메뉴 건너뛰기




Volumn , Issue 8, 2006, Pages

Monte Carlo study of the hull distribution for the q = 1 Brauer model

Author keywords

Brownian motion; Loop models and polymers; Solvable lattice models; Stochastic processes (theory)

Indexed keywords


EID: 37649026951     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2006/08/P08004     Document Type: Article
Times cited : (6)

References (26)
  • 3
    • 0001398970 scopus 로고
    • Solvable eight-vertex model on an arbitrary planar lattice
    • Baxter R J 1978 Solvable eight-vertex model on an arbitrary planar lattice Phil. Trans. R. Soc. London A 289 315
    • (1978) Phil. Trans. R. Soc. London , vol.289 , Issue.1359 , pp. 315
    • Baxter, R.J.1
  • 6
    • 4444379389 scopus 로고    scopus 로고
    • Reflected planar Brownian motions, intertwining relations and crossing probabilities
    • Dubédat J 2004 Reflected planar Brownian motions, intertwining relations and crossing probabilities Ann. Inst. H. Poincaré Probab. Statist. 40 539 [math.PR/0302250]
    • (2004) Ann. Inst. H. Poincaré Probab. Statist. , vol.40 , Issue.5 , pp. 539
    • Dubédat, J.1
  • 7
    • 34547188786 scopus 로고    scopus 로고
    • Excursion decompositions for SLE and Watts' crossing formula
    • Dubédat J Excursion decompositions for SLE and Watts' crossing formula Probab. Theory Relat. Fields doi:10.1007/s00440-005-0446-3 (published online 6 June 2005) [math.PR/0405074]
    • Probab. Theory Relat. Fields
    • Dubédat, J.1
  • 8
    • 24144480015 scopus 로고    scopus 로고
    • Brauer loops and the commuting variety
    • de Gier J and Nienhuis B 2005 Brauer loops and the commuting variety J. Stat. Mech. P01006
    • (2005) J. Stat. Mech. , vol.2005 , Issue.1
    • De Gier, J.1    Nienhuis, B.2
  • 9
    • 0009303196 scopus 로고
    • Percolation and motion in a simple random environment
    • Gunn J M F and Ortũo M 1985 Percolation and motion in a simple random environment J. Phys. A: Math. Gen. 18 L1095
    • (1985) J. Phys. A: Math. Gen. , vol.18 , Issue.17
    • Gunn, J.M.F.1    Ortũo, M.2
  • 10
    • 33749517830 scopus 로고    scopus 로고
    • Reflected Brownian motion in generic triangles and wedges
    • Kager W Reflected Brownian motion in generic triangles and wedges Stochast. Process. Appl. submitted [math.PR/0410007]
    • Stochast. Process. Appl.
    • Kager, W.1
  • 12
    • 0038862692 scopus 로고
    • Scaling dimensions and conformal anomaly in anisotropic lattice spin models
    • Kim D and Pearce P A 1987 Scaling dimensions and conformal anomaly in anisotropic lattice spin models J. Phys. A: Math. Gen. 20 L451
    • (1987) J. Phys. A: Math. Gen. , vol.20 , Issue.7
    • Kim, D.1    Pearce, P.A.2
  • 13
    • 4243659003 scopus 로고
    • Anomalous diffusion in a lattice-gas wind-tree model
    • Kong X P and Cohen E G D 1989 Anomalous diffusion in a lattice-gas wind-tree model Phys. Rev. B 40 4838
    • (1989) Phys. Rev. , vol.40 , Issue.7 , pp. 4838
    • Kong, X.P.1    Cohen, E.G.D.2
  • 14
    • 0012566413 scopus 로고    scopus 로고
    • Values of Brownian intersection exponents I: Half-plane exponents
    • Lawler G F, Schramm O and Werner W 2001 Values of Brownian intersection exponents I: Half-plane exponents Acta Math. 187 237 [math.PR/9911084]
    • (2001) Acta Math. , vol.187 , Issue.2 , pp. 237
    • Lawler, G.F.1    Schramm, O.2    Werner, W.3
  • 15
    • 0141680586 scopus 로고    scopus 로고
    • Conformal restriction: The chordal case
    • Lawler G F, Schramm O and Werner W 2003 Conformal restriction: the chordal case J. Am. Math. Soc. 16 917 [math.PR/0209343]
    • (2003) J. Am. Math. Soc. , vol.16 , Issue.4 , pp. 917
    • Lawler, G.F.1    Schramm, O.2    Werner, W.3
  • 16
    • 0347751644 scopus 로고
    • The growing self-avoiding trail
    • Lyklema J W 1985 The growing self-avoiding trail J. Phys. A: Math. Gen. 18 L617
    • (1985) J. Phys. A: Math. Gen. , vol.18 , Issue.10
    • Lyklema, J.W.1
  • 17
    • 0000799485 scopus 로고    scopus 로고
    • Intersecting loop model as a solvable super spin chain
    • Martins M J, Nienhuis B and Rietman R 1998 Intersecting loop model as a solvable super spin chain Phys. Rev. Lett. 81 504
    • (1998) Phys. Rev. Lett. , vol.81 , Issue.3 , pp. 504
    • Martins, M.J.1    Nienhuis, B.2    Rietman, R.3
  • 18
    • 0000856057 scopus 로고
    • The functional equation method in the theory of exactly soluble quantum systems
    • Reshetikhin N Y 1983 The functional equation method in the theory of exactly soluble quantum systems Sov. Phys. JETP 57 691
    • (1983) Sov. Phys. JETP , vol.57 , pp. 691
    • Reshetikhin, N.Y.1
  • 19
    • 0040539510 scopus 로고
    • Deterministic lattice gas models
    • Ruijgrok T W and Cohen E G D 1988 Deterministic lattice gas models Phys. Lett. A 133 415
    • (1988) Phys. Lett. , vol.133 , Issue.7-8 , pp. 415
    • Ruijgrok, T.W.1    Cohen, E.G.D.2
  • 20
    • 0001547861 scopus 로고
    • Solvable q-state models in lattice statistics and quantum field theory
    • Schultz C L 1981 Solvable q-state models in lattice statistics and quantum field theory Phys. Rev. Lett. 46 629
    • (1981) Phys. Rev. Lett. , vol.46 , Issue.10 , pp. 629
    • Schultz, C.L.1
  • 21
    • 0041869040 scopus 로고    scopus 로고
    • Critical percolation in the plane: Conformal invariance, Cardy's formula, scaling limits
    • Smirnov S 2001 Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits C. R. Acad. Sci. Paris I 333 239
    • (2001) C. R. Acad. Sci. Paris , vol.333 , pp. 239
    • Smirnov, S.1
  • 23
    • 0000884934 scopus 로고
    • Exact Bethe Ansatz solution of O(2n) symmetric theories
    • de Vega H J and Karowski M 1987 Exact Bethe Ansatz solution of O(2n) symmetric theories Nucl. Phys. B 280 225
    • (1987) Nucl. Phys. , vol.280 , pp. 225
    • De Vega, H.J.1    Karowski, M.2
  • 24
    • 0141430358 scopus 로고    scopus 로고
    • Critical exponents, conformal invariance and planar Brownian motion
    • Werner W 2001 Critical exponents, conformal invariance and planar Brownian motion European Congress of Mathematics, (Barcelona, 2000), vol II, ed C Casacuberta, R M Miro-Roig, J Verdera and S Xambo-Descamps Prog. Math. 202 87 [math.PR/0007042]
    • (2001) Prog. Math. , vol.202 , pp. 87
    • Werner, W.1
  • 25
    • 14944350573 scopus 로고    scopus 로고
    • Random planar curves and Schramm-Loewner evolutions
    • Werner W 2004 Random planar curves and Schramm-Loewner evolutions Lectures on Probability Theory and Statistics Lect. Notes Math. 1840 107 [math.PR/0303354]
    • (2004) Lect. Notes Math. , vol.1840 , pp. 107
    • Werner, W.1
  • 26
    • 0000887688 scopus 로고
    • Lorentz lattice-gas and kinetic-walk model
    • Ziff R M, Kong X P and Cohen E G D 1991 Lorentz lattice-gas and kinetic-walk model Phys. Rev. A 44 2410
    • (1991) Phys. Rev. , vol.44 , Issue.4 , pp. 2410
    • Ziff, R.M.1    Kong, X.P.2    Cohen, E.G.D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.