Complex cellular structures

DOI10.4007/annals.2019.190.1.3zbMath1448.14056arXiv1802.07577OpenAlexW2962780597MaRDI QIDQ2320608

Gal Binyamini, Dmitri Novikov

Publication date: 23 August 2019

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07577

zbMATH Keywords

topological entropycellular decompositionDiophantine geometryGromov-Yomdin reparametrization

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Topological entropy (37B40) Geometric function theory (30C99) Model theory of ordered structures; o-minimality (03C64)

Related Items (17)

The Yomdin-Gromov algebraic lemma revisited ⋮ Mild parametrizations of power-subanalytic sets ⋮ Doubling chains on complements of algebraic hypersurfaces ⋮ On the Pila-Wilkie theorem ⋮ Bernstein-Remez inequality for algebraic functions: a topological approach ⋮ Space quasi-periodic standing waves for nonlinear Schrödinger equations ⋮ Tameness in geometry and arithmetic: beyond o-minimality ⋮ Quantitative inductive estimates for Green's functions of non-self-adjoint matrices ⋮ Spacetime quasiperiodic solutions to a nonlinear Schrödinger equation on Z ⋮ Wilkie's conjecture for Pfaffian structures ⋮ Uniform Yomdin-Gromov parametrizations and points of bounded height in valued fields ⋮ The dimension growth conjecture, polynomial in the degree and without logarithmic factors ⋮ Doubling coverings via resolution of singularities and preparation ⋮ Smooth parameterizations of power-subanalytic sets and compositions of Gevrey functions ⋮ Point counting for foliations over number fields ⋮ On a family of mild functions ⋮ Semi-algebraic sets method in PDE and mathematical physics

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