Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
Recent Submissions
-
Article
Bergman-Weil expansion for holomorphic functions
(Springer, 2022)Using a modified Cauchy–Weil representation formula in a Weil polyhedron D f ⊂ U ⊂ Cn, we prove a generalized version of Lagrange interpolation formula (at any order) with respect to a discrete set defined by VD f ( f ) ...
-
Article
Lipschitz regularity of viscosity solutions in some nonlinear parabolic-free boundary problems
(Hindawi Publishing Corporation, 2006)We study the regularity of solutions in Stefan-type free boundary problems.We prove that viscosity solutions to a fully nonlinear free boundary problem are Lipschitz continuous across the free boundary, provided that the ...
-
Article
Perturbations of elliptic operators in chord arc domains
(AMS, 2014)We study the boundary regularity of solutions to divergence form operators which are small perturbations of operators for which the boundary regularity of solutions is known. An operator is a small perturbation of another ...
-
Article
Regularity for fully nonlinear parabolic equations with oblique boundary data
(EMS Press, 2021)We obtain, up to a flat boundary, regularity results in parabolic Hölder spaces for viscosity solutions of fully nonlinear parabolic equations with oblique boundary conditions.
-
Article
The calibration method for the Thermal Insulation functional
(EDP Sciences, 2022)We provide minimality criteria by construction of calibrations for functionals arising in the theory of thermal insulation.
-
Article
The two-phase Stefan problem with anomalous diffusion
(Elsevier, 2022)The non-local in space two-phase Stefan problem (a prototype in phase change problems) can be formulated via a singular nonlinear parabolic integro-differential equation which admits a unique weak solution. This formulation ...
-
Article
Higher Integrability of the gradient for the Thermal Insulation Problem
(EMS Press, 2023)We prove the higher integrability of the gradient for local minimizers of the thermal insulation problem: an analogue of De Giorgi’s conjecture for the Mumford–Shah functional. We deduce that the singular part of the ...
-
Article
Systems of fully nonlinear degenerate elliptic obstacle problems with Dirichlet boundary conditions
(Springer, 2023)In this paper, we prove existence and uniqueness of viscosity solutions to the following system: For i ∈ {1, 2,..., m} min F y, x, ui(y, x), Dui(y, x), D2ui(y, x) , ui(y, x) − max j=i u j(y, x) − ci j(y, x) ...
-
Conference Object
Normal Approximation for Stochastic Gradient Descent via Non-Asymptotic Rates of Martingale CLT
(Proceedings of Machine Learning Research (PMLR), 2019)We provide non-asymptotic convergence rates of the Polyak-Ruppert averaged stochastic gradient descent (SGD) to a normal random vector for a class of twice-differentiable test functions. A crucial ...
-
Article
Perturbations of Christoffel–Darboux Kernels: Detection of Outliers
(2020)Two central objects in constructive approximation, the Christoffel–Darboux kernel and the Christoffel function, encode ample information about the associated moment data and ultimately about the possible generating measures. ...
-
Article
Product Besov and Triebel–Lizorkin Spaces with Application to Nonlinear Approximation
(2019)The Littlewood–Paley theory of homogeneous product Besov and Triebel–Lizorkin spaces is developed in the spirit of the $$\varphi $$φ-transform of Frazier and Jawerth. This includes the frame characterization of the product ...
-
Article
Lubrication solution of the flow of a Herschel-Bulkley fluid with pressure-dependent rheological parameters in an asymmetric channel
(2019)The lubrication flow of a Herschel-Bulkley fluid in a long asymmetric channel, the walls of which are described by two arbitrary functions h1(x) and h2(x) such that h1(x) < h2(x) and h1(x) + h2(x) are linear, is solved ...
-
Article
Bergman Orthogonal Polynomials and the Grunsky Matrix
(2018)By exploiting a link between Bergman orthogonal polynomials and the Grunsky matrix, probably first observed by Kühnau (Ann Acad Sci Math 10:313–329, 1985), we improve on some recent results on strong asymptotics of Bergman ...
-
Article
Atomic and Molecular Decomposition of Homogeneous Spaces of Distributions Associated to Non-negative Self-Adjoint Operators
(2019)We deal with homogeneous Besov and Triebel–Lizorkin spaces in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kernel has Gaussian localization and the Markov ...
-
Article
-
Article
Assessing the multivariate normal approximation of the maximum likelihood estimator from high-dimensional, heterogeneous data
(2018)The asymptotic normality of the maximum likelihood estimator (MLE) under regularity conditions is a cornerstone of statistical theory. In this paper, we give explicit upper bounds on the distributional distance between the ...
-
Conference Object
-
Conference Object
A new proof of the atomic decomposition of Hardy spaces
(Marin Drinov Academic Publishing House, 2018)
-
Article
-
Conference Object
Numerical and asymptotic solutions of axisymmetric Poiseuille flows of yield stress fluids with pressure-dependent rheological parameters
(GRACM, 2018)The lubrication flow of a Bingham plastic in long tubes of varying radius is modeled using the approach proposed by Fusi and Farina (Appl. Math. Comp. 320, 1-15 (2018)). Both the plastic viscosity and the yield stress are ...
RSS 1.0