QUANTUM DECOMPOSITION IN DISCRETE GROUPS AND INTERACTING FOCK SPACES

DOI10.1142/S0219025701000450zbMath1042.81051OpenAlexW2105003013MaRDI QIDQ4460449

Yukihiro Hashimoto

Publication date: 18 May 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025701000450

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Stochastic quantization (81S20)

Related Items (7)

Quantum Walks ⋮ MONOTONE INDEPENDENCE, COMB GRAPHS AND BOSE–EINSTEIN CONDENSATION ⋮ Central limit theorems for large graphs: Method of quantum decomposition ⋮ CONSTRUCTIVE UNIVERSAL CENTRAL LIMIT THEOREMS BASED ON INTERACTING FOCK SPACES ⋮ Asymptotic spectral analysis of growing regular graphs ⋮ Scaling limits for the Gibbs states on distance-regular graphs with classical parameters ⋮ CONTINUOUS-TIME QUANTUM WALKS ON TREES IN QUANTUM PROBABILITY THEORY

Cites Work

• Quantum Ito's formula and stochastic evolutions
• A new example of `independence' and `white noise'
• Convolution and limit theorems for conditionally free random variables
• Notions of Independence Related to the Free Group
• Central Limit Theorems and Asymptotic Spectral Analysis on Large Graphs
• Interacting Fock Spaces and Gaussianization of Probability Measures

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