Michel Rigo's Books

Formal Languages, Automata and Numeration Systems 1

Introduction to Combinatorics on Words

By: Michel Rigo

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Formal Languages, Automata and Numeration Systems 1

Introduction to Combinatorics on Words

By: Michel Rigo

Formal Languages, Automaton and Numeration Systems presents readers with a review of research related to formal language theory, combinatorics on words or numeration systems, such as Words, DLT (Developments in Language Theory), ICALP, MFCS (Mathematical Foundation of Computer Science), Mons Theoretical Computer Science Days, Numeration, CANT (Combinatorics, Automata and Number Theory). Combinatorics on words deals with problems that can be stated in a non-commutative monoid, such as subword complexity of finite or infinite words, construction and properties of infinite words, unavoidable regularities or patterns. When considering some numeration systems, any integer can be represented as a finite word over an alphabet of digits. This simple observation leads to the study of the relationship between the arithmetical properties of the integers and the syntactical properties of the corresponding representations. One of the most profound results in this direction is given by the celebrated theorem by Cobham. Surprisingly, a recent extension of this result to complex numbers led to the famous Four Exponentials Conjecture. This is just one example of the fruitful relationship between formal language theory (including the theory of automata) and number theory.

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Page Count

330

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119008220

ISBN 13

9781119008224

Advanced Graph Theory and Combinatorics

By: Michel Rigo

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Advanced Graph Theory and Combinatorics

By: Michel Rigo

Advanced Graph Theory focuses on some of the main notions arising in graph theory with an emphasis from the very start of the book on the possible applications of the theory and the fruitful links existing with linear algebra. The second part of the book covers basic material related to linear recurrence relations with application to counting and the asymptotic estimate of the rate of growth of a sequence satisfying a recurrence relation.

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Page Count

290

Publisher

John Wiley & Sons

Published Date

ISBN 10

1848216165

ISBN 13

9781848216167

Formal Languages, Automata and Numeration Systems 2

Applications to Recognizability and Decidability

By: Michel Rigo

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Formal Languages, Automata and Numeration Systems 2

Applications to Recognizability and Decidability

By: Michel Rigo

The interplay between words, computability, algebra and arithmetic has now proved its relevance and fruitfulness. Indeed, the cross-fertilization between formal logic and finite automata (such as that initiated by J.R. Büchi) or between combinatorics on words and number theory has paved the way to recent dramatic developments, for example, the transcendence results for the real numbers having a "simple" binary expansion, by B. Adamczewski and Y. Bugeaud. This book is at the heart of this interplay through a unified exposition. Objects are considered with a perspective that comes both from theoretical computer science and mathematics. Theoretical computer science offers here topics such as decision problems and recognizability issues, whereas mathematics offers concepts such as discrete dynamical systems. The main goal is to give a quick access, for students and researchers in mathematics or computer science, to actual research topics at the intersection between automata and formal language theory, number theory and combinatorics on words. The second of two volumes on this subject, this book covers regular languages, numeration systems, formal methods applied to decidability issues about infinite words and sets of numbers.

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268

Publisher

John Wiley & Sons

Published Date

ISBN 10

1848217889

ISBN 13

9781848217881

Constructing Quantum Mechanics Volume 2

The Arch, 1923-1927

By: Prof Michel (Professor for History of Science Janssen, Professor for History of Science School of Physics and Astronomy Unversity of Minnesota),Professor for History of Science Michel Janssen,Prof Anthony (Professor of Physics Emeritus Duncan, Professor of Physics Emeritus University of Pittsburgh),Professor of Physics Emeritus Anthony Duncan

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Constructing Quantum Mechanics Volume 2

The Arch, 1923-1927

This is the second of two volumes on the genesis of quantum mechanics in the first quarter of the 20th century. It covers the period 1923-1927. After covering some of the difficulties the old quantum theory had run into by the early 1920s as well as the discovery of the exclusion principle and electron spin, it traces the emergence of two forms of the new quantum mechanics, matrix mechanics and wave mechanics, in the years 1923-27. It then shows how the new theory took care of some of the failures of the old theory and put its successes on a more solid basis. Finally, it shows how in 1927 the two forms of the new theory were unified, first through statistical transformation theory, then through the Hilbert space formalism. This volume provides a detailed analysis of the classic papers by Heisenberg, Born, Jordan, Dirac, De Broglie, Einstein, Schrödinger, von Neumann and other authors. Drawing on the correspondence of these and other physicists, their later reminiscences and the extensive secondary literature on the "quantum revolution", this volume places these papers in the context of the discussions out of which modern quantum mechanics emerged. It argues that the genesis of modern quantum mechanics can be seen as the construction of an arch on a scaffold provided by the old quantum theory, discarded once the arch could support itself.

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Page Count

817

Publisher

Oxford University Press

Published Date

ISBN 10

0198883900

ISBN 13

9780198883906

Pacific Pidgins and Creoles

Origins, Growth and Development

By: Darrell T. Tryon,Jean-Michel Charpentier

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Pacific Pidgins and Creoles

Origins, Growth and Development

By: Darrell T. Tryon,Jean-Michel Charpentier

Pacific Pidgins and Creoles discusses the complex and fascinating history of English-based pidgins in the Pacific, especially the three closely related Melanesian pidgins: Tok Pisin, Pijin, and Bislama. The book details the central role of the port of Sydney and the linguistic synergies between Australia and the Pacific islands in the late 18th and early 19th centuries, the role of Pacific islander plantation labor overseas, and the differentiation which has taken place in the pidgins spoken in the Melanesian island states in the 20th century. It also looks at the future of Pacific pidgins at a time of increasing vernacular language endangerment.

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581

Publisher

Walter de Gruyter

Published Date

ISBN 10

311089968X

ISBN 13

9783110899689

The Essays

A Selection

By: Michel de Montaigne

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The Essays

A Selection

By: Michel de Montaigne

A survey of one of the giants of Renaissance thought, The Essays: A Selection collects some of Michel de Montaigne's most startling and original works, translated from the French and edited with an introduction and notes by M.A. Screech in Penguin Classics. To overcome a crisis of melancholy after the death of his father, Montaigne withdrew to his country estates and began to write, and in the highly original essays that resulted he discussed themes such as fathers and children, conscience and cowardice, coaches and cannibals, and, above all, himself. On Some Lines of Virgil opens out into a frank discussion of sexuality and makes a revolutionary case for the equality of the sexes. In On Experience he superbly propounds his thoughts on the right way to live, while other essays touch on issues of an age struggling with religious and intellectual strife, with France torn apart by civil war. These diverse subjects are united by Montaigne's distinctive voice - that of a tolerant man, sceptical, humane, often humorous and utterly honest in his pursuit of the truth. M.A. Screech's distinguished translation fully retains the light-hearted and inquiring nature of the essays. In his introduction, he examines Montaigne's life and times, and the remarkable self-portrait that emerges from his works. Michel de Montaigne (1533-1586) studied law and spent a number of years working as a counsellor before devoting his life to reading, writing and reflection. If you enjoyed The Essays: A Selection, you might like Francis Bacon's The Essays, also available in Penguin Classics.

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Page Count

484

Publisher

Penguin

Published Date

ISBN 10

0140446028

ISBN 13

9780140446029

From Harlem to Paris

Black American Writers in France, 1840-1980

By: Michel Fabre

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From Harlem to Paris

Black American Writers in France, 1840-1980

By: Michel Fabre

This academic study uses accounts from more than 60 African American writers--Countee Cullen, James Baldwin, Chester Himes et al.--to explain why they were more readily accepted socially in Paris than in America. Fabre (The Unfinished Quest of Richard Wright) shows that French/black American affinity started in pre-Civil War New Orleans (and not, as the title suggests, in Harlem), when illegitimate mulattos with inheritances from French slave-owners sent their children to Paris to be educated. The book concludes that acceptance and appreciation of black Americans were based largely of French distaste both for white Americans, whom the French found egotistical, and for black Africans, with whom the French had a bitter "mutual colonial history.

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388

Publisher

University of Illinois Press

Published Date

ISBN 10

0252063643

ISBN 13

9780252063640

Opioids

By: George F. Koob,Michael A. Arends,Mandy L McCracken,Michel Le Moal

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Opioids

By: George F. Koob,Michael A. Arends,Mandy L McCracken,Michel Le Moal

A current survey and synthesis of the most important findings in our understanding of the neurobiological mechanisms of addiction is detailed in our Neurobiology of Addiction series, each volume addressing a specific area of addiction. Opioids, Volume 4 in the series, explores the molecular, cellular and systems in the brain responsible for opioid addiction using the heuristic three-stage cycle framework of binge/intoxication, withdrawal/negative affect, and preoccupation/anticipation. - Highlights recent advances in opioid addiction - Includes Neurocircuitry, Cellular and Molecular neurobiological mechanisms of opioid addiction - Defines opioid abuse and addiction potential, including biological tolerance

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Page Count

426

Publisher

Academic Press

Published Date

ISBN 10

0128169893

ISBN 13

9780128169896

Formal Languages, Automata and Numeration Systems 2

Applications to Recognizability and Decidability

By: Michel Rigo

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Formal Languages, Automata and Numeration Systems 2

Applications to Recognizability and Decidability

By: Michel Rigo

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268

Publisher

John Wiley & Sons

Published Date

ISBN 10

1848217889

ISBN 13

9781848217881

Formal Languages, Automata and Numeration Systems 1

Introduction to Combinatorics on Words

By: Michel Rigo

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Formal Languages, Automata and Numeration Systems 1

Introduction to Combinatorics on Words

By: Michel Rigo

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330

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119008220

ISBN 13

9781119008224

Combinatorics, Automata, and Number Theory

By: Michel Rigo

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Combinatorics, Automata, and Number Theory

By: Michel Rigo

This collaborative volume presents recent trends arising from the fruitful interaction between combinatorics on words, automata and number theory.

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Page Count

636

Published Date

ISBN 10

1139635271

ISBN 13

9781139635271

Book's by Michel Rigo

Formal Languages, Automata and Numeration Systems 1

Formal Languages, Automata and Numeration Systems 1

Advanced Graph Theory and Combinatorics

Advanced Graph Theory and Combinatorics

Formal Languages, Automata and Numeration Systems 2

Formal Languages, Automata and Numeration Systems 2

Constructing Quantum Mechanics Volume 2

Constructing Quantum Mechanics Volume 2

Pacific Pidgins and Creoles

Pacific Pidgins and Creoles

The Essays

The Essays

From Harlem to Paris

From Harlem to Paris

Opioids

Opioids

Formal Languages, Automata and Numeration Systems 2

Formal Languages, Automata and Numeration Systems 2

Formal Languages, Automata and Numeration Systems 1

Formal Languages, Automata and Numeration Systems 1

Combinatorics, Automata, and Number Theory

Combinatorics, Automata, and Number Theory

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