Criteria for Spectral Gaps of Laplacians on Fractals

Brownian motion on the Sierpinski gasket

Martin T. Barlow, Edwin Perkins · Probability Theory and Related Fields · 1988 · 544 citations · Full text

Engineering, Materials Science, Physics +13

Diffusion on fractals

Ben O’Shaughnessy, Itamar Procaccia · Physical review. A, General physics · 1985 · 342 citations

Natural Sciences, Materials Science, Condensed Matter Physics +12

Harmonic calculus on p.c.f.\ self-similar sets

Jun Kigami · Transactions of the American Mathematical Society · 1993 · 329 citations · Full text

Natural Sciences, Mathematics, Physics +17

On a spectral analysis for the Sierpinski gasket

Masatoshi Fukushima, T. Shima · Potential Analysis · 1992 · 300 citations

Natural Sciences, Materials Science, Mechanical Engineering +9

Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals

Jun Kigami, Michel L. Lapidus · Communications in Mathematical Physics · 1993 · 276 citations

Natural Sciences, Mathematics, Physics +12