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Random Growth Models
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Book Synopsis Random Growth Models by : Michael Damron
Download or read book Random Growth Models written by Michael Damron and published by American Mathematical Soc.. This book was released on 2018-09-27 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of random growth models began in probability theory about 50 years ago, and today this area occupies a central place in the subject. The considerable challenges posed by these models have spurred the development of innovative probability theory and opened up connections with several other parts of mathematics, such as partial differential equations, integrable systems, and combinatorics. These models also have applications to fields such as computer science, biology, and physics. This volume is based on lectures delivered at the 2017 AMS Short Course “Random Growth Models”, held January 2–3, 2017 in Atlanta, GA. The articles in this book give an introduction to the most-studied models; namely, first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation. Topics covered include asymptotic properties of infection times, limiting shape results, fluctuation bounds, and geometrical properties of geodesics, which are optimal paths for growth.
Book Synopsis Random Growth Models by : Michael Damron
Download or read book Random Growth Models written by Michael Damron and published by . This book was released on 2018 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of random growth models began in probability theory about 50 years ago, and today this area occupies a central place in the subject. The considerable challenges posed by these models have spurred the development of innovative probability theory and opened up connections with several other parts of mathematics, such as partial differential equations, integrable systems, and combinatorics. These models also have applications to fields such as computer science, biology, and physics. This volume is based on lectures delivered at the 2017 AMS Short Course ""Random Growth Models"", held Ja.
Book Synopsis Topics in Random Growth Models by : Finn, Thomas
Download or read book Topics in Random Growth Models written by Finn, Thomas and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Growth Modeling written by Kevin J. Grimm and published by Guilford Publications. This book was released on 2016-10-17 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Growth models are among the core methods for analyzing how and when people change. Discussing both structural equation and multilevel modeling approaches, this book leads readers step by step through applying each model to longitudinal data to answer particular research questions. It demonstrates cutting-edge ways to describe linear and nonlinear change patterns, examine within-person and between-person differences in change, study change in latent variables, identify leading and lagging indicators of change, evaluate co-occurring patterns of change across multiple variables, and more. User-friendly features include real data examples, code (for Mplus or NLMIXED in SAS, and OpenMx or nlme in R), discussion of the output, and interpretation of each model's results. User-Friendly Features *Real, worked-through longitudinal data examples serving as illustrations in each chapter. *Script boxes that provide code for fitting the models to example data and facilitate application to the reader's own data. *"Important Considerations" sections offering caveats, warnings, and recommendations for the use of specific models. *Companion website supplying datasets and syntax for the book's examples, along with additional code in SAS/R for linear mixed-effects modeling.
Book Synopsis Competition Within Random Growth Models by : Shane Turnbull
Download or read book Competition Within Random Growth Models written by Shane Turnbull and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Random Graph and Growth Models written by and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Degenerate Regimes for Random Growth Models in the Complex Plane by : Frankie Higgs
Download or read book Degenerate Regimes for Random Growth Models in the Complex Plane written by Frankie Higgs and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Random-Cluster Model by : Geoffrey R. Grimmett
Download or read book The Random-Cluster Model written by Geoffrey R. Grimmett and published by Springer Science & Business Media. This book was released on 2006-12-13 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The random-cluster model has emerged as a key tool in the mathematical study of ferromagnetism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from probability and geometry. The Random-Cluster Model contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems. The book includes treatment of the first-order (discontinuous) phase transition.
Book Synopsis Random Fluctuations and Pattern Growth: Experiments and Models by : Harry Eugene Stanley
Download or read book Random Fluctuations and Pattern Growth: Experiments and Models written by Harry Eugene Stanley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute, Cargèse, Corsica, France, 18-31 July, 1988
Book Synopsis A Practitioner's Guide to Growth Models by : Katherine Castellano
Download or read book A Practitioner's Guide to Growth Models written by Katherine Castellano and published by . This book was released on 2013-03-01 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Practitioner's Guide to Growth Models
Book Synopsis Analysis and Stochastics of Growth Processes and Interface Models by : Peter Mörters
Download or read book Analysis and Stochastics of Growth Processes and Interface Models written by Peter Mörters and published by OUP Oxford. This book was released on 2008-07-24 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of topical survey articles by leading researchers in the fields of applied analysis and probability theory, working on the mathematical description of growth phenomena. Particular emphasis is on the interplay of the two fields, with articles by analysts being accessible for researchers in probability, and vice versa. Mathematical methods discussed in the book comprise large deviation theory, lace expansion, harmonic multi-scale techniques and homogenisation of partial differential equations. Models based on the physics of individual particles are discussed alongside models based on the continuum description of large collections of particles, and the mathematical theories are used to describe physical phenomena such as droplet formation, Bose-Einstein condensation, Anderson localization, Ostwald ripening, or the formation of the early universe. The combination of articles from the two fields of analysis and probability is highly unusual and makes this book an important resource for researchers working in all areas close to the interface of these fields.
Book Synopsis Universality for Some Random Growth Models by : Kevin Yang
Download or read book Universality for Some Random Growth Models written by Kevin Yang and published by . This book was released on 2022 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis studies the problem of deriving fluctuations of hydrodynamic limits for general time-dependent microscopic systems. To this end, we develop a derivation of the Boltzmann-Gibbs principle depending only on the dynamics of the system at hand. This provides an answer to conjectures of Spohn and Jensen-Yau. As an application of the method, we derive the Kardar-Parisi-Zhang equation as a continuum limit of the current fluctuations in some non-integrable and non-stationary asymmetric exclusion processes.
Book Synopsis Random Vs Deterministic Initial Conditions in KPZ Growth Models by : Giovanni D'Urso
Download or read book Random Vs Deterministic Initial Conditions in KPZ Growth Models written by Giovanni D'Urso and published by . This book was released on 2015 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Properties of the Limit Shape for Some Last Passage Growth Models in Random Environments by : Hao Lin
Download or read book Properties of the Limit Shape for Some Last Passage Growth Models in Random Environments written by Hao Lin and published by . This book was released on 2011 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multi-stage Growth Models by : Robert Lorell Coffman
Download or read book Multi-stage Growth Models written by Robert Lorell Coffman and published by . This book was released on 1990 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Random Graph Dynamics by : Rick Durrett
Download or read book Random Graph Dynamics written by Rick Durrett and published by Cambridge University Press. This book was released on 2010-05-31 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter.
Book Synopsis Statistics in Industry by : Ravindra Khattree
Download or read book Statistics in Industry written by Ravindra Khattree and published by Gulf Professional Publishing. This book was released on 2003-07-18 with total page 1224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an exposition of topics in industrial statistics. It serves as a reference for researchers in industrial statistics/industrial engineering and a source of information for practicing statisticians/industrial engineers. A variety of topics in the areas of industrial process monitoring, industrial experimentation, industrial modelling and data analysis are covered and are authored by leading researchers or practitioners in the particular specialized topic. Targeting the audiences of researchers in academia as well as practitioners and consultants in industry, the book provides comprehensive accounts of the relevant topics. In addition, whenever applicable ample data analytic illustrations are provided with the help of real world data.
