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Elliptic Harnack inequality for \(\mathbb{Z}^d\)

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Publication:2681324
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DOI10.2140/involve.2022.15.687OpenAlexW4318069800MaRDI QIDQ2681324

Nitya Gadhiwala, Ritvik R. Radhakrishnan, Siva R. Athreya

Publication date: 8 February 2023

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11947


zbMATH Keywords

Harnack inequalityrandom walkharmonic functions on \(\mathbb{Z}^d\)


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Discrete potential theory (31C20)





Cites Work

  • Unnamed Item
  • Parabolic Harnack inequality and estimates of Markov chains on graphs
  • Diffusion processes and heat kernels on metric spaces
  • Harnack inequalities: an introduction
  • Harnack's inequality for elliptic differential equations on minimal surfaces
  • Random Walks and Heat Kernels on Graphs
  • Continuity of Solutions of Parabolic and Elliptic Equations
  • On Harnack's theorem for elliptic differential equations




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