On NIP and invariant measures

From MaRDI portal
Publication:550563

DOI10.4171/JEMS/274zbMath1220.03016arXiv0710.2330OpenAlexW2134988756MaRDI QIDQ550563

Anand Pillay, Ehud Hrushovski

Publication date: 12 July 2011

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2330




Related Items (89)

Structure and regularity for subsets of groups with finite VC-dimensionOn stably pointed varieties and generically stable groups in ACVFCohomology of algebraic varieties over non-archimedean fieldsDefinable convolution and idempotent Keisler measuresPseudo real closed fields, pseudo \(p\)-adically closed fields and \(\mathrm{NTP}_{2}\)On ω-categorical, generically stable groups\(G\)-linear sets and torsion points in definably compact groupsAN INDEPENDENCE THEOREM FOR NTP2 THEORIESGENERIC STABILITY AND STABILITYSequential approximations for types and Keisler measuresOn the proof of elimination of imaginaries in algebraically closed valued fieldsForking and dividing in fields with several orderings and valuationsThe domination monoid in o-minimal theoriesA short note on groups in separably closed valued fieldsVapnik-Chervonenkis density in some theories without the independence property. IIWeight and measure in NIP theoriesNon-forking and preservation of NIP and dp-rankA fixed-point theorem for definably amenable groupsDefinable groups as homomorphic images of semi-linear and field-definable groupsOn \(\omega\)-categorical, generically stable groups and ringsConsistent amalgamation for þ-forkingOn compactifications and the topological dynamics of definable groupsTheories without the tree property of the second kindInvariant measures in simple and in small theoriesOn minimal flows and definable amenability in some distal NIP theoriesA note on fsg$\text{fsg}$ groups in p‐adically closed fieldsTopological properties of definable sets in ordered Abelian groups of burden 2ON MODEL-THEORETIC CONNECTED GROUPSTopologizing interpretable groups in \(p\)-adically closed fieldsApproximate subgroups with bounded VC-dimensionSTABILIZERS, GROUPS WITH -GENERICS, AND PRC FIELDSInvariance results for definable extensions of groupsKeisler measures in the wildGeneralised Bohr compactification and model-theoretic connected componentsON GROUPS WITH DEFINABLE F-GENERICS DEFINABLE IN P-ADICALLY CLOSED FIELDSAn invitation to extension dominationDefinably compact groups definable in real closed fieldsOn minimal flows, definably amenable groups, and o-minimalityStructure theorems in tame expansions of o-minimal structures by a dense setStable domination and weightON THE NUMBER OF DEDEKIND CUTS AND TWO-CARDINAL MODELS OF DEPENDENT THEORIESConnected components of definable groups and o-minimality. IOne-basedness and groups of the form \(G/G ^{00}\)Amenability, definable groups, and automorphism groupsFinding generically stable measuresAsymmetric regular typesImaginaries, invariant types and pseudo \(p\)-adically closed fieldsRAMSEY GROWTH IN SOME NIP STRUCTURESApproximate subgroupsDefinably amenable NIP groupsOn non-forking spectraPillay's conjecture for groups definable in weakly o‐minimal non‐valuational structuresDefinable groups in models of Presburger arithmeticPseudofinite groups and VC-dimensionTHE ELLIS GROUP CONJECTURE AND VARIANTS OF DEFINABLE AMENABILITYOn some dynamical aspects of NIP theoriesVC-sets and generic compact dominationGeneric stability, forking, and þ-forkingA note on generically stable measures and fsg groupsModel theoretic connected components of groupsBounded orbits and measures on a groupModel theoretic aspects of the Ellis semigroupDEFINABLE AND INVARIANT TYPES IN ENRICHMENTS OF NIP THEORIESRemarks on generic stability in independent theoriesStrict independenceSome model theory of SL(2,R)Minimal stable types in Banach spacesA Vietoris-Smale mapping theorem for the homotopy of hyperdefinable setsLOCAL KEISLER MEASURES AND NIP FORMULASFields interpretable in rosy theoriesSome model theory and topological dynamics of $p$-adic algebraic groupsA REDUCTION TO THE COMPACT CASE FOR GROUPS DEFINABLE IN O-MINIMAL STRUCTURESA REDUCTION TO THE COMPACT CASE FOR GROUPS DEFINABLE IN O-MINIMAL STRUCTURESTopological dynamics and NIP fieldsBoundedness and absoluteness of some dynamical invariants in model theoryCompact domination for groups definable in linear o-minimal structuresOn \(n\)-dependenceGenerically stable and smooth measures in NIP theoriesOn 𝜔-categorical groups and rings with NIPStable group theory and approximate subgroupsExternally definable sets and dependent pairs IIDividing lines in unstable theories and subclasses of Baire 1 functionsDOMINATION AND REGULARITYModel Theory in Algebra, Analysis and Arithmetic: A PrefaceSome Themes Around First Order Theories Without the Independence PropertyRosenthal compacta and NIP formulasASSOCIATIVITY OF THE MORLEY PRODUCT OF INVARIANT MEASURES IN NIP THEORIESConnected components of definable groups, and o-minimality. II.External definability and groups in NIP theories



Cites Work


This page was built for publication: On NIP and invariant measures