Seminar on Stochastic Analysis, Random Fields and Applications III
Title | Seminar on Stochastic Analysis, Random Fields and Applications III PDF eBook |
Author | Robert C. Dalang |
Publisher | Birkhäuser |
Pages | 310 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3034882092 |
This volume contains 20 refereed research or review papers presented at the five-day Third Seminar on Stochastic Analysis, Random Fields and Applications which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerland, from September 20 to 24, 1999. The seminar focused on three topics: fundamental aspects of stochastic analysis, physical modeling, and applications to financial engineering. The third topic was the subject of a mini-symposium on stochastic methods in financial models.
Second Order Partial Differential Equations in Hilbert Spaces
Title | Second Order Partial Differential Equations in Hilbert Spaces PDF eBook |
Author | Giuseppe Da Prato |
Publisher | Cambridge University Press |
Pages | 397 |
Release | 2002-07-25 |
Genre | Mathematics |
ISBN | 1139433431 |
State of the art treatment of a subject which has applications in mathematical physics, biology and finance. Includes discussion of applications to control theory. There are numerous notes and references that point to further reading. Coverage of some essential background material helps to make the book self contained.
Quantum Information and Complexity
Title | Quantum Information and Complexity PDF eBook |
Author | Takeyuki Hida |
Publisher | World Scientific |
Pages | 469 |
Release | 2004 |
Genre | Science |
ISBN | 9812560475 |
"The Winter School and the International Conference on 'Quantum Information and Complexity' was held from 6 to 10 January 2003, at Meijo University, Nagoya"--P. v.
Fokker–Planck–Kolmogorov Equations
Title | Fokker–Planck–Kolmogorov Equations PDF eBook |
Author | Vladimir I. Bogachev |
Publisher | American Mathematical Society |
Pages | 495 |
Release | 2022-02-10 |
Genre | Mathematics |
ISBN | 1470470098 |
This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker–Planck–Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.
Quantum Information And Complexity - Proceedings Of The Meijo Winter School 2003
Title | Quantum Information And Complexity - Proceedings Of The Meijo Winter School 2003 PDF eBook |
Author | Takeyuki Hida |
Publisher | World Scientific |
Pages | 469 |
Release | 2004-10-28 |
Genre | Science |
ISBN | 9814481750 |
Quantum information is a developing multi-disciplinary field, with many exciting links to white noise theory. This connection is explored and presented in this work, which effectively bridges the gap between quantum information theory and complex systems. Arising from the Meijo Winter School and International Conference, the lecture notes and research papers published in this timely volume will have a significant impact on the future development of the theories of quantum information and complexity. This book will be of interest to mathematicians, physicists, computer scientists as well as electrical engineers working in this field.
Optimal Control and Partial Differential Equations
Title | Optimal Control and Partial Differential Equations PDF eBook |
Author | José Luis Menaldi |
Publisher | IOS Press |
Pages | 632 |
Release | 2001 |
Genre | Mathematics |
ISBN | 9781586030964 |
This volume contains more than sixty invited papers of international wellknown scientists in the fields where Alain Bensoussan's contributions have been particularly important: filtering and control of stochastic systems, variationnal problems, applications to economy and finance, numerical analysis... In particular, the extended texts of the lectures of Professors Jens Frehse, Hitashi Ishii, Jacques-Louis Lions, Sanjoy Mitter, Umberto Mosco, Bernt Oksendal, George Papanicolaou, A. Shiryaev, given in the Conference held in Paris on December 4th, 2000 in honor of Professor Alain Bensoussan are included.
Stochastic PDE's and Kolmogorov Equations in Infinite Dimensions
Title | Stochastic PDE's and Kolmogorov Equations in Infinite Dimensions PDF eBook |
Author | N.V. Krylov |
Publisher | Springer |
Pages | 248 |
Release | 2006-11-15 |
Genre | Mathematics |
ISBN | 3540481613 |
Kolmogorov equations are second order parabolic equations with a finite or an infinite number of variables. They are deeply connected with stochastic differential equations in finite or infinite dimensional spaces. They arise in many fields as Mathematical Physics, Chemistry and Mathematical Finance. These equations can be studied both by probabilistic and by analytic methods, using such tools as Gaussian measures, Dirichlet Forms, and stochastic calculus. The following courses have been delivered: N.V. Krylov presented Kolmogorov equations coming from finite-dimensional equations, giving existence, uniqueness and regularity results. M. Röckner has presented an approach to Kolmogorov equations in infinite dimensions, based on an LP-analysis of the corresponding diffusion operators with respect to suitably chosen measures. J. Zabczyk started from classical results of L. Gross, on the heat equation in infinite dimension, and discussed some recent results.