Robert S. Strichartz

Mathematics · Physical Sciences

44h-index9.5kcitations261works0.02yr avg
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Research Topics

Mathematical Dynamics and Fractals(136), Mathematical Analysis and Transform Methods(67), Advanced Mathematical Modeling in Engineering(38), advanced mathematical theories(36), Theoretical and Computational Physics(33)

Publications261 total

Geometry and Laplacian on discrete magic carpets
Journal of Fractal Geometry Mathematics of Fractals and Related Topics·2023· 1 citedOpen Access
EIGENVALUES OF LAPLACIANS ON HIGHER DIMENSIONAL VICSEK SET GRAPHS
Fractals·2021Open Access
Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps
Advances in Mathematics·2021· 9 cited
Construction of orthonormal wavelets
2021· 15 cited
Spectral Analysis Beyond $$\ell ^2$$ on Sierpinski Lattices
Journal of Fourier Analysis and Applications·2021· 2 cited
Sobolev Orthogonal Polynomials on the Sierpinski Gasket
Journal of Fourier Analysis and Applications·2021· 2 cited
Polynomials on the Sierpiński gasket with respect to different Laplacians which are symmetric and self-similar
Journal of Fractal Geometry Mathematics of Fractals and Related Topics·2020Open Access
Spectrum of the Laplacian on regular polyhedra
Communications on Pure &amp Applied Analysis·2020Open Access
Sobolev Orthogonal Polynomials on the Sierpinski Gasket
arXiv (Cornell University)·2020Open Access
Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps
arXiv (Cornell University)·2020· 4 citedOpen Access
PREFACE
Princeton University Press eBooks·2020
Spectral Properties of Laplacians on Snowflake Domains and Filled Julia Sets
Experimental Mathematics·2020· 2 citedOpen Access
BACK MATTER
Fractals and dynamics in mathematics, science and the arts·2020
FRONT MATTER
Fractals and dynamics in mathematics, science and the arts·2020
Analysis on the Projective Octagasket
Fractals and dynamics in mathematics, science and the arts·2020· 1 cited
Laplacians on Julia sets of rational maps
arXiv (Cornell University)·2020Open Access
A trace theorem for Sobolev spaces on the Sierpinski gasket
Communications on Pure &amp Applied Analysis·2020· 5 citedOpen Access
The mathieu differential equation and generalizations to infinite fractafolds
Communications on Pure &amp Applied Analysis·2019· 3 citedOpen Access
Analysis, Probability and Mathematical Physics on Fractals
Fractals and dynamics in mathematics, science and the arts·2019· 12 cited
Spectral decimation for families of self-similar symmetric Laplacians on the Sierpiński gasket
Journal of Fractal Geometry Mathematics of Fractals and Related Topics·2019· 5 cited
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Frequent Co-authors

Alexander Teplyaev(3), John A. Synowiec(1), Oren Ben-Bassat(1), Kyallee Dalrymple(1), Jade P. Vinson(1), Yang Wang(1), Junxian Li(1), R. Kenyon(1), Elizabeth Ayer(1), Arthur C. Taylor(1), Tong Zhang(1), Michael Usher(1), Jun Kigami(1), Katharine C. Walker(1), Bryant Adams(1), S. Alex Smith(1)