Michael Voit

Publications since 2001

• Margit Rösler, Michael Voit, Elementary symmetric polynomials and martingales for Heckman-Opdam processes, To appear in Contemp. Math., arXiv:2108.03228.

• Michael Voit, Jeannette H. C. Woerner, The differential equations associated with Calogero-Moser-Sutherland particle models in the freezing regime, Hokkaido Math. J. 51 (2022), 153–174.

• Michael Voit, Jeannette H. C. Woerner, Limit theorems for Bessel and Dunkl processes of large dimensions and free convolutions, Stochastic Process. Appl. 143 (2022), 207–253.

• Margit Rösler, Michael Voit, Sonine formulas and intertwining operators in Dunkl theory, Int. Math. Res. Not. IMRN 2021, no. 17, 13202–13230.

• Kilian Hermann, Michael Voit, Limit theorems for circular Jacobi random matrix ensembles with large parameters Tunis. J. Math. 3 (2021), no. 4, 843–860.

• Sergio Andraus, Kilian Hermann, Michael Voit, Limit theorems and soft edge of freezing random matrix models via dual orthogonal polynomials. J. Math. Phys. 62 (2021), no. 8, Paper No. 083303, 26 pp..

• Miklós Kornyik, Kilian Hermann, Michael Voit, Some martingales associated with multivariate Bessel processes. Acta Math. Hungar. 163 (2021), no. 1, 194–212.

• Michael Voit, Jeannette Woerner, Functional central limit theorems for multivariate Bessel processes in the freezing regime. Stoch. Anal. Appl. 39 (2021), no. 1, 136–156.

• Margit Rösler, Michael Voit, Positive intertwiners for Bessel functions of type B. Proc. Amer. Math. Soc. 149 (2021), no. 3, 1151–1163.

• Merdan Artykov, Michael Voit, Central limit theorems for random walks associated with hypergeometric functions of type BC. Colloq. Math. 163 (2021), no. 1, 89–112.

• Michael Voit, Some martingales associated with multivariate Jacobi processes and Aomoto's Selberg integral. Indag. Math. (N.S.) 31 (2020), no. 3, 398–410.

• Sergio Andraus, Michael Voit, Central limit theorems for multivariate Bessel processes in the freezing regime II: the covariance matrices of the limit. J. Approx. Theory 246 (2019), 65–84.

• Sergio Andraus, Michael Voit, Limit theorems for multivariate Bessel processes in the freezing regime, Stoch. Proc. Appl. 129 (2019), no. 11, 4771–4790.

• Michael Voit, Continuous Association Schemes and Hypergroups, J. Austral. Math. Soc. 106 (2019), no. 3, 361–426.

• Michael Voit, Central limit theorems for multivariate Bessel processes in the freezing regime. J. Approx. Theory 239 (2019), 210–231.

• Margit Rösler, Michael Voit, Beta distributions and Sonine integrals for Bessel functions on symmetric cones. Stud. Appl. Math. 141 (2018), 474–500.

• Michael Voit, Dispersion and limit theorems for random walks associated with hypergeometric functions of type BC. J. Theoret. Probab. 30 (2017), 1130–1169, arXiv:1506.04925.

• Michael Voit, Generalized commutative association schemes, hypergroups, and positive product formulas. Commun. Stoch. Anal. 10 (2016), 561–585.

• Michael Voit, Sine functions on compact commutative hypergroups. Arch. Math. 107 (2016), 259–263.

• Margit Rösler, Michael Voit, A multivariate version of the disk convolution. Math. Anal. Appl. 435 (2016), 701–717, arXiv:1504.03868.

• Margit Rösler, Michael Voit, Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC. Trans. Amer. Math. Soc. 368 (2016), 6005–6032. arXiv:1402.5793.

• Margit Rösler, Michael Voit, A central limit theorem for random walks on the dual of a compact Grassmannian. SIGMA, Symmetry Integrability Geom. Methods Appl. 11 (2015), Paper 013, 18 pp., arXiv:1409.4213.

• Michael Voit, Product formulas for a two-parameter family of Heckman-Opdam hypergeometric functions of type BC. J. Lie Theory 25 (2015), 009-036, arXiv:1310.3075.

• Margit Rösler, Michael Voit, Olshanski spherical functions for infinite dimensional motion groups of fixed rank. J. Lie Theory 23, No. 4, 899-920 (2013), arXiv:1210.1351.

• Margit Rösler, Tom Koornwinder, Michael Voit, Limit transition between hypergeometric functions of type BC and type A. Compos. Math. 149, No. 8, 1381-1400 (2013), arXiv:1207.0487.

• Margit Rösler, Michael Voit, Limit transition between hypergeometric functions of type BC and type A. Compos. Math. 149, No. 8, 1381-1400 (2013), arXiv:1207.0487.

• Michael Voit, Uniform oscillatory behavior of spherical functions of $GL_n/U_n$ at the identity and a central limit theorem. Preprint 2012, arXiv:1205.4866.

• Michael Voit, Central limit theorems for hyperbolic spaces and Jacobi processes on $[0,\infty[$. Monatsh. Math. 169, No. 3-4, 441-468 (2013), arXiv:1201.3490.
• Michael Voit, Central limit theorems for radial random walks on $p \times q$ matrices for $p \to \infty$. Adv. Pure Appl. Math. 3, No. 2, 231-246 (2012), arXiv:1201.3816.

• Michael Voit, Multidimensional Heisenberg convolutions and product formulas for multivariate Laguerre polynomials. Colloq. Math. 123, No. 2, 149-179 (2011). arXiv:1201.3776

• Margit Rösler, Michael Voit, Limit theorems for radial random walks on $p\times q$-matrices as $p$ tends to infinity. Math. Nachr. 284, No. 1, 87-104 (2011).

• Michael Voit, Bessel convolutions on matrix cones: Algebraic properties and random walks. J. Theor. Probab. 22, No. 3, 741-771 (2009).

• Michael Voit, Limit theorems for radial random walks on homogeneous spaces with growing dimensions. In: J. Hilgert et al., Proc. Conf. on infinite dimensional harmonic analysis IV. On the interplay between representation theory, random matrices, special functions, and probability, Tokyo, Japan, 2007. World Scientific. 308-326 (2009).

• Michael Voit, Hypergroups on two tori. Semigroup Forum 76, No. 2, 192-203 (2008).
• Margit Rösler, Michael Voit, A limit relation for Dunkl-Bessel functions of type A and B. SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 083, 9 p., electronic only (2008). arXiv:0812.0739.
• Margit Rösler, Michael Voit, Dunkl theory, convolution algebras, and related Markov Processes. In: P. Graczyk et al.: Harmonic and Stochastic Analysis of Dunkl Processes. 1--113, Hermann, Paris 2008.
• Margit Rösler, Michael Voit, SU(d)-biinvariant random walks on SL(d,C) and their Euclidean counterparts. Acta Appl. Math. 90, 179-195 (2006).
• Margit Rösler, Michael Voit, Deformations of convolution semigroups on commutative hypergroups. In: H. Heyer et al., Infinite dimensional harmonic analysis III. Proc. Conf., Tübingen, 2003. World Scientific. 249-264 (2005).
• Michael Voit, Moments of Brownian motions on Lie groups. Monatsh. Math. 145, 247-260 (2005).
• Margit Rösler, Michael Voit, Positivity of Dunkl's intertwining operator via the trigonometric setting. Int. Math. Res. Not. 2004, No. 63, 3379-3389 (2004).
• Michael Voit, A Levy characterization for Gaussian processes on matrix groups. Publ. Math. 63, No. 1-2, 115-132 (2003).
• Michael Voit, A product formula for orthogonal polynomials associated with infinite distance-transitive graphs. J. Approximation Theory 120, No.2, 337-354 (2003).
• Marc Lindlbauer, Michael Voit, Limit theorems for isotropic random walks on triangle buildings. J. Aust. Math. Soc. 73, No.3, 301-333 (2002).

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