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Action-minimizing Methods in Hamiltonian Dynamics (MN-50)
John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach—known as Aubry-Mather theory—singles out the existence of special orbits and invariant measures of the system, which possess a very rich dynamical and geometric structure. In particular, the associated invariant sets play a leading role in determining the global dynamics of the system. This book provides a comprehensive introduction to Mather’s theory, and can serve as an interdisciplinary bridge for researchers and students from different fields seeking to acquaint themselves with the topic.Starting with the mathematical background from which Mather’s theory was born, Alfonso Sorrentino first focuses on the core questions the theory aims to answer—notably the destiny of broken invariant KAM tori and the onset of chaos—and describes how it can be viewed as a natural counterpart of KAM theory. He achieves this by guiding readers through a detailed illustrative example, which also provides the basis for introducing the main ideas and concepts of the general theory. Sorrentino then describes the whole theory and its subsequent developments and applications in their full generality.Shedding new light on John Mather’s revolutionary ideas, this book is certain to become a foundational text in the modern study of Hamiltonian systems.
eBook
Searching for Petronius Totem
\"Searching for Petronius Totem is a satirical novel about Hamilton artist Jack Vesoovian, who -- after his wife Elaine kicks him out, for good reason -- goes on the road to search for his friend, the disgraced memoirist Petronius Totem. Along the way he discovers a sinister plot to take over the world involving evil multinational corporations and flying edible robot chickens. An utterly original love story for the age.\"-- Provided by publisher.
Book
Proof of the 1-factorization and Hamilton Decomposition Conjectures
In this paper the authors prove the following results (via a unified approach) for all sufficiently large n: (i) [1-factorization conjecture] Suppose that n is even and D\\geq 2\\lceil n/4\\rceil -1. Then every D-regular graph G on n vertices has a decomposition into perfect matchings. Equivalently, \\chi'(G)=D. (ii) [Hamilton decomposition conjecture] Suppose that D \\ge \\lfloor n/2 \\rfloor . Then every D-regular graph G on n vertices has a decomposition into Hamilton cycles and at most one perfect matching. (iii) [Optimal packings of Hamilton cycles] Suppose that G is a graph on n vertices with minimum degree \\delta\\ge n/2. Then G contains at least {\\rm reg}_{\\rm even}(n,\\delta)/2 \\ge (n-2)/8 edge-disjoint Hamilton cycles. Here {\\rm reg}_{\\rm even}(n,\\delta) denotes the degree of the largest even-regular spanning subgraph one can guarantee in a graph on n vertices with minimum degree \\delta. (i) was first explicitly stated by Chetwynd and Hilton. (ii) and the special case \\delta= \\lceil n/2 \\rceil of (iii) answer questions of Nash-Williams from 1970. All of the above bounds are best possible.
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The people and the bay : a social and environmental history of Hamilton Harbour
\"This book explores the complicated relationship between Hamilton Harbour and the people who came to reside on its shores. From the time of European settlement through to Hamilton's rise as an industrial city, townsfolk struggled with nature, and with one another, to champion their vision of \"the bay\" as a place to live, work, and play. Bouchier and Cruikshank bring to life the personalities and power struggles, drawing on a rich collection of archival materials. Along the way, they challenge readers to consider how moral and political choices being made about the natural world today will shape the cities of tomorrow.\"-- Provided by publisher.
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Hamilton and the Law
Since its Broadway debut, Hamilton: An American Musical
has infused itself into the American experience: who shapes it, who
owns it, who can rap it best. Lawyers and legal scholars,
recognizing the way the musical speaks to some of our most
complicated constitutional issues, have embraced Alexander Hamilton
as the trendiest historical face in American civics. Hamilton
and the Law offers a revealing look into the legal community's
response to the musical, which continues to resonate in a country
still deeply divided about the reach of the law.
A star-powered cast of legal minds-from two former U.S.
solicitors general to leading commentators on culture and
society-contribute brief and engaging magazine-style articles to
this lively book. Intellectual property scholars share their
thoughts on Hamilton 's inventive use of other sources,
while family law scholars explore domestic violence. Critical race
experts consider how Hamilton furthers our understanding
of law and race, while authorities on the Second Amendment discuss
the language of the Constitution's most contested passage. Legal
scholars moonlighting as musicians discuss how the musical lifts
history and law out of dusty archives and onto the public stage.
This collection of minds, inspired by the phenomenon of the musical
and the Constitutional Convention of 1787, urges us to heed
Lin-Manuel Miranda and the Founding Fathers and to create something
new, daring, and different.
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Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations
In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous
reaction-diffusion equations:
The characterizations of these sets involve two new notions of generalized principal eigenvalues
for linear parabolic operators in unbounded domains. In particular, it allows us to show that
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The less people know about us : a mystery of betrayal, family secrets, and stolen identity
\"In a powerful memoir, identity theft expert Betz-Hamilton tells the shocking and unsettling story of her family, betrayal, and deceit. Convinced that the thief had to be someone they knew, Axton and her parents completely cut off the outside world, isolating themselves from friends and family.\"-- Publisher's description.
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Alexander Hamilton Church
This book, first published in 1988, reassesses the data on Church – accountant, manager and industrial engineer – and stresses the theoretical impact of his ideas upon contemporary business structures as well as his practical desire to implement concepts to better the working man’s day. The past impact of engineers and engineering concepts on accounting and management has previously been overlooked, and this book corrects this. The discussion herein may inspire a much-needed dialogue among engineers, accountants and managers.
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