메뉴 건너뛰기




Volumn 43, Issue 22, 2010, Pages

Trace formulas and spectral statistics for discrete Laplacians on regular graphs (II)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77952921238     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/22/225205     Document Type: Article
Times cited : (32)

References (13)
  • 1
    • 70449565304 scopus 로고    scopus 로고
    • Trace formulae and spectral statistics for discrete Laplacians on regular graphs (1)
    • Oren I, Godel A and Smilansky U 2009 Trace formulae and spectral statistics for discrete Laplacians on regular graphs (1) J. Phys. A: Math. Theor. 42 415101
    • (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 415101
    • Oren, I.1    Godel, A.2    Smilansky, U.3
  • 2
    • 0242353284 scopus 로고    scopus 로고
    • Eigenvalue spacings for regular graphs
    • arXiv:0310002v1 [hep-th
    • Jacobson D, Miller S, Rivin I and Rudnick Z 1999 Eigenvalue spacings for regular graphs IMA Vol. Math. Appl. 109 317-27 (arXiv:0310002v1 [hep-th])
    • (1999) IMA Vol. Math. Appl. , vol.109 , pp. 317-327
    • Jacobson, D.1    Miller, S.2    Rivin, I.3    Rudnick, Z.4
  • 4
    • 33847574798 scopus 로고
    • Symmetric random walks on groups
    • Kesten H 1959 Symmetric random walks on groups Trans. Am. Math. Soc. 92 336-54
    • (1959) Trans. Am. Math. Soc. , vol.92 , pp. 336-354
    • Kesten, H.1
  • 5
    • 0000294458 scopus 로고
    • The expected eigenvalue distribution of a random labelled regular graph
    • McKay B D 1981 The expected eigenvalue distribution of a random labelled regular graph Linear Algebra Appl. 40 203-16
    • (1981) Linear Algebra Appl. , vol.40 , pp. 203-216
    • McKay, B.D.1
  • 7
    • 0010746686 scopus 로고
    • The asymptotic distribution of short cycles in random regular graphs
    • Wormald N C 1981 The asymptotic distribution of short cycles in random regular graphs J. Comb. Theory B 31 168-82
    • (1981) J. Comb. Theory B , vol.31 , pp. 168-182
    • Wormald, N.C.1
  • 8
    • 85012603843 scopus 로고
    • A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
    • Bollobs B 1980 A probabilistic proof of an asymptotic formula for the number of labelled regular graphs Eur. J. Comb. 1 311-6
    • (1980) Eur. J. Comb. , vol.1 , pp. 311-316
    • Bollobás, B.1
  • 10
    • 70350418110 scopus 로고    scopus 로고
    • The Tracy-Widom law for some sparse random matrices
    • Sodin S 2009 The Tracy-Widom law for some sparse random matrices J. Stat. Phys. 136 834-41
    • (2009) J. Stat. Phys. , vol.136 , pp. 834-841
    • Sodin, S.1
  • 11
    • 0001924595 scopus 로고
    • Random matrix theories and chaotic dynamics
    • ed M J Giannoni, A Voros and J Zinn-Justin (Amsterdam: North-Holland
    • Bohigas O 1991 Random matrix theories and chaotic dynamics Chaos and Quantum Physics ed M J Giannoni, A Voros and J Zinn-Justin (Amsterdam: North-Holland) pp 87-199
    • (1991) Chaos and Quantum Physics , pp. 87-199
    • Bohigas, O.1
  • 12
  • 13
    • 0001511611 scopus 로고
    • Semiclassical theory of spectral rigidity
    • Berry M V 1985 Semiclassical theory of spectral rigidity Proc. R. Soc. Lond. A 400 229
    • (1985) Proc. R. Soc. Lond. A , vol.400 , pp. 229
    • Berry, M.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.