Uwe Franz
Uwe Franz
Mathematics professor, University of Bourgogne Franche-Comte
Adresse e-mail validée de univ-fcomte.fr - Page d'accueil
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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
952002
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
512008
Lévy processes on quantum groups and dual groups
U Franz
Quantum independent increment processes II, 161-257, 2006
502006
On idempotent states on quantum groups
U Franz, A Skalski
Journal of Algebra 322 (5), 1774-1802, 2009
452009
Unification of boolean, monotone, anti-monotone, and tensor independence and Lévy processes
U Franz
Mathematische Zeitschrift 243 (4), 779-816, 2003
432003
Renormalized powers of quantum white noise
L Accardi, A Boukas, U Franz
Infinite Dimensional Analysis, Quantum Probability and Related Topics 9 (01 …, 2006
422006
Multiplicative monotone convolutions
U Franz
arXiv preprint math/0503602, 2005
402005
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
392014
Monotone and Boolean convolutions for non-compactly supported probability measures
U Franz
Indiana University mathematics journal, 1151-1185, 2009
382009
Monotone independence is associative
U Franz
Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 (03 …, 2001
372001
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
332014
Stochastic processes and operator calculus on quantum groups
U Franz, R Schott
Springer Science & Business Media, 2013
322013
Quantum independent increment processes I: From classical probability to quantum stochastic calculus
D Applebaum, BVR Bhat, J Kustermans, JM Lindsay
Springer, 2005
32*2005
Boolean convolution of probability measures on the unit circle
U Franz
arXiv preprint math/0403243, 2004
302004
Idempotent states and the inner linearity property
T Banica, U Franz, A Skalski
arXiv preprint arXiv:1112.5018, 2011
292011
Idempotent states on compact quantum groups and their classification on U_q (2), SU_q (2), and SO_q (3)
U Franz, A Skalski, R Tomatsu
arXiv preprint arXiv:0903.2363, 2009
272009
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
242009
Autocatalytic genetic networks modeled by piecewise-deterministic Markov processes
S Zeiser, U Franz, V Liebscher
Journal of mathematical biology 60 (2), 207, 2010
232010
On ergodic properties of convolution operators associated with compact quantum groups
U Franz, A Skalski
arXiv preprint arXiv:0802.1256, 2008
222008
Quantum independent increment processes II
OE Barndorff-Nielsen, U Franz, R Gohm, B Kümmerer, S Thorbjørnsen
Lecture Notes in Math 1866, 2006
222006
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