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Classification of Idempotent States on the compact quantum groups U_q(2), SU_q(2), and SO_q(3)

Uwe Franz , Adam Skalski , Reiji Tomatsu
2009
Pré-publication, Document de travail hal-00470204v1

Schoenberg Correspondence for $k$-(super)Positive Maps on Matrix Algebras

B. V. Rajarama Bhat , Purbayan Chakraborty , Uwe Franz
Positivity, 2023, 27 (4), pp.51. ⟨10.1007/s11117-023-01003-6⟩
Article dans une revue hal-03959683v1

Hypercontractivity of heat semigroups on free quantum groups

Uwe Franz , Guixiang Hong , Francois Lemeux , Michael Ulrich , Haonan Zhang
Journal of Operator Theory, 2017, 77 (1), pp.61-76. ⟨10.7900/jot.2015nov13.2126⟩
Article dans une revue hal-03215240v1

A New Characterisation of Idempotent States on Finite and Compact Quantum Groups

Uwe Franz , Adam Skalski
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2009, 347, pp.991-996. ⟨10.1016/j.crma.2009.06.015⟩
Article dans une revue hal-00470203v1

Multiplicative monotone convolutions

Uwe Franz
2005
Pré-publication, Document de travail hal-00470211v1

Lévy Processes on $U_q(g)$ as Infinitely Divisible Representations

V. K. Dobrev , H. -D. Doebner , Uwe Franz , René Schott
1999
Pré-publication, Document de travail hal-00470219v1
Image document

BROWNIAN MOTION ON INVOLUTIVE BRAIDED SPACES

Uwe Franz , Michael Schürmann , Monika Varšo
Revista de la Union Matematica Argentina, 2023, 65 (2), pp.495-532. ⟨10.33044/revuma.2574⟩
Article dans une revue hal-03664273v1
Image document

Lévy processes on the Lorentz-Lie algebra

Ameur Dhahri , Uwe Franz
International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics, QP38, Noboru Watanabe, Si Si, Oct 2017, Tokyo, Japan
Communication dans un congrès hal-03103901v1

Higher order extension of Löwner’s theory: Operator $k$-tone functions

Uwe Franz , Fumio Hiai , Éric Ricard
Transactions of the American Mathematical Society, 2014, 366 (6), pp.3043 - 3074. ⟨10.1090/S0002-9947-2014-05942-4⟩
Article dans une revue hal-01662161v1

Convolution, subordination and characterization problems in noncommutative probability

Wiktor Ejsmont , Uwe Franz , Kamil Szpojankowski
Indiana University Mathematics Journal, 2017, 66 (1), pp.237-257. ⟨10.1512/iumj.2017.66.5971⟩
Article dans une revue hal-03201727v1

Invariant Markov semigroups on quantum homogeneous spaces

Biswarup Das , Uwe Franz , Xumin Wang
Journal of Noncommutative Geometry, In press
Article dans une revue hal-03215227v1

Connectedness and Gaussian Parts for Compact Quantum Groups

Uwe Franz , Amaury Freslon , Adam Skalski
Journal of Geometry and Physics, 2023, 184, ⟨10.1016/j.geomphys.2022.104710⟩
Article dans une revue hal-03616091v1

Autocatalytic genetic networks modeled by piecewise-deterministic Markov processes

Stefan Zeiser , Uwe Franz , Volkmar Liebscher
Journal of Mathematical Biology, 2010, 60 (2), pp.207-246. ⟨10.1007/s00285-009-0264-9⟩
Article dans une revue istex hal-00470252v1

Lévy–Khintchine decompositions for generating functionals on algebras associated to universal compact quantum groups

Biswarup Das , Uwe Franz , Anna Kula , Adam Skalski
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2018, 21 (03), pp.1850017. ⟨10.1142/S0219025718500170⟩
Article dans une revue hal-03017505v1

Second cohomology groups of the Hopf$^*$-algebras associated to universal unitary quantum groups

Biswarup Das , Uwe Franz , Anna Kula , Adam Skalski
Annales de l'Institut Fourier, In press
Article dans une revue hal-03201692v1

Approximation of quantum Levy processes by quantum random walks

Uwe Franz , Adam Skalski
Proc. Indian Acad. Sci. Math. Sci., 2008, 118 (2), pp.281-288
Article dans une revue hal-00470210v1

Boolean convolution of probability measures on the unit circle

Uwe Franz
2006
Pré-publication, Document de travail hal-00470213v1

A free resolution for the free unitary quantum group

Isabelle Baraquin , Uwe Franz , Malte Gerhold , Anna Kula , Mariusz Tobolski
2023
Pré-publication, Document de travail hal-04208113v1

De Finetti Theorems for the unitary dual group

Isabelle Baraquin , Guillaume Cébron , Uwe Franz , Laura Maassen , Moritz Weber
Symmetry, Integrability and Geometry : Methods and Applications, 2022, ⟨10.3842/SIGMA.2022.067⟩
Article dans une revue hal-03616090v1

Noncommutative Mathematics for Quantum Systems

Uwe Franz , Adam Skalski
Cambridge University Press, 2016, ⟨10.1017/CBO9781316562857⟩
Ouvrages hal-03017507v1

Stochastic Analysis for Obtuse Random Walks

Uwe Franz , Tarek Hamdi
Journal of Theoretical Probability, 2015, 28 (2), pp.619-649. ⟨10.1007/s10959-013-0522-z⟩
Article dans une revue hal-03017510v1

Non-Gaussian Malliavin Calculus on Real Lie Algebras

Uwe Franz , Nicolas Privault , René Schott
Journal of Functional Analysis, 2005, 218 (2), pp.347--371. ⟨10.1016/j.jfa.2004.02.004⟩
Article dans une revue istex inria-00000971v1

Free Levy Processes on Dual Groups

Uwe Franz
2002
Pré-publication, Document de travail hal-00470216v1

Non-Gaussian Malliavin calculus on real Lie algebras

Uwe Franz , Nicolas Privault , René Schott
Journal of Functional Analysis, 2005, 218 (2), pp.347-371. ⟨10.1016/j.jfa.2004.02.004⟩
Article dans une revue istex hal-03017511v1

Beurling-Fourier algebras of compact quantum groups: characters and finite dimensional representations

Uwe Franz , Hun Hee Lee
Indiana University Mathematics Journal, 2021, 70 (2), pp.605-637. ⟨10.1512/iumj.2021.70.8405⟩
Article dans une revue hal-03526482v1

On idempotent states on quantum groups

Uwe Franz , Adam Skalski
Journal of Algebra, 2009, 322 (5), pp.1774-1802. ⟨10.1016/j.jalgebra.2009.05.037⟩
Article dans une revue hal-00470205v1

Malliavin Calculus and Skorohod Integration for Quantum Stochastic Processes

Uwe Franz , Remi Leandre , Rene Schott
2000
Pré-publication, Document de travail hal-00470218v1

Integration over the quantum diagonal subgroup and associated Fourier-like algebras

Uwe Franz , Hun Hee Lee , Adam Skalski
International Journal of Mathematics, 2016, 27 (09), pp.1650073. ⟨10.1142/S0129167X16500737⟩
Article dans une revue hal-03017509v1
Image document

THE RFD AND KAC QUOTIENTS OF THE HOPF * -ALGEBRAS OF UNIVERSAL ORTHOGONAL QUANTUM GROUPS

Biswarup Das , Uwe Franz , Adam Skalski
Annales Mathématiques Blaise Pascal, In press
Article dans une revue hal-03031501v1

On the Lévy-Khinchin decomposition of generating functionals

Uwe Franz , Malte Gerhold , Andreas Thom
Communications on Stochastic Analysis, 2015, 9 (4), ⟨10.31390/cosa.9.4.06⟩
Article dans une revue hal-03115471v1