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This book has two main topics: large deviations and equilibrium statistical mechanics. I hope to convince the reader that these topics have many points of contact and that in being treated together, they enrich each other. Entropy, in its various guises, is their common core. The large deviation theory which is developed in this book focuses upon convergence properties of certain stochastic systems. An elementary example is the weak law of large numbers. For each positive e, P{ISn/nl 2: e} con verges to zero as n --+ 00, where Sn is the nth partial sum of indepen dent identically distributed random variables with zero mean. Large deviation theory shows that if the random variables are expone...
Provides a comprehensive history of the swordfish, from prehistoric fossils to its present-day endangerment, and describes its adaptability and its relationship with humans.
From the reviews: "... Besides the fact that the author's treatment of large deviations is a nice contribution to the literature on the subject, his book has the virue that it provides a beautifully unified and mathematically appealing account of certain aspects of statistical mechanics. ... Furthermore, he does not make the mistake of assuming that his mathematical audience will be familiar with the physics and has done an admireable job of explaining the necessary physical background. Finally, it is clear that the author's book is the product of many painstaking hours of work; and the reviewer is confident that its readers will benefit from his efforts." D. Stroock in Mathematical Reviews 1985 "... Each chapter of the book is followed by a notes section and by a problems section. There are over 100 problems, many of which have hints. The book may be recommended as a text, it provides a completly self-contained reading ..." S. Pogosian in Zentralblatt für Mathematik 1986
Urban history starts in ancient Mesopotamia. In this volume Marc Van De Mieroop examines the evolution of the very earliest cities which, for millennia, inspired the rest of the ancient world. The city determined every aspect of Mesopotamian civilization, and the political and social structure, economy, literature, and arts of Mesopotamian culture cannot be understood without acknowledging their urban background. - ;Urban history starts in ancient Mesopotamia: the earliest known cities developed there as the result of long indigenous processes, and, for millennia, the city determined every aspect of Mesopotamian civilization. Marc Van De Mieroop examines urban life in the historical period, investigating urban topography, the role of cities as centres of culture, their political and social structures, economy, literature, and the arts. He draws on material from the entirety of Mesopotamian history, from c. 3000 to 300 BC, and from both Babylonia and Assyria, arguing that the Mesopotamian city can be regarded as a prototype that inspired the rest of the ancient world and shared characteristics with the European cities of antiquity. -
One of today’s leading astronomers takes readers inside the decades-long search for the first galaxies and the origin of starlight Astronomers are like time travelers, scanning the night sky for the outermost galaxies that first came into being when our universe was a mere fraction of its present age. When Galaxies Were Born is Richard Ellis’s firsthand account of how a pioneering generation of scientists harnessed the world’s largest telescopes to decipher the history of the universe and witness cosmic dawn, the time when starlight first bathed the cosmos and galaxies emerged from darkness. In a remarkable career spanning more than forty years, Ellis has made some of the most spectacu...
From America's foremost painter and chronicler of undersea life comes a natural history of the largest fish on Earth. Blending art and science with historical, cultural, and personal stories, Ellis incorporates anecdotes, archival images, and photos related to legendary catches.
Few creatures have captured the imaginations of so many for so long as have monsters of the deep. Their history has been surprisingly consistent, the author notes. Most began as myths and then acquired a sense of reality when the existence of creatures resembling those chronicled in legend was documented. Ellis (Men and Whales) gives a superb account of marine monsters and their attendant myths, sightings, scientific discovery and biology. He describes only the best known and the best documented. He traces the mermaid to the manatee and dugong, Leviathan to the sperm whale, kraken to the giant squid and polyp to the octopus (sharks, however, remain sharks). He examines these monsters in art,...
Shares the latest findings on the great white shark's size, ancestry, relatives, breeding, and feeding habits.
Applies the well-developed tools of the theory of weak convergenceof probability measures to large deviation analysis--a consistentnew approach The theory of large deviations, one of the most dynamic topics inprobability today, studies rare events in stochastic systems. Thenonlinear nature of the theory contributes both to its richness anddifficulty. This innovative text demonstrates how to employ thewell-established linear techniques of weak convergence theory toprove large deviation results. Beginning with a step-by-stepdevelopment of the approach, the book skillfully guides readersthrough models of increasing complexity covering a wide variety ofrandom variable-level and process-level problems. Representationformulas for large deviation-type expectations are a key tool andare developed systematically for discrete-time problems. Accessible to anyone who has a knowledge of measure theory andmeasure-theoretic probability, A Weak Convergence Approach to theTheory of Large Deviations is important reading for both studentsand researchers.
In The Empty Ocean, acclaimed author and artist Richard Ellis tells the story of our continued plunder of life in the sea and weighs the chances for its recovery. Through fascinating portraits of a wide array of creatures, he introduces us to the many forms of sea life that humans have fished, hunted, and collected over the centuries, from charismatic whales and dolphins to the lowly menhaden, from sea turtles to cod, tuna, and coral. Rich in history, anecdote, and surprising fact, Richard Ellis’s descriptions bring to life the natural history of the various species, the threats they face, and the losses they have suffered. Killing has occurred on a truly stunning scale, with extinction all too often the result, leaving a once-teeming ocean greatly depleted. But the author also finds instances of hope and resilience, of species that have begun to make remarkable comebacks when given the opportunity. Written with passion and grace, and illustrated with Richard Ellis’s own drawings, The Empty Ocean brings to a wide audience a compelling view of the damage we have caused to life in the sea and what we can do about it. "