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Stochastic processes --- Random walks (Mathematics) --- Promenades aléatoires (Mathématiques) --- 519.21 --- Additive process (Probability theory) --- Random walk process (Mathematics) --- Walks, Random (Mathematics) --- Probability theory. Stochastic processes --- 519.21 Probability theory. Stochastic processes

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A central study in Probability Theory is the behavior of fluctuation phenomena of partial sums of different types of random variable. One of the most useful concepts for this purpose is that of the random walk which has applications in many areas, particularly in statistical physics and statistical chemistry. Originally published in 1991, Intersections of Random Walks focuses on and explores a number of problems dealing primarily with the nonintersection of random walks and the self-avoiding walk. Many of these problems arise in studying statistical physics and other critical phenomena. Topics include: discrete harmonic measure, including an introduction to diffusion limited aggregation (DLA); the probability that independent random walks do not intersect; and properties of walks without self-intersections. The present softcover reprint includes corrections and addenda from the 1996 printing, and  makes this classic monograph available to a wider audience. With a self-contained introduction to the properties of simple random walks, and an emphasis on rigorous results, the book will be useful to researchers in probability and statistical physics and to graduate students interested in basic properties of random walks.

Harmonic measures. --- Mathematics. --- Random walks (Mathematics). --- Random walks (Mathematics) --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- Additive process (Probability theory) --- Random walk process (Mathematics) --- Walks, Random (Mathematics) --- Probabilities. --- Statistical physics. --- Dynamical systems. --- Statistics. --- Probability Theory and Stochastic Processes. --- Statistical Physics, Dynamical Systems and Complexity. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Stochastic processes --- Distribution (Probability theory. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Physics --- Mathematical statistics --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Statistics . --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Risk

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A central study in Probability Theory is the behavior of fluctuation phenomena of partial sums of different types of random variable. One of the most useful concepts for this purpose is that of the random walk which has applications in many areas, particularly in statistical physics and statistical chemistry. Originally published in 1991, Intersections of Random Walks focuses on and explores a number of problems dealing primarily with the nonintersection of random walks and the self-avoiding walk. Many of these problems arise in studying statistical physics and other critical phenomena. Topics include: discrete harmonic measure, including an introduction to diffusion limited aggregation (DLA); the probability that independent random walks do not intersect; and properties of walks without self-intersections. The present softcover reprint includes corrections and addenda from the 1996 printing, and  makes this classic monograph available to a wider audience. With a self-contained introduction to the properties of simple random walks, and an emphasis on rigorous results, the book will be useful to researchers in probability and statistical physics and to graduate students interested in basic properties of random walks.

Statistical science --- Mathematics --- Operational research. Game theory --- Probability theory --- Statistical physics --- waarschijnlijkheidstheorie --- theoretische fysica --- stochastische analyse --- wiskunde --- kansrekening --- statistisch onderzoek

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