Browsing by Subject "free probability"

Now showing items 1-3 of 3

    • Distributions and von Neumann Algebras over Fock Spaces with Depth-Two Action 
      Mashburn, Jacob W (2022-07-10)
      From the standpoint of non-commutative probability, we investigate operators over Fock spaces whose behavior on one level depends only on two of its neighbors. This behavior can be interpreted using the combinatorics of ...
    • Free Decompositions of R-Diagonal Random Variables 
      Griffin, John (2021-07-05)
      Basic notions for *-noncommutative probability spaces and B-valued *-noncommutative probability spaces, including Voiculescu's free independence and Speicher's cumulants, are recalled. In both the scalar and more generally, ...
    • Property of Rapid Decay and Free Wreath Products 
      Weeks, John Munroe (2022-07-21)
      Compact quantum groups have been objects of study for nearly fifty years as ``perturbations" of groups, ones whose algebras of ``continuous functions" is defined to be non-commutative. The quantum automorphism group ...