-
1
-
-
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. (2). 56:1997;320-332.
-
(1997)
J. London Math. Soc. (2)
, vol.56
, pp. 320-332
-
-
Barlow, M.T.1
Kigami, J.2
-
3
-
-
0001511211
-
What is not in the domain of the Laplacian on a Sierpinski gasket type fractal
-
O. Ben-Bassat, R. Strichartz, A. Teplyaev, What is not in the domain of the Laplacian on a Sierpinski gasket type fractal, J. Funct. Anal.
-
J. Funct. Anal.
-
-
Ben-Bassat, O.1
Strichartz, R.2
Teplyaev, A.3
-
4
-
-
49549162581
-
Essential self-adjointness of powers of generators of hyperbolic equations
-
Chernoff P. Essential self-adjointness of powers of generators of hyperbolic equations. J. Funct. Anal. 12:1973;401-414.
-
(1973)
J. Funct. Anal.
, vol.12
, pp. 401-414
-
-
Chernoff, P.1
-
6
-
-
0002832308
-
On a spectral analysis for the Sierpinski gasket
-
Fukushima M., Shima T. On a spectral analysis for the Sierpinski gasket. Potential Anal. 1:1992;1-35.
-
(1992)
Potential Anal.
, vol.1
, pp. 1-35
-
-
Fukushima, M.1
Shima, T.2
-
7
-
-
84968508586
-
Noncommuting random products
-
Furstenberg H. Noncommuting random products. Trans. Amer. Math. Soc. 108:1963;377-428.
-
(1963)
Trans. Amer. Math. Soc.
, vol.108
, pp. 377-428
-
-
Furstenberg, H.1
-
9
-
-
0001582569
-
Random walks and diffusions on fractals
-
Percolation Theory and Ergodic Theory of Infinite Particle Systems. H. Kesten. New York: Springer
-
Goldstein S. Random walks and diffusions on fractals. Kesten H., Percolation Theory and Ergodic Theory of Infinite Particle Systems. IMA Math. Appl. 8:1987;121-129 Springer, New York.
-
(1987)
IMA Math. Appl.
, vol.8
, pp. 121-129
-
-
Goldstein, S.1
-
10
-
-
77951516336
-
A harmonic calculus on the Sierpinski spaces
-
Kigami J. A harmonic calculus on the Sierpinski spaces. Jpn. J. Appl. Math. 6:1989;259-290.
-
(1989)
Jpn. J. Appl. Math.
, vol.6
, pp. 259-290
-
-
Kigami, J.1
-
11
-
-
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
-
12
-
-
0000620294
-
Laplacians on self-similar sets and their spectral distributions
-
Progress in Probability. Basel: Birkhäuser. p. 221-238
-
Kigami J. Laplacians on self-similar sets and their spectral distributions. Fractal Geometry and Stochastics, Finsterbergen, 1994. Progress in Probability. 37:1995;Birkhäuser, Basel. p. 221-238.
-
(1995)
Fractal Geometry and Stochastics, Finsterbergen, 1994
, vol.37
-
-
Kigami, J.1
-
13
-
-
84973971662
-
Effective resistances for harmonic structures on p.c.f. self-similar sets
-
Kigami J. Effective resistances 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
-
14
-
-
0000406745
-
Distributions of localized eigenvalues of Laplacian on p.c.f. self-similar sets
-
198
-
Kigami J. Distributions of localized eigenvalues of Laplacian on p.c.f. self-similar sets. J. Funct. Anal. 156:198;170-198.
-
J. Funct. Anal.
, vol.156
, pp. 170-198
-
-
Kigami, J.1
-
16
-
-
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. Commun. Math. Phys. 158:1993;93-125.
-
(1993)
Commun. Math. Phys.
, vol.158
, pp. 93-125
-
-
Kigami, J.1
Lapidus, M.L.2
-
18
-
-
85008054100
-
Dirichlet forms on fractals and products of random matrices
-
Kusuoka S. Dirichlet forms on fractals and products of random matrices. Publ. RIMS. 25:1989;659-680.
-
(1989)
Publ. RIMS
, vol.25
, pp. 659-680
-
-
Kusuoka, S.1
-
19
-
-
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. Topolog. Methods in Nonlinear Anal. 4:1994;137-195.
-
(1994)
Topolog. Methods in Nonlinear Anal.
, vol.4
, pp. 137-195
-
-
Lapidus, M.L.1
-
20
-
-
0000311503
-
Brownian motion on nested fractals
-
Lindstrom T. Brownian motion on nested fractals. Mem. Amer. Math. Soc. 420:1989.
-
(1989)
Mem. Amer. Math. Soc.
, vol.420
-
-
Lindstrom, T.1
-
21
-
-
0000749451
-
Dirichlet forms and self-similarity
-
AMS/IP Studies in Advanced Math. Providence: American Math. Society. p. 117-155
-
Mosco U. Dirichlet forms and self-similarity. New Directions in Dirichlet Forms. AMS/IP Studies in Advanced Math. 8:1988;American Math. Society, Providence. p. 117-155.
-
(1988)
New Directions in Dirichlet Forms
, vol.8
-
-
Mosco, U.1
-
23
-
-
48749149923
-
Analysis of the Laplacian on a complete Riemannian manifold
-
Strichartz R. Analysis of the Laplacian on a complete Riemannian manifold. J. Funct. Anal. 52:1983;48-79.
-
(1983)
J. Funct. Anal.
, vol.52
, pp. 48-79
-
-
Strichartz, R.1
-
24
-
-
0032393182
-
Fractals in the large
-
Strichartz R. Fractals in the large. Can. J. Math. 50:1998;638-657.
-
(1998)
Can. J. Math.
, vol.50
, pp. 638-657
-
-
Strichartz, R.1
-
26
-
-
0000604124
-
Spectral analysis on infinite Sierpinski gaskets
-
Teplyaev A. Spectral analysis on infinite Sierpinski gaskets. J. Funct. Anal. 159:1998;537-567.
-
(1998)
J. Funct. Anal.
, vol.159
, pp. 537-567
-
-
Teplyaev, A.1
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