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Loeb Measures In Practice Recent Advances


Loeb Measures In Practice Recent Advances
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Loeb Measures In Practice


Loeb Measures In Practice
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Author : Nigel Cutland
language : en
Publisher:
Release Date : 2000

Loeb Measures In Practice written by Nigel Cutland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.




Loeb Measures In Practice Recent Advances


Loeb Measures In Practice Recent Advances
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Author : Nigel J. Cutland
language : en
Publisher: Springer
Release Date : 2004-10-11

Loeb Measures In Practice Recent Advances written by Nigel J. Cutland and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-11 with Mathematics categories.


This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, using techniques from NSA. Subsequent chapters sketch a range of recent applications of Loeb measures due to the author and his collaborators, in such diverse fields as (stochastic) fluid mechanics, stochastic calculus of variations ("Malliavin" calculus) and the mathematical finance theory. The exposition is designed for a general audience, and no previous knowledge of either NSA or the various fields of applications is assumed.



Loeb Measures In Practice


Loeb Measures In Practice
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Author : Nigel J. Cutland
language : en
Publisher:
Release Date : 2014-01-15

Loeb Measures In Practice written by Nigel J. Cutland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Zeta Functions Of Groups And Rings


Zeta Functions Of Groups And Rings
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Author : Marcus du Sautoy
language : en
Publisher: Springer Science & Business Media
Release Date : 2008

Zeta Functions Of Groups And Rings written by Marcus du Sautoy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation.



Parameter Estimation In Stochastic Differential Equations


Parameter Estimation In Stochastic Differential Equations
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Author : Jaya P. N. Bishwal
language : en
Publisher: Springer
Release Date : 2007-09-26

Parameter Estimation In Stochastic Differential Equations written by Jaya P. N. Bishwal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-26 with Mathematics categories.


Parameter estimation in stochastic differential equations and stochastic partial differential equations is the science, art and technology of modeling complex phenomena. The subject has attracted researchers from several areas of mathematics. This volume presents the estimation of the unknown parameters in the corresponding continuous models based on continuous and discrete observations and examines extensively maximum likelihood, minimum contrast and Bayesian methods.



Hypoelliptic Estimates And Spectral Theory For Fokker Planck Operators And Witten Laplacians


Hypoelliptic Estimates And Spectral Theory For Fokker Planck Operators And Witten Laplacians
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Author : Francis Nier
language : en
Publisher: Springer
Release Date : 2005-01-17

Hypoelliptic Estimates And Spectral Theory For Fokker Planck Operators And Witten Laplacians written by Francis Nier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-17 with Mathematics categories.


There has recently been a renewal of interest in Fokker-Planck operators, motivated by problems in statistical physics, in kinetic equations, and differential geometry. Compared to more standard problems in the spectral theory of partial differential operators, those operators are not self-adjoint and only hypoelliptic. The aim of the analysis is to give, as generally as possible, an accurate qualitative and quantitative description of the exponential return to the thermodynamical equilibrium. While exploring and improving recent results in this direction, this volume proposes a review of known techniques on: the hypoellipticity of polynomial of vector fields and its global counterpart, the global Weyl-Hörmander pseudo-differential calculus, the spectral theory of non-self-adjoint operators, the semi-classical analysis of Schrödinger-type operators, the Witten complexes, and the Morse inequalities.



Posn R And Eisenstein Series


Posn R And Eisenstein Series
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Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2005

Posn R And Eisenstein Series written by and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Eisenstein series categories.




Tutorials In Mathematical Biosciences Ii


Tutorials In Mathematical Biosciences Ii
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Author : James Sneyd
language : en
Publisher: Springer
Release Date : 2005-06-13

Tutorials In Mathematical Biosciences Ii written by James Sneyd and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-13 with Mathematics categories.


This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of cell types. Calcium plays a crucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. In particular, calcium plays a central role in muscular contraction, olfactory transduction and synaptic communication, three of the topics to be addressed in detail in this book. In addition to the models, much of the underlying physiology is presented, so that readers may learn both the mathematics and the physiology, and see how the models are applied to specific biological questions. It is intended primarily as a graduate text or a research reference. It will serve as a concise and up-to-date introduction to all those who wish to learn about the state of calcium dynamics modeling, and how such models are applied to physiological questions.



Quantum Independent Increment Processes Ii


Quantum Independent Increment Processes Ii
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Author : Ole E Barndorff-Nielsen
language : en
Publisher: Springer
Release Date : 2005-11-25

Quantum Independent Increment Processes Ii written by Ole E Barndorff-Nielsen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-25 with Mathematics categories.


This is the second of two volumes containing the revised and completed notes of lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics". This school was held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald in March, 2003, and supported by the Volkswagen Foundation. The school gave an introduction to current research on quantum independent increment processes aimed at graduate students and non-specialists working in classical and quantum probability, operator algebras, and mathematical physics. The present second volume contains the following lectures: "Random Walks on Finite Quantum Groups" by Uwe Franz and Rolf Gohm, "Quantum Markov Processes and Applications in Physics" by Burkhard Kümmerer, Classical and Free Infinite Divisibility and Lévy Processes" by Ole E. Barndorff-Nielsen, Steen Thorbjornsen, and "Lévy Processes on Quantum Groups and Dual Groups" by Uwe Franz.



Mathematical Foundation Of Turbulent Viscous Flows


Mathematical Foundation Of Turbulent Viscous Flows
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Author : Peter Constantin
language : en
Publisher: Springer
Release Date : 2005-11-24

Mathematical Foundation Of Turbulent Viscous Flows written by Peter Constantin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-24 with Mathematics categories.


Constantin presents the Euler equations of ideal incompressible fluids and the blow-up problem for the Navier-Stokes equations of viscous fluids, describing major mathematical questions of turbulence theory. These are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations, explained in Gallavotti's lectures. Kazhikhov introduces the theory of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. Y. Meyer focuses on nonlinear evolution equations and related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, localized in space or in time variable. Ukai discusses the asymptotic analysis theory of fluid equations, the Cauchy-Kovalevskaya technique for the Boltzmann-Grad limit of the Newtonian equation, the multi-scale analysis, giving compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers.