Cut-off phenomenon for random walks on free orthogonal quantum groups

DOI10.1007/s00440-018-0863-8zbMath1432.46049arXiv1711.06555OpenAlexW2962765358MaRDI QIDQ2312679

Amaury Freslon

Publication date: 17 July 2019

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.06555

zbMATH Keywords

quantum random walkcut-off phenomenafree orthogonal groupquantum Kac planar walk

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Noncommutative probability and statistics (46L53) Quantum groups (operator algebraic aspects) (46L67)

Related Items (7)

Cutoff profiles for quantum Lévy processes and quantum random transpositions ⋮ Limit profile for random transpositions ⋮ The ergodic theorem for random walks on finite quantum groups ⋮ Diaconis-Shahshahani upper bound lemma for finite quantum groups ⋮ Random walks on finite quantum groups ⋮ Positive definite functions and cut-off for discrete groups ⋮ Cut-off Phenomenon for Converging Processes in the Sense of α-Divergence Measures

Cites Work

• Unnamed Item
• The random \(k\) cycle walk on the symmetric group
• Quantum deformation of Lorentz group
• Simple compact quantum groups. I
• Compact matrix pseudogroups
• Quantum symmetry groups of finite spaces
• Symmetries of a generic coaction
• Random rotations: Characters and random walks on \(SO(N)\)
• The free compact quantum group \(U(n)\)
• Free products of compact quantum groups
• The cut-off phenomenon for random reflections
• Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory
• Diaconis-Shahshahani upper bound lemma for finite quantum groups
• Cut-off phenomenon in the uniform plane Kac walk
• An invitation to quantum groups and duality. From Hopf algebras to multiplicative unitaries and beyond
• Approximation properties for free orthogonal and free unitary quantum groups
• Generating a random permutation with random transpositions
• Probability Inequalities for Sums of Bounded Random Variables

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