메뉴 건너뛰기




Volumn 28, Issue 3, 2006, Pages 247-288

Topological characteristics of random triangulated surfaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33646426398     PISSN: 10429832     EISSN: 10982418     Source Type: Journal    
DOI: 10.1002/rsa.20080     Document Type: Article
Times cited : (62)

References (36)
  • 1
    • 33646859849 scopus 로고
    • Quantum field theory techniques in graphical enumeration
    • D. Bessis, C. Itzykson, and J. B. Zuber, Quantum field theory techniques in graphical enumeration, Adv Appl Math 1 (1980) 109-157.
    • (1980) Adv Appl Math , vol.1 , pp. 109-157
    • Bessis, D.1    Itzykson, C.2    Zuber, J.B.3
  • 2
    • 77956956125 scopus 로고
    • On recursively unsolvable problems in topology and their classification
    • North-Holland, Amsterdam
    • W. W. Boone, W. Haken, and V. Poenaru, On recursively unsolvable problems in topology and their classification, in Contributions to Mathematical Logic, North-Holland, Amsterdam, 1968, pp. 37-74.
    • (1968) Contributions to Mathematical Logic , pp. 37-74
    • Boone, W.W.1    Haken, W.2    Poenaru, V.3
  • 4
    • 0000750828 scopus 로고
    • Exactly solvable field theories of closed strings
    • E. Brezin and V. A. Kazakov, Exactly solvable field theories of closed strings, Phys Lett B 236 (1990) 144-150.
    • (1990) Phys Lett B , vol.236 , pp. 144-150
    • Brezin, E.1    Kazakov, V.A.2
  • 5
    • 21244454611 scopus 로고    scopus 로고
    • A combinatorial interpretation for a super-Catalan recurrence
    • [arXiv:math.CO/0408117]
    • D. Callan, A combinatorial interpretation for a super-Catalan recurrence, J Integer Seg 8 (2004) 5.1.8 [arXiv:math.CO/0408117].
    • (2004) J Integer Seg , vol.8
    • Callan, D.1
  • 6
    • 0032336240 scopus 로고    scopus 로고
    • Dominant topologies in euclidean quantum gravity
    • [arXiv:gr-qc/9710114]
    • S. Carlip, Dominant topologies in euclidean quantum gravity, Classic Quantum Grav 15 (1998) 2629-2638 [arXiv:gr-qc/9710114].
    • (1998) Classic Quantum Grav , vol.15 , pp. 2629-2638
    • Carlip, S.1
  • 7
    • 0141692913 scopus 로고    scopus 로고
    • Spacetime foam and the cosmological constant
    • [arXiv:gr-qc/9708026]
    • S. Carlip, Spacetime foam and the cosmological constant, Phys Rev Lett 79 (1997) 4071-4074 [arXiv:gr-qc/9708026].
    • (1997) Phys Rev Lett , vol.79 , pp. 4071-4074
    • Carlip, S.1
  • 9
    • 0001176641 scopus 로고
    • Strings in less than one-dimension
    • M. R. Douglas and S. H. Shenker, Strings in less than one-dimension, Nucl Phys B 335 (1990) 635-654.
    • (1990) Nucl Phys B , vol.335 , pp. 635-654
    • Douglas, M.R.1    Shenker, S.H.2
  • 10
    • 0038239560 scopus 로고    scopus 로고
    • Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques, and applications to graphical enumeration
    • [arXiv:math-ph/0211022]
    • N. M. Ercolani and K. D. T.-R. McLaughlin, Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques, and applications to graphical enumeration, Int Math Res Not 2003 (2003) 755-820 [arXiv:math-ph/0211022].
    • (2003) Int Math Res Not , vol.2003 , pp. 755-820
    • Ercolani, N.M.1    McLaughlin, K.D.T.-R.2
  • 11
    • 38249009516 scopus 로고
    • Super ballot numbers
    • I. M. Gessel, Super ballot numbers, J Symbol Comp 14 (1992) 179-194.
    • (1992) J Symbol Comp , vol.14 , pp. 179-194
    • Gessel, I.M.1
  • 12
    • 21244493621 scopus 로고    scopus 로고
    • A combinatorial interpretation of the numbers 6(2n)!/n! (n + 2)!
    • [arXiv:math.CO/0401300]
    • I. M. Gessel and G. Xin, A combinatorial interpretation of the numbers 6(2n)!/n! (n + 2)!, J Integer Seg 8 (2004) 5.2.3 [arXiv:math.CO/0401300].
    • (2004) J Integer Seg , vol.8
    • Gessel, I.M.1    Xin, G.2
  • 13
    • 23044530167 scopus 로고    scopus 로고
    • A geometric parameterization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves
    • I. P. Goulden, J. L. Harer, and D. M. Jackson, A geometric parameterization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves, Trans Am Math Soc 353 (2001) 4405-4427.
    • (2001) Trans Am Math Soc , vol.353 , pp. 4405-4427
    • Goulden, I.P.1    Harer, J.L.2    Jackson, D.M.3
  • 14
    • 0042052641 scopus 로고
    • A nonperturbative treatment of two-dimensional quantum gravity
    • D. J. Gross and A. A. Migdal, A nonperturbative treatment of two-dimensional quantum gravity, Nucl Phys B 340 (1990) 333-365.
    • (1990) Nucl Phys B , vol.340 , pp. 333-365
    • Gross, D.J.1    Migdal, A.A.2
  • 15
    • 0001019709 scopus 로고
    • Nonperturbative two-dimensional quantum gravity
    • D. J. Gross and A. A. Migdal, Nonperturbative two-dimensional quantum gravity, Phys Rev Lett 64 (1990) 127-130.
    • (1990) Phys Rev Lett , vol.64 , pp. 127-130
    • Gross, D.J.1    Migdal, A.A.2
  • 17
    • 0000430358 scopus 로고
    • The Euler characteristic of the moduli space of curves
    • J. Harer and D. Zagier, The Euler characteristic of the moduli space of curves, Invent Math 85 (1986) 457-485.
    • (1986) Invent Math , vol.85 , pp. 457-485
    • Harer, J.1    Zagier, D.2
  • 18
    • 0000935654 scopus 로고
    • Unruly topologies in 2-d quantum gravity
    • J. Hartle, Unruly topologies in 2-d quantum gravity. Class Quantum Grav 2 (1985) 707-720.
    • (1985) Class Quantum Grav , vol.2 , pp. 707-720
    • Hartle, J.1
  • 19
    • 0001136219 scopus 로고
    • Spacetime foam
    • S. W. Hawking, Spacetime foam, Nucl Phys B 144 (1978) 349-362.
    • (1978) Nucl Phys B , vol.144 , pp. 349-362
    • Hawking, S.W.1
  • 20
    • 0002241988 scopus 로고
    • The path-integral approach to quantum gravity
    • S. W. Hawking and W. Israel (Editors), Cambridge University Press, New York
    • S. W. Hawking, The path-integral approach to quantum gravity, in S. W. Hawking and W. Israel (Editors), General Relativity: An Einstein Centenary Survey, Cambridge University Press, New York, 1979, pp. 759-785.
    • (1979) General Relativity: An Einstein Centenary Survey , pp. 759-785
    • Hawking, S.W.1
  • 21
    • 34447588722 scopus 로고
    • Über das problem der nachbargebiete
    • L. Heffter, Über das problem der nachbargebiete, Math Ann 38 (1891) 477-508.
    • (1891) Math Ann , vol.38 , pp. 477-508
    • Heffter, L.1
  • 22
    • 33744543538 scopus 로고
    • A planar diagram theory for strong interactions
    • G. 't Hooft, A planar diagram theory for strong interactions, Nucl Phys B 72 (1974) 461-473.
    • (1974) Nucl Phys B , vol.72 , pp. 461-473
    • 'T Hooft, G.1
  • 23
    • 33744618636 scopus 로고
    • A two-dimensional model for mesons
    • G. 't Hooft, A two-dimensional model for mesons, Nucl Phys B 75 (1974) 461-470.
    • (1974) Nucl Phys B , vol.75 , pp. 461-470
    • 'T Hooft, G.1
  • 24
    • 0000333790 scopus 로고
    • Matrix integration and combinatorics of modular groups
    • C. Itzykson and J.-B. Zuber, Matrix integration and combinatorics of modular groups, Commun Math Phys 134 (1990) 197-207.
    • (1990) Commun Math Phys , vol.134 , pp. 197-207
    • Itzykson, C.1    Zuber, J.-B.2
  • 25
    • 0001436412 scopus 로고
    • Counting cycles in permutations by group characters, with an application to a topological problem
    • D. M. Jackson, Counting cycles in permutations by group characters, with an application to a topological problem, Trans Am Math Soc 299 (1987) 785-801.
    • (1987) Trans Am Math Soc , vol.299 , pp. 785-801
    • Jackson, D.M.1
  • 26
    • 0001792752 scopus 로고
    • Intersection theory on the moduli space of curves and the matrix airy function
    • M. Kontsevich, Intersection theory on the moduli space of curves and the matrix airy function, Commun Math Phys 147 (1992) 1-23.
    • (1992) Commun Math Phys , vol.147 , pp. 1-23
    • Kontsevich, M.1
  • 28
    • 0041184043 scopus 로고
    • The problem of homeomorphy
    • Cambridge University Press, London
    • A. A. Markov, The problem of homeomorphy (Russian), Proc Int Congr Math, Cambridge University Press, London, 1960, pp. 300-306.
    • (1960) Proc Int Congr Math , pp. 300-306
    • Markov, A.A.1
  • 29
  • 31
    • 84972538864 scopus 로고
    • Perturbative series and the moduli space of Riemann surfaces
    • R. C. Penner, Perturbative series and the moduli space of Riemann surfaces, J Diff Geom 27 (1988) 35-53.
    • (1988) J Diff Geom , vol.27 , pp. 35-53
    • Penner, R.C.1
  • 32
    • 51649208939 scopus 로고
    • General relativity without coordinates
    • T. Regge, General relativity without coordinates, Nuovo Cim 19 (1961) 558-571.
    • (1961) Nuovo Cim , vol.19 , pp. 558-571
    • Regge, T.1
  • 34
    • 0000116432 scopus 로고
    • Generalized sums over histories for quantum gravity. II. Simplicial conifolds
    • [arXiv:gr-qc/9307019]
    • K. Schleich and D. M. Witt, Generalized sums over histories for quantum gravity. II. Simplicial conifolds, Nucl Phys B 402 (1993) 469-528 [arXiv:gr-qc/9307019].
    • (1993) Nucl Phys B , vol.402 , pp. 469-528
    • Schleich, K.1    Witt, D.M.2
  • 35
    • 0003232849 scopus 로고
    • Geometrodynamics and the issue of the final state
    • B. S. DeWitt and C. M. De Witt (Editors), New York
    • J. A. Wheeler, Geometrodynamics and the issue of the final state, in B. S. DeWitt and C. M. De Witt (Editors), Relativité, Groupes et Topologie, Gordon and Breach, New York, 1964, pp. 315-520.
    • (1964) Relativité, Groupes et Topologie, Gordon and Breach , pp. 315-520
    • Wheeler, J.A.1
  • 36
    • 0041465314 scopus 로고
    • On the distribution of the number of cycles of elements in symmetric groups
    • D. Zagier, On the distribution of the number of cycles of elements in symmetric groups, Nieuw Arch Wisk 13(4), (1995) 489-495.
    • (1995) Nieuw Arch Wisk , vol.13 , Issue.4 , pp. 489-495
    • Zagier, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.