Gradient Flows : in Metric Spaces and in the Space of Probability Measures
Devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable ...
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Hamiltonian Methods in the Theory of Solitons
The main characteristic of this now classic exposition of the inverse scattering method and its applications to soliton theory ...
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Information Geometry : Near Randomness and Near Independence
This volume will be useful to practising scientists and students working in the application of statistical models to real ...
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Isomonodromic Deformations and Frobenius Manifolds : An Introduction
The notion of a Frobenius structure on a complex analytic manifold appeared at the end of the seventies in the theory of ...
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Linear Differential Equations and Group Theory from Riemann to Poincaré
This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was ...
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Matrix Convolution Operators on Groups
In the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications. ...
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Measure, Integration & Real Analysis
This book welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible ...
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Metric Structures for Riemannian and Non-Riemannian Spaces
The first stages of the new developments were presented in Gromov's course in Paris, which turned into the famous "Green ...
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Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces
As K. Nomizu has justly noted [K. Nomizu, 56], Differential Geometry ever will be initiating newer and newer aspects of the ...
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Quantum Riemannian Geometry
This book provides a comprehensive account of a modern generalisation of differential geometry in which coordinates need ...
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Riemannian Geometry
Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and ...
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Riemannian Geometry and Geometric Analysis
Offering some topics of contemporary mathematical research, this fourth edition provides an introduction to Riemannian geometry ...
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Riemannian Geometry and Geometric Analysis
This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical ...
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Scalar and Asymptotic Scalar Derivatives : Theory and Applications
This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in ...
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Selected Topics in Complex Analysis
This volume is dedicated to the memory of the outstanding mathematician S.Ya. Khavinson. It begins with an expository paper ...
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Spectral Theory of Infinite-Area Hyperbolic Surfaces
This book introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive ...
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Splitting Deformations of Degenerations of Complex Curves
The author develops a deformation theory for degenerations of complex curves; specifically, he treats deformations which ...
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Topics in the Theory of Algebraic Function Fields
This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study of function fields as ...
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Value-Distribution of L-Functions
This book presents recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. ...
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Vanishing and Finiteness Results in Geometric Analysis : A Generalization of the Bochner Technique
This book presents very recent results involving an extensive use of analytical tools in the study of geometrical and topological ...
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