Serguei Popov's Books

Two-Dimensional Random Walk

From Path Counting to Random Interlacements

By: Serguei Popov

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Two-Dimensional Random Walk

From Path Counting to Random Interlacements

By: Serguei Popov

The main subject of this introductory book is simple random walk on the integer lattice, with special attention to the two-dimensional case. This fascinating mathematical object is the point of departure for an intuitive and richly illustrated tour of related topics at the active edge of research. It starts with three different proofs of the recurrence of the two-dimensional walk, via direct combinatorial arguments, electrical networks, and Lyapunov functions. After reviewing some relevant potential-theoretic tools, the reader is guided toward the relatively new topic of random interlacements - which can be viewed as a 'canonical soup' of nearest-neighbour loops through infinity - again with emphasis on two dimensions. On the way, readers will visit conditioned simple random walks - which are the 'noodles' in the soup - and also discover how Poisson processes of infinite objects are constructed and review the recently introduced method of soft local times. Each chapter ends with many exercises, making it suitable for courses and independent study.

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Page Count

225

Publisher

Cambridge University Press

Published Date

ISBN 10

1108591124

ISBN 13

9781108591126

Non-homogeneous Random Walks

Lyapunov Function Methods for Near-Critical Stochastic Systems

By: Mikhail Menshikov,Serguei Popov,Andrew Wade

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Non-homogeneous Random Walks

Lyapunov Function Methods for Near-Critical Stochastic Systems

By: Mikhail Menshikov,Serguei Popov,Andrew Wade

Stochastic systems provide powerful abstract models for a variety of important real-life applications: for example, power supply, traffic flow, data transmission. They (and the real systems they model) are often subject to phase transitions, behaving in one way when a parameter is below a certain critical value, then switching behaviour as soon as that critical value is reached. In a real system, we do not necessarily have control over all the parameter values, so it is important to know how to find critical points and to understand system behaviour near these points. This book is a modern presentation of the 'semimartingale' or 'Lyapunov function' method applied to near-critical stochastic systems, exemplified by non-homogeneous random walks. Applications treat near-critical stochastic systems and range across modern probability theory from stochastic billiards models to interacting particle systems. Spatially non-homogeneous random walks are explored in depth, as they provide prototypical near-critical systems.

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Page Count

385

Publisher

Cambridge University Press

Published Date

ISBN 10

1316867366

ISBN 13

9781316867365

The Patriotism of Despair

Nation, War, and Loss in Russia

By: Serguei Alex. Oushakine

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The Patriotism of Despair

Nation, War, and Loss in Russia

By: Serguei Alex. Oushakine

The sudden dissolution of the Soviet Union altered the routines, norms, celebrations, and shared understandings that had shaped the lives of Russians for generations. It also meant an end to the state-sponsored, nonmonetary support that most residents had lived with all their lives. How did Russians make sense of these historic transformations? Serguei Alex. Oushakine offers a compelling look at postsocialist life in Russia. In Barnaul, a major industrial city in southwestern Siberia that has lost 25 percent of its population since 1991, many Russians are finding that what binds them together is loss and despair. The Patriotism of Despair examines the aftermath of the collapse of the Soviet Union, graphically described in spray paint by a graffiti artist in Barnaul: "We have no Motherland." Once socialism disappeared as a way of understanding the world, what replaced it in people's minds? Once socialism stopped orienting politics and economics, how did capitalism insinuate itself into routine practices? Oushakine offers a compelling look at postsocialist life in noncosmopolitan Russia. He introduces readers to the "neocoms": people who mourn the loss of the Soviet economy and the remonetization of transactions that had not involved the exchange of cash during the Soviet era. Moving from economics into military conflict and personal loss, Oushakine also describes the ways in which veterans of the Chechen war and mothers of soldiers who died there have connected their immediate experiences with the country's historical disruptions. The country, the nation, and traumatized individuals, Oushakine finds, are united by their vocabulary of shared pain.

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Page Count

313

Publisher

Cornell University Press

Published Date

ISBN 10

0801457866

ISBN 13

9780801457869

Physics And Applications Of Complex Plasmas

By: Serguei V Vladimirov,Alex A Samarian,Kostyantyn Ostrikov

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Physics And Applications Of Complex Plasmas

By: Serguei V Vladimirov,Alex A Samarian,Kostyantyn Ostrikov

At the frontiers of physics and chemistry lies the new and rapidly emerging area of complex plasma systems. The study of complex plasma systems that contain colloid nano/microscopic particles is now actively pursued in a diverse range of scientific fields — from plasma and gas discharge physics, to astrophysics, materials science and engineering.This book highlights, in a systematic, insightful, and perceptive way, the fundamental physics and industrial applications of complex plasmas, with emphasis on the conditions relevant to laboratory gas discharges and industrial plasma reactors. It provides a specialized and comprehensive description of the most recent theoretical, experimental, and modeling efforts to understand the unique properties of complex plasma systems involving the stability, dynamics, and self-organization of colloid particles and their associations. Special attention is focused on the physical understanding of up-to-date developments in major technological applications of micron and nano-sized particles.Each chapter is presented in a concise and comprehensive manner, with a categorized overview of the underlying physics followed by an in-depth description. The book will appeal to scientists and researchers as well as undergraduate and graduate students wishing to explore the flourishing interdisciplinary field of complex plasma systems./a

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Page Count

456

Publisher

World Scientific

Published Date

ISBN 10

1783260238

ISBN 13

9781783260232

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Volume I

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Volume I

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors’ work, and has no significant overlap with other books on the theory of elliptic boundary value problems.

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Page Count

448

Publisher

Birkhäuser

Published Date

ISBN 10

3034884346

ISBN 13

9783034884341

Russian Organized Corruption Networks and their International Trajectories

By: Serguei Cheloukhine,M.R. Haberfeld

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Russian Organized Corruption Networks and their International Trajectories

By: Serguei Cheloukhine,M.R. Haberfeld

Countries undergoing major social and legal transitions typically experience a light, but relatively insignificant, increase in crime. However, in the past decade, many transitional countries in Eastern Europe, and Russia in particular, have experienced a surge in criminal activities that came about through the collaboration of diverse players—such as criminals, state officials, businesspersons, and law enforcement—into organized networks aimed to obtain financial and economic gains.

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Page Count

196

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441909907

ISBN 13

9781441909909

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Volume II

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

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Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Volume II

By: Vladimir Maz'ya,Serguei Nazarov,Boris Plamenevskij

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Page Count

336

Publisher

Birkhäuser

Published Date

ISBN 10

303488432X

ISBN 13

9783034884327

Once Upon a Time in Russia and the United States

By: Serguei Blinov

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Once Upon a Time in Russia and the United States

By: Serguei Blinov

Author Serguei Blinov grew up in the former Union of Soviet Socialist Republics as the son of an engineer and a high school history teacher. Early on in life, he set his sights on becoming a medical doctor. He also met the love of his life, Lioudmila Vertiasheva. She graduated before him as a pediatric medical doctor before getting a job at a maternity hospital. Soon thereafter, Blinov also found himself working in medicine. In this, his memoir, Blinov recalls the hard work it took for him to succeed, the good times, and the bad--as well as what led him and his family to the United States of America. His honest assessment of life in both the Soviet Union and the United States showcases cultural differences and the positives and negatives of communism and capitalism. If you're interested in learning more about the former Soviet Union and what life there was really like, this personal narrative offers firsthand accounts of villages, agriculture, the educational system, and everyday life. What's more, Blinov relives his experiences from his first memory to the present, recounting in great detail each event that shaped him into the man he is today.

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Page Count

839

Publisher

iUniverse

Published Date

ISBN 10

1491714956

ISBN 13

9781491714959

Back-in-Time and Faster-than-Light Travel in General Relativity

By: Serguei Krasnikov

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Back-in-Time and Faster-than-Light Travel in General Relativity

By: Serguei Krasnikov

For the past 20 years causality violations and superluminal motion have been the object of intensive study as physical and geometrical phenomena. This book compiles the results of its author and also reviews other work in the field. In particular, the following popular questions are addressed: Is causality protected by quantum divergence at the relevant Cauchy horizon? How much "exotic matter" would it take to create a time machine or a warp drive? What is the difference between a "discovered" time machine and a created one? Why does a time traveler fail to kill their grandfather? How should we define the speed of gravity and what is its magnitude?

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Page Count

255

Publisher

Springer

Published Date

ISBN 10

3319727540

ISBN 13

9783319727547

Book's by Serguei Popov

Two-Dimensional Random Walk

Two-Dimensional Random Walk

Non-homogeneous Random Walks

Non-homogeneous Random Walks

The Patriotism of Despair

The Patriotism of Despair

Physics And Applications Of Complex Plasmas

Physics And Applications Of Complex Plasmas

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Russian Organized Corruption Networks and their International Trajectories

Russian Organized Corruption Networks and their International Trajectories

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains Volume II

Once Upon a Time in Russia and the United States

Once Upon a Time in Russia and the United States

Back-in-Time and Faster-than-Light Travel in General Relativity

Back-in-Time and Faster-than-Light Travel in General Relativity

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