Vojta has made quantitative conjectures by relating the Second Main Theorem of Nevan linna theory to the theory of heights and he has conjectured bounds on heights stemming from inequalities having to do with diophantine approximations and implying both classical and... Lees meer.

This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. The reader is assumed to have a basic knowledge of algebra and topology at the first year graduate level of an American un... Lees meer.

An exposition of hyperbolic functional differential inequalities and their applications. It aims to give a presentation of developments in the following problems. functional differential inequalities generated by initial and mixed problems existence theory of local an... Lees meer.

This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva ture -1 which is traditionally called hyperbolic 3-space. This book is concerned with discontinuous groups of motions of... Lees meer.

This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. This book has been heavily class-tested and each chapter contains exercises and a section of historical remarks. This bo... Lees meer.

Simple examples are given by the cases of free . elds in Minkowski spacetime like Klein-Gordon . elds the Dirac . eld and the Maxwell . eld whose . eld equations are given by systems of linear PDEs. The present volume is self-contained and introduces to the treatmen... Lees meer.

Hyperbolic structures analyses the interactions of form with the structural behaviour of hyperbolic lattice towers and the effects of the various influencing factors were determined with the help of parametric studies and load capacity analyses. This evaluation of Shu... Lees meer.

This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyper... Lees meer.

Generalized Trigonometric and Hyperbolic Functions highlights to those in the area of generalized trigonometric functions an alternative path to the creation and analysis of these classes of functions. Previous efforts have started with integral representations for th... Lees meer.

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In this second edition a comprehensive review is given for path integration in two- and three-dimensional homogeneous spaces of constant and non-constant curvature including an enumeration of all the corresponding coordinate systems which allow separation of variab... Lees meer.

A broad range of phenomena in science and technology can be described by non-linear partial differential equations characterized by systems of conservation laws with source terms. This book collects research advances in numerical methods for hyperbolic balance laws and... Lees meer.

The present volume contains a selection of papers from the XVIII International Conference on Hyperbolic Problems. Theory Numerics and Applications HYP2022 which was held on June 20-24 2022 in M laga Spain . The present volume contains a selection of papers from... Lees meer.

1. Combinatorial and geometrical aspects of hyperbolic 3-manifolds Y. Minsky 2. Cone-manifolds and the density conjecture J. Brock and K. Bromberg 3. Harmonic deformations of hyperbolic 3-manifolds C. Hodgson and S. Kerchoff 4. Ending laminations in the Masur domain... Lees meer.

This book explores recent advances in uncertainty quantification for hyperbolic kinetic and related problems. The contributions address a range of different aspects including. polynomial chaos expansions perturbation methods multi-level Monte Carlo methods import... Lees meer.