Beschreibung
InhaltsangabePrologue. Preface. Section I: Finsler Laplacians in Application. Introduction to Diffusions on Finsler Manifolds; P.L. Antonelli, T.J. Zastawniak. Density Dependent Host/Parasite Systems of Rothschild Type and Finslerian Diffusion; P.L. Antonelli, T.J. Zastawniak. Stochastic Finsler Geometry in the Theory of Evolution by Symbiosis; P.L. Antonelli, T.J. Zastawniak. Section II: Stochastic Analysis and Brownian Motion. Diffusion and Finsler Manifolds; P.L. Antonelli, T.J. Zastawniak. Stochastic Calculus on Finsler Manifolds and an Application in Biology; P.L. Antonelli, T.J. Zastawniak. Diffusion on the Tangent and Indicatrix Bundles of a Finsler Manifold; P.L. Antonelli, T.J. Zastawniak. Section III: Stochastic Lagrange Geometry. Diffusion on the Total Space of a Vector Bundle; D. Hrimiuc. Diffusion and Laplacians on Lagrange Manifolds; P.L. Antonelli, D. Hrimiuc. Section IV: Mean-Value Properties of Harmonic Functions. Diffusion, Laplacian and Hodge Decomposition on Finsler Spaces; P.L. Antonelli, T.J. Zastawniak. A Mean-Value Laplacian for Finsler Spaces; P. Centore. Section V: Analytical Constructions. The Non-Linear Laplacian for Finsler Manifolds; Z. Shen. A Bochner Vanishing Theorem for Elliptic Complices; B. Lackey. A Lichnerowicz Vanishing Theorem for Finsler Spaces; B. Lackey. A Geometric Inequality and a Weitzenböck Formula; D. Bao, B. Lackey. Spinors on Finsler Spaces; F.J. Flaherty.
Inhaltsverzeichnis
Prologue. Preface. Section I: Finsler Laplacians in Application. Introduction to Diffusions on Finsler Manifolds; P.L. Antonelli, T.J. Zastawniak. Density Dependent Host/Parasite Systems of Rothschild Type and Finslerian Diffusion; P.L. Antonelli, T.J. Zastawniak. Stochastic Finsler Geometry in the Theory of Evolution by Symbiosis; P.L. Antonelli, T.J. Zastawniak. Section II: Stochastic Analysis and Brownian Motion. Diffusion and Finsler Manifolds; P.L. Antonelli, T.J. Zastawniak. Stochastic Calculus on Finsler Manifolds and an Application in Biology; P.L. Antonelli, T.J. Zastawniak. Diffusion on the Tangent and Indicatrix Bundles of a Finsler Manifold; P.L. Antonelli, T.J. Zastawniak. Section III: Stochastic Lagrange Geometry. Diffusion on the Total Space of a Vector Bundle; D. Hrimiuc. Diffusion and Laplacians on Lagrange Manifolds; P.L. Antonelli, D. Hrimiuc. Section IV: Mean-Value Properties of Harmonic Functions. Diffusion, Laplacian and Hodge Decomposition on Finsler Spaces; P.L. Antonelli, T.J. Zastawniak. A Mean-Value Laplacian for Finsler Spaces; P. Centore. Section V: Analytical Constructions. The Non-Linear Laplacian for Finsler Manifolds; Z. Shen. A Bochner Vanishing Theorem for Elliptic Complices; B. Lackey. A Lichnerowicz Vanishing Theorem for Finsler Spaces; B. Lackey. A Geometric Inequality and a Weitzenböck Formula; D. Bao, B. Lackey. Spinors on Finsler Spaces; F.J. Flaherty.
