Svante Janson's Books

Gaussian Hilbert Spaces

By: Svante Janson

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This book treats the very special and fundamental mathematical properties that hold for a family of Gaussian (or normal) random variables. Such random variables have many applications in probability theory, other parts of mathematics, statistics and theoretical physics. The emphasis throughout this book is on the mathematical structures common to all these applications. This will be an excellent resource for all researchers whose work involves random variables.

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Page Count

358

Publisher

Cambridge University Press

Published Date

ISBN 10

0521561280

ISBN 13

9780521561280

Random Graphs

By: Svante Janson,Tomasz Luczak,Andrzej Rucinski

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Random Graphs

By: Svante Janson,Tomasz Luczak,Andrzej Rucinski

A unified, modern treatment of the theory of random graphs-including recent results and techniques Since its inception in the 1960s, the theory of random graphs has evolved into a dynamic branch of discrete mathematics. Yet despite the lively activity and important applications, the last comprehensive volume on the subject is Bollobas's well-known 1985 book. Poised to stimulate research for years to come, this new work covers developments of the last decade, providing a much-needed, modern overview of this fast-growing area of combinatorics. Written by three highly respected members of the discrete mathematics community, the book incorporates many disparate results from across the literature, including results obtained by the authors and some completely new results. Current tools and techniques are also thoroughly emphasized. Clear, easily accessible presentations make Random Graphs an ideal introduction for newcomers to the field and an excellent reference for scientists interested in discrete mathematics and theoretical computer science. Special features include: * A focus on the fundamental theory as well as basic models of random graphs * A detailed description of the phase transition phenomenon * Easy-to-apply exponential inequalities for large deviation bounds * An extensive study of the problem of containing small subgraphs * Results by Bollobas and others on the chromatic number of random graphs * The result by Robinson and Wormald on the existence of Hamilton cycles in random regular graphs * A gentle introduction to the zero-one laws * Ample exercises, figures, and bibliographic references

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Page Count

350

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118030966

ISBN 13

9781118030967

Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics

By: Svante Janson

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Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics

By: Svante Janson

We define an orthogonal basis in the space of real-valued functions of a random graph, and prove a functional limit theorem for this basis. Limit theorems for other functions then follow by decomposition. The results include limit theorems for the two random graph models [italic]G[subscript italic]n, [subscript italic]p and [italic]G[subscript italic]n, [subscript italic]m as well as functional limit theorems for the evolution of a random graph and results on the maximum of a function during the evolution. Both normal and non-normal limits are obtained. As examples, applications are given to subgraph counts and to vertex degrees.

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American Mathematical Soc.

Published Date

ISBN 10

082182595X

ISBN 13

9780821825952

Higher Moments of Banach Space Valued Random Variables

By: Svante Janson,Sten Kaijser

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Higher Moments of Banach Space Valued Random Variables

By: Svante Janson,Sten Kaijser

The authors define the :th moment of a Banach space valued random variable as the expectation of its :th tensor power; thus the moment (if it exists) is an element of a tensor power of the original Banach space. The authors study both the projective and injective tensor products, and their relation. Moreover, in order to be general and flexible, we study three different types of expectations: Bochner integrals, Pettis integrals and Dunford integrals.

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Page Count

124

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470414651

ISBN 13

9781470414658

Politics and Society in Western Europe

By: Jan-Erik Lane,Svante O. Ersson

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Politics and Society in Western Europe

By: Jan-Erik Lane,Svante O. Ersson

Politics and Society in Western Europe is a comprehensive introduction for students of West European politics and of comparative politics. This new edition has been extensively revised and updated to meet with the new needs of undergraduate students as they come to terms with a changing social and political landscape in Europe. This textbook provides a full analysis of the political systems of 18 Western European countries, their political parties, elections, and party systems, as well as the structures of government at local, regional, national and European Union levels. Throughout the book, key theoretical ideas are accessibly introduced and examined against the very latest empirical data on civil society and the state.

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Page Count

404

Publisher

SAGE

Published Date

ISBN 10

0761958622

ISBN 13

9780761958628

Gaussian Hilbert Spaces

By: Svante Janson

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Gaussian Hilbert Spaces

By: Svante Janson

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N/A

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Solve jigsaw puzzle

Age

Page Count

358

Publisher

Cambridge University Press

Published Date

ISBN 10

0521561280

ISBN 13

9780521561280

Book's by Svante Janson

Gaussian Hilbert Spaces

Gaussian Hilbert Spaces

Random Graphs

Random Graphs

Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics

Orthogonal Decompositions and Functional Limit Theorems for Random Graph Statistics

Higher Moments of Banach Space Valued Random Variables

Higher Moments of Banach Space Valued Random Variables

Politics and Society in Western Europe

Politics and Society in Western Europe

Gaussian Hilbert Spaces

Gaussian Hilbert Spaces

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