The $\lambda$-invariant is an invariant of an imaginary
quadratic field that measures the growth of class numbers in
cyclotomic towers over the field. It also measures the number of
zeroes of an associated $p$-adic L-function. In this talk, I
will...
The complexity of simple stochastic games (SSGs) has been open
since they were defined by Condon in 1992. Such a game is played by
two players, Min and Max, on a graph consisting of max nodes, min
nodes, and average nodes. The goal of Max is to...
The basic ingredients of Darwinian evolution, selection and
mutation, are very well described by simple mathematical models. In
1973, John Maynard Smith linked game theory with evolutionary
processes through the concept of evolutionarily stable...
Recently there has been much interest in polynomial threshold
functions in the context of learning theory, structural results and
pseudorandomness. A crucial ingredient in these works is the
understanding of the distribution of low-degree...
The Gaussian central limit theorem says that for a wide class of
stochastic systems, the bell curve (Gaussian distribution)
describes the statistics for random fluctuations of important
observables. In this...
