Home » Structural Aspects in the Theory of Probability: A Primer in Probabilities on Algebraic-Topological Structures by Herbert Heyer
Structural Aspects in the Theory of Probability: A Primer in Probabilities on Algebraic-Topological Structures Herbert Heyer

Structural Aspects in the Theory of Probability: A Primer in Probabilities on Algebraic-Topological Structures

Herbert Heyer

Published August 1st 2004
ISBN : 9789812389374
Hardcover
388 pages
Enter the sum

 About the Book 

This book focuses on the algebraic-topological aspects of probability theory, leading to a wider and deeper understanding of basic theorems, such as those on the structure of continuous convolution semigroups and the corresponding processes withMoreThis book focuses on the algebraic-topological aspects of probability theory, leading to a wider and deeper understanding of basic theorems, such as those on the structure of continuous convolution semigroups and the corresponding processes with independent increments. The method applied within the setting of Banach spaces and of locally compact Abelian groups is that of the Fourier transform. This analytic tool along with the relevant parts of harmonic analysis makes it possible to study certain properties of stochastic processes in dependence of the algebraic-topological structure of their state spaces. Graduate students, lecturers and researchers may use the book as a primer on the theory of probability measures on groups and related structures.