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Symplectic homogenization (Q2112369)

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scientific article; zbMATH DE number 7640149

Language	Label	Description	Also known as
English	Symplectic homogenization	scientific article; zbMATH DE number 7640149

Statements

scholarly article

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Symplectic homogenization (English)

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publication date

10 January 2023

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full work available at URL

https://arxiv.org/abs/0801.0206

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zbMATH Keywords

homogenization

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symplectic topology

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Hamiltonian flow

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Hamilton-Jacobi equation

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variational solutions

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MaRDI profile type

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Quasi-states and quasi-measures

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On the limits of periodic Riemannian metrics

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Viscosity Solutions Methods for Singular Perturbations in Deterministic and Stochastic Control

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Singular perturbations of nonlinear degenerate parabolic pDEs: A general convergence result

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Closed geodesics on complete surfaces

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Viscosity solutions of Hamilton-Jacobi equations

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Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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The action spectrum near positive definite invariant tori

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Symplectic aspects of Mather theory

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Mather theory and symplectic rigidity

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On a theorem of Sikorav

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Uniqueness of generating Hamiltonians for topological Hamiltonian flows

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Critical points of quasi-functions and generating families of Legendrian manifolds

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Lagrangian graphs, minimizing measures and Mañé's critical values

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Viscosity Solutions of Hamilton-Jacobi Equations

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Periodic homogenization of Hamilton-Jacobi equations: Additive eigenvalues and variational formula

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Commuting Hamiltonians and Hamilton-Jacobi multi-time equations

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An introduction to \(\Gamma\)-convergence

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Global inversion of functions: An introduction

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New Invariants of Open Symplectic and Contact Manifolds

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Quasi-states and symplectic intersections

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The perturbed test function method for viscosity solutions of nonlinear PDE

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Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens

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Sur la convergence du semi-groupe de Lax-Oleinik

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Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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New energy-capacity-type inequalities and uniqueness of continuous Hamiltonians

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On some completions of the space of hamiltonian maps

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Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent

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Action minimizing invariant measures for positive definite Lagrangian systems

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Partial quasimorphisms and quasistates on cotangent bundles, and symplectic homogenization

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A COMPARISON OF SYMPLECTIC HOMOGENIZATION AND CALABI QUASI-STATES

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On the action spectrum for closed symplectically aspherical manifolds

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DESCENT AND C<sup>0</sup>-RIGIDITY OF SPECTRAL INVARIANTS ON MONOTONE SYMPLECTIC MANIFOLDS

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Symplectic cohomology and a conjecture of Viterbo

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Rigidité symplectique dans le cotangent de \(T^ n\). (Symplectic rigidity on the cotangent bundle of \(T^ n)\)

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Averaging methods in nonlinear dynamical systems

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Action minimizing properties and distances on the group of Hamiltonian diffeomorphisms

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A complete proof of Viterbo's uniqueness theorem on generating functions

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Symplectic homology via generating functions

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Symplectic topology as the geometry of generating functions

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On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows

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Metamorphoses of the Chaperon-Sikorav weak solutions of Hamilton-Jacobi equations

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.5802/JEP.214

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Sitelinks

Mathematics(1 entry)

mardi Publication:2112369

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