Publications in Analysis and Partial Differential Equations

Asymptotic mean value formulas, nonlocal spacetime parabolic operators and anomalous tugofwar games
Part of Journal of Differential Equations, p. 150178, 2023.
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Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets
Part of Analysis & PDE, 2023.

Corona Decompositions for Parabolic Uniformly Rectifiable Sets
Part of The journal of geometric analysis, 2023.
DOI for Corona Decompositions for Parabolic Uniformly Rectifiable Sets

On local regularity estimates for fractional powers of parabolic operators with timedependent measurable coefficients
Part of Journal of evolution equations (Printed ed.), 2023.
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On regularity and existence of weak solutions to nonlinear KolmogorovFokkerPlanck type equations with rough coefficients
Part of MATHEMATICS IN ENGINEERING, p. 137, 2023.

On the regularity of multilinear Schrödinger integral operators
Part of Analysis and Applications, p. 385427, 2023.
DOI for On the regularity of multilinear Schrödinger integral operators

Tugofwar with Kolmogorov
Part of Journal of Differential Equations, p. 501558, 2023.
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CORONIZATIONS AND BIG PIECES IN METRIC SPACES
Part of Annales de l'Institut Fourier, p. 20372078, 2022.
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Deep learning, stochastic gradient descent and diffusion maps
Part of Journal of Computational Mathematics and Data Science, p. 100054100054, 2022.
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Extremal polynomials on a Jordan arc
Part of Journal of Approximation Theory, 2022.
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HawkesBased Models for High Frequency Financial Data
Part of Journal of the Operational Research Society, p. 21682185, 2022.
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Hermitian and nonHermitian perturbations of chiral Gaussian betaensembles
Part of Journal of Mathematical Physics, 2022.
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On a comparison principle for Trudinger's equation
Part of Advances in Calculus of Variations, p. 401415, 2022.
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On big pieces approximations of parabolic hypersurfaces
Part of Annales Academiae Scientiarum Fennicae Mathematica, p. 533571, 2022.

On (p,q)eigenvalues of subelliptic operators on homogeneous Lie groups
Part of TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, p. 207216, 2022.

Potential theory for a class of strongly degenerate parabolic operators of Kolmogorov type with rough coefficients
Part of Journal des Mathématiques Pures et Appliquées, p. 45100, 2022.

Widom factors for generalized Jacobi measures
Part of Journal of Mathematical Analysis and Applications, 2022.
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A mean value formula for the variational pLaplacian
Part of NoDEA. Nonlinear differential equations and applications (Printed ed.), 2021.
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Continuity of solutions to a nonlinear fractional diffusion equation
Part of Journal of evolution equations (Printed ed.), p. 43194381, 2021.
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Large time behavior of solutions of Trudinger's equation
Part of Journal of Differential Equations, p. 188230, 2021.
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Neural networks as smooth priors for inverse problems for PDEs
Part of Journal of Computational Mathematics and Data Science, 2021.
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Neural ODEs as the deep limit of ResNets with constant weights
Part of ANALYSIS AND APPLICATIONS, p. 397437, 2021.
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ON EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
Part of THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, p. 4960, 2021.
DOI for ON EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

On the fine properties of parabolic measures associated to strongly degenerate parabolic operators of Kolmogorov type
Part of Advances in Mathematics, 2021.
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Regularity of Fourier integral operators with amplitudes in general Hormander classes
Part of Analysis and Mathematical Physics, 2021.
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Schiffer operators and calculation of a determinant line in conformal field theory
Part of New York journal of mathematics, p. 253271, 2021.

The Dirichlet problem for KolmogorovFokkerPlanck type equations with rough coefficients
Part of Journal of Functional Analysis, 2021.
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The gradient flow of infinityharmonic potentials
Part of Advances in Mathematics, 2021.

UncertaintyAware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI
Part of Computerized Medical Imaging and Graphics, 2021.
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Boundary behavior of solutions to the parabolic pLaplace equation II
Part of Journal of Functional Analysis, 2020.
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Dirichlet spaces of domains bounded by quasicircles
Part of Communications in Contemporary Mathematics, 2020.

L2 wellposedness of boundary value problems and the Kato square root problem for parabolic systems with measurable coefficients
Part of Journal of the European Mathematical Society (Print), p. 29433058, 2020.

Schiffer comparison operators and approximations on Riemann surfaces bordered by quasicircles
Part of Journal of Geometric Analysis, p. 58775908, 2020.
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TRANSMISSION OF HARMONIC FUNCTIONS THROUGH QUASICIRCLES ON COMPACT RIEMANN SURFACES
Part of Annales Academiae Scientiarum Fennicae Mathematica, p. 11101133, 2020.
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A Model of the Teichmüller space of genuszero bordered surfaces by period maps
Part of Conformal Geometry and Dynamics, p. 3251, 2019.
DOI for A Model of the Teichmüller space of genuszero bordered surfaces by period maps