Harmonic functions on annuli of graphs

Sébastien Blachère

Annales mathématiques Blaise Pascal (2001)

  • Volume: 8, Issue: 2, page 47-59
  • ISSN: 1259-1734

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Blachère, Sébastien. "Harmonic functions on annuli of graphs." Annales mathématiques Blaise Pascal 8.2 (2001): 47-59. <http://eudml.org/doc/79235>.

@article{Blachère2001,
author = {Blachère, Sébastien},
journal = {Annales mathématiques Blaise Pascal},
keywords = {relative connectedness of graphs; Poincaré-type inequality; Cayley graph of groups},
language = {eng},
number = {2},
pages = {47-59},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Harmonic functions on annuli of graphs},
url = {http://eudml.org/doc/79235},
volume = {8},
year = {2001},
}

TY - JOUR
AU - Blachère, Sébastien
TI - Harmonic functions on annuli of graphs
JO - Annales mathématiques Blaise Pascal
PY - 2001
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 8
IS - 2
SP - 47
EP - 59
LA - eng
KW - relative connectedness of graphs; Poincaré-type inequality; Cayley graph of groups
UR - http://eudml.org/doc/79235
ER -

References

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  1. [1] T. Coulhon and L. Saloff-Coste, Isopérimétrie pour les groupes et les variétés, Rev. Mat. Iberoamericana9 (1993), no. 2, 293-314. Zbl0782.53066MR1232845
  2. [2] T. Delmotte, Inégalité de Harnack elliptique sur les graphes, Colloquium Mathematicum80 (1997), no. 1, 19-37. Zbl0871.31008MR1425544
  3. [3] T. Delmotte, Parabolic Harnack inequality and estimates of Markov chains on graphs, Rev. Mat. Iberoamericana15 (1999), no. 1, 181-232. Zbl0922.60060MR1681641
  4. [4] P. Diaconis and L. Saloff-Coste, Comparison theorems for reversible Markov chains, Ann. Appl. Probab. 3 (1993), no. 3, 696-730. Zbl0799.60058MR1233621
  5. [5] P. Hajłasz and P. Koskela, Sobolev met Poincaré, Mem. Amer. Math. Soc. 145 (2000), no. 688, x+101. Zbl0954.46022MR1683160
  6. [6] J. Moser, On Harnack's theorem for elliptic differential equations, Comm. Pure and Applied Math. 14 (1961), 577-591. Zbl0111.09302MR159138
  7. [7] L. Saloff-Coste, Isoperimetric inequalities and decay of iterated kernels for almost-transitive Markov chains, Combin. Probab. Comput. 4 (1995), 419-442. Zbl0842.60070MR1377559

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