Singular Random Dynamics

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Publisher : Springer Nature
ISBN 13 : 3030295451
Total Pages : 316 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Singular Random Dynamics by : Massimiliano Gubinelli

Download or read book Singular Random Dynamics written by Massimiliano Gubinelli and published by Springer Nature. This book was released on 2019-11-12 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by leading experts in an emerging field, this book offers a unique view of the theory of stochastic partial differential equations, with lectures on the stationary KPZ equation, fully nonlinear SPDEs, and random data wave equations. This subject has recently attracted a great deal of attention, partly as a consequence of Martin Hairer's contributions and in particular his creation of a theory of regularity structures for SPDEs, for which he was awarded the Fields Medal in 2014. The text comprises three lectures covering: the theory of stochastic Hamilton–Jacobi equations, one of the most intriguing and rich new chapters of this subject; singular SPDEs, which are at the cutting edge of innovation in the field following the breakthroughs of regularity structures and related theories, with the KPZ equation as a central example; and the study of dispersive equations with random initial conditions, which gives new insights into classical problems and at the same time provides a surprising parallel to the theory of singular SPDEs, viewed from many different perspectives. These notes are aimed at graduate students and researchers who want to familiarize themselves with this new field, which lies at the interface between analysis and probability.

Random Perturbation of PDEs and Fluid Dynamic Models

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Publisher : Springer Science & Business Media
ISBN 13 : 3642182305
Total Pages : 187 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Random Perturbation of PDEs and Fluid Dynamic Models by : Franco Flandoli

Download or read book Random Perturbation of PDEs and Fluid Dynamic Models written by Franco Flandoli and published by Springer Science & Business Media. This book was released on 2011-03-11 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the random perturbation of PDEs and fluid dynamic models. The text describes the role of additive and bilinear multiplicative noise, and includes examples of abstract parabolic evolution equations.

A Dynamical Approach to Random Matrix Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470436485
Total Pages : 226 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Dynamical Approach to Random Matrix Theory by : László Erdős

Download or read book A Dynamical Approach to Random Matrix Theory written by László Erdős and published by American Mathematical Soc.. This book was released on 2017-08-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University This book is a concise and self-contained introduction of recent techniques to prove local spectral universality for large random matrices. Random matrix theory is a fast expanding research area, and this book mainly focuses on the methods that the authors participated in developing over the past few years. Many other interesting topics are not included, and neither are several new developments within the framework of these methods. The authors have chosen instead to present key concepts that they believe are the core of these methods and should be relevant for future applications. They keep technicalities to a minimum to make the book accessible to graduate students. With this in mind, they include in this book the basic notions and tools for high-dimensional analysis, such as large deviation, entropy, Dirichlet form, and the logarithmic Sobolev inequality. This manuscript has been developed and continuously improved over the last five years. The authors have taught this material in several regular graduate courses at Harvard, Munich, and Vienna, in addition to various summer schools and short courses. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

A Course on Rough Paths

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Publisher : Springer Nature
ISBN 13 : 3030415562
Total Pages : 346 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis A Course on Rough Paths by : Peter K. Friz

Download or read book A Course on Rough Paths written by Peter K. Friz and published by Springer Nature. This book was released on 2020-05-27 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: With many updates and additional exercises, the second edition of this book continues to provide readers with a gentle introduction to rough path analysis and regularity structures, theories that have yielded many new insights into the analysis of stochastic differential equations, and, most recently, stochastic partial differential equations. Rough path analysis provides the means for constructing a pathwise solution theory for stochastic differential equations which, in many respects, behaves like the theory of deterministic differential equations and permits a clean break between analytical and probabilistic arguments. Together with the theory of regularity structures, it forms a robust toolbox, allowing the recovery of many classical results without having to rely on specific probabilistic properties such as adaptedness or the martingale property. Essentially self-contained, this textbook puts the emphasis on ideas and short arguments, rather than aiming for the strongest possible statements. A typical reader will have been exposed to upper undergraduate analysis and probability courses, with little more than Itô-integration against Brownian motion required for most of the text. From the reviews of the first edition: "Can easily be used as a support for a graduate course ... Presents in an accessible way the unique point of view of two experts who themselves have largely contributed to the theory" - Fabrice Baudouin in the Mathematical Reviews "It is easy to base a graduate course on rough paths on this ... A researcher who carefully works her way through all of the exercises will have a very good impression of the current state of the art" - Nicolas Perkowski in Zentralblatt MATH

Unstable Singularities and Randomness

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Publisher : Elsevier
ISBN 13 : 0080474691
Total Pages : 252 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Unstable Singularities and Randomness by : Joseph P. Zbilut

Download or read book Unstable Singularities and Randomness written by Joseph P. Zbilut and published by Elsevier. This book was released on 2004-06-18 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally, randomness and determinism have been viewed as being diametrically opposed, based on the idea that causality and determinism is complicated by “noise. Although recent research has suggested that noise can have a productive role, it still views noise as a separate entity. This work suggests that this not need to be so. In an informal presentation, instead, the problem is traced to traditional assumptions regarding dynamical equations and their need for unique solutions. If this requirement is relaxed, the equations admit for instability and stochasticity evolving from the dynamics itself. This allows for a decoupling from the “burden of the past and provides insights into concepts such as predictability, irreversibility, adaptability, creativity and multi-choice behaviour. This reformulation is especially relevant for biological and social sciences whose need for flexibility a propos of environmental demands is important to understand: this suggests that many system models are based on randomness and nondeterminism complicated with a little bit of determinism to ultimately achieve concurrent flexibility and stability. As a result, the statistical perception of reality is seen as being a more productive tool than classical determinism. The book addresses scientists of all disciplines, with special emphasis at making the ideas more accessible to scientists and students not traditionally involved in the formal mathematics of the physical sciences. The implications may be of interest also to specialists in the philosophy of science. · Presents the ideas in an informal language.· Provides tools for exploring data for singularities.

Dynamic Data Assimilation

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Publisher : Cambridge University Press
ISBN 13 : 0521851556
Total Pages : 601 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Dynamic Data Assimilation by : John M. Lewis

Download or read book Dynamic Data Assimilation written by John M. Lewis and published by Cambridge University Press. This book was released on 2006-08-03 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description

Random Graph Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 1139460889
Total Pages : 203 pages
Book Rating : 4.1/5 (394 download)

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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.

Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846566
Total Pages : 119 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space by : Zeng Lian

Download or read book Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space written by Zeng Lian and published by American Mathematical Soc.. This book was released on 2010 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are generated by, for example, stochastic or random partial differential equations. The authors prove a multiplicative ergodic theorem and then use this theorem to establish the stable and unstable manifold theorem for nonuniformly hyperbolic random invariant sets.

Algebraic Cycles and Hodge Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540586920
Total Pages : 292 pages
Book Rating : 4.5/5 (869 download)

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Book Synopsis Algebraic Cycles and Hodge Theory by : Mark L. Green

Download or read book Algebraic Cycles and Hodge Theory written by Mark L. Green and published by Springer Science & Business Media. This book was released on 1994-12-16 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.

A First Course in Random Matrix Theory

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Publisher : Cambridge University Press
ISBN 13 : 1108488080
Total Pages : 371 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis A First Course in Random Matrix Theory by : Marc Potters

Download or read book A First Course in Random Matrix Theory written by Marc Potters and published by Cambridge University Press. This book was released on 2020-12-03 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intuitive, up-to-date introduction to random matrix theory and free calculus, with real world illustrations and Big Data applications.

Nonlinear Acoustics

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Publisher : Springer Science & Business Media
ISBN 13 : 9781563963384
Total Pages : 528 pages
Book Rating : 4.9/5 (633 download)

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Book Synopsis Nonlinear Acoustics by : K.A. Naugol'nikh

Download or read book Nonlinear Acoustics written by K.A. Naugol'nikh and published by Springer Science & Business Media. This book was released on 1997-05-08 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Market: Acousticians, research scientists, instructors, and graduate and advanced undergraduate students in nonlinear acoustics. This book contains a collection of papers by authors of the Former Soviet Union. The topics covered are media with "structural" nonlinearities, optical generation of sound, acoustic beat-wave interactions, acoustic shock waves, thermal self-focusing of acoustic waves, solitons, statistical nonlinear acoustics, media with relaxation and oscillatory degrees of freedom, parametric arrays, and fluid cavitation.

Geometry and Dynamics of Groups and Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764386085
Total Pages : 742 pages
Book Rating : 4.3/5 (86 download)

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Book Synopsis Geometry and Dynamics of Groups and Spaces by : Mikhail Kapranov

Download or read book Geometry and Dynamics of Groups and Spaces written by Mikhail Kapranov and published by Springer Science & Business Media. This book was released on 2008-03-05 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it contains an influential, so far unpublished manuscript by Reznikov of book length. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.

Dynamics of Vehicles on Roads and Tracks Vol 2

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Publisher : CRC Press
ISBN 13 : 1351057162
Total Pages : 1360 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Dynamics of Vehicles on Roads and Tracks Vol 2 by : Maksym Spiryagin

Download or read book Dynamics of Vehicles on Roads and Tracks Vol 2 written by Maksym Spiryagin and published by CRC Press. This book was released on 2017-12-06 with total page 1360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Symposium on Dynamics of Vehicles on Roads and Tracks is the leading international gathering of scientists and engineers from academia and industry in the field of ground vehicle dynamics to present and exchange their latest innovations and breakthroughs. Established in Vienna in 1977, the International Association of Vehicle System Dynamics (IAVSD) has since held its biennial symposia throughout Europe and in the USA, Canada, Japan, South Africa and China. The main objectives of IAVSD are to promote the development of the science of vehicle dynamics and to encourage engineering applications of this field of science, to inform scientists and engineers on the current state-of-the-art in the field of vehicle dynamics and to broaden contacts among persons and organisations of the various countries engaged in scientific research and development in the field of vehicle dynamics and related areas. IAVSD 2017, the 25th Symposium of the International Association of Vehicle System Dynamics was hosted by the Centre for Railway Engineering at Central Queensland University, Rockhampton, Australia in August 2017. The symposium focused on the following topics related to road and rail vehicles and trains: dynamics and stability; vibration and comfort; suspension; steering; traction and braking; active safety systems; advanced driver assistance systems; autonomous road and rail vehicles; adhesion and friction; wheel-rail contact; tyre-road interaction; aerodynamics and crosswind; pantograph-catenary dynamics; modelling and simulation; driver-vehicle interaction; field and laboratory testing; vehicle control and mechatronics; performance and optimization; instrumentation and condition monitoring; and environmental considerations. Providing a comprehensive review of the latest innovative developments and practical applications in road and rail vehicle dynamics, the 213 papers now published in these proceedings will contribute greatly to a better understanding of related problems and will serve as a reference for researchers and engineers active in this specialised field. Volume 2 contains 135 papers under the subject heading Rail.

Analysis and Assessment of Cardiovascular Function

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387982823
Total Pages : 414 pages
Book Rating : 4.9/5 (828 download)

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Book Synopsis Analysis and Assessment of Cardiovascular Function by : Gary M. Drzewiecki

Download or read book Analysis and Assessment of Cardiovascular Function written by Gary M. Drzewiecki and published by Springer Science & Business Media. This book was released on 1998 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of cardiovascular function is vital to contemporary biomedical research. However, integration between cellular and subcellular research and organ-level studies is often lacking, as is integration of clinical and basic investigation. This book examines cardiovascular system function from the perspectives of assessment and analysis, with a focus on evaluating function at different anatomical levels using a combination of analytical, experimental, and clinical measurements.

Nonlinear Dynamics and Stochastic Mechanics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821802577
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonlinear Dynamics and Stochastic Mechanics by : Wolfgang Kliemann

Download or read book Nonlinear Dynamics and Stochastic Mechanics written by Wolfgang Kliemann and published by American Mathematical Soc.. This book was released on 1996 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Symposium on Nonlinear Dynamics and Stochastic Mechanics held at The Fields Institute for Research in Mathematical Sciences from August September (1993) as part of the 1992-1993 Program Year on Dynamical Systems and Bifurcation Theory. In recent years, mathematicians and applied scientists have made significant progress in understanding and have developed powerful tools for the analysis of the complex behavior of deterministic and stochastic dynamical systems. By moving beyond classical perturbation methods to more general geometrical, computational, and analytical methods, this book is at the forefront in transferring these new mathematical ideas into engineering practice. This work presents the solutions of some specific problems in engineering structures and mechanics and demonstrates by explicit example these new methods of solution.

Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540407867
Total Pages : 372 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Dynamical Systems by :

Download or read book Dynamical Systems written by and published by Springer Science & Business Media. This book was released on with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3662128780
Total Pages : 590 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Random Dynamical Systems by : Ludwig Arnold

Download or read book Random Dynamical Systems written by Ludwig Arnold and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first systematic presentation of the theory of dynamical systems under the influence of randomness, this book includes products of random mappings as well as random and stochastic differential equations. The basic multiplicative ergodic theorem is presented, providing a random substitute for linear algebra. On its basis, many applications are detailed. Numerous instructive examples are treated analytically or numerically.