Philosophy of Probability provides a comprehensive introduction to theoretical issues that occupy a central position in disciplines ranging from philosophy of mind and epistemology to cognitive science, decision theory and artificial intelligence. Some contributions shed new light on the standard conceptions of probability (Bayesianism, logical and computational theories); others offer detailed analyses of two important topics in the field of cognitive science: the meaning and the representation of (partial) belief, and the management of uncertainty. The authors of this well-balanced...

It is well known that the normal distribution is the most pleasant, one can even say, an exemplary object in the probability theory. It combines almost all conceivable nice properties that a distribution may ever have: symmetry, stability, indecomposability, a regular tail behavior, etc. Gaussian measures (the distributions of Gaussian random functions), as infinite-dimensional analogues of tht

The Theory Institute in Solar-Terrestrial Physics was held at Boston College 19-26 August 1982. The program consisted of a two-week School followed by the first theory conference in the field. This book is based upon the lectures presented at the School. Several years ago there was a convergence of efforts to promote the role of theory in space plasma physics. Reports from the National Academy of Sciences and NASA advisory committees documented the disciplinary maturity of solar-terrestrial physics and recommended that theorists play a greater role in the continued development of the field....

The impact of (international) armed conflict on international economic law has become a subject of renewed interest since, in particular, the Iran--Iraq War of 1980--1988 and, to a lesser extent, the Falkland/Malvinas War of 1982. The military operations against Iraq during the 1990--1991 Kuwait crisis, and, more recently, the events in the former Yugoslavia have added a new dimension to this part of international law. The subject of this book is the reciprocal effect of armed conflict and international economic relations. The rules on visit, search, diversion and capture, instruments such as...

This volume presents an analysis of the maritime boundary delimitations of the Russian Federation. The focus of this analysis is the relationship between state practice and the rules of public international law applicable to the delimitation of maritime zones between neighboring states. A first part establishes the contents of the law in this field. The main part of the work concerns an analysis of the position of the Russian Federation on the rules of maritime delimitation law and the practice of this state in relation to the delimitation of specific maritime boundaries with neighboring...

Human Rights and Judicial Review: A Comparative Perspective collects, in one volume, a basic description of the most important principles and methods of analysis followed by the major Courts enforcing constitutional Bills of Rights around the world. The Courts include the Supreme Courts of Japan, India, Canada and the United States, the Constitutional Courts of Germany and Italy and the European Court of Human Rights. Each chapter is devoted to an analysis of the substantive jurisprudence developed by these Courts to determine whether a challenged law is constitutional or not, and is...

As K. Nomizu has justly noted K. Nomizu, 56], Differential Geometry ever will be initiating newer and newer aspects of the theory of Lie groups. This monograph is devoted to just some such aspects of Lie groups and Lie algebras. New differential geometric problems came into being in connection with so called subsymmetric spaces, subsymmetries, and mirrors introduced in our works dating back to 1957 L.V. Sabinin, 58a,59a,59b]. In addition, the exploration of mirrors and systems of mirrors is of interest in the case of symmetric spaces. Geometrically, the most rich in content there appeared...

Classicalexamples of moreand more oscillatingreal-valued functions on a domain N ?of R are the functions u (x)=sin(nx)with x=(x, ..., x ) or the so-called n 1 1 n n+1 Rademacherfunctionson]0,1 , u (x)=r (x) = sgn(sin(2 x))(seelater3.1.4). n n They may appear as the gradients?v of minimizing sequences (v ) in some n n n?N variationalproblems. Intheseexamples, thefunctionu convergesinsomesenseto n ameasure u on ? xR, called Young measure. In Functional Analysis formulation, this is the narrow convergence to u of the image of the Lebesgue measure on ? by ? ? (?, u (?)). In the disintegrated form...

In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies. In the process of evolution, systems of this type can pass from one resonance state into another. This fact considerably complicates the investigation of nonlinear oscillations.

In the present monograph, a new approach based on exact uniform estimates of oscillation integrals is proposed. On the basis of this approach, numerous completely new results on the justification of the averaging method and its...

Theory of Stochastic Canonical Equations collects the major results of thirty years of the author's work in the creation of the theory of stochastic canonical equations. It is the first book to completely explore this theory and to provide the necessary tools for dealing with these equations. Included are limit phenomena of sequences of random matrices and the asymptotic properties of the eigenvalues of such matrices. The book is especially interesting since it gives readers a chance to study proofs written by the mathematician who discovered them.
All fifty-nine canonical...