Function space, Ultrafilter, Dynamical system, Existential quantification, Limit of a sequence, Diagram (category theory), Convergence in measure, Hilbert space, Cauchy sequence, Poincaré recurrence theorem, Polynomial, Measure (mathematics), Metric space, Product topology, Szemerédi's theorem, Automorphism, Banach space, Transformation (function), Generating set of a group, Homeomorphism, Special case, Ramsey's theorem, Arithmetic progression, Eigenfunction, Characteristic function (probability theory), Transfinite induction, Radon–Nikodym theorem, Equation, Number theory, Ergodic theory, Rado's theorem, Zorn's lemma, Mathematical induction, Topological space, Lebesgue space, Commutative property, Poincaré conjecture, Combinatorics, Syndetic set, Variable (mathematics), Difference set, Finitely generated abelian group, Invariant measure, Bounded operator, Projection (linear algebra), Cartesian product, Ergodicity, Fourier series, Permutation, Theorem, Probability measure, Mathematics, Factorization, Symbolic dynamics, Basis (linear algebra), Homomorphism, Fubini's theorem, Product measure, Subset, Limit ordinal, Differential equation, Set (mathematics), Van der Waerden's theorem, Parity (mathematics)