Horizons of Fractal Geometry and Complex Dimensions

Robert G. Niemeyer, Metropolitan State University of Denver, CO.Erin P. J. Pearse, California Polytechnic State University, San Luis Obispo, CA.John A. Rock, California State Polytechnic University, Pomona, CA.Tony Samuel, University of Birmingham, Edgbaston, Birmingham, United Kingdom, and California Polytechnic State University, San Luis Obispo, CA.

• D. Allen and S. Troscheit, The mass transference principle: Ten years onM. Baake and A. Haynes, A measure-theoretic result for approximation by Delone setsM. F. Barnsley and A. Vince, Self-similar tilings of fractal blow-upsT. Eichinger and S. Winter, Regularly varying functions, generalized contents, and the spectrum of fractal stringsK. Falk, Dimensions of limit sets of Kleinian groupsM. van Frankenhuijsen, The spectral operator and resonancesM. Kessebohmer, T. Samuel, and H. Weyer, Measure-geometric Laplacians for discrete distributionsM. L. Lapidus, An overview of complex fractal dimensions: From fractal strings to fractal drums, and backP. Pollack and C. Pomerance, Eigenvalues of the Laplacian on domains with fractal boundaryM. Zahle and E. Schneider, Forward integrals and SDE with the fractal noise.