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math-ph2013★ 26 cited
Spectral dimension and diffusion in multi-scale spacetimes
Gianluca Calcagni, Giuseppe Nardelli
Starting from a classical-mechanics stochastic model encoded in a Langevin equation, we derive the natural diffusion equation associated with three classes of multiscale spacetimes…
math-ph2012★ 28 cited
Momentum transforms and Laplacians in fractional spaces
Gianluca Calcagni, Giuseppe Nardelli
We define an infinite class of unitary transformations between position and momentum fractional spaces, thus generalizing the Fourier transform to a special class of fractal geomet…