메뉴 건너뛰기




Volumn 145, Issue 1, 2001, Pages 59-103

Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035621503     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220100142     Document Type: Article
Times cited : (170)

References (42)
  • 1
    • 0002773564 scopus 로고    scopus 로고
    • The Character of the Infinite Wedge Representation
    • alg-geom/9712009
    • S. Bloch, A. Okounkov, The Character of the Infinite Wedge Representation, Adv. Math. 149 (2000), no. 1, 1-60, alg-geom/9712009
    • (2000) Adv. Math. , vol.149 , Issue.1 , pp. 1-60
    • Bloch, S.1    Okounkov, A.2
  • 2
    • 0034390399 scopus 로고    scopus 로고
    • On asymptotics of the Plancherel measures for symmetric groups
    • A. Borodin, A. Okounkov, G. Olshanski, On asymptotics of the Plancherel measures for symmetric groups, Journal of AMS 13 (2000), no. 3, 481-515
    • (2000) Journal of AMS , vol.13 , Issue.3 , pp. 481-515
    • Borodin, A.1    Okounkov, A.2    Olshanski, G.3
  • 4
    • 0002883462 scopus 로고
    • Mirror symmetry and elliptic curves, the Moduli Space of Curves
    • R. Dijkgraaf, C. Faber, G. van der Geer (eds.), Birkhäuser
    • R. Dijkgraaf, Mirror symmetry and elliptic curves, The Moduli Space of Curves, R. Dijkgraaf, C. Faber, G. van der Geer (eds.), Progress in Mathematics, 129, Birkhäuser, 1995
    • (1995) Progress in Mathematics , vol.129
    • Dijkgraaf, R.1
  • 6
    • 0004265556 scopus 로고    scopus 로고
    • Amer. Math. Soc., Providence, RI
    • C. Earle, F. Gardiner, Teichmuller disks and Veech's ℱ-structures, Extremal Riemann surfaces (San Francisco, CA, 1995), 165-189, Contemp. Math., 201, Amer. Math. Soc., Providence, RI, 1997
    • (1997) Contemp. Math. , vol.201
  • 7
    • 19544394252 scopus 로고    scopus 로고
    • Pointwise asymptotic formulas on flat surfaces
    • A. Eskin, H. Masur, Pointwise asymptotic formulas on flat surfaces, to appear in Ergodic Th. Dyn. Syst.
    • Ergodic Th. Dyn. Syst.
    • Eskin, A.1    Masur, H.2
  • 10
    • 84958434552 scopus 로고
    • Billiards on almost integrable polyhedral surfaces
    • E. Gutkin, Billiards on almost integrable polyhedral surfaces, Ergodic Th. Dyn Syst. 4 (1984), 569-584.
    • (1984) Ergodic Th. Dyn Syst. , vol.4 , pp. 569-584
    • Gutkin, E.1
  • 11
    • 0011635694 scopus 로고    scopus 로고
    • Affine mappings of translation surfaces: Geometry and arithmetic
    • E. Gutkin, C. Judge, Affine mappings of translation surfaces: geometry and arithmetic, Duke Math. J., 103 (2000), no. 2, 191-213
    • (2000) Duke Math. J. , vol.103 , Issue.2 , pp. 191-213
    • Gutkin, E.1    Judge, C.2
  • 12
    • 0000923571 scopus 로고
    • Ergodicity of Billiard flows and quadratic differentials
    • S. Kerckhoff, H. Masur, J. Smillie, Ergodicity of Billiard flows and quadratic differentials, Annals of Math. 124 (1986), 293-311
    • (1986) Annals of Math. , vol.124 , pp. 293-311
    • Kerckhoff, S.1    Masur, H.2    Smillie, J.3
  • 13
    • 0040817484 scopus 로고
    • Gaussian limit for the Plancherel measure of the symmetric group
    • Série I
    • S. Kerov, Gaussian limit for the Plancherel measure of the symmetric group, C. R. Acad. Sci. Paris, 316, Série I, 1993, 303-308
    • (1993) C. R. Acad. Sci. Paris , vol.316 , pp. 303-308
    • Kerov, S.1
  • 14
    • 0007117395 scopus 로고
    • Polynomial functions on the set of Young diagrams
    • S. Kerov, G. Olshanski, Polynomial functions on the set of Young diagrams, C. R. Acad. Sci. Paris Sér. I Math., 319, no. 2, 1994, 121-126
    • (1994) C. R. Acad. Sci. Paris Sér. I Math. , vol.319 , Issue.2 , pp. 121-126
    • Kerov, S.1    Olshanski, G.2
  • 15
    • 0038906100 scopus 로고    scopus 로고
    • Some identities and asymptotics for characters of the symmetric group
    • A. Klyachko, E. Kurtaran, Some identities and asymptotics for characters of the symmetric group, J. Algebra, 206, no. 2, 1998, 413-437
    • (1998) J. Algebra , vol.206 , Issue.2 , pp. 413-437
    • Klyachko, A.1    Kurtaran, E.2
  • 16
    • 0009918930 scopus 로고    scopus 로고
    • Lyapunov Exponents and Hodge Theory
    • Saclay
    • M. Kontsevich, Lyapunov Exponents and Hodge Theory, The mathematical beauty of physics (Saclay, 1996), 318-332, Adv. Ser. Math. Phys., 24, World Sci. Publishing, River Edge, NJ, 1997
    • (1996) The Mathematical Beauty of Physics , pp. 318-332
    • Kontsevich, M.1
  • 17
    • 19544381715 scopus 로고    scopus 로고
    • World Sci. Publishing, River Edge, NJ
    • M. Kontsevich, Lyapunov Exponents and Hodge Theory, The mathematical beauty of physics (Saclay, 1996), 318-332, Adv. Ser. Math. Phys., 24, World Sci. Publishing, River Edge, NJ, 1997
    • (1997) Adv. Ser. Math. Phys. , vol.24
  • 19
    • 0000440852 scopus 로고
    • On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces
    • I. Kra, On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces, Acta Math. 146 (1981), no. 3-4, 231-270
    • (1981) Acta Math. , vol.146 , Issue.3-4 , pp. 231-270
    • Kra, I.1
  • 20
    • 0010883610 scopus 로고
    • A generalized Jacobi theta function and quasimodular forms
    • The Moduli Space of Curves, R. Dijkgraaf, C. Faber, G. van der Geer (eds.), Birkhäuser
    • M. Kaneko, D. Zagier, A generalized Jacobi theta function and quasimodular forms, The Moduli Space of Curves, R. Dijkgraaf, C. Faber, G. van der Geer (eds.), Progress in Mathematics, 129, Birkhäuser, 1995
    • (1995) Progress in Mathematics , vol.129
    • Kaneko, M.1    Zagier, D.2
  • 22
    • 0000742775 scopus 로고
    • Interval exchange transformations and measured foliations
    • H. Masur, Interval exchange transformations and measured foliations, Annals of Math. 115 (1982), 169-200
    • (1982) Annals of Math. , vol.115 , pp. 169-200
    • Masur, H.1
  • 23
    • 84971847841 scopus 로고
    • The growth rate of trajectories of a quadratic differential
    • H. Masur, The growth rate of trajectories of a quadratic differential, Ergodic Th. Dynam. Syst. 10 (1990), 151-176
    • (1990) Ergodic Th. Dynam. Syst. , vol.10 , pp. 151-176
    • Masur, H.1
  • 24
    • 0001697014 scopus 로고
    • Lower bounds for the number of saddle connections and closed trajectories of a quadratic quadratic differential
    • Springer-Verlag, Berlin, New York
    • H. Masur, Lower bounds for the number of saddle connections and closed trajectories of a quadratic quadratic differential, Holomorphic Functions and Moduli, vol. 2, Springer-Verlag, Berlin, New York, 1988
    • (1988) Holomorphic Functions and Moduli , vol.2
    • Masur, H.1
  • 25
    • 0000534712 scopus 로고
    • Hausdorff dimension of sets of foliations
    • H. Masur, J. Smillie, Hausdorff dimension of sets of foliations, Annals of Math. 134 (1991), 455-543
    • (1991) Annals of Math. , vol.134 , pp. 455-543
    • Masur, H.1    Smillie, J.2
  • 26
    • 0003358349 scopus 로고
    • Tata lectures on theta, I
    • Birkhäuser, Boston
    • D. Mumford, Tata lectures on theta, I, Progress in Mathematics, 28, Birkhäuser, Boston, 1983
    • (1983) Progress in Mathematics , vol.28
    • Mumford, D.1
  • 27
    • 19544380902 scopus 로고    scopus 로고
    • Infinite wedge and measures on partitions
    • math.RT/9907127
    • A. Okounkov, Infinite wedge and measures on partitions, math.RT/9907127, to appear in Selecta Math.
    • Selecta Math.
    • Okounkov, A.1
  • 29
    • 0000338772 scopus 로고    scopus 로고
    • q-alg/9605042
    • A. Okounkov, G. Olshanski, Shifted Schur functions Algebra i Analiz 9, 1997, no. 2, 73-146; translation in St. Petersburg Math. J. 9, 1998, no. 2, 239-300, q-alg/9605042
    • (1998) St. Petersburg Math. J. , vol.9 , Issue.2 , pp. 239-300
  • 30
    • 19544389311 scopus 로고    scopus 로고
    • Cambridge University Press
    • R.P. Stanley, Enumerative combinatorics, Vol. 1 and 2, Cambridge University Press, 1997, 1999
    • (1997) Enumerative Combinatorics , vol.1-2 , pp. 1999
    • Stanley, R.P.1
  • 31
    • 0038169126 scopus 로고    scopus 로고
    • Shapes of polyhedra and triangulations of the sphere. The Epstein birthday schrift
    • electronic, Geom. Topol., Coventry
    • W. Thurston, Shapes of polyhedra and triangulations of the sphere. The Epstein birthday schrift, 511-549 (electronic), Geom. Topol. Monogr., 1, Geom. Topol., Coventry, 1998
    • (1998) Geom. Topol. Monogr. , vol.1 , pp. 511-549
    • Thurston, W.1
  • 32
    • 0000742776 scopus 로고
    • Gauss measures for transformations on the space of interval exchange maps
    • W. Veech, Gauss measures for transformations on the space of interval exchange maps, Ann. of Math. (2) 115 (1982), no. 1, 201-242
    • (1982) Ann. of Math. (2) , vol.115 , Issue.1 , pp. 201-242
    • Veech, W.1
  • 33
    • 0001146926 scopus 로고
    • The Teichmuller geodesic flow
    • W. Veech, The Teichmuller geodesic flow, Ann. of Math. (2) 124 (1986), no. 3, 441-530
    • (1986) Ann. of Math. (2) , vol.124 , Issue.3 , pp. 441-530
    • Veech, W.1
  • 34
    • 34249973241 scopus 로고
    • Teichmuller curves in moduli space, Eisenstein series and an application to triangular billiards
    • W. Veech, Teichmuller curves in moduli space, Eisenstein series and an application to triangular billiards, Invent. math. 97 (1989), no. 3, 553-583
    • (1989) Invent. Math. , vol.97 , Issue.3 , pp. 553-583
    • Veech, W.1
  • 35
    • 51249173967 scopus 로고
    • Moduli spaces of quadratic differentials
    • W. Veech, Moduli spaces of quadratic differentials, J. Analyse. Math 55 (1990), 117-171
    • (1990) J. Analyse. Math , vol.55 , pp. 117-171
    • Veech, W.1
  • 36
    • 0032262443 scopus 로고    scopus 로고
    • Siegel measures
    • W. Veech, Siegel measures, Annals of Mathematics 148 (1998), no. 3, 895-944
    • (1998) Annals of Mathematics , vol.148 , Issue.3 , pp. 895-944
    • Veech, W.1
  • 37
    • 2342649382 scopus 로고    scopus 로고
    • Statistical mechanics of combinatorial partitions and their limit configurations
    • A. Vershik, Statistical mechanics of combinatorial partitions and their limit configurations, Func. Anal. Appl. 30, no. 2 (1996), 90-105
    • (1996) Func. Anal. Appl. , vol.30 , Issue.2 , pp. 90-105
    • Vershik, A.1
  • 39
    • 0242310336 scopus 로고
    • On quantum gauge theories in two dimensions
    • E. Witten, On quantum gauge theories in two dimensions, Comm. Math. Phys. 141, no. 1 (1991), 153-209
    • (1991) Comm. Math. Phys. , vol.141 , Issue.1 , pp. 153-209
    • Witten, E.1
  • 40
    • 0030503840 scopus 로고    scopus 로고
    • Gauss map on the space of interval exchange transformations. Finiteness of the invariant measure. Lyapunov exponents
    • A. Zorich, Gauss map on the space of interval exchange transformations. Finiteness of the invariant measure. Lyapunov exponents. Annales de l'Institut Fourier 46:2 (1996), 325-370
    • (1996) Annales de L'Institut Fourier , vol.46 , Issue.2 , pp. 325-370
    • Zorich, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.