R.S. Strichartz, A. Taylor and T. Zhang, Densities of self-similar measures on the line, Experimental Math. 4 (1995), 101-128 Home/Search Document Details and Download
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Hausdorff dimension and conformal dynamics III: Computation of.. - McMullen (1998) (3 citations) (Correct)
....results of that preprint appear in x2 and x3 below. Bowen applied the machinery of symbolic dynamics, Markov partitions and Gibbs states to study the Hausdorff dimension of limit sets in [4] Bodart and Zinsmeister studied H: dimJ(z 2 c) using a Monte Carlo algorithm [3] See also [28] and [23] for calculations for quadratic polynomials. This paper belongs to a three part series. Parts I and II study the continuity of Hausdorff dimension in families of Kleinian groups and rational maps [18] 19] The bibliographies to parts I and II provide further references. Notation. A i B means ....
R. S. Strichartz, A. Taylor, and T. Zhang. Densities of self-similar measures on the line. Experiment. Math. 4(1995), 101--128.
Cauchy Transforms of Self-Similar Measures - Lund, Strichartz, Vinson Self-citation (Strichartz) (Correct)
....K = S m j=1 S j K) We will usually assume that the i.f.s. satisfies the open set condition: there exists an open set U such that S j U U and the sets S j U are disjoint, which implies the measure separation condition [Schief 1994] S j U S k U ) 0 for j 6= k: 1 4) It was suggested in [Strichartz et al. 1995] that self similar identities (1 3) play a role for measures analogous to differential equations for functions. Part of this analogy is that there exist numerical methods to compute approximations to the solution of self similar identities (1 3) This is a relatively straightforward problem when ....
....play a role for measures analogous to differential equations for functions. Part of this analogy is that there exist numerical methods to compute approximations to the solution of self similar identities (1 3) This is a relatively straightforward problem when the underlying space is the line [Strichartz et al. 1995], but is a more challenging problem even for the plane. In this paper we show that there exist effective algorithms for approximating the Cauchy transform of self similar measures; together with (1 2) this gives one approach to the numerical approximation of the measure. One of the weaknesses of ....
R. S. Strichartz, A. Taylor, and T. Zhang, "Densities of self-similar measures on the line", Experiment. Math. 4:2 (1995), 101--128.
Self-Similar Measures - Bandt (Correct)
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R.S. Strichartz, A. Taylor and T. Zhang, Densities of self-similar measures on the line, Experimental Math. 4 (1995), 101-128
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