\(\text{SU}(d)\)-biinvariant random walks on \(\text{SL}(d,\mathbb C)\) and their Euclidean counterparts

DOI10.1007/s10440-006-9035-4zbMath1109.43001arXivmath/0309361OpenAlexW2099072236MaRDI QIDQ2498378

Margit Rösler, Michael Voit

Publication date: 16 August 2006

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309361

zbMATH Keywords

semisimple Lie groupsrandom walklimit theoremshypergroupsdeformation of hypergroups

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Harmonic analysis on homogeneous spaces (43A85) Harmonic analysis on hypergroups (43A62) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Measure algebras on groups, semigroups, etc. (43A10)

Related Items

Sine functions on compact commutative hypergroups ⋮ On algebras of double cosets of symmetric groups with respect to Young subgroups ⋮ Tensor product Markov chains

Cites Work

• The product formula for the spherical functions on symmetric spaces in the complex case.
• Positive characters on commutative hypergroups and some applications
• Harmonic analysis of probability measures on hypergroups
• Spaces with an abstract convolution of measures
• Stable bundles, representation theory and Hermitian operators
• The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture
• Sums of adjoint orbits
• Lie groups beyond an introduction
• Random walks on symmetric spaces and inequalities for matrix spectra
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