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Geometry and Dynamics in Gromov Hyperbolic Metric Spaces

This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces;

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Geometry and Analysis of Metric Spaces via Weighted Partitions

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The central notion is a;

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Hyperbolic Geometry From A Local Viewpoint

infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains;

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Hyperbolic Geometry from a Local Viewpoint

infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains;

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Metric Structures for Riemannian and Non-Riemannian Spaces

systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as an extensive bibliography and index;

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Lectures on Coarse Geometry

Coarse geometry is the study of spaces (particularly metric spaces) from a 'large scale' point of view, so that two spaces that look the;

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Analytic Hyperbolic Geometry

analogies that the classical and the modern in this book share.The scope of analytic hyperbolic geometry that the book presents is cross;

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Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8)

The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming.;

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Lectures On Finsler Geometry

of curvature to regular metric spaces and introduced an important non-Riemannian curvature using his connection for regular metrics. Since then;

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Perturbing Material-Components on Stable Shapes

of both (1) material systems and of (2) the metric-spaces, which contain the material systems where material is simply a lower dimension metric;

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Selected Works I

and one of the main founders of metric geometry, convexity theory and convexity in metric spaces. Busemann also did substantial work (probably;

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Selected Works II

and one of the main founders of metric geometry, convexity theory and convexity in metric spaces. Busemann also did substantial work (probably;

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Sobolev Spaces On Metric Measure Spaces

Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis;

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Geometry and Martingales in Banach Spaces

metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts;

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Geometry and Martingales in Banach Spaces

metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts;

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Metrical and Dynamical Aspects in Complex Analysis

, collected here for the first time, will be of interest to academics working in the fields of several complex variables and metric geometry. The;

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The Geometrization Conjecture

which the metric is converging smoothly to hyperbolic metrics and pieces that are locally more and more volume collapsed. The second half of the;

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Geometries and Transformations

metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with;

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Nonlinear Semigroups, Fixed Points, And Geometry Of Domains In Banach Spaces

results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with;

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On Beyond Euclid

Propositions--more or less in order--and see how each one generalizes--or does not generalize--to hyperbolic and other non-Euclidean spaces. Few people;

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Hyperbolic Knot Theory

This book provides an introduction to hyperbolic geometry in dimension three, with motivation and applications arising from knot theory;

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Metric and Differential Geometry

metric spaces, Ricci flow, Einstein manifolds, Kahler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most;

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Potential Theory on Sierpinski Carpets

Sierpinski carpets, and proposes a theory based on the latest developments in the field of analysis on metric spaces. The first part focuses on the;

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The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type

Partial differential equations of mixed elliptic-hyperbolic type arise in diverse areas of physics and geometry, including fluid and plasma;

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A Gyrovector Space Approach to Hyperbolic Geometry

The mere mention of hyperbolic geometry is enough to strike fear in the heart of the undergraduate mathematics and physics student. Some;

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Classical Geometries in Modern Contexts

dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general;

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Lectures on Discrete Geometry

embeddings of finite metric spaces into normed spaces. In each area, the text explains several key results and methods.;

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