-
2
-
-
0000360856
-
Path crossing exponents and the external perimeter in 2D percolation
-
AIZENMAN, M., DUPLANTIER, B. & AHARONY, A., Path crossing exponents and the external perimeter in 2D percolation. Phys. Rev. Lett., 83 (1999), 1359-1362.
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 1359-1362
-
-
Aizenman, M.1
Duplantier, B.2
Aharony, A.3
-
3
-
-
0002524069
-
Behaviour of diffusion semi-groups at infinity
-
AZENCOTT, R., Behaviour of diffusion semi-groups at infinity. Bull. Soc. Math. France, 102 (1974), 193-240.
-
(1974)
Bull. Soc. Math. France
, vol.102
, pp. 193-240
-
-
Azencott, R.1
-
4
-
-
0031067246
-
The dimension of the Brownian frontier is greater than 1
-
BISHOP, C. J., JONES, P. W., PEMANTLE, R. & PERES, Y., The dimension of the Brownian frontier is greater than 1. J. Funct. Anal., 143 (1997), 309-336.
-
(1997)
J. Funct. Anal.
, vol.143
, pp. 309-336
-
-
Bishop, C.J.1
Jones, P.W.2
Pemantle, R.3
Peres, Y.4
-
5
-
-
0009453792
-
Non-intersection exponents for Brownian paths. Part I: Existence and an invariance principle
-
BURDZY, K. & LAWLER, G. F., Non-intersection exponents for Brownian paths. Part I: Existence and an invariance principle. Probab. Theory Related Fields, 84 (1990), 393-410.
-
(1990)
Probab. Theory Related Fields
, vol.84
, pp. 393-410
-
-
Burdzy, K.1
Lawler, G.F.2
-
6
-
-
0000557204
-
Non-intersection exponents for Brownian paths. Part II: Estimates and applications to a random fractal
-
- Non-intersection exponents for Brownian paths. Part II: Estimates and applications to a random fractal. Ann. Probab., 18 (1990), 981-1009.
-
(1990)
Ann. Probab.
, vol.18
, pp. 981-1009
-
-
-
7
-
-
0000254242
-
Conformal invariance and surface critical behavior
-
CARDY, J. L., Conformal invariance and surface critical behavior. Nuclear Phys. B, 240 (1984), 514-532.
-
(1984)
Nuclear Phys. B
, vol.240
, pp. 514-532
-
-
Cardy, J.L.1
-
8
-
-
0000898051
-
Critical percolation in finite geometries
-
- Critical percolation in finite geometries. J. Phys. A, 25 (1992), L201-L206.
-
(1992)
J. Phys. A
, vol.25
-
-
-
9
-
-
0032488770
-
The number of incipient spanning clusters in two-dimensional percolation
-
- The number of incipient spanning clusters in two-dimensional percolation. J. Phys. A, 31 (1998), L105.
-
(1998)
J. Phys. A
, vol.31
-
-
-
11
-
-
0001322465
-
Random walks and quantum gravity in two dimensions
-
DUPLANTIER, B., Random walks and quantum gravity in two dimensions. Phys. Rev. Lett., 81 (1998), 5489-5492.
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 5489-5492
-
-
Duplantier, B.1
-
12
-
-
0033070941
-
Two-dimensional copolymers and exact conformal multifractality
-
- Two-dimensional copolymers and exact conformal multifractality. Phys. Rev. Lett., 82 (1999), 880-883.
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 880-883
-
-
-
13
-
-
3543033076
-
Harmonic measure exponents for two-dimensional percolation
-
- Harmonic measure exponents for two-dimensional percolation. Phys. Rev. Lett., 82 (1999), 3940-3943.
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 3940-3943
-
-
-
14
-
-
0002877490
-
Conformal invariance and intersection of random walks
-
DUPLANTIER, B. & KWON, K.-H., Conformal invariance and intersection of random walks. Phys. Rev. Lett., 61 (1988), 2514-2517.
-
(1988)
Phys. Rev. Lett.
, vol.61
, pp. 2514-2517
-
-
Duplantier, B.1
Kwon, K.-H.2
-
15
-
-
0001193785
-
Exact determination of the percolation hull exponent in two dimensions
-
DUPLANTIER, B. & SALEUR, H., Exact determination of the percolation hull exponent in two dimensions. Phys. Rev. Lett., 58 (1987), 2325-2328.
-
(1987)
Phys. Rev. Lett.
, vol.58
, pp. 2325-2328
-
-
Duplantier, B.1
Saleur, H.2
-
16
-
-
0034345586
-
Conformal invariance of domino tiling
-
KENYON, R., Conformal invariance of domino tiling. Ann. Probab., 28 (2000), 759-795.
-
(2000)
Ann. Probab.
, vol.28
, pp. 759-795
-
-
Kenyon, R.1
-
17
-
-
0034345444
-
Long-range properties of spanning trees. Probabilistic techniques in equilibrium and nonequilibrium statistical physics
-
- Long-range properties of spanning trees. Probabilistic techniques in equilibrium and nonequilibrium statistical physics. J. Math. Phys., 41 (2000), 1338-1363.
-
(2000)
J. Math. Phys.
, vol.41
, pp. 1338-1363
-
-
-
18
-
-
0009672256
-
The asymptotic determinant of the discrete Laplacian
-
- The asymptotic determinant of the discrete Laplacian. Acta Math., 185 (2000), 239-286.
-
(2000)
Acta Math.
, vol.185
, pp. 239-286
-
-
-
20
-
-
3042574952
-
Hausdorff dimension of cut points for Brownian motion
-
electronic
-
- Hausdorff dimension of cut points for Brownian motion. Electron. J. Probab., 1:2 (1996), 1-20 (electronic).
-
(1996)
Electron. J. Probab.
, vol.1
, Issue.2
, pp. 1-20
-
-
-
21
-
-
0039213043
-
Cut times for simple random walk
-
electronic
-
- Cut times for simple random walk. Electron. J. Probab., 1:13 (1996), 1-24 (electronic).
-
(1996)
Electron. J. Probab.
, vol.1
, Issue.13
, pp. 1-24
-
-
-
22
-
-
0003257551
-
The dimension of the frontier of planar Brownian motion
-
electronic
-
- The dimension of the frontier of planar Brownian motion. Electron. Comm. Probab., 1:5 (1996), 29-47 (electronic).
-
(1996)
Electron. Comm. Probab.
, vol.1
, Issue.5
, pp. 29-47
-
-
-
24
-
-
0007135322
-
Strict concavity of the intersection exponent for Brownian motion in two and three dimensions
-
electronic
-
- Strict concavity of the intersection exponent for Brownian motion in two and three dimensions. Math. Phys. Electron. J., 4:5 (1998), 1-67 (electronic).
-
(1998)
Math. Phys. Electron. J.
, vol.4
, Issue.5
, pp. 1-67
-
-
-
25
-
-
0000173851
-
Geometric and fractal properties of Brownian motion and random walk paths in two and three dimensions
-
Budapest
-
- Geometric and fractal properties of Brownian motion and random walk paths in two and three dimensions, in Random Walks (Budapest, 1998), pp. 219-258. Bolyai Soc. Math. Stud., 9. János Bolyai Math. Soc., Budapest, 1999.
-
(1998)
Random Walks
, pp. 219-258
-
-
-
26
-
-
85037259188
-
-
- Geometric and fractal properties of Brownian motion and random walk paths in two and three dimensions, in Random Walks (Budapest, 1998), pp. 219-258. Bolyai Soc. Math. Stud., 9. János Bolyai Math. Soc., Budapest, 1999.
-
Bolyai Soc. Math. Stud.
, vol.9
-
-
-
27
-
-
85037258815
-
-
Budapest
-
- Geometric and fractal properties of Brownian motion and random walk paths in two and three dimensions, in Random Walks (Budapest, 1998), pp. 219-258. Bolyai Soc. Math. Stud., 9. János Bolyai Math. Soc., Budapest, 1999.
-
(1999)
János Bolyai Math. Soc.
-
-
-
28
-
-
0034556773
-
The intersection exponent for simple random walk
-
LAWLER, G. F. & PUCKETTE, E. E., The intersection exponent for simple random walk. Combin. Probab. Comput., 9 (2000), 441-464.
-
(2000)
Combin. Probab. Comput.
, vol.9
, pp. 441-464
-
-
Lawler, G.F.1
Puckette, E.E.2
-
29
-
-
0012566413
-
Values of Brownian intersection exponents, I: Half-plane exponents
-
LAWLER, G. F., SCHRAMM, O. & WERNER, W., Values of Brownian intersection exponents, I: Half-plane exponents. Acta Math., 187 (2001), 237-273.
-
(2001)
Acta Math.
, vol.187
, pp. 237-273
-
-
Lawler, G.F.1
Schramm, O.2
Werner, W.3
-
30
-
-
85037260736
-
Values of Brownian intersection exponents, III: Two-sided exponents
-
- Values of Brownian intersection exponents, III: Two-sided exponents. To appear in Ann. Inst. H. Poincaré Probab. Statist. http://arxiv.org/abs/math.PR/0005294.
-
Ann. Inst. H. Poincaré Probab. Statist.
-
-
-
31
-
-
0036948020
-
Analyticity of intersection exponents for planar Brownian motion
-
- Analyticity of intersection exponents for planar Brownian motion. To appear in Acta Math., 188 (2002). http://arxiv.org/abs/math.PR/0005295.
-
(2002)
Acta Math.
, vol.188
-
-
-
32
-
-
85037261187
-
Sharp estimates for Brownian non-intersection probabilities
-
Progr. Probab. Birkhäuser Boston, Boston, MA
-
- Sharp estimates for Brownian non-intersection probabilities. To appear in In and Out of Equilibrium. Probability with a Physics Flavor. Progr. Probab. Birkhäuser Boston, Boston, MA.
-
In and Out of Equilibrium. Probability with a Physics Flavor
-
-
-
33
-
-
0033233660
-
Intersection exponents for planar Brownian motion
-
LAWLER, G. F. & WERNER, W., Intersection exponents for planar Brownian motion. Ann. Probab., 27 (1999), 1601-1642.
-
(1999)
Ann. Probab.
, vol.27
, pp. 1601-1642
-
-
Lawler, G.F.1
Werner, W.2
-
34
-
-
0000493287
-
Universality for conformally invariant intersection exponents
-
- Universality for conformally invariant intersection exponents. J. Eur. Math. Soc. (JEMS), 2 (2000), 291-328.
-
(2000)
J. Eur. Math. Soc. (JEMS)
, vol.2
, pp. 291-328
-
-
-
35
-
-
0000942409
-
Untersuchungen über schlichte konforme abbildungen des einheitskreises, i
-
LÖWNER, K., Untersuchungen über schlichte konforme Abbildungen des Einheitskreises, I. Math. Ann., 89 (1923), 103-121.
-
(1923)
Math. Ann.
, vol.89
, pp. 103-121
-
-
Löwner, K.1
-
36
-
-
0003883874
-
-
Birkhäuser Boston, Boston, MA
-
MADRAS, N. & SLADE, G., The Self-Avoiding Walk. Birkhäuser Boston, Boston, MA, 1993.
-
(1993)
The Self-Avoiding Walk
-
-
Madras, N.1
Slade, G.2
-
38
-
-
29444434031
-
Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
-
NIENHUIS, B., Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas. J. Statist. Phys., 34 (1984), 731-761.
-
(1984)
J. Statist. Phys.
, vol.34
, pp. 731-761
-
-
Nienhuis, B.1
-
39
-
-
0040991581
-
On the Loewner differential equation
-
POMMERENKE, CH., On the Loewner differential equation. Michigan Math. J., 13 (1966), 435-443.
-
(1966)
Michigan Math. J.
, vol.13
, pp. 435-443
-
-
Pommerenke, Ch.1
-
40
-
-
0003543379
-
-
Springer-Verlag, Berlin
-
REVUZ, D. & YOR, M., Continuous Martingales and Brownian Motion. Grundlehren Math. Wiss., 293. Springer-Verlag, Berlin, 1991.
-
(1991)
Continuous Martingales and Brownian Motion Grundlehren Math. Wiss.
, vol.293
-
-
Revuz, D.1
Yor, M.2
-
41
-
-
0000614574
-
Scaling limits of loop-erased random walks and uniform spanning trees
-
SCHRAMM, O., Scaling limits of loop-erased random walks and uniform spanning trees. Israel J. Math., 118 (2000), 221-288.
-
(2000)
Israel J. Math.
, vol.118
, pp. 221-288
-
-
Schramm, O.1
-
42
-
-
0002122939
-
Bounds for disconnection exponents
-
electronic
-
WERNER, W., Bounds for disconnection exponents. Electron. Comm. Probab., 1:4 (1996), 19-28 (electronic).
-
(1996)
Electron. Comm. Probab.
, vol.1
, Issue.4
, pp. 19-28
-
-
Werner, W.1
|