Publications in Analysis and Partial Differential Equations
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Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games
Part of Journal of Differential Equations, p. 150-178, 2023.
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Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets
Part of Analysis & PDE, 2023.
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Corona Decompositions for Parabolic Uniformly Rectifiable Sets
Part of The journal of geometric analysis, 2023.
DOI for Corona Decompositions for Parabolic Uniformly Rectifiable Sets
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On local regularity estimates for fractional powers of parabolic operators with time-dependent measurable coefficients
Part of Journal of evolution equations (Printed ed.), 2023.
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On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients
Part of MATHEMATICS IN ENGINEERING, p. 1-37, 2023.
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On the regularity of multilinear Schrödinger integral operators
Part of Analysis and Applications, p. 385-427, 2023.
DOI for On the regularity of multilinear Schrödinger integral operators
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Tug-of-war with Kolmogorov
Part of Journal of Differential Equations, p. 501-558, 2023.
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CORONIZATIONS AND BIG PIECES IN METRIC SPACES
Part of Annales de l'Institut Fourier, p. 2037-2078, 2022.
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Deep learning, stochastic gradient descent and diffusion maps
Part of Journal of Computational Mathematics and Data Science, p. 100054-100054, 2022.
DOI for Deep learning, stochastic gradient descent and diffusion maps
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Extremal polynomials on a Jordan arc
Part of Journal of Approximation Theory, 2022.
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Hawkes-Based Models for High Frequency Financial Data
Part of Journal of the Operational Research Society, p. 2168-2185, 2022.
DOI for Hawkes-Based Models for High Frequency Financial Data
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Hermitian and non-Hermitian perturbations of chiral Gaussian beta-ensembles
Part of Journal of Mathematical Physics, 2022.
DOI for Hermitian and non-Hermitian perturbations of chiral Gaussian beta-ensembles
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On a comparison principle for Trudinger's equation
Part of Advances in Calculus of Variations, p. 401-415, 2022.
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On big pieces approximations of parabolic hypersurfaces
Part of Annales Academiae Scientiarum Fennicae Mathematica, p. 533-571, 2022.
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On (p,q)-eigenvalues of subelliptic operators on homogeneous Lie groups
Part of TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, p. 207-216, 2022.
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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. 45-100, 2022.
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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 p-Laplacian
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. 4319-4381, 2021.
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Large time behavior of solutions of Trudinger's equation
Part of Journal of Differential Equations, p. 188-230, 2021.
DOI for Large time behavior of solutions of Trudinger's equation
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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. 397-437, 2021.
DOI for Neural ODEs as the deep limit of ResNets with constant weights
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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. 49-60, 2021.
DOI for ON EXISTENCE AND UNIQUENESS OF THE SOLUTION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS
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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. 253-271, 2021.
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The Dirichlet problem for Kolmogorov-Fokker-Planck type equations with rough coefficients
Part of Journal of Functional Analysis, 2021.
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The gradient flow of infinity-harmonic potentials
Part of Advances in Mathematics, 2021.
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Uncertainty-Aware 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 p-Laplace equation II
Part of Journal of Functional Analysis, 2020.
DOI for Boundary behavior of solutions to the parabolic p-Laplace equation II
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Dirichlet spaces of domains bounded by quasicircles
Part of Communications in Contemporary Mathematics, 2020.
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L2 well-posedness 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. 2943-3058, 2020.
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Schiffer comparison operators and approximations on Riemann surfaces bordered by quasicircles
Part of Journal of Geometric Analysis, p. 5877-5908, 2020.
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TRANSMISSION OF HARMONIC FUNCTIONS THROUGH QUASICIRCLES ON COMPACT RIEMANN SURFACES
Part of Annales Academiae Scientiarum Fennicae Mathematica, p. 1110-1133, 2020.
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A Model of the Teichmüller space of genus-zero bordered surfaces by period maps
Part of Conformal Geometry and Dynamics, p. 32-51, 2019.
DOI for A Model of the Teichmüller space of genus-zero bordered surfaces by period maps