Zhiyi Zhang, UNC Charlotte
Title: Entropy Talk 1: Khinchin’s 4th Axiom Revisited
Abstract: Shannon’s information entropy is great. But do there exist any other entropies that are as good or better? The answer is YES. In this seminar, I will show you a few of such entropies and tell you how I found them.
Isaac Sonin, UNC Charlotte
Title: Locks-Bombs-Testing Model
Abstract: I will discuss a very general Defense/Attack resource allocation model, where the Defender has some number of “locks” to protect n vulnerable boxes (sites), and the Attacker is trying to destroy these boxes, having some number of “bombs”, which can be placed into the boxes. Similar models were studied in game theory – e.g. (Colonel) Blotto games, but our model has a feature that is absent from the previous literature. Here, the Attacker tests the vulnerability of all sites before allocating her resources. These tests are not perfect and a test can give a positive result for a box without a lock and a negative result for a box with a lock. I will describe the full solution for several special cases and will discuss a possible approach to a solution for the general case. The only prerequisite for this talk is knowledge of the Total Probability formula and Bayes’ formula.
Stanislav Molchanov, UNC Charlotte
Title: Random geometric progressions and diffusions on affine groups
Michael Grabchak, UNC Charlotte
Title: Does Molchanov’s transform preserve infinite divisibility?
Stanislav Molchanov, UNC Charlotte
Title: An Introduction to Markov Dynamics
Stanislav Molchanov, UNC Charlotte
Title: Random Permutations and Dickman’s Law Part 3
Stanislav Molchanov, UNC Charlotte
Title: Random Permutations and Dickman’s Law Part 2
Stanislav Molchanov, UNC Charlotte
Title: Random Permutations and Dickman’s Law
Isaac Sonin, UNC Charlotte
Title: Nonhomogeneous Markov Chains and O-1 Laws
Stanislav Molchanov, UNC Charlotte
Title: Several problems on infinitely divisible distributions