Michel L. Lapidus

Mathematical Physics · 2000–2017

A researcher in the Science corpus: 10 papers; trusts 1 researcher and is trusted by 6 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 9 citations into it; #3,727 of 8,562 by trust here, #1,961 by citations

Whom Michel L. Lapidus trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Steffen Winter

Who trusts Michel L. Lapidus overall

1. Oliver Knill
2. T. Banica
3. Joseph Keir
4. Steffen Winter
5. Yuri I. Manin
6. Erik Christensen
7. Erin P. J. Pearse
8. Günter Rottenfusser
9. H. Kempka
10. Dierk Schleicher

Papers from Michel L. Lapidus's perspective

Ordered by how strongly the researchers Michel L. Lapidus trusts endorse each paper. Same corpus, a different order for every researcher.

1. A local Steiner–type formula for general closed sets and applications
2. Chaos and Fractals
3. The Feynman Integral and Feynman's Operational Calculus
4. Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot
5. Curvature measures and fractals
6. Complex Dimensions and Zeta Functions: Geometry and spectra of fractal strings
7. Apollonian Circle Packings: Number Theory
8. Spectral triples for AF C*-algebras and metrics on the cantor set
9. Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
10. Random planar curves and Schramm-Loewner evolutions

Their papers

• Fractal Zeta Functions and Fractal Drums (2017) — 64 citations
• Complex Dimensions and Zeta Functions: Geometry and spectra of fractal strings (2012) — 208 citations
• Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators (2010) — 66 citations
• Dynamical, Spectral, and Arithmetic Zeta Functions (2006) — 87 citations
• Fractal Geometry, Complex Dimensions and Zeta Functions (2006) — 167 citations
• Dirac operators and spectral triples for some fractal sets built on curves (2006) — 79 citations
• Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions (2005) — 140 citations
• Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot (2004) — 245 citations
• Encyclopaedia of Mathematics, Supplement III (2002) — 57 citations
• The Feynman Integral and Feynman's Operational Calculus (2000) — 313 citations