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Robert S. Strichartz

Robert S. Strichartz

D-Index & Metrics

Mathematics

D-Index
47
Citations
11997
World Ranking
1245
National Ranking
554

Research.com Recognitions

  • 2017 - Fellow of the American Mathematical Society For contributions to analysis and partial differential equations, for exposition, and for service to the mathematical community.

Overview

Robert S. Strichartz is affiliated with Cornell University in the United States. Their academic work spans primarily the fields of Mathematics and Physics and Astronomy, with a focus on several subfields including Mathematical Physics, Statistical and Nonlinear Physics, Geometry and Topology, Applied Mathematics, and Computational Theory and Mathematics.

Their research covers a range of topics including Mathematical Dynamics and Fractals, Quantum Chaos and Dynamical Systems, Geometric and Algebraic Topology, Mathematical Analysis and Transform Methods, Topological and Geometric Data Analysis, Mathematical Functions and Polynomials, and advanced mathematical theories.

Some of the recent papers authored or co-authored include:

  • Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps, 2021, Advances in Mathematics
  • A trace theorem for Sobolev spaces on the Sierpinski gasket, 2020, Communications on Pure & Applied Analysis
  • Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps, 2020, arXiv (Cornell University)
  • Sobolev Orthogonal Polynomials on the Sierpinski Gasket, 2021, Journal of Fourier Analysis and Applications
  • Spectral Properties of Laplacians on Snowflake Domains and Filled Julia Sets, 2020, Experimental Mathematics

Their frequent co-authors include:

  • Shiping Cao
  • Hua Qiu
  • Malte Hassler
  • Ely Sandine
  • Qingxuan Jiang

Strichartz has published repeatedly in several venues such as:

  • arXiv (Cornell University)
  • Communications on Pure & Applied Analysis
  • Journal of Fourier Analysis and Applications
  • Journal of Fractal Geometry Mathematics of Fractals and Related Topics
  • Fractals and dynamics in mathematics, science and the arts

In recognition of contributions to analysis, partial differential equations, exposition, and service to the mathematical community, Robert S. Strichartz was named a Fellow of the American Mathematical Society in 2017.

Best Publications

  • Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations

    Robert S. Strichartz

  • Analysis of the Laplacian on the Complete Riemannian Manifold

    Robert S Strichartz

  • A Guide to Distribution Theory and Fourier Transforms

    Robert S Strichartz

  • Sub-Riemannian geometry

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  • Differential Equations on Fractals: A Tutorial

    Robert S. Strichartz

  • Mock Fourier series and transforms associated with certain Cantor measures

    Robert S. Strichartz

  • The Campbell-Baker-Hausdorff-Dynkin formula and solutions of differential equations

    Robert S Strichartz

  • A priori estimates for the wave equation and some applications

    Robert S Strichartz

  • Convolutions with kernels having singularities on a sphere

    Robert S. Strichartz

  • ANALYSIS ON FRACTALS

    R. S. Strichartz

  • Convergence of mock Fourier series

    Robert S. Strichartz

  • fourier asymptotics of fractal measures

    Robert S. Strichartz

  • Self-similar measures and their Fourier transforms III

    R. S. Strichartz

  • Harmonic analysis as spectral theory of Laplacians

    Robert S. Strichartz

  • Lp harmonic analysis and Radon transforms on the Heisenberg group

    Robert S. Strichartz

  • Function spaces on fractals

    Robert S. Strichartz

  • Fractal differential equations on the Sierpinski gasket

    Kyallee Dalrymple;Robert S. Strichartz;Jade P. Vinson

  • Harmonic analysis on hyperboloids

    Robert S Strichartz

  • What Is Not in the Domain of the Laplacian on Sierpinski Gasket Type Fractals

    Oren Ben-Bassat;Robert S Strichartz;Alexander Teplyaev

  • Remarks on “Dense analytic subspaces in fractal L 2 -spaces” by P.E.T. Jorgensen and S. Pedersen

    Robert S. Strichartz

  • Fractafolds based on the Sierpinski gasket and their spectra

    Robert S. Strichartz

Frequent Co-Authors

Richard H. Rand
Richard H. Rand Cornell University
Arjun Raj
Arjun Raj University of Pennsylvania
Yang Wang
Yang Wang Hong Kong University of Science and Technology
Tong Zhang
Tong Zhang University of Illinois at Urbana-Champaign
Richard Kenyon
Richard Kenyon Yale University

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