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Random Dynamical Systems

Random Dynamical Systems

Rabi Bhattacharya; Mukul Majumdar

Cambridge University Press
2007
sidottu
This treatment provides an exposition of discrete time dynamic processes evolving over an infinite horizon. Chapter 1 reviews some mathematical results from the theory of deterministic dynamical systems, with particular emphasis on applications to economics. The theory of irreducible Markov processes, especially Markov chains, is surveyed in Chapter 2. Equilibrium and long run stability of a dynamical system in which the law of motion is subject to random perturbations is the central theme of Chapters 3-5. A unified account of relatively recent results, exploiting splitting and contractions, that have found applications in many contexts is presented in detail. Chapter 6 explains how a random dynamical system may emerge from a class of dynamic programming problems. With examples and exercises, readers are guided from basic theory to the frontier of applied mathematical research.
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Random Fields and Spin Glasses

Random Fields and Spin Glasses

Cirano De Dominicis; Irene Giardina

Cambridge University Press
2006
sidottu
Disordered magnetic systems enjoy non-trivial properties which are different and richer than those observed in their pure, non-disordered counterparts. These properties dramatically affect the thermodynamic behaviour and require specific theoretical treatment. This book deals with the theory of magnetic systems in the presence of frozen disorder, in particular paradigmatic and well-known spin models such as the Random Field Ising Model and the Ising Spin Glass. This is a unified presentation using a field theory language which covers mean field theory, dynamics and perturbation expansion within the same theoretical framework. Particular emphasis is given to the connections between different approaches such as statics vs. dynamics, microscopic vs. phenomenological models. The book introduces some useful and little-known techniques in statistical mechanics and field theory. This book will be of great interest to graduate students and researchers in statistical physics and basic field theory.
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Random Networks for Communication

Random Networks for Communication

Massimo Franceschetti; Ronald Meester

Cambridge University Press
2008
sidottu
When is a random network (almost) connected? How much information can it carry? How can you find a particular destination within the network? And how do you approach these questions - and others - when the network is random? The analysis of communication networks requires a fascinating synthesis of random graph theory, stochastic geometry and percolation theory to provide models for both structure and information flow. This book is the first comprehensive introduction for graduate students and scientists to techniques and problems in the field of spatial random networks. The selection of material is driven by applications arising in engineering, and the treatment is both readable and mathematically rigorous. Though mainly concerned with information-flow-related questions motivated by wireless data networks, the models developed are also of interest in a broader context, ranging from engineering to social networks, biology, and physics.
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Random Fragmentation and Coagulation Processes

Random Fragmentation and Coagulation Processes

Jean Bertoin

Cambridge University Press
2006
sidottu
Fragmentation and coagulation are two natural phenomena that can be observed in many sciences and at a great variety of scales - from, for example, DNA fragmentation to formation of planets by accretion. This book, by the author of the acclaimed Lévy Processes, is the first comprehensive theoretical account of mathematical models for situations where either phenomenon occurs randomly and repeatedly as time passes. This self-contained treatment develops the models in a way that makes recent developments in the field accessible. Each chapter ends with a comments section in which important aspects not discussed in the main part of the text (often because the discussion would have been too technical and/or lengthy) are addressed and precise references are given. Written for readers with a solid background in probability, its careful exposition allows graduate students, as well as working mathematicians, to approach the material with confidence.
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Random Acts Of Heroic Love

Random Acts Of Heroic Love

Danny Scheinmann

TRANSWORLD PUBLISHERS LTD
2008
pokkari
Leo Deakin wakes up in a hospital somewhere in South America, his girlfriend Eleni is dead and Leo doesn't know where he is or how Eleni died. Moritz Daniecki is a fugitive from a Siberian POW camp separated him from his village and his sweetheart. The author paints a dramatic portrait of two men sustaining their lives through the memory of love.
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Random Harvest

Random Harvest

James Hilton; Barbara Toy

Samuel French Ltd
2015
nidottu
It is set in the period preceding the Second World War. It is told in the first person of Harrison, and tells the story of Charles Rainier, a wealthy businessman, and politician, from his time in the army during World War I, his subsequent memory loss and partial recovery, his assuming control of the family business and his attempts to recover his memory as Hitler invades Poland.6 women, 6 men
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