Author : David A. Croydon
Publisher : American Mathematical Society
Page : 114 pages
File Size : 39,72 MB
Release : 2023-03-09
Category : Mathematics
ISBN : 1470456338
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Author : Sergio I. López
Publisher : Springer Nature
Page : 167 pages
File Size : 31,24 MB
Release : 2020-10-16
Category : Mathematics
ISBN : 3030575136
This volume features a collection of contributed articles and lecture notes from the XIII Symposium on Probability and Stochastic Processes, held at UNAM, Mexico, in December 2017. It is split into two main parts: the first one presents lecture notes of the course provided by Mauricio Duarte, followed by its second part which contains research contributions of some of the participants.
Author : Rafael von Känel
Publisher : American Mathematical Society
Page : 154 pages
File Size : 41,64 MB
Release : 2023-06-22
Category : Mathematics
ISBN : 1470464160
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Author : Jim Pitman
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 19,35 MB
Release : 2006-05-11
Category : Mathematics
ISBN : 354030990X
The purpose of this text is to bring graduate students specializing in probability theory to current research topics at the interface of combinatorics and stochastic processes. There is particular focus on the theory of random combinatorial structures such as partitions, permutations, trees, forests, and mappings, and connections between the asymptotic theory of enumeration of such structures and the theory of stochastic processes like Brownian motion and Poisson processes.
Author : Walter A. Strauss
Publisher : John Wiley & Sons
Page : 467 pages
File Size : 35,80 MB
Release : 2007-12-21
Category : Mathematics
ISBN : 0470054565
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Author : Karl Johan Åström
Publisher : Princeton University Press
Page : pages
File Size : 43,78 MB
Release : 2021-02-02
Category : Technology & Engineering
ISBN : 069121347X
The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory
Author : Peter Mörters
Publisher : Cambridge University Press
Page : pages
File Size : 13,42 MB
Release : 2010-03-25
Category : Mathematics
ISBN : 1139486578
This eagerly awaited textbook covers everything the graduate student in probability wants to know about Brownian motion, as well as the latest research in the area. Starting with the construction of Brownian motion, the book then proceeds to sample path properties like continuity and nowhere differentiability. Notions of fractal dimension are introduced early and are used throughout the book to describe fine properties of Brownian paths. The relation of Brownian motion and random walk is explored from several viewpoints, including a development of the theory of Brownian local times from random walk embeddings. Stochastic integration is introduced as a tool and an accessible treatment of the potential theory of Brownian motion clears the path for an extensive treatment of intersections of Brownian paths. An investigation of exceptional points on the Brownian path and an appendix on SLE processes, by Oded Schramm and Wendelin Werner, lead directly to recent research themes.
Author : Gary T. Horowitz
Publisher : Cambridge University Press
Page : 437 pages
File Size : 42,38 MB
Release : 2012-04-19
Category : Science
ISBN : 1107013453
The first book devoted to black holes in more than four dimensions, for graduate students and researchers.
Author : Stephen C. Cowin
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 25,81 MB
Release : 2001
Category : Mathematics
ISBN : 1402002203
Cowin (New York Center for Biomedical Engineering) and Humphrey (biomedical engineering, Texas A&M U.) present seven papers that discuss current research and future directions. Topics concern tissues within the cardiovascular system (arteries, the heart, and biaxial testing of planar tissues such as heart valves). Themes include an emphasis on data on the underlying microstructure, especially collagen; the consideration of the fact that both arteries and the heart contain muscle and that there is, therefore, a need to quantify both the active and passive response; constitutive relations for active behavior; and the growth and remodeling of cardiovascular tissues. Of interest to cardiovascular and biomechanics soft tissue researchers, and bioengineers. Annotation copyrighted by Book News, Inc., Portland, OR.
Author : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
Page : 481 pages
File Size : 18,98 MB
Release : 2012
Category : Mathematics
ISBN : 0821868632
This volume is a collection of lecture notes for six of the ten courses given in Buzios, Brazil by prominent probabilists at the 2010 Clay Mathematics Institute Summer School, ``Probability and Statistical Physics in Two and More Dimensions'' and at the XIV Brazilian School of Probability. In the past ten to fifteen years, various areas of probability theory related to statistical physics, disordered systems and combinatorics have undergone intensive development. A number of these developments deal with two-dimensional random structures at their critical points, and provide new tools and ways of coping with at least some of the limitations of Conformal Field Theory that had been so successfully developed in the theoretical physics community to understand phase transitions of two-dimensional systems. Included in this selection are detailed accounts of all three foundational courses presented at the Clay school--Schramm-Loewner Evolution and other Conformally Invariant Objects, Noise Sensitivity and Percolation, Scaling Limits of Random Trees and Planar Maps--together with contributions on Fractal and Multifractal properties of SLE and Conformal Invariance of Lattice Models. Finally, the volume concludes with extended articles based on the courses on Random Polymers and Self-Avoiding Walks given at the Brazilian School of Probability during the final week of the school. Together, these notes provide a panoramic, state-of-the-art view of probability theory areas related to statistical physics, disordered systems and combinatorics. Like the lectures themselves, they are oriented towards advanced students and postdocs, but experts should also find much of interest.
