lectures 1-27

LECTURES 1-27

Lectures : Feb 27 + Mar 1 +

Our goal is to find a mixed strategy (probability distribution on possible plays) for Row which maximizes their expected winnings no matter what strategy Col chooses to execute. Let z denote the winnings of Row player using strategy (x1, x2). Then the solution to the following linear program describes the optimal strategy for Row, since based on any strategy Row chooses, Col may choose a pure s...

Lectures

Lectures on Maass Forms Postech , March 25 - 27 , 2007

will be treated; the general theory for congruence subgroups Γ0(N) is similar in philosophy but more involved in details. For detailed treatment of Maass forms in book form, the reader is referred to e.g. Borel [2], Bump [3], Iwaniec [4], and Ye [20]. Even for the simplest case (1.1), there are already big amount of materials in the literature. To explain these materials in such a short time, I...

Lectures on 0/1-Polytopes

1 Lectures at ICMat / UAM

We will consider the inverse conductivity problem or Calderón problem [11] in three dimensions (and higher). The fundamental paper is the work of Sylvester and Uhlmann [23] which gives global uniqueness in the inverse conductivity problem in three dimensions. In this problem we want to find a coefficient in an elliptic differential operator The first step will be to recover the coefficient at t...