Stochastics

This book focuses on the challenges of stability analysis and control synthesis for nonlinear dynamical systems, including stochastic systems, multi-agent systems, and nonholonomic systmes.

This book focuses on the challenges of stability analysis and control synthesis for nonlinear dynamical systems, including stochastic systems, multi-agent systems, and nonholonomic systmes.

This textbook offers a comprehensive introduction to quasi-Monte Carlo methods and several of their applications.

This textbook offers a comprehensive introduction to quasi-Monte Carlo methods and several of their applications.

This textbook aims to bridge a longstanding gap by presenting a rigorous yet physics-centered approach to probability theory and its applications.

This textbook aims to bridge a longstanding gap by presenting a rigorous yet physics-centered approach to probability theory and its applications.

This volume honors Alexander Gammerman on the occasion of his 80th birthday, Prof.

This work was completed during my tenure as a scientific assistant and d- toral student at the Institute for Operations Research at the University of St.

This book provides a modern review of Fluctuation Relations and Fluctuation Theorems in nonequilibrium statistical mechanics.

Fundamentals of Stochastic Signals, Systems and Estimation Theory (third edition) explains the concepts underlying modeling and analysis of stochastic signals and linear stochastic systems.

The aim of this research is to develop a systematic scheme that makes it possible to transform important parts of the by now classical theory of summation of general orthonormal series into a similar theory for series in noncommutative $L_p$-spaces constructed over a noncommutative measure space (a von Neumann algebra of operators acting on a Hilbert space together with a faithful normal state on this algebra).

This monograph treats the theory of Dirichlet forms from a comprehensive point of view, using "e;nonstandard analysis.

The Paris-Princeton Lectures in Financial Mathematics, of which this is the fourth volume, publish cutting-edge research in self-contained, expository articles from outstanding specialists - established or on the rise!

Why does the World Need-Excel Data Analysis, Modeling, and Simulation?

Die statistische Versuchsplanung (Design of Experiment, DoE) ist ein Verfahren zur Analyse von (technischen) Systemen.

Problems of stochastic optimization and various mathematical aspects of risk are the main themes of this contributed volume.

This volume gives a unified presentation of stochastic analysis for continuous and discontinuous stochastic processes, in both discrete and continuous time.

This volume contains a collection of papers dedicated to Professor Eckhard Platen to celebrate his 60th birthday, which occurred in 2009.

Stable Levy processes and related stochastic processes play an important role in stochastic modelling in applied sciences, in particular in financial mathematics.

This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during the period 10th - 26th July, 1995.

Penalising a process is to modify its distribution with a limiting procedure, thus defining a new process whose properties differ somewhat from those of the original one.

Managing uncertainty in new product development projects for improved valuation and decision making is one of the most complex and challenging problems in operations management.

This work starts with the study of those limit theorems in probability theory for which classical methods do not work.

Real-life decisions are usually made in the state of uncertainty such as randomness and fuzziness.

Stochastic processes are as usual the main subject of the Seminaire, with contributions on Brownian motion (fractional or other), Levy processes, martingales and probabilistic finance.

In May 2006, The University of Utah hosted an NSF-funded minicourse on stochastic partial differential equations.

The lectures concentrate on highlights in Combinatorial (ChaptersII and III) and Number Theoretical (ChapterIV) Extremal Theory, in particular on the solution of famous problems which were open for many decades.

Entropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level.

Queueing networks constitute a large family of stochastic models, involving jobs that enter a network, compete for service, and eventually leave the network upon completion of service.

The volume comprises five extended surveys on the recent theory of viscosity solutions of fully nonlinear partial differential equations, and some of its most relevant applications to optimal control theory for deterministic and stochastic systems, front propagation, geometric motions and mathematical finance.

Each year young mathematicians congregate in Saint Flour, France, and listen to extended lecture courses on new topics in Probability Theory.

These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type.

Who could have predicted that the S' eminaire de Probabilit' es would reach the age of 40?

This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research.

The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a three-fold emphasis: first, on the weak convergence of stochastic integrals; second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmann-like and Navier-Stokes equations); third, on the modelling of networks by interacting particle systems.

Financial Mathematics is an exciting, emerging field of application.

These lecture notes are woven around the subject of Burgers' turbulence/KPZ model of interface growth, a study of the nonlinear parabolic equation with random initial data.

This book contains two of the three lectures given at the Saint-Flour Summer School of Probability Theory during the period August 18 to September 4, 1993.

Levy processes, i.

Kolmogorov equations are second order parabolic equations with a finite or an infinite number of variables.

The summer school on Mathematics inspired by Biology was held at Martina Franca, Apulia, Italy in 1997.