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Random Walks, Brownian Motion, and Interacting Particle Systems

of origin for much of the research presented here. These articles of Frank's deal with properties of Brownian motion, fluctuation theory and;

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Brownian Motion

Brownian motion is the seemingly random movement of particles suspended in a fluid or the mathematical model used to describe such random;

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Random Walks Of Infinitely Many Particles

The author's previous book, Random Walk in Random and Non-Random Environments, was devoted to the investigation of the Brownian motion of a;

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Random Walks Random Fields and Disordered Systems

Brownian Motion from the perspective of disordered (spin-glass) systems, a detailed analysis of weakly self-avoiding random walks in four spatial;

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Non-Homogeneous Random Walks

, exemplified by non-homogeneous random walks. Applications treat near-critical stochastic systems and range across modern probability theory from;

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Brownian Motion, Obstacles and Random Media

of Brownian motion and random obstacles. It also includes an overview of known results and connections with other areas of random media, taking a;

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Introduction to Stochastic Processes in

Brownian motion. This method builds on Newtonian dynamics and provides an accessible explanation to anyone approaching the subject for the first;

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Brownian Motion

of Brownian paths. The relation of Brownian motion and random walk is explored from several viewpoints, including a development of the theory;

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Sojourns in Probability Theory and Statistical Physics - II

Mechanics II. Brownian Web and Percolation III. Interacting Particle Systems and Random Walks The articles in these volumes, which;

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Random Walk, Brownian Motion, and Martingales

. Random Walk, Brownian Motion, and Martingales is an ideal introduction to the rigorous study of stochastic processes. Students and instructors;

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Topics in the Constructive Theory of Countable Markov Chains

, or transient. These methods can also be extended to the study of questions of stability. Of particular concern are reflected random walks and;

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Topics in the Constructive Theory of Countable Markov Chains

, or transient. These methods can also be extended to the study of questions of stability. Of particular concern are reflected random walks and;

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Random Matrix Theory, Interacting Particle Systems, and Integrable Systems

Random matrix theory is at the intersection of linear algebra, probability theory and integrable systems, and has a wide range;

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Conformally Invariant Processes in the Plane

scaling limits has recently been described precisely by using one well-known tool, Brownian motion, and a new construction, the Schramm-Loewner;

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Stochastic Processes

Most introductory textbooks on stochastic processes which cover standard topics such as Poisson process, Brownian motion, renewal theory;

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Brownian Motion

) mathematicians, engineers and scientists alike. This book gives a gentle introduction to Brownian motion and stochastic processes, in general. Brownian;

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Probability on Graphs

systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model;

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Brownian Motion and Its Applications to Mathematical Analysis

Brownian motion and analysis. Brownian motion is a well-suited model for a wide range of real random phenomena, from chaotic oscillations;

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Probability on Graphs

systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model;

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Fractional Dynamics on Networks and Lattices

This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach;

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Brownian Models of Performance and Control

Direct and to the point, this book from one of the field's leaders covers Brownian motion and stochastic calculus at the graduate level;

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Telegraph Processes and Option Pricing

real line and alternates between two possible directions of motion at random time instants. That is why it can be considered as the finite;

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Scaling Limits of Interacting Particle Systems

was completed by Claudio Landim, his most brilliant student and collaborator. It presents the techniques used in the proof of the hydrodynamic behavior;

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An Introduction to Computer Simulation Methods

, The Chaotic Motion of Dynamical Systems, Random Processes, The Dynamics of Many Particle Systems, Normal Modes and Waves, Electrodynamics;

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Probability

, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results;

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Brownian Motion

Brownian motion - the incessant motion of small particles suspended in a fluid - is an important topic in statistical physics and physical;

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Parameter Estimation in Fractional Diffusion Models

This book is devoted to parameter estimation in diffusion models involving fractional Brownian motion and related processes. For many years;

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