Stochastics

1 Some basic neurophysiology 4 The neuron 1.

The essays in this volume were presented to Professor Isamu Yamada in honor of his seventy-third birthday.

Control theory can be roughly classified as deterministic or stochastic.

The use of probabilistic methods in the biological sciences has been so well established by now that mathematical biology is regarded by many as a distinct dis- cipline with its own repertoire of techniques.

Over the past three years I have grown accustomed to the puzzled look which appears on people's faces when they hear that I am a mathematician who studies sleep.

In seminars and graduate level courses I have had several opportunities to discuss modeling and analysis of time series with economists and economic graduate students during the past several years.

This Lecture Note deals with asymptotic properties, i.

3D CAD is one of the most important technologies of the 90sfor the engineering and manufacturing world.

This book provides a rigorous but elementary introduction to the theory of Markov Processes on a countable state space.

Many mathematical assumptions on which classical derivative pricing methods are based have come under scrutiny in recent years.

Most financial and investment decisions are based on considerations of possible future changes and require forecasts on the evolution of the financial world.

Asymptotic analysis of stochastic stock price models is the central topic of the present volume.

Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces.

The book deals with the random perturbation of PDEs which lack well-posedness, mainly because of their non-uniqueness, in some cases because of blow-up.

This richly illustrated book is an exploration of how chance and risk, on the one hand, and meaning or significance on the other, compete for the limelight in art, in philosophy, and in science.

Discovered in the seventies, Black-Scholes formula continues to play a central role in Mathematical Finance.

It was the end of 2005 when our employer, a major European Investment Bank, gave our team the mandate to compute in an accurate way the counterparty credit exposure arising from exotic derivatives traded by the ?

For this printing of R.

Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics.

Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology.

Stochastic control theory is a relatively young branch of mathematics.

In modern financial practice, asset prices are modelled by means of stochastic processes, and continuous-time stochastic calculus thus plays a central role in financial modelling.

Objectives and Audience In the past three decades, we have witnessed the phenomenal growth in the trading of  financial derivatives and structured products in the financial markets around the globe and the surge in research on derivative pricing theory.

Changing interest rates constitute one of the major risk sources for banks, insurance companies, and other financial institutions.

This book gives a self-contained introduction to the subject of asymptotic approximation for multivariate integrals for both mathematicians and applied scientists.

The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory.

The book concerns limit theorems and laws of large numbersfor scaled unionsof independent identically distributedrandom sets.

This volume represents a part of the main result obtained bya group of French probabilists, together with thecontributions of a number of colleagues, mainly from the USAand Japan.

In three chapters on Exponential Martingales, BMO-martingales, and Exponential of BMO, this book explains in detail the beautiful properties of continuous exponential martingales that play an essential role in various questions concerning the absolute continuity of probability laws of stochastic processes.

White Noise Calculus is a distribution theory on Gaussian space, proposed by T.

The 2-volume book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research.

This book is composed of two texts, by R.

These proceedings of the fifth joint meeting of Japanese and Soviet probabilists are a sequel to Lecture Notes in Mathematics Vols.

The theory of Dirichlet forms has witnessed recently somevery important developments both in theoretical foundationsand in applications (stochasticprocesses, quantum fieldtheory, composite materials,.

This book contains work-outs of the notes of three 15-hour courses of lectures which constitute surveys on the concerned topics given at the St.

In this volume of original research papers, the main topics discussed relate to the asymptotic windings of planar Brownian motion, structure equations, closure properties of stochastic integrals.

This book deals with the theory of one- and two-parameter martingale Hardy spaces and their use in Fourier analysis, and gives a summary of the latest results in this field.

In recent years products based on ?

This second BiBoS volume surveys recent developments in the theory of stochastic processes.

The subject of this book is a new direction in the field ofprobability theory and mathematical statistics which can becalled "e;stability theory"e;: it deals with evaluating theeffects of perturbing initial probabilistic models andembraces quite varied subtopics: limit theorems, queueingmodels, statistical inference, probability metrics, etc.

Stochastic processes with independent increments on a groupare generalized to the concept of "e;white noise"e; on a Hopfalgebra or bialgebra.