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math.MG2017
Regularly Varying Functions, Generalized contents, and the spectrum of fractal strings
Tobias Eichinger, Steffen Winter
We revisit the problem of characterizing the eigenvalue distribution of the Dirichlet-Laplacian on bounded open sets with fractal boundaries. It is well-known…
math.MG2010★ 4 cited
Curvature Bounds for Neighborhoods of Self-Similar Sets
Steffen Winter
In some recent work, fractal curvatures C^f_k(F) and fractal curvature measures C^f_k(F, .), k = 0, ..., d, have been determined for all self-similar sets F in R^d, for which the p…