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Franz Uwe


On the tower in Bad Duerkheim

Laboratoire de mathématiques de Besançon

Université de Franche-Comté

16, route de Gray

25 030 Besançon cedex, France

Phone. : + 33 (0)3 81 66 63 17

Fax (Secretary) : + 33 (0)3 81 66 66 23

Email : uwe.franz AT univ-fcomte.fr


  • The notion of independence in noncommutative probability, free, monotone, and boolean independence and convolutions
  • Quantum stochastic processes with independent and stationary increments (quantum Lévy processes)
  • Compact and locally compact quantum groups, probability on quantum groups
  • Dual groups, probability on dual groups
  • Quantum stochastic calculus, Wigner functions, regularity of solutions of quantum stochastic differential equations, and applications to physics (quantum Malliavin calculus)


  • Our functional analysis group obtained an I-Site project for 2017-2020, see NC-Geom-FA.

Previous Events

  • We organised a Fall School on Multipliers in NC analysis and their applications in November 18-22, 2019.
  • Research in Pairs with Anna Kula, Martin Lindsay, and Michael Skeide at the MFO, Oberwolfach, Germany, February 23 - March 8, 2014.
  • Research in Pairs with Rolf Gohm, Adam Skalski, and Reiji Tomatsu at the MFO, Oberwolfach, Germany, 7 - 20 September, 2008.

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