Rigidité des empilements infinis immergés proprement dans le plan et dans le disque

Frédéric Mathéus

Séminaire de théorie spectrale et géométrie (1993-1994)

  • Volume: 12, page 69-85
  • ISSN: 1624-5458

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Mathéus, Frédéric. "Rigidité des empilements infinis immergés proprement dans le plan et dans le disque." Séminaire de théorie spectrale et géométrie 12 (1993-1994): 69-85. <http://eudml.org/doc/114370>.

@article{Mathéus1993-1994,
author = {Mathéus, Frédéric},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {rigidity; packings; plane; disk; hexagonal},
language = {fre},
pages = {69-85},
publisher = {Institut Fourier},
title = {Rigidité des empilements infinis immergés proprement dans le plan et dans le disque},
url = {http://eudml.org/doc/114370},
volume = {12},
year = {1993-1994},
}

TY - JOUR
AU - Mathéus, Frédéric
TI - Rigidité des empilements infinis immergés proprement dans le plan et dans le disque
JO - Séminaire de théorie spectrale et géométrie
PY - 1993-1994
PB - Institut Fourier
VL - 12
SP - 69
EP - 85
LA - fre
KW - rigidity; packings; plane; disk; hexagonal
UR - http://eudml.org/doc/114370
ER -

References

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  2. [Aha2] AHARONOV D.. - The hexagonal packing lemma and the Rodin-Sullivan conjecture, Trans, of the A.M.S. 343 (n°l) ( 1994), 157-167. Zbl0812.52010MR1162100
  3. [Ahl] AHLFORS L. - Lectures on quasi-conformal mappings, Van Nostrand, 1982. Zbl0138.06002
  4. [B] BEARDON A. - The geometry of discrete groups, Springer Verlag, 1983. Zbl0528.30001MR698777
  5. [B-D-St] BEARDON A.-F., DUBEJKO T., STEPHENSON K. - Spiral hexagonal circle packings in the plane, Geometriae Dedicata 49 ( 1994), 39_70. Zbl0796.52002MR1261573
  6. [B-St] BEARDON A.-F., STEPHENSON K. - Circle packings in different geometries, Tôhoku Math. J. 43 ( 1991), 27-36. Zbl0703.52007MR1088712
  7. [Cn-R] CALLAHAN K., RODIN B. - Circle packings immersions form regularly exhaustible surfaces, Complex variables 21 ( 1993), 171-177. Zbl0793.30025MR1276573
  8. [Cr-R] CARTER I., RODIN B. - An inverse problem for circle packings and conformal mappings, Trans. AMS 334 (n°2) ( 1992), 861-875. Zbl0771.30005MR1081937
  9. [CV-M] COLIN DE VERDIÈRE Y. , MATHEUS F. - Empilements de cercles et approximations conformes, à paraître dans les Actes de la Table Ronde de Géométrie Riexnannienne en l'honneur de Marcel Berger, Arthur L. Besse (éditeur) Collection SMF Séminaires et Congrès n ° l , 1994. Zbl0932.52004
  10. [D-H-R] DOYLE P.-G., HE Z.X., RODIN B. - The asymptotic value of the circle packing constant sn, Discrete and Computational Geometry 12 ( 1994), 105-116. Zbl0858.30005MR1280580
  11. [He] HE Z.-X. - An estimate for hexagonal circle packings, J. of Differential Geom. 33 ( 1991), 395-412. Zbl0743.52005MR1094463
  12. [He-R] HE Z.-X ., RODIN B. - Convergence of circle packings of finite valence to Riemann mapping, Communications in Analysis and Geometry 1 (1) ( 1993), 31-41. Zbl0777.30003MR1230272
  13. [M] MATHEUS F. - Empilements de cercles : rigidité, discrétisation d'applications conformes, Thèse de Doctorat de l'Université de Grenoble I, 1994. 
  14. [R] RODIN B. - On a problem of A. Beardon and K. Stephenson, Indiana Univ. Math. Journal 40 (n°1) ( 1991), 271-275. Zbl0708.30012MR1101230
  15. [R-S] RODIN B., SULLIVAN D. - The convergence of circle packings to the Riemann mapping, J. of Diff. Geometry 26 ( 1987), 349-360. Zbl0694.30006MR906396
  16. [Sch] SCHRAMM O. - Rigidity of infinité (circle) packings, Journal of the AMS 4 (n°l) ( 1991), 127-149. Zbl0726.52008MR1076089

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