Introduction to Random Walks on Noncommutative Spaces

DOI10.1007/978-3-540-69365-9_3zbMath1170.46311OpenAlexW2136657182MaRDI QIDQ5302300

Philippe Biane

Publication date: 7 January 2009

Published in: Quantum Potential Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-69365-9_3

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Noncommutative probability and statistics (46L53) Noncommutative geometry in quantum theory (81R60)

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Kinematics and dynamics of quantum walks in terms of systems of imprimitivity ⋮ Three-dimensional Gaussian fluctuations of non-commutative random surfaces along time-like paths ⋮ Cutoff profiles for quantum Lévy processes and quantum random transpositions ⋮ Quantum \(SL_2\), infinite curvature and Pitman's $2M-X$ theorem ⋮ Tensor product Markov chains ⋮ Quantum stochastic processes: a case study ⋮ Zonal polynomials and a multidimensional quantum Bessel process ⋮ Matsumoto–Yor Process and Infinite Dimensional Hyperbolic Space ⋮ Determinantal point processes and fermion quasifree states

Cites Work

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