Week of Events
A Martingale Approach to the Question of Fiscal Stimulus (Michael Imerman, CGU)
A Martingale Approach to the Question of Fiscal Stimulus (Michael Imerman, CGU)
Joint work with Larry Shepp & Philip Ernst In this paper we develop a mathematical model to address an ongoing politico-economic debate between Democrats and Republicans. Democrats in the US say that government spending can be used to “grease the wheels’ of the economy, create wealth, and increase employment; the Republicans say that government spending […]
Sperner’s lemma: generalizations and applications (Oleg Musin, UT Rio Grande Valley)
Sperner’s lemma: generalizations and applications (Oleg Musin, UT Rio Grande Valley)
The classical Sperner - KKM (Knaster - Kuratowski - Mazurkiewicz) lemma has many applications in combinatorics, algorithms, game theory and mathematical economics. In this talk we consider generalizations of this lemma as well as Gale's colored KKM lemma and Shapley's KKMS theorem. It is shown that spaces and covers can be much more general and […]
The kissing number and related problems (Oleg Musin, University of Texas Rio Grande Valley)
The kissing number and related problems (Oleg Musin, University of Texas Rio Grande Valley)
Abstract: The kissing number problem asks for the maximal number k(n) of equal size nonoverlapping spheres in n-dimensional space that can touch another sphere of the same size. This problem in dimension three was the subject of a famous discussion between Isaac Newton and David Gregory in 1694. In three dimensions the problem was finally […]
GEMS Workshop: Exploring the fascinating world of prime numbers, Part II with Professor Adolfo Rumbos, from Pomona College.
GEMS Workshop: Exploring the fascinating world of prime numbers, Part II with Professor Adolfo Rumbos, from Pomona College.
TOPIC: Exploring the fascinating world of prime numbers, Part II The study of patterns in the sequence of prime numbers has fascinated mathematicians for centuries. Are there formulas that generate prime numbers? Are there patterns in the distribution of prime numbers and the distribution of gaps between consecutive primes? In this series of two workshops, […]