-
1
-
-
0007279035
-
On the spectrum of Hecke type operators related to some fractal groups
-
Bartholdi, L. and Grigorchuk, R. I.: On the spectrum of Hecke type operators related to some fractal groups, Mat. Inst. Steklova, Din. Sist., Avtom. i Beskon. Gruppy 231 (2000), 5-45; translation in Proc. Steklov Inst. Math. 2000, No. 4 (231), 1-41.
-
(2000)
Mat. Inst. Steklova, Din. Sist., Avtom. i Beskon. Gruppy
, vol.231
, pp. 5-45
-
-
Bartholdi, L.1
Grigorchuk, R.I.2
-
2
-
-
3543000455
-
-
translation
-
Bartholdi, L. and Grigorchuk, R. I.: On the spectrum of Hecke type operators related to some fractal groups, Mat. Inst. Steklova, Din. Sist., Avtom. i Beskon. Gruppy 231 (2000), 5-45; translation in Proc. Steklov Inst. Math. 2000, No. 4 (231), 1-41.
-
(2000)
Proc. Steklov Inst. Math.
, vol.4
, Issue.231
, pp. 1-41
-
-
-
3
-
-
3543001615
-
Renormalization group analysis and quasicrystals
-
Cambridge Univ. Press, Cambridge
-
Béllissard, J.: Renormalization group analysis and quasicrystals, In: Ideas and Methods in Quantum and Statistical Physics (Oslo, 1988), Cambridge Univ. Press, Cambridge, 1992, pp. 118-148.
-
(1992)
Ideas and Methods in Quantum and Statistical Physics (Oslo, 1988)
, pp. 118-148
-
-
Béllissard, J.1
-
4
-
-
84950357804
-
Invariant sets under iteration of rational functions
-
Brolin, H.: Invariant sets under iteration of rational functions, Ark. Mat. 6 (1965), 103-144.
-
(1965)
Ark. Mat.
, vol.6
, pp. 103-144
-
-
Brolin, H.1
-
5
-
-
0002832308
-
On a spectral analysis for the Sierpiński gasket
-
Fukushima, M. and 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
-
6
-
-
0034311754
-
On a question of Atiyah
-
Grigorchuk, R. I., Linnell, P., Schick, T. and Żuk, A.: On a question of Atiyah, C.R. Acad. Sci. Paris Sér. I Math. 331(9) (2000), 663-668.
-
(2000)
C.R. Acad. Sci. Paris Sér. I Math.
, vol.331
, Issue.9
, pp. 663-668
-
-
Grigorchuk, R.I.1
Linnell, P.2
Schick, T.3
Zuk, A.4
-
7
-
-
3543043095
-
The lamplighter group as a group generated by a 2-state automaton, and its spectrum
-
Grigorchuk, R. I. and Żuk, A.: The lamplighter group as a group generated by a 2-state automaton, and its spectrum, Geom. Dedicata 100 (2003), 000-000.
-
(2003)
Geom. Dedicata
, vol.100
-
-
Grigorchuk, R.I.1
Zuk, A.2
-
9
-
-
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
-
10
-
-
0004075170
-
-
Cambridge Univ. Press, Cambridge
-
Kigami, J.: Analysis on Fractals, Cambridge Univ. Press, Cambridge, 2001.
-
(2001)
Analysis on Fractals
-
-
Kigami, J.1
-
11
-
-
0037963469
-
Green functions of self-similar graphs and bounds for the spectrum of the Laplacian
-
Krön, B.: Green functions of self-similar graphs and bounds for the spectrum of the Laplacian, Ann. Inst. Fourier 52(6) (2002), 1875-1900.
-
(2002)
Ann. Inst. Fourier
, vol.52
, Issue.6
, pp. 1875-1900
-
-
Krön, B.1
-
13
-
-
0000430442
-
Regularity closedness and spectral dimensions of the Dirichlet forms on P.C.F. self-similar sets
-
Kumagai, T.: Regularity, closedness and spectral dimensions 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
-
-
Kumagai, T.1
-
14
-
-
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
-
15
-
-
3543013147
-
Spectral theory of the differential Laplacian on the modified Koch curve
-
Contemp. Math. 173, Amer. Math. Soc., Providence, RI
-
Malozemov, L.: Spectral theory of the differential Laplacian on the modified Koch curve, Geometry of the Spectrum (Seattle, WA, 1993), Contemp. Math. 173, Amer. Math. Soc., Providence, RI, 1994, pp. 193-224.
-
(1994)
Geometry of the Spectrum (Seattle, WA, 1993)
, pp. 193-224
-
-
Malozemov, L.1
-
16
-
-
0037571676
-
Pure point spectrum of the Laplacians on fractal graphs
-
Malozemov, L. and 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
-
17
-
-
0021372307
-
Spectrum of harmonic excitations on fractals
-
Rammal, R.: Spectrum of harmonic excitations on fractals, J. Phys. 45 (1984), 191-206.
-
(1984)
J. Phys.
, vol.45
, pp. 191-206
-
-
Rammal, R.1
-
18
-
-
0020498687
-
Random walks on fractal structures and percolation clusters
-
Rammal, R. and Toulouse, G.: Random walks on fractal structures and percolation clusters, J. Phys. Lett. 44 (1983), L13-L22.
-
(1983)
J. Phys. Lett.
, vol.44
-
-
Rammal, R.1
Toulouse, G.2
-
20
-
-
3543013718
-
The eigenvalue problem for the Laplacian on the Sierpiński gasket
-
Pitman Res. Notes Math. Ser. 283, Longman, Harlow
-
Shima, T.: The eigenvalue problem for the Laplacian on the Sierpiński gasket, In: Asymptotic Problems in Probability Theory: Stochastic Models and Diffusions on Fractals (Sanda/Kyoto, 1990), Pitman Res. Notes Math. Ser. 283, Longman, Harlow, 1993, pp. 279-288.
-
(1993)
Asymptotic Problems in Probability Theory: Stochastic Models and Diffusions on Fractals (Sanda/Kyoto, 1990)
, pp. 279-288
-
-
Shima, T.1
-
21
-
-
0000381989
-
On eigenvalue problems for the random walks on the Sierpiński pre-gaskets
-
Shima, T.: On eigenvalue problems for the random walks on the Sierpiński pre-gaskets, Japan J. Indust. Appl. Math. 8 (1991), 127-141.
-
(1991)
Japan J. Indust. Appl. Math.
, vol.8
, pp. 127-141
-
-
Shima, T.1
-
22
-
-
0002230189
-
On eigenvalue problems for Laplacians on p.c.f. self-similar sets
-
Shima, T.: On eigenvalue problems for Laplacians on p.c.f. self-similar sets, Japan J. Indust. Appl. Math. 13 (1996), 1-23.
-
(1996)
Japan J. Indust. Appl. Math.
, vol.13
, pp. 1-23
-
-
Shima, T.1
-
23
-
-
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
-
24
-
-
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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