Noise Sensitivity of Boolean Functions and Percolation

Noise Sensitivity of Boolean Functions and Percolation PDF Author: Christophe Garban
Publisher: Cambridge University Press
ISBN: 1107076439
Category : Computers
Languages : en
Pages : 223

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Book Description
This is the first book to cover the theory of noise sensitivity of Boolean functions with particular emphasis on critical percolation.

Noise Sensitivity of Boolean Functions and Percolation

Noise Sensitivity of Boolean Functions and Percolation PDF Author: Christophe Garban
Publisher: Cambridge University Press
ISBN: 1107076439
Category : Computers
Languages : en
Pages : 223

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Book Description
This is the first book to cover the theory of noise sensitivity of Boolean functions with particular emphasis on critical percolation.

Analysis of Boolean Functions

Analysis of Boolean Functions PDF Author: Ryan O'Donnell
Publisher: Cambridge University Press
ISBN: 1107038324
Category : Computers
Languages : en
Pages : 445

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Book Description
This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics.

Selected Works of Oded Schramm

Selected Works of Oded Schramm PDF Author: Itai Benjamini
Publisher: Springer Science & Business Media
ISBN: 1441996753
Category : Mathematics
Languages : en
Pages : 1199

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Book Description
This volume is dedicated to the memory of the late Oded Schramm (1961-2008), distinguished mathematician. Throughout his career, Schramm made profound and beautiful contributions to mathematics that will have a lasting influence. In these two volumes, Editors Itai Benjamini and Olle Häggström have collected some of his papers, supplemented with three survey papers by Steffen Rohde, Häggström and Cristophe Garban that further elucidate his work. The papers within are a representative collection that shows the breadth, depth, enthusiasm and clarity of his work, with sections on Geometry, Noise Sensitivity, Random Walks and Graph Limits, Percolation, and finally Schramm-Loewner Evolution. An introduction by the Editors and a comprehensive bibliography of Schramm's publications complete the volume. The book will be of especial interest to researchers in probability and geometry, and in the history of these subjects.

In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius

In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius PDF Author: Maria Eulália Vares
Publisher: Springer Nature
ISBN: 3030607542
Category : Mathematics
Languages : en
Pages : 819

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Book Description
This is a volume in memory of Vladas Sidoravicius who passed away in 2019. Vladas has edited two volumes appeared in this series ("In and Out of Equilibrium") and is now honored by friends and colleagues with research papers reflecting Vladas' interests and contributions to probability theory.

LATIN 2002: Theoretical Informatics

LATIN 2002: Theoretical Informatics PDF Author: Sergio Rajsbaum
Publisher: Springer Science & Business Media
ISBN: 3540434003
Category : Computational complexity
Languages : en
Pages : 643

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Book Description
This book constitutes the refereed proceedings of the 5th International Symposium, Latin American Theoretical Informatics, LATIN 2002, held in Cancun, Mexico, in April 2002. The 44 revised full papers presented together with a tutorial and 7 abstracts of invited contributions were carefully reviewed and selected from a total of 104 submissions. The papers presented are devoted to a broad range of topics from theoretical computer science and mathematical foundations, with a certain focus on algorithmics and computations related to discrete structures.

Probability and Statistical Physics in Two and More Dimensions

Probability and Statistical Physics in Two and More Dimensions PDF Author: Clay Mathematics Institute. Summer School
Publisher: American Mathematical Soc.
ISBN: 0821868632
Category : Mathematics
Languages : en
Pages : 481

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Book Description
This volume is a collection of lecture notes for six of the ten courses given in Buzios, Brazil by prominent probabilists at the 2010 Clay Mathematics Institute Summer School, ``Probability and Statistical Physics in Two and More Dimensions'' and at the XIV Brazilian School of Probability. In the past ten to fifteen years, various areas of probability theory related to statistical physics, disordered systems and combinatorics have undergone intensive development. A number of these developments deal with two-dimensional random structures at their critical points, and provide new tools and ways of coping with at least some of the limitations of Conformal Field Theory that had been so successfully developed in the theoretical physics community to understand phase transitions of two-dimensional systems. Included in this selection are detailed accounts of all three foundational courses presented at the Clay school--Schramm-Loewner Evolution and other Conformally Invariant Objects, Noise Sensitivity and Percolation, Scaling Limits of Random Trees and Planar Maps--together with contributions on Fractal and Multifractal properties of SLE and Conformal Invariance of Lattice Models. Finally, the volume concludes with extended articles based on the courses on Random Polymers and Self-Avoiding Walks given at the Brazilian School of Probability during the final week of the school. Together, these notes provide a panoramic, state-of-the-art view of probability theory areas related to statistical physics, disordered systems and combinatorics. Like the lectures themselves, they are oriented towards advanced students and postdocs, but experts should also find much of interest.

Fractal Geometry and Stochastics IV

Fractal Geometry and Stochastics IV PDF Author: Christoph Bandt
Publisher: Springer Science & Business Media
ISBN: 3034600305
Category : Mathematics
Languages : en
Pages : 292

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Book Description
Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developments in mathematical modeling of complicated structures. This process has been forced by problems in these areas related to applications in statistical physics, biomathematics and finance. This book is a collection of survey articles covering many of the most recent developments, like Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. The authors were the keynote speakers at the conference "Fractal Geometry and Stochastics IV" at Greifswald in September 2008.

Microsurveys in Discrete Probability

Microsurveys in Discrete Probability PDF Author: David J. Aldous
Publisher: American Mathematical Soc.
ISBN: 0821808273
Category : Mathematics
Languages : en
Pages : 233

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Book Description
Comprising the proceedings of a June 1997 DIMACS workshop held in Princeton, New Jersey, the 11 articles in this volume survey emerging topics in discrete probability including Markov chains, random trees, distributional estimates, and Poisson processes, and reconstructing random walk from scenery. Lacks an index. Annotation copyrighted by Book News, Inc., Portland, OR.

Automata, Languages and Programming

Automata, Languages and Programming PDF Author: Lars Arge
Publisher: Springer
ISBN: 3540734201
Category : Computers
Languages : en
Pages : 969

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Book Description
This volume features the refereed proceedings from the 34th International Colloquium on Automata, Languages and Programming, held in Wroclaw, Poland in July 2007. Seventy-six full papers are presented, together with four invited lectures. The papers are grouped into three major tracks covering algorithms, automata, complexity, and games; logic, semantics, and theory of programming; and security and cryptography foundations.

Theory and Applications of Models of Computation

Theory and Applications of Models of Computation PDF Author: Jin-Yi Cai
Publisher: Springer
ISBN: 354034022X
Category : Computers
Languages : en
Pages : 809

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Book Description
This book constitutes the refereed proceedings of the Third International Conference on Theory and Applications of Models of Computation, TAMC 2006, held in Beijing, China, in May 2006. The 75 revised full papers presented together with 7 plenary talks were carefully reviewed and selected from 319 submissions. All major areas in computer science, mathematics (especially logic) and the physical sciences particularly with regard to computation and computability theory are addressed.