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DISTANCE-k GRAPHS OF HYPERCUBE AND q-HERMITE POLYNOMIALS

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Publication:2842031
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DOI10.1142/S0219025713500112zbMath1275.46051arXiv1208.3792OpenAlexW2963727183MaRDI QIDQ2842031

Nobuaki Obata, Hun Hee Lee

Publication date: 30 July 2013

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

Full work available at URL: https://arxiv.org/abs/1208.3792


zbMATH Keywords

hypercube\(q\)-Hermite polynomialsgraph spectrumdistance-\(k\) graph


Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Noncommutative probability and statistics (46L53)


Related Items

Asymptotic Spectral Distributions of Distance-k Graphs of Star Product Graphs ⋮ On the spectral distribution of distance-k graph of free product graphs



Cites Work

  • Unnamed Item
  • An example of a generalized Brownian motion
  • A non-commutative central limit theorem
  • Free hypercontractivity
  • Asymptotic spectral distributions of distance \boldsymbol k-graphs of large-dimensional hypercubes
  • Lectures on the Combinatorics of Free Probability
  • On the Convergence of Moments in the Central Limit Theorem


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