Hyperbolic Knot Theory

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

One-Dimensional Ergodic Schrödinger Operators

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The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from dynamical systems, topology, and analysis. Additionally, this setti

Groups and Topological Dynamics

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This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using group theory to

Hamilton–Jacobi Equations: Theory and Applications

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This book gives an extensive survey of many important topics in the theory of Hamilton–Jacobi equations with particular emphasis on modern approaches and view

The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations

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The aim of this book is to provide beginning graduate students who completed the first two semesters of graduate-level analysis and PDE courses with a first exp