Free Probability.pdf

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Preview of Free Probability
🔗 Source: math.uni-sb.de
📊 Size: 1.49 MB
📄 Pages: 144 pages
⬇️ Downloads: 291

Summary

Free probability theory investigates operators on Hilbert spaces by looking at moments of those operators, with methods inspired by classical probability theory. A non-commutative probability space is defined as a unital algebra A with a unital linear functional ϕ: A → C. Moments of non-commutative random variables a1, ..., an ∈ A are expressions of the form ϕ(ai(1) · · · ai(k)). If two von Neumann algebras A and B have the same moments for their selfadjoint generators, then A and B are isomorphic.

Description

Free probability theory investigates operators on Hilbert spaces by looking at moments of those operators, with methods inspired by classical probability...

Technical Information

  • File Format: PDF
  • File Size: 1.49 MB
  • Pages: 144
  • Language: EN
  • Total Downloads: 291
  • Last Updated: 2 weeks ago

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This PDF document about Free Probability provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into Free Probability.

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