Svitlana Mayboroda | Academic Influence

Svitlana Mayboroda's AcademicInfluence.com Rankings

Svitlana Mayboroda

Mathematics

#2941

World Rank

#4431

Historical Rank

Harmonic Analysis

#18

World Rank

#19

Historical Rank

Measure Theory

#4138

World Rank

#4876

Historical Rank

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Mathematics

Svitlana Mayboroda's Degrees

PhD Mathematics University of Chicago
Masters Mathematics University of Chicago
Bachelors Mathematics Taras Shevchenko National University of Kyiv

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Why Is Svitlana Mayboroda Influential?

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According to Wikipedia, Svitlana Mayboroda is a Ukrainian mathematician who works as a professor of mathematics at the University of Minnesota and ETH Zurich. Research Mayboroda's research concerns harmonic analysis and partial differential equations, including boundary value problems for elliptic partial differential equations. Her work has provided a new mathematical approach to Anderson localization, a phenomenon in physics in which waves are confined to a local region rather than propagating throughout a medium, and with this explanation she can predict the regions in which waves will be confined.

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Svitlana Mayboroda's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Hardy and BMO spaces associated to divergence form elliptic operators (2006) (265)
Second order elliptic operators with complex bounded measurable coefficients in L p , Sobolev and Hardy spaces (2010) (160)
Universal mechanism for Anderson and weak localization (2012) (138)
Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators (2012) (103)
Interpolation of Hardy-Sobolev-Besov-Triebel-Lizorkin Spaces and Applications to Problems in Partial Differential Equations (2006) (99)
Effective Confining Potential of Quantum States in Disordered Media. (2015) (81)
Localization landscape theory of disorder in semiconductors. III. Application to carrier transport and recombination in light emitting diodes (2017) (76)
Localization landscape theory of disorder in semiconductors. I. Theory and modeling (2017) (72)
Rectifiability of harmonic measure (2015) (71)
Uniform Rectifiability, Carleson measure estimates, and approximation of harmonic functions (2014) (54)
The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients (2013) (52)
Sharp estimates for green potentials on non-smooth domains (2004) (47)
Localization of eigenfunctions via an effective potential (2017) (46)
Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces (2013) (46)
Computing Spectra without Solving Eigenvalue Problems (2017) (43)
Strong localization induced by one clamped point in thin plate vibrations. (2009) (39)
Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation (2009) (35)
Layer potentials and boundary value problems for elliptic equations with complex $L^{\infty}$ coefficients satisfying the small Carleson measure norm condition (2013) (34)
Elliptic Theory for Sets with Higher Co-dimensional Boundaries (2017) (31)
Uniform Rectifiability and Harmonic Measure III: Riesz transform bounds imply uniform rectifiability of boundaries of 1-sided NTA domains (2012) (28)
Dahlberg's theorem in higher co-dimension (2017) (28)
Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition (2017) (26)
Fundamental matrices and Green matrices for non-homogeneous elliptic systems (2016) (25)
Regularity of solutions to the polyharmonic equation in general domains (2012) (25)
Dual landscapes in Anderson localization on discrete lattices (2015) (22)
The connections between Dirichlet, regularity and Neumann problems for second order elliptic operators with complex bounded measurable coefficients (2010) (21)
Boundedness of the square function and rectifiability (2009) (21)
One Single Static Measurement Predicts Wave Localization in Complex Structures. (2016) (21)
Square function estimates on layer potentials for higher‐order elliptic equations (2015) (20)
The poisson problem on Lipschitz domains (2005) (19)
Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey (2016) (18)
Harmonic Measure Is Absolutely Continuous with Respect to the Hausdorff Measure on All Low-Dimensional Uniformly Rectifiable Sets (2020) (18)
Transference of scale-invariant estimates from Lipschitz to Non-tangentially accessible to Uniformly rectifiable domains (2019) (17)
Square function estimates, the BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets (2018) (17)
Elliptic theory in domains with boundaries of mixed dimension (2020) (17)
The Poisson Problem for the Lamé System on Low-dimensional Lipschitz Domains (2006) (17)
The Dirichlet problem for higher order equations in composition form (2013) (15)
Pointwise estimates for the polyharmonic Green function in general domains (2009) (15)
Universality of fold-encoded localized vibrations in enzymes (2019) (14)
The landscape of Anderson localization in a disordered medium (2013) (14)
Local Hardy spaces associated with inhomogeneous higher order elliptic operators (2017) (14)
The landscape law for the integrated density of states (2019) (14)
Harmonic measure on sets of codimension larger than one (2016) (13)
Square functions, nontangential limits, and harmonic measure in codimension larger than 1 (2021) (12)
Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions (2020) (11)
Square functions, non-tangential limits and harmonic measure in co-dimensions larger than one. (2018) (11)
Carleson perturbations of elliptic operators on domains with low dimensional boundaries (2020) (10)
Finite square function implies integer dimension (2009) (10)
A New Elliptic Measure on Lower Dimensional Sets (2018) (10)
Boundedness of the Hessian of a Biharmonic Function in a Convex Domain (2006) (10)
The Dirichlet problem in domains with lower dimensional boundaries (2018) (10)
Absolute continuity between the surface measure and harmonic measure implies rectifiability (2015) (9)
Maximal Function Characterizations of Hardy Spaces Associated to Homogeneous Higher Order Elliptic Operators (2015) (9)
Exponential decay estimates for fundamental solutions of Schrödinger-type operators (2018) (9)
Bounds on layer potentials with rough inputs for higher order elliptic equations (2017) (8)
The effective potential of an M-matrix (2021) (8)
Uniform rectifiability and elliptic operators with small Carleson norm (2017) (8)
Dirichlet and Neumann boundary values of solutions to higher order elliptic equations (2017) (8)
Polyharmonic capacity and Wiener test of higher order (2014) (8)
Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains (2014) (7)
Carleson Measure Estimates for the Green Function (2021) (6)
The Dirichlet problem for elliptic operators having a BMO anti-symmetric part (2019) (6)
Nontangential Estimates on Layer Potentials and the Neumann Problem for Higher-Order Elliptic Equations (2018) (6)
A free boundary problem for the localization of eigenfunctions (2014) (5)
Dual hidden landscapes in Anderson localization on discrete lattices (2014) (5)
Green function estimates on complements of low-dimensional uniformly rectifiable sets (2021) (5)
Good elliptic operators on Cantor sets (2020) (5)
Localization of eigenfunctions of a one-dimensional elliptic operator (2012) (5)
Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials (2020) (5)
The Hidden Landscape of Localization (2011) (4)
Higher-order elliptic equations in non-smooth domains: history and recent results (2015) (4)
Sharp estimates for the integrated density of states in Anderson tight-binding models (2020) (4)
Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension one Hausdorff measure (2015) (4)
Carleson estimates for the Green function on domains with lower dimensional boundaries (2021) (3)
Spectral functions and localization-landscape theory in speckle potentials (2021) (3)
The Landscape Law for Tight Binding Hamiltonians (2021) (3)
$$L^p$$ theory for the square roots and square functions of elliptic operators having a BMO anti-symmetric part (2019) (3)
Wigner-Weyl description of light absorption in disordered semiconductor alloys using the localization landscape theory (2021) (2)
Square function and Riesz transform in non-integer dimensions (2009) (2)
Boundedness of the gradient and Wiener test for the solutions of the biharmonic equation (2007) (1)
Filoche et al. Reply. (2020) (1)
Carleson perturbations for the regularity problem (2022) (1)
The Regularity Problem in Domains with Lower Dimensional Boundaries (2022) (1)
Green functions and smooth distances (2022) (1)
The Neumann problem for higher order elliptic equations with symmetric coefficients (2017) (1)
Preferential interaction paths for localized wave functions in disordered media (2017) (0)
Regularity of solutions to the polyharmonic equation in general domains (2013) (0)
On a Novel Effective Equation of the Reduced Hartree-Fock Theory (2021) (0)
Effective localization potential of quantum states in disordered media (2016) (0)
Harmonic Analysis and Applications (2020) (0)
Non-local distance functions and geometric regularity (2022) (0)
Critical Perturbations for Second Order Elliptic Operators. Part II: Non-tangential maximal function estimates (2023) (0)
Localizations of Eigenfunctions (2017) (0)
Introduction to AWM Research Symposium Lecture Sampler (2017) (0)
The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients (2014) (0)
Carrier localization induced by alloy disorder in nitride devices: theory and experiments (Conference Presentation) (2018) (0)
THE EFFECT OF DISORDER AND IRREGULARITIES ON SOLUTIONS TO BOUNDARY VALUE PROBLEMS AND SPECTRA OF DIFFERENTIAL OPERATORS (2019) (0)
Square-function estimates for singular integrals and applications to partial differential equations (2004) (0)
Polyharmonic capacity and Wiener test of higher order (2017) (0)
The Dirichlet problem for elliptic operators having a BMO anti-symmetric part (2021) (0)
Small $A_\infty$ results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries (2022) (0)
A New Elliptic Measure on Lower Dimensional Sets (2019) (0)
Localization of eigenfunctions (2017) (0)
Rectifiability of harmonic measure (2016) (0)

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