INSTITUTE OF APPLIED MATHEMATICS
Last Updated:
28/08/2017 - 21:10

IAM560 - Stochastic Aspects of Dynamics

Credit: 3(3-0); ECTS: 8.0
Instructor(s): Consent of IAM
Prerequisites: Consent of Instructor(s)

Course Catalogue Description

This course is about densities. In the history of science, the concept of densities emerged only recently as attempts were made to provide unifying descriptions of phenomena that appeared to be statistical in nature. In view of the formal developments of probability and statistics, we have come to associate the appearance of densities with the description of large systems containing inherent elements of uncertainty. The aim of this course is to introduce the students into the theory of Markov operators, ergodic theory, and their applications to study of chaotic dynamical systems.

Course Objectives

Course Learning Outcomes

Tentative (Weekly) Outline

This course is about densities. In the history of science, the concept of densities emerged only recently as attempts were made to provide unifying descriptions of phenomena that appeared to be statistical in nature. In view of the formal developments of probability and statistics, we have come to associate the appearance of densities with the description of large systems containing inherent elements of uncertainty. The aim of this course is to introduce the students into the theory of Markov operators, ergodic theory, and their applications to study of chaotic dynamical systems.

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