Familles de graphes expanseurs et paires de Hecke

Comptes Rendus Mathematique - Tập 335 - Trang 463-468 - 2002
M.Bachir Bekka1, Robyn Curtis2, Pierre de la Harpe2
1Département de mathématiques, Université de Metz, Ile du Saulcy, 57045 Metz, France
2Section de mathématiques, Université de Genève, C.P. 240, CH-1211 Genève 24, Suisse

Tài liệu tham khảo

Andrianov, 1987, 286 Bourbaki, 1968 Bost, 1995, Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory, Selecta Math. (N.S.), 1, 411, 10.1007/BF01589495 de Verdière, 1998 Curtis, 2002, Hecke algebras associated with induced representations, C. R. Acad. Sci. Paris, Série I, 334, 31, 10.1016/S1631-073X(02)02195-7 G. Davidoff, P. Sarnak, A. Valette, An Elementary Construction of Ramanujan Graphs, livre à paraı̂tre Howe, 1979, Asymptotic properties of unitary representations, J. Funct. Anal., 32, 72, 10.1016/0022-1236(79)90078-8 Iwasawa, 1951, Topological groups with invariant compact neighbourhoods of the identity, Ann. Math., 53, 345, 10.2307/1969536 Lehner, 1964, 8 Lubotzky, 1994 Lubotzky, 1995, Cayley graphs: eigenvalues, expanders and random walks, 218, 155 Lubotzky, 1993, Groups and expanders, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 10, 95, 10.1090/dimacs/010/08 Margulis, 1973, Explicit construction of concentrators, Problems Inform. Transmission, 9, 325 Schlichting, 1980, Operationen mit periodischen Stabilisatoren, Arch. Math., 34, 97, 10.1007/BF01224936 Selberg, 1965, On the estimation of Fourier coefficients of modular forms, Proc. Symp. Pure Math., VIII, 1, 10.1090/pspum/008/0182610 Tzanev, 2000