Boris Tsirelson - Contributions To Mathematics

Contributions To Mathematics

Tsirelson has made notable contributions to probability theory and functional analysis. They include:

  • Tsirelson's bound, in quantum mechanics, is an inequality, related to the issue of quantum nonlocality.
  • Tsirelson space is an example of a reflexive Banach space in which neither a l p space nor a c0 space can be embedded.
  • The Tsirelson drift, a counterexample in the theory of stochastic differential equations.
  • Gaussian isoperimetric inequality (proved by V. Sudakov, B. Tsirelson, and independently by Ch. Borell), stating that affine halfspaces are the isoperimetric sets for the Gaussian measure.

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