-
2
-
-
84968488966
-
Bounds on the fundamental solution of a parabolic equation
-
D. G. Aronson, Bounds on the fundamental solution of a parabolic equation. Bull. Amer. Math. Soc. 73(1967), 890-896.
-
(1967)
Bull. Amer. Math. Soc.
, vol.73
, pp. 890-896
-
-
Aronson, D.G.1
-
3
-
-
84860141693
-
Diffusions on fractals. Lectures on Probability Theory and Statistics, École d'Été de Probabilités de Saint-Flour XXV - 1995
-
Springer
-
M. T. Barlow, Diffusions on fractals. Lectures on Probability Theory and Statistics, École d'Été de Probabilités de Saint-Flour XXV - 1995, 1-121. Lecture Notes in Math. 1690, Springer 1998.
-
(1998)
Lecture Notes in Math.
, vol.1690
, pp. 1-121
-
-
Barlow, M.T.1
-
4
-
-
0001035130
-
The construction of Brownian motion on the Sierpinski carpet
-
M. T. Barlow and R. F. Bass, The construction of Brownian motion on the Sierpinski carpet. Ann. Inst. H. Poincaré Probab. Statist. 25(1989), 225-257.
-
(1989)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.25
, pp. 225-257
-
-
Barlow, M.T.1
Bass, R.F.2
-
5
-
-
0040773662
-
Local times for Brownian motion on the Sierpinski carpet
-
_, Local times for Brownian motion on the Sierpinski carpet. Probab. Theory Related Fields 85(1990), 91-104.
-
(1990)
Probab. Theory Related Fields
, vol.85
, pp. 91-104
-
-
-
6
-
-
0011597810
-
On the resistance of the Sierpinski carpet
-
_, On the resistance of the Sierpinski carpet. Proc. Roy. Soc. London Ser. A 431 (1990), 345-360.
-
(1990)
Proc. Roy. Soc. London Ser. A
, vol.431
, pp. 345-360
-
-
-
7
-
-
0000869325
-
Transition densities for Brownian motion on the Sierpinski carpet
-
_, Transition densities for Brownian motion on the Sierpinski carpet. Probab. Theory Related Fields 91(1992), 307-330.
-
(1992)
Probab. Theory Related Fields
, vol.91
, pp. 307-330
-
-
-
8
-
-
84967735808
-
Coupling and Harnack inequalities for Sierpinski carpets
-
_, Coupling and Harnack inequalities for Sierpinski carpets. Bull. Amer. Math. Soc. 29(1993), 208-212.
-
(1993)
Bull. Amer. Math. Soc.
, vol.29
, pp. 208-212
-
-
-
10
-
-
0001008853
-
Resistance and spectral dimension of Sierpinski carpets
-
M. T. Barlow, R. F. Bass, and J. D. Sherwood, Resistance and spectral dimension of Sierpinski carpets. J. Phys. A 23(1990), L253-L258.
-
(1990)
J. Phys. A
, vol.23
-
-
Barlow, M.T.1
Bass, R.F.2
Sherwood, J.D.3
-
12
-
-
0041018894
-
Uniqueness for the Skorokhod equation with normal reflection in Lipschitz domains
-
R. F. Bass, Uniqueness for the Skorokhod equation with normal reflection in Lipschitz domains. Electron. J. Probab. (11) 1(1996), 1-29.
-
(1996)
Electron. J. Probab. (11)
, vol.1
, pp. 1-29
-
-
Bass, R.F.1
-
14
-
-
0039132915
-
Diffusions on the Sierpinski carpet
-
World Scientific, Singapore
-
_, Diffusions on the Sierpinski carpet. In: Trends in Probability and Related Analysis, World Scientific, Singapore, 1997, 1-34.
-
(1997)
Trends in Probability and Related Analysis
, pp. 1-34
-
-
-
15
-
-
0001584203
-
Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains
-
R. F. Bass and P. Hsu, Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains. Ann. Probab. 19(1991), 486-508.
-
(1991)
Ann. Probab.
, vol.19
, pp. 486-508
-
-
Bass, R.F.1
Hsu, P.2
-
16
-
-
0001070656
-
Local times on curves and uniform invariance principles
-
R. F. Bass and D. Khoshnevisan, Local times on curves and uniform invariance principles. Probab. Theory Related Fields 92(1992), 465-492.
-
(1992)
Probab. Theory Related Fields
, vol.92
, pp. 465-492
-
-
Bass, R.F.1
Khoshnevisan, D.2
-
17
-
-
0000503489
-
Exact fractals withi adjustable fractal and fracton dimensionalities
-
D. Ben-Avraham and S. Havlin, Exact fractals withi adjustable fractal and fracton dimensionalities. J. Phys. A. 16(1983), L559-563.
-
(1983)
J. Phys. A.
, vol.16
-
-
Ben-Avraham, D.1
Havlin, S.2
-
19
-
-
85033946775
-
Métodos de continuação em equações eliticas não-lineares
-
Rio de Janeiro
-
L. Caffarelli, Métodos de continuação em equações eliticas não-lineares. Inst. Mat. Pura Apl., Rio de Janeiro, 1986.
-
(1986)
Inst. Mat. Pura Apl.
-
-
Caffarelli, L.1
-
22
-
-
0001511718
-
Dimension à l'infini d'un semi-groupe analytique
-
T. Coulhon, Dimension à l'infini d'un semi-groupe analytique. Bull. Sci. Math. 114(1990), 485-500.
-
(1990)
Bull. Sci. Math.
, vol.114
, pp. 485-500
-
-
Coulhon, T.1
-
23
-
-
0003252136
-
Random Walks and Electric Networks
-
Math. Assoc. America, Washington DC
-
P. Doyle and J. L. Snell, Random Walks and Electric Networks. Carus Math. Monographs, Math. Assoc. America, Washington DC, 1984.
-
(1984)
Carus Math. Monographs
-
-
Doyle, P.1
Snell, J.L.2
-
24
-
-
33646917618
-
A new proof of Moser's parabolic Harnack inequality via the old ideas of Nash
-
E. B. Fabes and D. W. Stroock, A new proof of Moser's parabolic Harnack inequality via the old ideas of Nash. Arch. Rational Mech. Anal. 96(1986), 327-338.
-
(1986)
Arch. Rational Mech. Anal.
, vol.96
, pp. 327-338
-
-
Fabes, E.B.1
Stroock, D.W.2
-
25
-
-
21844490714
-
Transition density estimates for Brownian motion on affine nested fractals
-
P. J. Fitzsimmons, B. M. Hambly and T. Kumagai, Transition density estimates for Brownian motion on affine nested fractals. Comm. Math. Phys. 165(1995), 595-620.
-
(1995)
Comm. Math. Phys.
, vol.165
, pp. 595-620
-
-
Fitzsimmons, P.J.1
Hambly, B.M.2
Kumagai, T.3
-
27
-
-
0000648822
-
Dirichlet forms, diffusion processes, and spectral dimensions for nested fractals
-
Cambridge University Press, Cambridge
-
M. Fukushima, Dirichlet forms, diffusion processes, and spectral dimensions for nested fractals. In: Ideas and methods in stochastic analysis, stochastics and applications, Cambridge University Press, Cambridge, 1992, 151-161.
-
(1992)
Ideas and Methods in Stochastic Analysis, Stochastics and Applications
, pp. 151-161
-
-
Fukushima, M.1
-
29
-
-
0000241121
-
Phase transitions on fractals: III, Infinitely ramified lattices
-
Y. Gefen, A. Aharony, and B. Mandelbrot, Phase transitions on fractals: III, Infinitely ramified lattices. J. Phys. A 17(1984), 1277-1289.
-
(1984)
J. Phys. A
, vol.17
, pp. 1277-1289
-
-
Gefen, Y.1
Aharony, A.2
Mandelbrot, B.3
-
31
-
-
84956103754
-
The heat equation on noncompact Riemanman manifolds
-
A. A. Grigor'yan, The heat equation on noncompact Riemanman manifolds. Math. USSR Sbornik 72(1992), 47-77.
-
(1992)
Math. USSR Sbornik
, vol.72
, pp. 47-77
-
-
Grigor'yan, A.A.1
-
32
-
-
0001587943
-
Sobolev spaces on an arbitrary metric space
-
P. Hajłasz Sobolev spaces on an arbitrary metric space. Potential Analysis 5( 1996), 403-415.
-
(1996)
Potential Analysis
, vol.5
, pp. 403-415
-
-
Hajłasz, P.1
-
34
-
-
0000604419
-
New approximate renormalisation method on fractals
-
_, New approximate renormalisation method on fractals. Phys Rev. A 32(1985), 3730-3733.
-
(1985)
Phys Rev. A
, vol.32
, pp. 3730-3733
-
-
-
35
-
-
0023452103
-
Diffusion in disordered media
-
S. Havlin and D. Ben-Avraham, Diffusion in disordered media. Adv. in Phys. 36(1987), 695-798.
-
(1987)
Adv. in Phys.
, vol.36
, pp. 695-798
-
-
Havlin, S.1
Ben-Avraham, D.2
-
36
-
-
0001265433
-
Fractals and self-similarity
-
J. E. Hutchinson, Fractals and self-similarity. Indiana J. Math. 30(1981), 713-747.
-
(1981)
Indiana J. Math.
, vol.30
, pp. 713-747
-
-
Hutchinson, J.E.1
-
37
-
-
84972555264
-
The Poincaré inequality for vector fields satisfying Hörmander conditions
-
D. Jerison, The Poincaré inequality for vector fields satisfying Hörmander conditions. Duke Math. J. 53(1986), 503-523.
-
(1986)
Duke Math. J.
, vol.53
, pp. 503-523
-
-
Jerison, D.1
-
38
-
-
77951516336
-
A harmonic calculus on the Sierpinski space
-
J. Kigami, A harmonic calculus on the Sierpinski space. Japan J. Appl. Math. 6(1989), 259-290.
-
(1989)
Japan J. Appl. Math.
, vol.6
, pp. 259-290
-
-
Kigami, J.1
-
39
-
-
84924341601
-
A harmonic calculus for p.c.f self-similar sets
-
_, A harmonic calculus for p.c.f self-similar sets. Trans. Amer. Math. Soc. 335(1993), 721-755.
-
(1993)
Trans. Amer. Math. Soc.
, vol.335
, pp. 721-755
-
-
-
41
-
-
21144470507
-
Estimates of the transition densities for Brownian motion on nested fractals
-
T. Kumagai, Estimates of the transition densities for Brownian motion on nested fractals. Probab. Theory Related Fields 96(1993), 205-224.
-
(1993)
Probab. Theory Related Fields
, vol.96
, pp. 205-224
-
-
Kumagai, T.1
-
42
-
-
0000430442
-
Regularity, closedness, and spectral dimension of the Dirichlet forms on p.c.f. Self-similar sets
-
_, Regularity, closedness, and spectral dimension of the Dirichlet forms on p.c.f. self-similar sets. J. Math. Kyoto Univ. 33(1993), 765-786.
-
(1993)
J. Math. Kyoto Univ.
, vol.33
, pp. 765-786
-
-
-
43
-
-
0002070668
-
A diffusion process on a fractal
-
Taniguchi, Katata. Academic Press, Amsterdam
-
S. Kusuoka, A diffusion process on a fractal. Symposium on Probabilistic Methods in Mathematical Physics, Taniguchi, Katata. Academic Press, Amsterdam, 1987, 251-274.
-
(1987)
Symposium on Probabilistic Methods in Mathematical Physics
, pp. 251-274
-
-
Kusuoka, S.1
-
44
-
-
0012522288
-
Diffusion processes on nested fractals
-
Springer, Berlin
-
_, Diffusion processes on nested fractals. Statistical Mechanics and Fractals. Springer, Berlin, 1993.
-
(1993)
Statistical Mechanics and Fractals
-
-
-
45
-
-
0000468986
-
Dirichlet form on fractals: Poincaré constant and resistance
-
S. Kusuoka and X. Y. Zhou, Dirichlet form on fractals: Poincaré constant and resistance. Probab. Theory Related Fields 93(1992), 169-196.
-
(1992)
Probab. Theory Related Fields
, vol.93
, pp. 169-196
-
-
Kusuoka, S.1
Zhou, X.Y.2
-
46
-
-
0000311503
-
Brownian motion on nested fractals
-
T. Lindstrom, Brownian motion on nested fractals. Mem. Amer. Math. Soc. 420(1990).
-
(1990)
Mem. Amer. Math. Soc.
, vol.420
-
-
Lindstrom, T.1
-
48
-
-
0001434227
-
Coupling of multi-dimensional diffusions by reflection
-
T. Lindvall and L. C. G. Rogers, Coupling of multi-dimensional diffusions by reflection. Ann. Probab. 14(1986), 860-872.
-
(1986)
Ann. Probab.
, vol.14
, pp. 860-872
-
-
Lindvall, T.1
Rogers, L.C.G.2
-
52
-
-
0000921622
-
How many diffusions exist on the Vicsek snowflake?
-
V. Metz, How many diffusions exist on the Vicsek snowflake? Acta Appl. Math. 32(1993), 227-241.
-
(1993)
Acta Appl. Math.
, vol.32
, pp. 227-241
-
-
Metz, V.1
-
53
-
-
84980080977
-
On Harnack's inequality for elliptic differential equations
-
J. Moser, On Harnack's inequality for elliptic differential equations. Comm. Pure Appl. Math. 14(1961), 577-591.
-
(1961)
Comm. Pure Appl. Math.
, vol.14
, pp. 577-591
-
-
Moser, J.1
-
54
-
-
0013675613
-
Brownian motion on simple fractal spaces
-
S. O. Nyberg, Brownian motion on simple fractal spaces. Stochastics Stochastics Rep. 55(1995), 21-45.
-
(1995)
Stochastics Stochastics Rep.
, vol.55
, pp. 21-45
-
-
Nyberg, S.O.1
-
55
-
-
0000529691
-
Isoperimetric dimension and estimates of heat kernels of pre-Sierpinski carpets
-
H. Osada, Isoperimetric dimension and estimates of heat kernels of pre-Sierpinski carpets. Probab. Theory Related Fields 86(1990), 469-490.
-
(1990)
Probab. Theory Related Fields
, vol.86
, pp. 469-490
-
-
Osada, H.1
-
56
-
-
85033951441
-
-
_, Personal communication
-
_, Personal communication.
-
-
-
-
57
-
-
0020498687
-
Random walks on fractal structures and percolation clusters
-
R. Rammal and G. Toulouse, Random walks on fractal structures and percolation clusters. J. Physique Lettres 44(1983), L13-L22.
-
(1983)
J. Physique Lettres
, vol.44
-
-
Rammal, R.1
Toulouse, G.2
-
59
-
-
0038995305
-
Multiple points of Markov processes in a complete metric space
-
Springer, Berlin
-
L. C. G. Rogers, Multiple points of Markov processes in a complete metric space. Séminaire de Probabilités XXIII, Springer, Berlin, 1989, 186-197.
-
(1989)
Séminaire de Probabilités
, vol.23
, pp. 186-197
-
-
Rogers, L.C.G.1
-
60
-
-
0031536927
-
Existence and uniqueness of diffusions on finitely ramified self-similar fractals
-
C. Sabot, Existence and uniqueness of diffusions on finitely ramified self-similar fractals. Ann. Sci. École Norm. Sup. 30(1997), 605-673.
-
(1997)
Ann. Sci. École Norm. Sup.
, vol.30
, pp. 605-673
-
-
Sabot, C.1
-
61
-
-
84963021360
-
A note on Poincaré, Sobolev, and Harnack inequalities
-
L. Saloff-Coste, A note on Poincaré, Sobolev, and Harnack inequalities. Internat. Math. Res. Notices (1992), 27-38.
-
(1992)
Internat. Math. Res. Notices
, pp. 27-38
-
-
Saloff-Coste, L.1
-
62
-
-
0000245433
-
Sur une courbe cantorienne qui contient une image biunivoque et continue de toute courbe donnée
-
W. Sierpinski, Sur une courbe cantorienne qui contient une image biunivoque et continue de toute courbe donnée. C. R. Acad. Sci. Paris 162(1916), 629-632.
-
(1916)
C. R. Acad. Sci. Paris
, vol.162
, pp. 629-632
-
-
Sierpinski, W.1
-
63
-
-
0001418604
-
Random walks and the effective resistance of networks
-
P. Tetali, Random walks and the effective resistance of networks. J. Theoret. Probab. 4(1991), 101-109.
-
(1991)
J. Theoret. Probab.
, vol.4
, pp. 101-109
-
-
Tetali, P.1
-
64
-
-
46549090570
-
Isoperimetric inequalities and Markov chains
-
N. Th. Varopoulos, Isoperimetric inequalities and Markov chains. J. Funct. Anal. 63(1985), 215-239.
-
(1985)
J. Funct. Anal.
, vol.63
, pp. 215-239
-
-
Varopoulos, N.Th.1
-
65
-
-
0003103305
-
Random walks and Brownian motion on manifolds
-
_, Random walks and Brownian motion on manifolds. Sympos. Math. 29(1987), 97-109.
-
(1987)
Sympos. Math.
, vol.29
, pp. 97-109
-
-
-
66
-
-
0040773658
-
On the recurrence of simple random walk on fractals
-
X. Y. Zhou, On the recurrence of simple random walk on fractals. J. Appl. Probab. 29( 1992), 460-466.
-
(1992)
J. Appl. Probab.
, vol.29
, pp. 460-466
-
-
Zhou, X.Y.1
|