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math-ph2008
Toward zeta functions and complex dimensions of multifractals
Michel L. Lapidus, John A. Rock
Multifractals are inhomogeneous measures (or functions) which are typically described by a full spectrum of real dimensions, as opposed to a single real dimension. Results from the…
math-ph2006★ 12 cited
Fractal Strings and Multifractal Zeta Functions
Michel L. Lapidus, Jacques Levy Vehel, John A. Rock
For a Borel measure on the unit interval and a sequence of scales that tend to zero, we define a one-parameter family of zeta functions called multifractal zeta functions. These fu…