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Long-Memory Processes
Long-memory processes are known to play an important part in many areas of science and technology, including physics, geophysics, hydrology, telecommunications, economics, finance, climatology, and network engineering. In the last 20 years enormous progress has been made in understanding the probabilistic foundations and statistical principles of such processes. This book provides a timely and comprehensive review, including a thorough discussion of mathematical and probabilistic foundations and statistical methods, emphasizing their practical motivation and mathematical justification. Proofs of the main theorems are provided and data examples illustrate practical aspects. This book will be a valuable resource for researchers and graduate students in statistics, mathematics, econometrics and other quantitative areas, as well as for practitioners and applied researchers who need to analyze data in which long memory, power laws, self-similar scaling or fractal properties are relevant.
An Introduction to Random Interlacements
This book gives a self-contained introduction to the theory of random interlacements. The intended reader of the book is a graduate student with a background in probability theory who wants to learn about the fundamental results and methods of this rapidly emerging field of research. The model was introduced by Sznitman in 2007 in order to describe the local picture left by the trace of a random walk on a large discrete torus when it runs up to times proportional to the volume of the torus. Random interlacements is a new percolation model on the d-dimensional lattice. The main results covered by the book include the full proof of the local convergence of random walk trace on the torus to ran...
Two-Dimensional Random Walk
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.
Mathematical Reviews
None
Antarctic Peninsula Region of the Southern Ocean
The book is based on results from the Russian expedition in the region of the Antarctic Peninsula and Powell Basin in the northern part of the Weddell Sea, as well as on the review of earlier research in the region. The main goal of the research was to collect the newest data and study the physical properties and ecology of this key region of the Southern Ocean. Data analysis is supplemented with numerical modeling of the atmosphere-ocean interaction and circulation in the adjacent region, including research on rogue waves. The focus of the study was the Antarctic Circumpolar Current, currents and water properties in the Bransfield Strait and Antarctic Sound, properties of seawater, currents, ecosystem and biological communities in the Powell Basin of the northwestern Weddell Sea, and their variations. An attempt is made to reveal the role of various components of the Antarctic environment in the formation of biological productivity and maintenance of the Antarctic krill population. This is especially important as in the last decades the Antarctic environment has experienced significant changes related to the global climatic trends.
Current Catalog
First multi-year cumulation covers six years: 1965-70.
Making Ethnicity in Southern Bessarabia
In Making Ethnicity, Simon Schlegel offers a history of ethnicity and its political uses in southern Bessarabia, a region that has long been at the crossroads of powerful forces: in the 19th century between the Russian and Ottoman Empires, since World War I between the Soviet Union and Romania, and since the collapse of the Soviet Union between Russia and the European Union’s respective zones of influence. Drawing on biographical interviews and archival documents, Schlegel argues that ethnic categories gained relevance in the 19th century, as state bureaucrats took over local administration from the church. After mutating into a dangerous instrument of social engineering in the mid-20th century, ethnicity today remains a potent force for securing votes and allocating resources.
Behind the Front Lines of the Civil War
Countering the powerful myth that the civil war in Russia was largely between the "Whites" and the "Reds," Vladimir Brovkin views the struggle as a multifaceted social and political process. Brovkin focuses not so much on armies and governments as on the interaction of state institutions, political parties, and social movements on both Red and White territories. In the process, he exposes the weaknesses of the various warring factions in a Russia plagued by strikes, mutinies, desertion, and rebellions. The Whites benefited from popular resistance to the Reds, and the Reds, from resistance to the Whites. In Brovkin's view, neither regime enjoyed popular support. Pacification campaigns, mass s...
