Typical surfaces and random graphs

Robert Brooks

Séminaire de théorie spectrale et géométrie (1998-1999)

  • Volume: 17, page 99-103
  • ISSN: 1624-5458

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Brooks, Robert. "Typical surfaces and random graphs." Séminaire de théorie spectrale et géométrie 17 (1998-1999): 99-103. <http://eudml.org/doc/114438>.

@article{Brooks1998-1999,
author = {Brooks, Robert},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {spectral properties; Riemann surface; arithmetic surface},
language = {eng},
pages = {99-103},
publisher = {Institut Fourier},
title = {Typical surfaces and random graphs},
url = {http://eudml.org/doc/114438},
volume = {17},
year = {1998-1999},
}

TY - JOUR
AU - Brooks, Robert
TI - Typical surfaces and random graphs
JO - Séminaire de théorie spectrale et géométrie
PY - 1998-1999
PB - Institut Fourier
VL - 17
SP - 99
EP - 103
LA - eng
KW - spectral properties; Riemann surface; arithmetic surface
UR - http://eudml.org/doc/114438
ER -

References

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  1. [A] L. AHLFORS, " An Extension of Schwarz's Lemma," Trans. AMS 43, pp. 359-364. Zbl64.0315.04JFM64.0315.04
  2. [Be] A. BELYI, " On Galois Extensions of a Maximal Cyclotomic Polynomial," Izvestia 14 ( 1980), pp. 247-256. Zbl0429.12004
  3. [Bol1] B. BOLLOBAS, Random Graphs, Academic Press, 1985. Zbl0567.05042MR809996
  4. [Bol2] B. BOLLOBAS, " The Isoperimetric Number of Random Regular Graphs," Europ. J. Comb. 9 ( 1988), pp. 241-244. Zbl0673.05086MR947025
  5. [PS] R. BROOKS, " Platonic Surfaces," Comm. Math. Helv.74 ( 1999), pp. 156-170. Zbl0920.30037MR1677565
  6. [TS] R. BROOKS, " Twist Surfaces," to appear in Proc. Cortona Conf. MR1802427
  7. [FERS] R. BROOKS and E. MAKOVER, " The First Eigenvalue of a Riemann Surface," ERA-AMS 5 ( 1999), pp. 76-81. Zbl0948.58003MR1696823
  8. [LFE] R. BROOKS and E. MAKOVER, " Riemann Surfaces with Large First Eigenvalue," to appear. Zbl0981.30031MR1828493
  9. [RCRS] R. BROOKS and E. MAKOVER, " Random Construction of Riemann Surfaces," in preparation. Zbl1095.30037
  10. [SGB] R. BROOKS and E. MAKOVER, " The Spectral Geometry of Belyi Surfaces," to appear in Levin Conf. Proc. 
  11. [LRS] W. LUO, Z. RUDNICK and P. SARNAK, " On Selberg's Eigenvalue Problem," Geom. Funct. Anal. 5 ( 1995), pp. 387-401. Zbl0844.11038MR1334872
  12. [Sel] A. SELBERG, " On the Estimation of Fourier Coefficients of Modular Forms," in A. L. Whiteman (ed.), Theory of Numbers, Proc. Symp. Pure Math 8 ( 1965), pp. 1-15. Zbl0142.33903MR182610

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