Mathematical Sciences: Isoperimetric Inequalities and LowerBounds for Stochastic Processes

Talagrand教授的研究将在三个主要领域。 他将研究伯努利过程的下界， 证明一个猜想，涉及一个规范，其中包括几何 两个Banach空间 他将继续他的研究在等周 不等式 他将研究的概念类型和cotype在 Banach空间 这项研究是在两个领域的接口：概率 理论和几何的无限维空间（巴拿赫 空格）。 概率思想在理解Banach中是有用的 空间，反过来，对这些空间的理解导致了 纯粹概率中的新的有趣的问题。

Professor Talagrand's research will be in three main areas. He will study lower bounds for Bernoulli processes with a view to proving a conjecture involving a norm incorporating the geometry of two Banach spaces. He will continue his research in isoperimetric inequalities. He will study the notion of type and cotype in Banach spaces. This research is at the interface of two fields: probability theory and the geometry of infinite dimensional spaces (Banach spaces). Probabilistic ideas are useful in understanding Banach spaces and conversely the quest to understand these spaces leads to new and interesting questions in pure probability.