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Non-homogeneous Random Walks
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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Winterset Hollow
Everyone has wanted their favorite book to be real, if only for a moment. Everyone has wished to meet their favorite characters, if only for a day. But be careful in that wish, for even a history laid in ink can be repaid in flesh and blood, and reality is far deadlier than fiction . . . especially on Addington Isle. Winterset Hollow follows a group of friends to the place that inspired their favorite book-a timeless tale about a tribe of animals preparing for their yearly end-of-summer festival. But after a series of shocking discoveries, they find that much of what the world believes to be fiction is actually fact, and that the truth behind their beloved story is darker and more dangerous ...
The Marvelous Clouds
Peters defines media expansively as elements that compose the human world. Drawing from ideas implicit in media philosophy, Peters argues that media are more than carriers of messages: they are the very infrastructures combining nature and culture that allow human life to thrive. Through an encyclopedic array of examples from the oceans to the skies,The Marvelous Clouds reveals the long prehistory of so-called new media. Digital media, Peters argues, are an extension of early practices tied to the establishment of civilization such as mastering fire, building calendars, reading the stars, creating language, and establishing religions. New media do not take us into uncharted waters, but rather confront us with the deepest and oldest questions of society and ecology: how to manage the relations people have with themselves, others, and the natural world.
