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, as well as, overviews of history and methods of proofs are presented. Furthermore, issues (such as uniformity and bounded geometry) arising due to noncompactness are discussed in great detail with examples. The main new result shown is a proof of persistence for noncompact normally...
This monograph treats normally hyperbolic invariant manifolds, with a focus on noncompactness. These objects generalize hyperbolic fixed points and...
The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The main assumption required by this method is the availability of appropriate large deviation type estimates for quantities related to the iterates of the base and fiber dynamics associated with the linear cocycle.
The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The main assumption required ...
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, and certain weak expansion properties of such maps.
Thurston maps are topological generalizations of postcritically-finite rational maps. This book provides a comprehensive study of ergodic theory of ex...
This book offers the reader an overview of recent developments of integral equations on time scales. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses.
This book offers the reader an overview of recent developments of integral equations on time scales. This book is primarily intended for senior underg...
To make A� -structures in Morse theory accessible to a broader audience, this book provides a coherent and detailed treatment of Abouzaid's approach, including a discussion of all relevant analytic notions and results, requiring only a basic grasp of Morse theory.
To make A� -structures in Morse theory accessible to a broader audience, this book provides a coherent and detailed treatment of Abouzaid'...
