The Feynman Integral and Feynman's Operational Calculus GW Johnson Clarendon Press, 2000 | 530 | 2000 |
Weyl's problem for the spectral distribution of Laplacians on pcf self-similar fractals J Kigami, ML Lapidus Communications in mathematical physics 158, 93-125, 1993 | 369 | 1993 |
Fractal geometry, complex dimensions and zeta functions: geometry and spectra of fractal strings ML Lapidus, M Van Frankenhuijsen Springer Science & Business Media, 2012 | 357 | 2012 |
Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture ML Lapidus Transactions of the American Mathematical Society 325 (2), 465-529, 1991 | 324 | 1991 |
The Riemann Zeta‐Function and the One‐Dimensional Weyl‐Berry Conjecture for Fractal Drums ML Lapidus, C Pomerance Proceedings of the London Mathematical Society 3 (1), 41-69, 1993 | 265 | 1993 |
Fractal Geometry and Number Theory: Complex dimensions of fractal strings and zeros of zeta functions ML Lapidus, M Van Frankenhuysen Springer Science & Business Media, 2013 | 226 | 2013 |
Vibrations of fractal drums, the Riemann hypothesis, waves in fractal media and the Weyl-Berry conjecture ML Lapidus Pitman Research Notes in Mathematics Series, 126-126, 1993 | 152 | 1993 |
The Riemann hypothesis and inverse spectral problems for fractal strings ML Lapidus, H Maier Journal of the London Mathematical Society 52 (1), 15-34, 1995 | 137 | 1995 |
In Search of the Riemann Zeros: Strings, fractal membranes and noncommutative spacetimes ML Lapidus American Mathematical Soc., 2008 | 119 | 2008 |
Fractal zeta functions and fractal drums ML Lapidus, G Radunović, D Žubrinić Springer Monographs in Mathematics. Springer, Cham, 2017 | 109 | 2017 |
Counterexamples to the modified Weyl–Berry conjecture on fractal drums ML Lapidus, C Pomerance Mathematical Proceedings of the Cambridge Philosophical Society 119 (1), 167-178, 1996 | 106 | 1996 |
Generalized Minkowski Content, Spectrum of Fractal Drums, Fractal Strings and the Riemann Zeta-Functions CQ He, ML Lapidus American Mathematical Soc., 1997 | 104 | 1997 |
Dirac operators and spectral triples for some fractal sets built on curves E Christensen, C Ivan, ML Lapidus Advances in Mathematics 217 (1), 42-78, 2008 | 96 | 2008 |
Spectral and fractal geometry: From the Weyl-Berry conjecture for the vibrations of fractal drums to the Riemann zeta-function ML Lapidus Mathematics in Science and Engineering 186, 151-181, 1992 | 89 | 1992 |
Fractal geometry and applications: a jubilee of Benoît Mandelbrot BBMML Lapidus, M Van Frankenhuysen American Mathematical Soc., 2004 | 87* | 2004 |
Eigenvalues of elliptic boundary value problems with an indefinite weight function J Fleckinger, ML Lapidus Transactions of the American Mathematical Society 295 (1), 305-324, 1986 | 76 | 1986 |
Snowflake harmonics and computer graphics: numerical computation of spectra on fractal drums ML Lapidus, JW Neuberger, RJ Renka, CA Griffith International Journal of Bifurcation and Chaos 6 (07), 1185-1210, 1996 | 74 | 1996 |
Analysis on fractals, Laplacians on self-similar sets, noncommutative geometry and spectral dimensions ML Lapidus | 74 | 1994 |
A tube formula for the Koch snowflake curve, with applications to complex dimensions ML Lapidus, EPJ Pearse Journal of the London Mathematical Society 74 (2), 397-414, 2006 | 66 | 2006 |
Towards a Noncommutative Fractal Geometry. Laplacians and Volume Measures on Fractals ML Lapidus NASA, 1997 | 66 | 1997 |