Theorie du Potentiel sur les Graphes et les Varietes

DOI10.1007/BFb0103041zbMath1320.60134MaRDI QIDQ2943642

Alano Ancona

Publication date: 3 September 2015

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Martin boundary theory (31C35) Probabilistic potential theory (60J45) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (26)

Elliptic operators, conormal derivatives and positive parts of functions (with an appendix by Haïm Brezis) ⋮ Subelliptic estimates from Gromov hyperbolicity ⋮ Infinite weighted graphs with bounded resistance metric ⋮ Complete classification of the positive solutions of \(-\Delta u+u^q\) ⋮ An embedding of the Morse boundary in the Martin boundary ⋮ The Martin boundary of a free product of abelian groups ⋮ Geometric characterization of Lyapunov exponents for Riemann surface laminations ⋮ On the structure of complete hypersurfaces in a Riemannian manifold of nonnegative curvature and \(L^2\) harmonic forms ⋮ The ergodic theory of discrete isometry groups on manifolds of variable negative curvature ⋮ Harmonic functions on hyperbolic graphs ⋮ Asymptotic Schur orthogonality in hyperbolic groups with application to monotony ⋮ Boundary value problems with measures for elliptic equations with singular potentials ⋮ Positive solutions of a class of semilinear equations with absorption and Schrödinger equations ⋮ Semilinear elliptic equations with Hardy potential and subcritical source term ⋮ Topology and dynamics of laminations in surfaces of general type ⋮ Local limit theorem in negative curvature ⋮ Noyau de la chaleur et discrétisation d'une variété riemannienne. (Heat kernel and discretization of a Riemannian manifold) ⋮ A Wolff-Denjoy theorem for infinitely connected Riemann surfaces ⋮ Bounded harmonic maps ⋮ Harmonic functions on ℝ-covered foliations ⋮ Ratio limit theorem for parabolic horn-shaped domains ⋮ Potential theory on Gromov hyperbolic spaces ⋮ Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds ⋮ Elliptic Theory for Sets with Higher Co-dimensional Boundaries ⋮ Semilinear elliptic equations with subcritical absorption in Lipschitz domains ⋮ Amenability and the Liouville property

Cites Work

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• Function theory, random paths and covering spaces
• On the Harnack inequality for linear elliptic equations
• Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel
• Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel
• The Dirichlet problem at infinity for manifolds of negative curvature
• The Dirichlet problem at infinity for a negatively curved manifold
• Winding of the plane Brownian motion
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Brownian motion and random walks on manifolds
• Isoperimetric inequalities and Markov chains
• Positive harmonic functions on complete manifolds of negative curvature
• Une propriété de la compactification de Martin d'un domaine euclidien
• Instability of Liouville property for quasi-isometric Riemannian manifolds and reversible Markov chains
• On the parabolic kernel of the Schrödinger operator
• Random walks on discrete groups: Boundary and entropy
• Negatively curved manifolds, elliptic operators, and the Martin boundary
• A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
• Positive harmonic functions vanishing on the boundary of certain domains in \(R^ n\).
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• The fundamental group and the spectrum of the Laplacian
• Principle de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien
• A simple criterion for transience of a reversible Markov chain
• Régularité d'accès des bouts et frontière de Martin d'un domaine euclidiens
• Limites angulaires et limites fines
• Harmonic spaces and their potential theory
• Fatou-Naïm-Doob limit theorems in the axiomatic system of Brelot
• Théoreme de limites fines et problème de Dirichlet
• A Poisson formula for semi-simple Lie groups
• Visibility manifolds
• DIRICHLET SPACES
• Conditional brownian motion and the boundary limits of harmonic functions
• Hausdorff Dimension of Harmonic Measures on Negatively Curved Manifolds
• Minimal Solutions of the Heat Equation and Uniqueness of the Positive Cauchy Problem on Homogeneous Spaces
• ON THE MINIMAL THINNESS IN A LIPSCHITZ DOMAIN
• On the Existence of Green's Function in Riemannian Manifolds
• On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
• Harmonic functions on complete riemannian manifolds
• Behavior of diffusion semi-groups at infinity
• On Martin Boundaries for the Direct Product of Markov Chains
• Differential equations on riemannian manifolds and their geometric applications
• Elliptic Partial Differential Equations of Second Order
• Ergodic properties of Brownian motion on covers of compact negatively-curve manifolds
• Positive Harmonic Functions on Lipschitz Domains
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
• Étude au voisinage de la frontière des fonctions subharmoniques positives dans un demi-espace

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