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The spectrum of asymptotic Cayley trees

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Publication:6562975
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DOI10.1088/1751-8121/ad469azbMATH Open1543.0511MaRDI QIDQ6562975

John F. Wheater, Thordur Jonsson, Bergfinnur Durhuus

Publication date: 27 June 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)




zbMATH Keywords

Cayley treerandom walkquantum walkgraph spectrum


Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Infinite graphs (05C63) Random walks on graphs (05C81) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)


Cites Work

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  • On the relationship between continuous- and discrete-time quantum walk
  • The expected eigenvalue distribution of a large regular graph
  • Quantum walks: a comprehensive review
  • Survival of classical and quantum particles in the presence of traps
  • Quantum walk and its application domains: a systematic review
  • Symmetric Random Walks on Groups
  • Random walks on combs
  • Exponential algorithmic speedup by a quantum walk
  • Quantum walk on a comb with infinite teeth
  • Scattering theory for graphs isomorphic to a regular tree at infinity
  • Quantum walks and search algorithms







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