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Ergodicity for infinite dimensional systems par Prato,, G. Da. Publication : [S.l.] Cambridge University Press 1996 . 352 p. , This book is devoted to the asymptotic properties of solutions of stochastic evolution equations in infinite dimensional spaces. It is divided into three parts: Markovian dynamical systems; invariant measures for stochastic evolution equations; and invariant measures for specific models. The focus is on models of dynamical processes affected by white noise, which are described by partial differential equations such as the reaction-diffusion equations or Navier-Stokes equations. Besides existence and uniqueness questions, the authors pay special attention to the asymptotic behavior of the solutions, to invariant measures and ergodicity. The authors present some of the results found here for the first time. For all whose research interests involve stochastic modeling, dynamical systems, or ergodic theory, this book will be an essential purchase. 23 cm. Date : 1996 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Lectures on Probability Theory and Statistics : Ecole d'été de Probabilités de Saint-Flour XXXIII - 2003 / par Picard, Jean, Publication : Berlin Heidelberg : Springer-Verlag., 2005 . 1 online resource. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Product integration with application to differential equations par Dollard, John D. Publication : Cambridge Cambridge University Press 2010 . pages cm. , Originally published: Reading, Mass.: Addison-Wesley, 1979. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Stochastic partial differential equations par Chow,, Pao-Liu. Publication : [S.l.] Chapman and Hall/CRC 2007 . 281 p. , As a relatively new area in mathematics, stochastic partial differential equations (PDEs) are still at a tender age and have not yet received much attention in the mathematical community. Filling the void of an introductory text in the field, Stochastic Partial Differential Equations introduces PDEs to students familiar with basic probability theory and It�'s equations, highlighting several computational and analytical techniques. Without assuming specific knowledge of PDEs, the text includes many challenging problems in stochastic analysis and treats stochastic PDEs in a practical way. The author first brings the subject back to its root in classical concrete problems. He then discusses a unified theory of stochastic evolution equations and describes a few applied problems, including the random vibration of a nonlinear elastic beam and invariant measures for stochastic Navier-Stokes equations. The book concludes by pointing out the connection of stochastic PDEs to infinite-dimensional stochastic analysis. By thoroughly covering the concepts and applications of stochastic PDEs at an introductory level, this text provides a guide to current research topics and lays the groundwork for further stud 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

The Monge-ampere equation / par Gutierrez,, Cristian E. Publication : [S.l.] : BirkhƲuser Boston, 2001 . 127 p. ; , A self-contained exposition of the theory of weak solutions, including the regularity results of L.A. Caffarelli, featuring examples, illustrations, bibliographical references and comprehensive index. Topics covered include non-divergence equations, generalized solutions, and regularity theory. DLC: Monge-ampere equations. 25 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Multivariate polysplines : applications to numerical and wavelet analysis / par Kounchev, Ognyan. Publication : . 1 online resource (xiv, 498 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780124224902,

Mathematical Aspects of Pattern Formation in Biological Systems par Wei, Juncheng. Publication : . XII, 319 p. 20 illus. Disponibilité :  http://dx.doi.org/10.1007/978-1-4471-5526-3,

Mathematical Methods in Biology and Neurobiology par Jost, Jürgen. Publication : . X, 226 p. 37 illus., 13 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-1-4471-6353-4,

Potential Theory par Helms, Lester L. Publication : . XIV, 485 p. 2 illus. Disponibilité :  http://dx.doi.org/10.1007/978-1-4471-6422-7,

Asymptotic Chaos Expansions in Finance Theory and Practice / par Nicolay, David. Publication : . XXII, 491 p. 34 illus., 26 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-1-4471-6506-4,

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