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Random Obstacle Problems

2017-02-27 Mathematics
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Release : 2017-02-27
Genre : Mathematics
Kind : eBook
Book Rating : 962/5 ( reviews)

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Book Synopsis Random Obstacle Problems by : Lorenzo Zambotti

Download or read book Random Obstacle Problems written by Lorenzo Zambotti. This book was released on 2017-02-27. Available in PDF, EPUB and Kindle. Book excerpt: Studying the fine properties of solutions to Stochastic (Partial) Differential Equations with reflection at a boundary, this book begins with a discussion of classical one-dimensional diffusions as the reflecting Brownian motion, devoting a chapter to Bessel processes, and moves on to function-valued solutions to SPDEs. Inspired by the classical stochastic calculus for diffusions, which is unfortunately still unavailable in infinite dimensions, it uses integration by parts formulae on convex sets of paths in order to describe the behaviour of the solutions at the boundary and the contact set between the solution and the obstacle. The text may serve as an introduction to space-time white noise, SPDEs and monotone gradient systems. Numerous open research problems in both classical and new topics are proposed.

Brownian Motion, Obstacles and Random Media

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 817/5 ( reviews)

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Book Synopsis Brownian Motion, Obstacles and Random Media by : Alain-Sol Sznitman

Download or read book Brownian Motion, Obstacles and Random Media written by Alain-Sol Sznitman. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an account for the non-specialist of the circle of ideas, results and techniques, which grew out in the study of Brownian motion and random obstacles. It also includes an overview of known results and connections with other areas of random media, taking a highly original and personal approach throughout.

Recent Developments in the Solution of Nonlinear Differential Equations

2021-09-08 Mathematics
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Release : 2021-09-08
Genre : Mathematics
Kind : eBook
Book Rating : 561/5 ( reviews)

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Book Synopsis Recent Developments in the Solution of Nonlinear Differential Equations by : Bruno Carpentieri

Download or read book Recent Developments in the Solution of Nonlinear Differential Equations written by Bruno Carpentieri. This book was released on 2021-09-08. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.

Séminaire de Probabilités XLIX

2018-08-07 Mathematics
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Release : 2018-08-07
Genre : Mathematics
Kind : eBook
Book Rating : 206/5 ( reviews)

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Book Synopsis Séminaire de Probabilités XLIX by : Catherine Donati-Martin

Download or read book Séminaire de Probabilités XLIX written by Catherine Donati-Martin. This book was released on 2018-08-07. Available in PDF, EPUB and Kindle. Book excerpt: This 49th volume offers a good sample of the main streams of current research on probability and stochastic processes, in particular those active in France. This includes articles on latest developments on diffusion processes, large deviations, martingale theory, quasi-stationary distribution, random matrices, and many more. All the contributions come from spontaneous submissions and their diversity illustrates the good health of this branch of mathematics. The featured contributors are E. Boissard, F. Bouguet, J. Brossard, M. Capitaine, P. Cattiaux, N. Champagnat, K. Abdoulaye Coulibaly-Pasquier, H. Elad Altman, A. Guillin, P. Kratz, A. Lejay, C. Leuridan, P. McGill, L. Miclo, G. Pagès, E. Pardoux, P. Petit, B. Rajeev, L. Serlet, H. Tsukada, D. Villeomannais and B. Wilbertz.

Trends in Intelligent Robotics

2010-09-10 Computers
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Release : 2010-09-10
Genre : Computers
Kind : eBook
Book Rating : 102/5 ( reviews)

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Book Synopsis Trends in Intelligent Robotics by : Prahlad Vadakkepat

Download or read book Trends in Intelligent Robotics written by Prahlad Vadakkepat. This book was released on 2010-09-10. Available in PDF, EPUB and Kindle. Book excerpt: th This volume contains the papers selected for the 13 FIRA Robot World Congress, held at Amrita Vishwa Vidyapeetham Bangalore, India, September 15-17, 2010. The Federation of International Robot-soccer Association (FIRA – www.fira.net) is a non-profit organization that annually organizes robotic competitions and meetings around the globe. The robot soccer competitions started in 1996, and FIRA was est- lished on, June 5, 1997. The robot soccer competitions are aimed at promoting the spirit of science and technology to the younger generation. The congress is a forum to share ideas and future directions of technologies, and to enlarge the human networks in the robotics area. The objectives of the FIRA Cup and Congress are to explore the technical dev- opments and achievements in the field of robotics, and provide participants with a robot festival including technical presentations, robot soccer competitions, and exh- its under the theme “Where Theory and Practice Meet.” FIRA India aims to propagate and popularize robotics and robotic competitions across India.

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