Green's function method approach to electron configuration of superlattices.
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Novi Sad Journal of Mathematics
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Vragović, I.D., Stojković, S.M., Šijačić, D., Šetrajčić, J.P. (2001)
Novi Sad Journal of Mathematics
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Let J be the Julia set of a conformal dynamics f. Provided that f is polynomial-like we prove that the harmonic measure on J is mutually absolutely continuous with the measure of maximal entropy if and only if f is conformally equivalent to a polynomial. This is no longer true for generalized polynomial-like maps. But for such dynamics the coincidence of classes of these two measures turns out to be equivalent to the existence of a conformal change of variable which reduces the dynamical...
T. D. Narang (1986)
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The famous result of geometric complex analysis, due to Fekete and Szegö, states that the transfinite diameter d(K), characterizing the asymptotic size of K, the Chebyshev constant τ(K), characterizing the minimal uniform deviation of a monic polynomial on K, and the capacity c(K), describing the asymptotic behavior of the Green function at infinity, coincide. In this paper we give a survey of results on multidimensional notions of transfinite diameter, Chebyshev constants and capacities,...
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Southwest Journal of Pure and Applied Mathematics [electronic only]
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