Typical surfaces and random graphs

Robert Brooks

Séminaire de théorie spectrale et géométrie (1998-1999)

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

How to cite


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

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},

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 -


  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

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.