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Uwe Franz
Uwe Franz
University of Bourgogne Franche-Comte
Verified email at univ-fcomte.fr - Homepage
Title
Cited by
Cited by
Year
Renormalized Squares of White Noise and Other Non-Gaussian Noises as Lévy Processes on Real Lie Algebras
L Accardi, U Franz, M Skeide
Communications in mathematical physics 228 (1), 123-150, 2002
1132002
Simulation of genetic networks modelled by piecewise deterministic Markov processes
S Zeiser, U Franz, O Wittich, V Liebscher
IET systems biology 2 (3), 113-135, 2008
652008
On idempotent states on quantum groups
U Franz, A Skalski
Journal of Algebra 322 (5), 1774-1802, 2009
592009
Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory
F Cipriani, U Franz, A Kula
Journal of Functional Analysis 266 (5), 2789-2844, 2014
562014
Lévy processes on quantum groups and dual groups
U Franz
Quantum Independent Increment Processes II: Structure of Quantum Levy …, 2005
562005
Multiplicative monotone convolutions
U Franz
arXiv preprint math/0503602, 2005
512005
Unification of Boolean, monotone, anti-monotone, and tensor independence and Lévy processes
U Franz
Mathematische Zeitschrift 243, 779-816, 2003
492003
Renormalized powers of quantum white noise
L Accardi, A Boukas, U Franz
Infinite Dimensional Analysis, Quantum Probability and Related Topics 9 (01 …, 2006
462006
Monotone and Boolean convolutions for non-compactly supported probability measures
U Franz
Indiana University mathematics journal, 1151-1185, 2009
422009
Higher order extension of Löwner’s theory: operator 𝑘-tone functions
U Franz, F Hiai, É Ricard
Transactions of the American Mathematical Society 366 (6), 3043-3074, 2014
402014
Monotone independence is associative
U Franz
Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 (03 …, 2001
402001
Idempotent states and the inner linearity property
T Banica, U Franz, A Skalski
arXiv preprint arXiv:1112.5018, 2011
382011
Boolean convolution of probability measures on the unit circle
U Franz
arXiv preprint math/0403243, 2004
342004
Stochastic processes and operator calculus on quantum groups
U Franz, R Schott
Springer Science & Business Media, 2013
322013
Idempotent states on compact quantum groups and their classification on , , and
U Franz, A Skalski, R Tomatsu
Journal of Noncommutative Geometry 7 (1), 221-254, 2013
322013
Autocatalytic genetic networks modeled by piecewise-deterministic Markov processes
S Zeiser, U Franz, V Liebscher
Journal of mathematical biology 60, 207-246, 2010
292010
Monotone increment processes, classical Markov processes, and Loewner chains
U Franz, T Hasebe, S Schleißinger
arXiv preprint arXiv:1811.02873, 2018
272018
Markov property of monotone Lévy processes
U Franz, N Muraki
Infinite Dimensional Harmonic Analysis III, 37-57, 2005
242005
What is stochastic independence?
U Franz
Non-commutativity, infinite-dimensionality and probability at the crossroads …, 2002
242002
A new characterisation of idempotent states on finite and compact quantum groups
U Franz, A Skalski
Comptes Rendus Mathematique 347 (17-18), 991-996, 2009
232009
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