-
2
-
-
0033465207
-
Brownian motion and harmonic analysis on Sierpiński carpets
-
Barlow M. T., Bass R. F. Brownian motion and harmonic analysis on Sierpiński carpets. Canad. J. Math. 51:1999;673-744.
-
(1999)
Canad. J. Math.
, vol.51
, pp. 673-744
-
-
Barlow, M.T.1
Bass, R.F.2
-
3
-
-
0031537272
-
Transition density estimates for Brownian motion on scale irregular Sierpiński gaskets
-
Barlow M. T., Hambly B. M. Transition density estimates for Brownian motion on scale irregular Sierpiński gaskets. Ann. Inst. H. Poincaré Probab. Statist. 33:1997;531-557.
-
(1997)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.33
, pp. 531-557
-
-
Barlow, M.T.1
Hambly, B.M.2
-
4
-
-
0001352912
-
Localized eigenfunctions of the Laplacian on p.c.f. self-similar sets
-
Barlow M. T., Kigami J. Localized eigenfunctions of the Laplacian on p.c.f. self-similar sets. J. London Math. Soc. 56:1997;320-332.
-
(1997)
J. London Math. Soc.
, vol.56
, pp. 320-332
-
-
Barlow, M.T.1
Kigami, J.2
-
6
-
-
0001511211
-
What is not in the domain of the Laplacian on Sierpiński gasket type fractals
-
Ben-Bassat O., Strichartz R. S., Teplyaev A. What is not in the domain of the Laplacian on Sierpiński gasket type fractals. J. Funct. Anal. 166:1999;197-217.
-
(1999)
J. Funct. Anal.
, vol.166
, pp. 197-217
-
-
Ben-Bassat, O.1
Strichartz, R.S.2
Teplyaev, A.3
-
8
-
-
0002832308
-
On a spectral analysis for the Sierpiński gasket
-
Fukushima M., Shima T. On a spectral analysis for the Sierpiński gasket. Potential Anal. 1:1992;1-35.
-
(1992)
Potential Anal.
, vol.1
, pp. 1-35
-
-
Fukushima, M.1
Shima, T.2
-
9
-
-
0000648822
-
Dirichlet forms, diffusion processes and spectral dimensions for nested fractals
-
Cambridge: Cambridge Univ. Press. p. 151-161
-
Fukushima M. Dirichlet forms, diffusion processes and spectral dimensions for nested fractals. Ideas and Methods in Mathematical Analysis, Stochastics, and Applications, Oslo, 1988. 1992;Cambridge Univ. Press, Cambridge. p. 151-161.
-
(1992)
Ideas and Methods in Mathematical Analysis, Stochastics, and Applications, Oslo, 1988
-
-
Fukushima, M.1
-
12
-
-
77951516336
-
A harmonic calculus on the Sierpiński spaces
-
Kigami J. A harmonic calculus on the Sierpiński spaces. Japan J. Appl. Math. 6:1989;259-290.
-
(1989)
Japan J. Appl. Math.
, vol.6
, pp. 259-290
-
-
Kigami, J.1
-
13
-
-
84924341601
-
Harmonic calculus on p.c.f. self-similar sets
-
Kigami J. Harmonic calculus on p.c.f. self-similar sets. Trans. Amer. Math. Soc. 335:1993;721-755.
-
(1993)
Trans. Amer. Math. Soc.
, vol.335
, pp. 721-755
-
-
Kigami, J.1
-
15
-
-
84973971662
-
Effective resistance for harmonic structures on p.c.f. self-similar sets
-
Kigami J. Effective resistance for harmonic structures on p.c.f. self-similar sets. Math. Proc. Cambridge Philos. Soc. 115:1994;291-303.
-
(1994)
Math. Proc. Cambridge Philos. Soc.
, vol.115
, pp. 291-303
-
-
Kigami, J.1
-
17
-
-
0002343091
-
Harmonic calculus on limits of networks and its application to dendrites
-
Kigami J. Harmonic calculus on limits of networks and its application to dendrites. J. Funct. Anal. 128:1995;48-86.
-
(1995)
J. Funct. Anal.
, vol.128
, pp. 48-86
-
-
Kigami, J.1
-
18
-
-
84972549594
-
Hausdorff dimensions of self-similar sets and shortest path metrics
-
Kigami J. Hausdorff dimensions of self-similar sets and shortest path metrics. J. Math. Soc. Japan. 47:1995;381-404.
-
(1995)
J. Math. Soc. Japan
, vol.47
, pp. 381-404
-
-
Kigami, J.1
-
19
-
-
0000406745
-
Distributions of localized eigenvalues of Laplacians on p.c.f. self-similar sets
-
Kigami J. Distributions of localized eigenvalues of Laplacians on p.c.f. self-similar sets. J. Funct. Anal. 156:1998;170-198.
-
(1998)
J. Funct. Anal.
, vol.156
, pp. 170-198
-
-
Kigami, J.1
-
21
-
-
21344480546
-
Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar fractals
-
Kigami J., Lapidus M. L. Weyl's problem for the spectral distribution of Laplacians on p.c.f. self-similar fractals. Comm. Math. Phys. 158:1993;93-125.
-
(1993)
Comm. Math. Phys.
, vol.158
, pp. 93-125
-
-
Kigami, J.1
Lapidus, M.L.2
-
23
-
-
85008054100
-
Dirichlet forms on fractals and products of random matrices
-
Kusuoka S. Dirichlet forms on fractals and products of random matrices. Publ. Res. Inst. Math. Sci. 25:1989;659-680.
-
(1989)
Publ. Res. Inst. Math. Sci.
, vol.25
, pp. 659-680
-
-
Kusuoka, S.1
-
24
-
-
0012522288
-
Lecture on diffusion process on nested fractals
-
Berlin: Springer-Verlag. p. 39-98
-
Kusuoka S. Lecture on diffusion process on nested fractals. Lecture Notes in Mathematics. 1993;Springer-Verlag, Berlin. p. 39-98.
-
(1993)
Lecture Notes in Mathematics
-
-
Kusuoka, S.1
-
25
-
-
0001313307
-
Analysis on fractals, Laplacians on self-similar sets, noncommutative geometry and spectral dimensions
-
Lapidus M. L. Analysis on fractals, Laplacians on self-similar sets, noncommutative geometry and spectral dimensions. Topol. Methods Nonlinear Anal. 4:1994;137-195.
-
(1994)
Topol. Methods Nonlinear Anal.
, vol.4
, pp. 137-195
-
-
Lapidus, M.L.1
-
27
-
-
0000311503
-
Brownian motion on nested fractals
-
Lindstrøm T. Brownian motion on nested fractals. Mem. Amer. Math. Soc. 420:1989.
-
(1989)
Mem. Amer. Math. Soc.
, vol.420
-
-
Lindstrøm, T.1
-
28
-
-
0037571676
-
Pure point spectrum of the Laplacians on fractal graphs
-
Malozemov L., Teplyaev A. Pure point spectrum of the Laplacians on fractal graphs. J. Funct. Anal. 129:1994;390-405.
-
(1994)
J. Funct. Anal.
, vol.129
, pp. 390-405
-
-
Malozemov, L.1
Teplyaev, A.2
-
29
-
-
0042387082
-
Gaussian and non-Gaussian estimates for heat kernels on the Sierpiński gasket
-
Berlin: de Gruyter. p. 283-289
-
Metz V., Sturm K.-T. Gaussian and non-Gaussian estimates for heat kernels on the Sierpiński gasket. Dirichlet Forms and Stochastic Processes, Beijing, 1993. 1995;de Gruyter, Berlin. p. 283-289.
-
(1995)
Dirichlet Forms and Stochastic Processes, Beijing, 1993
-
-
Metz, V.1
Sturm, K.-T.2
-
30
-
-
1842730303
-
Piecewise linear wavelets on Sierpiński gasket type fractals
-
Strichartz R. S. Piecewise linear wavelets on Sierpiński gasket type fractals. J. Fourier Anal. Appl. 3:1997;387-416.
-
(1997)
J. Fourier Anal. Appl.
, vol.3
, pp. 387-416
-
-
Strichartz, R.S.1
-
31
-
-
0032393182
-
Fractals in the large
-
Strichartz R. S. Fractals in the large. Canad. J. Math. 50:1998;638-657.
-
(1998)
Canad. J. Math.
, vol.50
, pp. 638-657
-
-
Strichartz, R.S.1
-
32
-
-
22644452491
-
Isoperimetric estimates on Sierpiński gasket type fractals
-
Strichartz R. S. Isoperimetric estimates on Sierpiński gasket type fractals. Trans. Amer. Math. Soc. 351:1999;1705-1752.
-
(1999)
Trans. Amer. Math. Soc.
, vol.351
, pp. 1705-1752
-
-
Strichartz, R.S.1
-
33
-
-
0033145310
-
Some properties of Laplacians on fractals
-
Strichartz R. S. Some properties of Laplacians on fractals. J. Funct. Anal. 164:1999;181-208.
-
(1999)
J. Funct. Anal.
, vol.164
, pp. 181-208
-
-
Strichartz, R.S.1
-
34
-
-
0002586468
-
Taylor approximations on Sierpiński gasket type fractals
-
Strichartz R. S. Taylor approximations on Sierpiński gasket type fractals. J. Funct. Anal. 174:2000;76-127.
-
(2000)
J. Funct. Anal.
, vol.174
, pp. 76-127
-
-
Strichartz, R.S.1
-
35
-
-
0000604124
-
Spectral analysis on infinite Sierpiński Gaskets
-
Teplyaev A. Spectral analysis on infinite Sierpiński Gaskets. J. Funct. Anal. 159:1998;537-567.
-
(1998)
J. Funct. Anal.
, vol.159
, pp. 537-567
-
-
Teplyaev, A.1
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