Table of Contents
Table of Contents
SL1801: Dimension, Entropy, Large deviations.
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- Speaker: Prof. Manjunath Krishnapur (IISc Bangalore)
- Abstract: We introduce the notion of Minkowski and Hausdorff dimension, which may be thought of as ways to measure the size of a metric space. This generalizes the usual notion of dimension of a vector space or of a manifold, and can take fractional values. For example, the standard middle-thirds Cantor set has dimension \(\log_{3}{2}\). We then show how it arises in a natural question of computing probabilities of unlikely events in probability. Entropy is a related concept lurking in the background. We shall mention it, but not make it any less confusing than it usually is.
- Pre-requisites: The talk should be accessible to those who know metric spaces and basic probability.
- Date and Time: Sunday, 28th October 2018, 3:00 PM - 5:00 PM
- Venue: 2nd Floor Auditorium, Academic Building