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 on
M. Baake and A. Haynes, A measure-theoretic result for approximation by Delone sets
M. F. Barnsley and A. Vince, Self-similar tilings of fractal blow-ups
T. Eichinger and S. Winter, Regularly varying functions, generalized contents, and the spectrum of fractal strings
K. Falk, Dimensions of limit sets of Kleinian groups
M. van Frankenhuijsen, The spectral operator and resonances
M. Kessebohmer, T. Samuel, and H. Weyer, Measure-geometric Laplacians for discrete distributions
M. L. Lapidus, An overview of complex fractal dimensions: From fractal strings to fractal drums, and back
P. Pollack and C. Pomerance, Eigenvalues of the Laplacian on domains with fractal boundary
M. Zahle and E. Schneider, Forward integrals and SDE with the fractal noise.