Stochastic Geometric Mechanics PDF Download
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Author | : Sergio Albeverio |
Publisher | : Springer |
Total Pages | : 275 |
Release | : 2017-11-17 |
Genre | : Mathematics |
ISBN | : 3319634534 |
Download Stochastic Geometric Mechanics Book in PDF, ePub and Kindle
Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled “Geometric mechanics – variational and stochastic methods” run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Fédérale de Lausanne. The aim of the semester was to develop a common language needed to handle the wide variety of problems and phenomena occurring in stochastic geometric mechanics. It gathered mathematicians and scientists from several different areas of mathematics (from analysis, probability, numerical analysis and statistics, to algebra, geometry, topology, representation theory, and dynamical systems theory) and also areas of mathematical physics, control theory, robotics, and the life sciences, with the aim of developing the new research area in a concentrated joint effort, both from the theoretical and applied points of view. The lectures were given by leading specialists in different areas of mathematics and its applications, building bridges among the various communities involved and working jointly on developing the envisaged new interdisciplinary subject of stochastic geometric mechanics.
Author | : I︠U︡. E. Gliklikh |
Publisher | : Springer Science & Business Media |
Total Pages | : 240 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9780387948676 |
Download Global Analysis in Mathematical Physics Book in PDF, ePub and Kindle
This book is the first in monographic literature giving a common treatment to three areas of applications of Global Analysis in Mathematical Physics previously considered quite distant from each other, namely, differential geometry applied to classical mechanics, stochastic differential geometry used in quantum and statistical mechanics, and infinite-dimensional differential geometry fundamental for hydrodynamics. The unification of these topics is made possible by considering the Newton equation or its natural generalizations and analogues as a fundamental equation of motion. New general geometric and stochastic methods of investigation are developed, and new results on existence, uniqueness, and qualitative behavior of solutions are obtained.
Author | : So Takao |
Publisher | : |
Total Pages | : |
Release | : 2020 |
Genre | : |
ISBN | : |
Download Stochastic Geometric Mechanics for Fluid Modelling and MCMC. Book in PDF, ePub and Kindle
Author | : David Coupier |
Publisher | : Springer |
Total Pages | : 232 |
Release | : 2019-04-09 |
Genre | : Mathematics |
ISBN | : 3030135470 |
Download Stochastic Geometry Book in PDF, ePub and Kindle
This volume offers a unique and accessible overview of the most active fields in Stochastic Geometry, up to the frontiers of recent research. Since 2014, the yearly meeting of the French research structure GDR GeoSto has been preceded by two introductory courses. This book contains five of these introductory lectures. The first chapter is a historically motivated introduction to Stochastic Geometry which relates four classical problems (the Buffon needle problem, the Bertrand paradox, the Sylvester four-point problem and the bicycle wheel problem) to current topics. The remaining chapters give an application motivated introduction to contemporary Stochastic Geometry, each one devoted to a particular branch of the subject: understanding spatial point patterns through intensity and conditional intensities; stochastic methods for image analysis; random fields and scale invariance; and the theory of Gibbs point processes. Exposing readers to a rich theory, this book will encourage further exploration of the subject and its wide applications.
Author | : Rolf Schneider |
Publisher | : Springer Science & Business Media |
Total Pages | : 692 |
Release | : 2008-09-08 |
Genre | : Mathematics |
ISBN | : 354078859X |
Download Stochastic and Integral Geometry Book in PDF, ePub and Kindle
Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-world applications in various sciences required solid mathematical foundations. Integral geometry studies geometric mean values with respect to invariant measures and is, therefore, the appropriate tool for the investigation of random geometric structures that exhibit invariance under translations or motions. Stochastic and Integral Geometry provides the mathematically oriented reader with a rigorous and detailed introduction to the basic stationary models used in stochastic geometry – random sets, point processes, random mosaics – and to the integral geometry that is needed for their investigation. The interplay between both disciplines is demonstrated by various fundamental results. A chapter on selected problems about geometric probabilities and an outlook to non-stationary models are included, and much additional information is given in the section notes.
Author | : Erwin Luesink |
Publisher | : |
Total Pages | : |
Release | : 2021 |
Genre | : |
ISBN | : |
Download Stochastic Geometric Mechanics of Thermal Ocean Dynamics Book in PDF, ePub and Kindle
Author | : Ya.I. Belopolskaya |
Publisher | : Springer Science & Business Media |
Total Pages | : 274 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9400922159 |
Download Stochastic Equations and Differential Geometry Book in PDF, ePub and Kindle
'Et moi ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ... '; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Author | : Stefania Ugolini |
Publisher | : Springer |
Total Pages | : 265 |
Release | : 2022-03-06 |
Genre | : Mathematics |
ISBN | : 9783030874315 |
Download Geometry and Invariance in Stochastic Dynamics Book in PDF, ePub and Kindle
This book grew out of the Random Transformations and Invariance in Stochastic Dynamics conference held in Verona from the 25th to the 28th of March 2019 in honour of Sergio Albeverio. It presents the new area of studies concerning invariance and symmetry properties of finite and infinite dimensional stochastic differential equations.This area constitutes a natural, much needed, extension of the theory of classical ordinary and partial differential equations, where the reduction theory based on symmetry and invariance of such classical equations has historically proved to be very important both for theoretical and numerical studies and has given rise to important applications. The purpose of the present book is to present the state of the art of the studies on stochastic systems from this point of view, present some of the underlying fundamental ideas and methods involved, and to outline the main lines for future developments. The main focus is on bridging the gap between deterministic and stochastic approaches, with the goal of contributing to the elaboration of a unified theory that will have a great impact both from the theoretical point of view and the point of view of applications. The reader is a mathematician or a theoretical physicist. The main discipline is stochastic analysis with profound ideas coming from Mathematical Physics and Lie’s Group Geometry. While the audience consists essentially of academicians, the reader can also be a practitioner with Ph.D., who is interested in efficient stochastic modelling.
Author | : Yu. E. Gliklikh |
Publisher | : 清华大学出版社有限公司 |
Total Pages | : 214 |
Release | : 2005 |
Genre | : Geometry, Differential |
ISBN | : 9787302102014 |
Download 数学物理中的全局分析——几何及随机方法(天元基金影印系列丛书) Book in PDF, ePub and Kindle
Author | : Sergio Albeverio |
Publisher | : World Scientific |
Total Pages | : 760 |
Release | : 1990-10-15 |
Genre | : Mathematics |
ISBN | : 9813201223 |
Download Stochastic Processes, Physics And Geometry Book in PDF, ePub and Kindle