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 | 112 | 2002 |
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 | 65 | 2008 |
On idempotent states on quantum groups U Franz, A Skalski Journal of Algebra 322 (5), 1774-1802, 2009 | 59 | 2009 |
Lévy processes on quantum groups and dual groups U Franz Quantum Independent Increment Processes II: Structure of Quantum Levy …, 2005 | 56 | 2005 |
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 | 54 | 2014 |
Multiplicative monotone convolutions U Franz arXiv preprint math/0503602, 2005 | 50 | 2005 |
Unification of Boolean, monotone, anti-monotone, and tensor independence and Lévy processes U Franz Mathematische Zeitschrift 243, 779-816, 2003 | 49 | 2003 |
Renormalized powers of quantum white noise L Accardi, A Boukas, U Franz Infinite Dimensional Analysis, Quantum Probability and Related Topics 9 (01 …, 2006 | 46 | 2006 |
Monotone and Boolean convolutions for non-compactly supported probability measures U Franz Indiana University mathematics journal, 1151-1185, 2009 | 42 | 2009 |
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 | 40 | 2014 |
Monotone independence is associative U Franz Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 (03 …, 2001 | 40 | 2001 |
Idempotent states and the inner linearity property T Banica, U Franz, A Skalski arXiv preprint arXiv:1112.5018, 2011 | 38 | 2011 |
Boolean convolution of probability measures on the unit circle U Franz arXiv preprint math/0403243, 2004 | 34 | 2004 |
Stochastic processes and operator calculus on quantum groups U Franz, R Schott Springer Science & Business Media, 2013 | 32 | 2013 |
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 | 31 | 2013 |
Autocatalytic genetic networks modeled by piecewise-deterministic Markov processes S Zeiser, U Franz, V Liebscher Journal of mathematical biology 60, 207-246, 2010 | 29 | 2010 |
Monotone increment processes, classical Markov processes, and Loewner chains U Franz, T Hasebe, S Schleißinger arXiv preprint arXiv:1811.02873, 2018 | 27 | 2018 |
Markov property of monotone Lévy processes U Franz, N Muraki Infinite Dimensional Harmonic Analysis III, 37-57, 2005 | 24 | 2005 |
What is stochastic independence? U Franz Non-commutativity, infinite-dimensionality and probability at the crossroads …, 2002 | 24 | 2002 |
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 | 23 | 2009 |