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 | : Finn, Thomas |
Publisher | : |
Total Pages | : |
Release | : 2021 |
Genre | : |
ISBN | : |
Download Topics in Random Growth Models Book in PDF, ePub and Kindle
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 | : Shane Turnbull |
Publisher | : |
Total Pages | : |
Release | : 2018 |
Genre | : |
ISBN | : |
Download Competition Within Random Growth Models Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2020 |
Genre | : |
ISBN | : 9789179112561 |
Download Random Graph and Growth Models Book in PDF, ePub and Kindle
Author | : Frankie Higgs |
Publisher | : |
Total Pages | : 0 |
Release | : 2022 |
Genre | : |
ISBN | : |
Download Degenerate Regimes for Random Growth Models in the Complex Plane Book in PDF, ePub and Kindle
Author | : Giambattista Giacomin |
Publisher | : Imperial College Press |
Total Pages | : 259 |
Release | : 2007 |
Genre | : Technology & Engineering |
ISBN | : 1860947867 |
Download Random Polymer Models Book in PDF, ePub and Kindle
This volume introduces readers to the world of disordered systems and to some of the remarkable probabilistic techniques developed in the field. The author explores in depth a class of directed polymer models to which much attention has been devoted in the last 25 years, in particular in the fields of physical and biological sciences. The models treated have been widely used in studying, for example, the phenomena of polymer pinning on a defect line, the behavior of copolymers in proximity to an interface between selective solvents and the DNA denaturation transition. In spite of the apparent heterogeneity of this list, in mathematical terms, a unified vision emerges. One is in fact dealing with the natural statistical mechanics systems built on classical renewal sequences by introducing one-body potentials. This volume is also a self-contained mathematical account of the state of the art for this class of statistical mechanics models.
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 | : 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