Change Of Time And Change Of Measure
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Change Of Time And Change Of Measure
Author: Ole E Barndorff-nielsen
language: en
Publisher: World Scientific Publishing Company
Release Date: 2010-11-04
Change of Time and Change of Measure provides a comprehensive account of two topics that are of particular significance in both theoretical and applied stochastics: random change of time and change of probability law.Random change of time is key to understanding the nature of various stochastic processes, and gives rise to interesting mathematical results and insights of importance for the modeling and interpretation of empirically observed dynamic processes. Change of probability law is a technique for solving central questions in mathematical finance, and also has a considerable role in insurance mathematics, large deviation theory, and other fields.The book comprehensively collects and integrates results from a number of scattered sources in the literature and discusses the importance of the results relative to the existing literature, particularly with regard to mathematical finance. It is invaluable as a textbook for graduate-level courses and students or a handy reference for researchers and practitioners in financial mathematics and econometrics.
Time for Aristotle
What is the relation between time and change? Does time depend on the mind? Is the present always the same or is it always different? Aristotle tackles these questions in the Physics, and Time for Aristotle is the first book in English devoted to this discussion. Aristotle claims that time is not a kind of change, but that it is something dependent on change; he defines it as a kind of 'number of change'. Ursula Coope argues that what this means is that time is a kind of order (not, as is commonly supposed, a kind of measure). It is universal order within which all changes are related to each other. This interpretation enables Coope to explain two puzzling claims that Aristotle makes: that the now is like a moving thing, and that time depends for its existence on the mind. Brilliantly lucid in its explanation of this challenging section of the Physics, Time for Aristotle shows his discussion to be of enduring philosophical interest.
Aristotle's Physics, Books III and IV
A new translation of Aristotle's classic work on the natural sciences.