Topics in Graph Automorphisms and Reconstruction

Author: Josef Lauri,Raffaele Scapellato

Publisher: Cambridge University Press

ISBN: 1316610446

Category: Mathematics

Page: 212

View: 4075

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This in-depth coverage of important areas of graph theory maintains a focus on symmetry properties of graphs. Standard topics on graph automorphisms are presented early on, while in later chapters more specialised topics are tackled, such as graphical regular representations and pseudosimilarity. The final four chapters are devoted to the reconstruction problem, and here special emphasis is given to those results that involve the symmetry of graphs, many of which are not to be found in other books. This second edition expands on several of the topics found in the first edition and includes both an enriched bibliography and a wide collection of exercises. Clearer proofs are provided, as are new examples of graphs with interesting symmetry properties. Any student who masters the contents of this book will be well prepared for current research in many aspects of the theory of graph automorphisms and the reconstruction problem.
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Partial Differential Equations in Fluid Mechanics

Author: Charles L. Fefferman,James C. Robinson,José L. Rodrigo

Publisher: Cambridge University Press

ISBN: 1108573592

Category: Mathematics

Page: N.A

View: 9505

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The Euler and Navier–Stokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of partial differential equations. This volume of articles, derived from the workshop 'PDEs in Fluid Mechanics' held at the University of Warwick in 2016, serves to consolidate, survey and further advance research in this area. It contains reviews of recent progress and classical results, as well as cutting-edge research articles. Topics include Onsager's conjecture for energy conservation in the Euler equations, weak-strong uniqueness in fluid models and several chapters address the Navier–Stokes equations directly; in particular, a retelling of Leray's formative 1934 paper in modern mathematical language. The book also covers more general PDE methods with applications in fluid mechanics and beyond. This collection will serve as a helpful overview of current research for graduate students new to the area and for more established researchers.
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Descriptive Set Theory and Dynamical Systems

Author: M. Foreman,A. S. Kechris,A. Louveau,B. Weiss

Publisher: Cambridge University Press

ISBN: 9780521786447

Category: Mathematics

Page: 291

View: 2362

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In recent years there has been a growing interest in the interactions between descriptive set theory and various aspects of the theory of dynamical systems, including ergodic theory and topological dynamics. This volume, first published in 2000, contains a collection of survey papers by leading researchers covering a wide variety of recent developments in these subjects and their interconnections. This book provides researchers and graduate students interested in either of these areas with a guide to work done in the other, as well as with an introduction to problems and research directions arising from their interconnections.
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Ergodic Theory and Zd Actions

Author: Mark Pollicott,Klaus Schmidt

Publisher: Cambridge University Press

ISBN: 9780521576888

Category: Mathematics

Page: 484

View: 1681

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A mixture of surveys and original articles that span the theory of Zd actions.
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