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Stochastic Differential Equations on Manifolds
The aims of this book, originally published in 1982, are to give an understanding of the basic ideas concerning stochastic differential equations on manifolds and their solution flows, to examine the properties of Brownian motion on Riemannian manifolds when it is constructed using the stochiastic development and to indicate some of the uses of the theory. The author has included two appendices which summarise the manifold theory and differential geometry needed to follow the development; coordinate-free notation is used throughout. Moreover, the stochiastic integrals used are those which can be obtained from limits of the Riemann sums, thereby avoiding much of the technicalities of the general theory of processes and allowing the reader to get a quick grasp of the fundamental ideas of stochastic integration as they are needed for a variety of applications.
His Way: a Biography of Robert Muldoon
His Way is the only authorised biography of New Zealand prime minister Robert Muldoon - one of the dominant political figures of the last half-century in that country. His Way was based on many hours of conversation with Muldoon himself as well as colleagues, friends, and family, and wide access to the prime minister's official and private papers and diaries. Leading political biographer Barry Gustafson shows Muldoon is shown as a champion of the ordinary people whose vision over time became anachronistic and inflexible.
Geometry and Invariance in Stochastic Dynamics
This book grew out of the Random Transformations and Invariance in Stochastic Dynamics conference held in Verona from the 25th to the 28th of March 2019 in honour of Sergio Albeverio. It presents the new area of studies concerning invariance and symmetry properties of finite and infinite dimensional stochastic differential equations.This area constitutes a natural, much needed, extension of the theory of classical ordinary and partial differential equations, where the reduction theory based on symmetry and invariance of such classical equations has historically proved to be very important both for theoretical and numerical studies and has given rise to important applications. The purpose of ...
From Topology to Computation: Proceedings of the Smalefest
An extraordinary mathematical conference was held 5-9 August 1990 at the University of California at Berkeley: From Topology to Computation: Unity and Diversity in the Mathematical Sciences An International Research Conference in Honor of Stephen Smale's 60th Birthday The topics of the conference were some of the fields in which Smale has worked: • Differential Topology • Mathematical Economics • Dynamical Systems • Theory of Computation • Nonlinear Functional Analysis • Physical and Biological Applications This book comprises the proceedings of that conference. The goal of the conference was to gather in a single meeting mathemati cians working in the many fields to which Smale ...
Interest Rate Models: an Infinite Dimensional Stochastic Analysis Perspective
This book presents the mathematical issues that arise in modeling the interest rate term structure by casting the interest-rate models as stochastic evolution equations in infinite dimensions. The text includes a crash course on interest rates, a self-contained introduction to infinite dimensional stochastic analysis, and recent results in interest rate theory. From the reviews: "A wonderful book. The authors present some cutting-edge math." --WWW.RISKBOOK.COM
Colloquium De Giorgi 2010-2012
Since 2001 the Scuola Normale Superiore di Pisa has organized the "Colloquio De Giorgi", a series of colloquium talks named after Ennio De Giorgi. The Colloquio is addressed to a general mathematical audience, and especially meant to attract graduate students and advanced undergraduate students. The lectures are intended to be not too technical, in fields of wide interest. They must provide an overview of the general topic, possibly in a historical perspective, together with a description of more recent progress. The idea of collecting the materials from these lectures and publishing them in annual volumes came out recently, as a recognition of their intrinsic mathematical interest, and also with the aim of preserving memory of these events.
Te Hāhi Mihinare | The Māori Anglican Church
The arrival of the Anglican Church with its claims to religious power was soon followed by British imperial claims to temporal power. Political, legal, economic and social institutions were designed to be the bastions of control across the British Empire. However, they were also places of contestation and engagement at a local and national level, and this was true of New Zealand. Māori culture was constantly capable of adaptation in the face of changing contexts. This ground-breaking book explores the emergence of Te Hāhi Mihinare – the Māori Anglican Church. Anglicanism, brought to New Zealand by English missionaries in 1814, was made widely known by Māori evangelists, as iwi adapted ...
Nonsense
This collection of poetry includes poems of startling virtuosity and disconcerting humor. These poems are far from 'nonsense', however, as they repeatedly offer a serious message or emotional charge.
The Collected Papers of Stephen Smale
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.
