scientific article; zbMATH DE number 891064
From MaRDI portal
Publication:4880542
zbMath0846.05095MaRDI QIDQ4880542
Publication date: 11 July 1996
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
surveycompactificationtopological dynamicsHales-Jewett theoremRamsey theoryFurstenberg-Sárközy theoremHindman's theoremergodic Ramsey theorydistal systemspolynomial ergodic theoremsergodic theory of multiple recurrencepolynomial ergodic Szemerédi theorem
Related Items
Nonstandard methods for upper Banach density problems. ⋮ Van der Corput's difference theorem: some modern developments ⋮ An excursion into nonlinear Ramsey theory ⋮ Some open problems on multiple ergodic averages ⋮ Polynomial ergodic averages for certain countable ring actions ⋮ Characteristic factors for commuting actions of amenable groups ⋮ Recurrence properties of hypercyclic operators ⋮ Equivariant maps and bimodule projections ⋮ Seminorms for multiple averages along polynomials and applications to joint ergodicity ⋮ Dynamics in dimension zero A survey ⋮ Pointwise ergodic theorems for non-conventional bilinear polynomial averages ⋮ On Rado conditions for nonlinear Diophantine equations ⋮ Sets of \(k\)-recurrence but not \((k+1)\)-recurrence ⋮ Revisiting the nilpotent polynomial Hales-Jewett theorem ⋮ Single and multiple recurrence along non-polynomial sequences ⋮ Ramsey properties of nonlinear Diophantine equations ⋮ Under-recurrence in the Khintchine recurrence theorem ⋮ On a multi-parameter variant of the Bellow–Furstenberg problem ⋮ Concentration estimates for functions of finite high‐dimensional random arrays ⋮ Polynomial sequences in discrete nilpotent groups of step 2 ⋮ Additive averages of multiplicative correlation sequences and applications ⋮ Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications ⋮ Combinational proof for a theorem concerning the upper Banach density ⋮ A generalization of van der Corput's difference theorem with applications to recurrence and multiple ergodic averages ⋮ A Furstenberg-Katznelson-Weiss type theorem on \((d+1)\)-point configurations in sets of positive density in finite field geometries ⋮ Idempotent ultrafilters, multipleweak mixing and Szemerédi's theorem for generalized polynomials ⋮ Juxtaposing combinatorial and ergodic properties of large sets of integers ⋮ Polynomial averages and pointwise ergodic theorems on nilpotent groups ⋮ Variations on topological recurrence ⋮ Marstrand-type Theorems for the Counting and Mass Dimensions in ℤ ⋮ Deducing the density Hales-Jewett theorem from an infinitary removal lemma ⋮ Polynomials at iterated spectra near zero ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Ergodic theorem involving additive and multiplicative groups of a field and patterns ⋮ Uniform distribution of prime powers and sets of recurrence and van der Corput sets in \(\mathbb{Z}^k\) ⋮ On monochromatic solutions to \(x-y=z^2\) ⋮ Multiple recurrence in quasirandom groups ⋮ A proof of a sumset conjecture of Erdős ⋮ A Diophantine Ramsey theorem ⋮ Monochromatic solutions for multi-term unknowns ⋮ Measure preserving actions of affine semigroups and patterns ⋮ Sets of large values of correlation functions for polynomial cubic configurations ⋮ Multiple ergodic averages for tempered functions ⋮ Improved estimates for polynomial Roth type theorems in finite fields ⋮ Van der Waerden spaces ⋮ The sumset phenomenon ⋮ Partition regular structures contained in large sets are abundant ⋮ Sequence entropy pairs and complexity pairs for a measure. ⋮ Hindman spaces ⋮ Characterizing the structure of \(A+B\) when \(A+B\) has small upper Banach density ⋮ A combinatorial proof of the dense Hindman's theorem ⋮ Rado's criterion over squares and higher powers ⋮ On a generalization of the van der Waerden theorem ⋮ Iterated differences sets, Diophantine approximations and applications ⋮ Under- and over-independence in measure preserving systems ⋮ Plünnecke’s Theorem for asymptotic densities ⋮ Poincaré recurrence and number theory: thirty years later ⋮ Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics ⋮ Higher order Fourier analysis of multiplicative functions and applications ⋮ Topological multiple recurrence of weakly mixing minimal systems for generalized polynomials ⋮ WM groups and Ramsey theory ⋮ A selection of open problems ⋮ A Hörmander type theorem in finite fields ⋮ Strongly central sets and sets of polynomial returns mod 1 ⋮ Intersections of shifted sets ⋮ The Furstenberg-Sárközy theorem and asymptotic total ergodicity phenomena in modular rings ⋮ Polynomial averages converge to the product of integrals