Random Growth Models PDF Download
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| Author | : Michael Damron |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 256 |
| Release | : 2018-09-27 |
| Genre | : Random measures |
| ISBN | : 1470435535 |
Download Random Growth Models Book in PDF, ePub and Kindle
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.
| Author | : Michael Damron |
| Publisher | : |
| Total Pages | : 274 |
| Release | : 2018 |
| Genre | : Random measures |
| ISBN | : 9781470449070 |
Download Random Growth Models Book in PDF, ePub and Kindle
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.
| Author | : Kevin J. Grimm |
| Publisher | : Guilford Publications |
| Total Pages | : 558 |
| Release | : 2016-10-17 |
| Genre | : Social Science |
| ISBN | : 1462526063 |
Download Growth Modeling Book in PDF, ePub and Kindle
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.
| Author | : Harry Eugene Stanley |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 366 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9400926537 |
Download Random Fluctuations and Pattern Growth: Experiments and Models Book in PDF, ePub and Kindle
Proceedings of the NATO Advanced Study Institute, Cargèse, Corsica, France, 18-31 July, 1988
| Author | : Rosa M. Benito |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2021 |
| Genre | : |
| ISBN | : 9783030653521 |
Download Complex Networks & Their Applications IX Book in PDF, ePub and Kindle
This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the IX International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2020). The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, network dynamics; diffusion, epidemics and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks and technological networks. .
| Author | : Geoffrey R. Grimmett |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 392 |
| Release | : 2006-12-13 |
| Genre | : Mathematics |
| ISBN | : 3540328912 |
Download The Random-Cluster Model Book in PDF, ePub and Kindle
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.
| Author | : Peter Mörters |
| Publisher | : OUP Oxford |
| Total Pages | : 348 |
| Release | : 2008-07-24 |
| Genre | : Mathematics |
| ISBN | : 019155359X |
Download Analysis and Stochastics of Growth Processes and Interface Models Book in PDF, ePub and Kindle
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.
| Author | : Katherine Castellano |
| Publisher | : |
| Total Pages | : 118 |
| Release | : 2013-03-01 |
| Genre | : Education |
| ISBN | : 9781482510058 |
Download A Practitioner's Guide to Growth Models Book in PDF, ePub and Kindle
A Practitioner's Guide to Growth Models
| Author | : Rick Durrett |
| Publisher | : Cambridge University Press |
| Total Pages | : 203 |
| Release | : 2010-05-31 |
| Genre | : Mathematics |
| ISBN | : 1139460889 |
Download Random Graph Dynamics Book in PDF, ePub and Kindle
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.
| Author | : Alan Frieze |
| Publisher | : Cambridge University Press |
| Total Pages | : 483 |
| Release | : 2016 |
| Genre | : Mathematics |
| ISBN | : 1107118506 |
Download Introduction to Random Graphs Book in PDF, ePub and Kindle
The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.
