Atlantis Studies in Dynamical Systems – serie
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8 produkter
Perturbed Gradient Flow Trees and A∞-algebra Structures in Morse Cohomology
Häftad, 2018
716 kr
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This book elaborates on an idea put forward by M. Abouzaid on equipping the Morse cochain complex of a smooth Morse function on a closed oriented manifold with the structure of an A∞-algebra by means of perturbed gradient flow trajectories. This approach is a variation on K. Fukaya’s definition of …
Perturbed Gradient Flow Trees and A∞-algebra Structures in Morse Cohomology
Inbunden, 2018
989 kr
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This book elaborates on an idea put forward by M. Abouzaid on equipping the Morse cochain complex of a smooth Morse function on a closed oriented manifold with the structure of an A∞-algebra by means of perturbed gradient flow trajectories. This approach is a variation on K. Fukaya’s definition of …
Dynamical Aspects of Teichmüller Theory
SL(2,R)-Action on Moduli Spaces of Flat Surfaces
Av Carlos Matheus Silva Santos
Häftad, 2018
771 kr
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This book is a remarkable contribution to the literature on dynamical systems and geometry. It consists of a selection of work in current research on Teichmüller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates …
Normally Hyperbolic Invariant Manifolds
The Noncompact Case
Inbunden, 2013
552 kr
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This monograph treats normally hyperbolic invariant manifolds, with a focus on noncompactness. These objects generalize hyperbolic fixed points and are ubiquitous in dynamical systems.First, normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, …
Lyapunov Exponents of Linear Cocycles
Continuity via Large Deviations
Av Pedro Duarte, Silvius Klein
Inbunden, 2016
1043 kr
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The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an inductive procedure based on a general, geometric version of the Avalanche Principle. The main assumption required by this method is the availability of …
Ergodic Theory of Expanding Thurston Maps
Av Zhiqiang Li
Inbunden, 2017
847 kr
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Thurston maps are topological generalizations of postcritically-finite rational maps. This book provides a comprehensive study of ergodic theory of expanding Thurston maps, focusing on the measure of maximal entropy, as well as a more general class of invariant measures, called equilibrium states, …
Integral Equations on Time Scales
Inbunden, 2016
1098 kr
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This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The …
Relative Equilibria of the Curved N-Body Problem
Av Florin Diacu
Inbunden, 2012
1043 kr
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The guiding light of this monograph is a question easy to understand but difficult to answer: {What is the shape of the universe? In other words, how do we measure the shortest distance between two points of the physical space? Should we follow a straight line, as on a flat table, fly along a …
