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Fluctuation bounds for first-passage percolation on the square, tube, and torus

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Publication:6564530
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MaRDI QIDQ6564530

Alperen Y. Özdemir, Michael Damron, Christian Houdré

Publication date: 1 July 2024

Published in: ALEA. Latin American Journal of Probability and Mathematical Statistics (Search for Journal in Brave)





Mathematics Subject Classification ID

Probability theory and stochastic processes (60-XX) Statistical mechanics, structure of matter (82-XX)


Cites Work

  • Unnamed Item
  • Central limit theorem for first-passage percolation time across thin cylinders
  • Stochastic orders
  • Some limit theorems for percolation processes with necessary and sufficient conditions
  • Approximation of subadditive functions and convergence rates in limiting-shape results
  • On the rate of convergence in the entropic central limit theorem
  • Divergence of shape fluctuations in two dimensions
  • Concentration of measure and isoperimetric inequalities in product spaces
  • Fluctuation lower bounds in planar random growth models
  • Lower bounds for fluctuations in first-passage percolation for general distributions
  • 50 Years of First-Passage Percolation
  • Probability
  • Asymptotics of First-Passage Percolation on One-Dimensional Graphs






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