A Logarithmic Image Prior for Blind Deconvolution [PDF]
, 2015 Blind Deconvolution consists in the estimation of a sharp image and a blur kernel from an observed blurry image. Because the blur model admits several solutions it is necessary to devise an image prior that favors the true blur kernel and sharp image ...
Favaro, Paolo, Perrone, Daniele
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Optimal heat kernel bounds under logarithmic Sobolev inequalities [PDF]
, 2002 We establish optimal uniform upper estimates on heat kernels whose generators satisfy a logarithmic Sobolev inequality (or entropy-energy inequality) with the optimal constant of the Euclidean space.
Daniel Concordet +2 more
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Tikhonov regularization for an integral equation of the first kind with logarithmic kernel [PDF]
, 2000 In this paper, we discuss stability and Tikhonov regularization for the integral equation of the first kind with logarithmic kernel. Since the kernel is analytic in our case, the problem is severely ill-posed.
Bruckner, Gottfried, Cheng, Jin
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Tikhonov Regularization For An Integral Equation Of The First Kind With Logarithmic Kernel [PDF]
, 1998 In this paper, we discuss stability and Tikhonov regularization for the integral equation of the first kind with logarithmic kernel. Since the kernel is analytic in our case, the problem is severely ill-posed.
Bruckner, Gottfried +3 more
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An inequality for a quadratic functional
Vietnam Journal of Mechanics, 2009 An inequality is proved for a quadratic functional with the logarithmic kernel. The best constant of this inequality and the corresponding function for which the equality holds are found precisely.
Le Khanh Chau
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Logarithmic Bergman Kernel and Conditional Expectation of Gaussian Holomorphic Fields [PDF]
The Journal of Geometric Analysis, 2021 We prove the asymptotic of the logarithmic Bergman kernel. And as an application, we calculate the conditional expectation of density of zeros of Gaussian random sections of powers of a positive line bundle that vanish along a fixed smooth subvariety.
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On the equivalence of heat kernel estimates and logarithmic Sobolev inequalities for the Hodge Laplacian [PDF]
, 2006 In this paper we consider the Hodge Laplacian on differential k-forms over smooth open manifolds MN, not necessarily compact. We find sufficient conditions under which the existence of a family of logarithmic Sobolev inequalities for the Hodge Laplacian ...
Charalambous, Nelia, Nelia Charalambous
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Weighted Bergman Kernels for Logarithmic Weights [PDF]
Pure and Applied Mathematics Quarterly, 2010 We describe the boundary singularity of weighted Bergman kernels on smoothly bounded strictly pseudoconvex domains for weights which behave, roughly speaking, likely formal power series in defining function with coefficients which are polynomials in the logarithm of defining function.
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Polynomial Decay Rate for Kirchhoff Type in Viscoelasticity with Logarithmic Nonlinearity and Not Necessarily Decreasing Kernel [PDF]
, 2019 This paper describes a polynomial decay rate of the solution of the Kirchhoff type in viscoelasticity with logarithmic nonlinearity, where an asymptotically-stable result of the global solution is obtained taking into account that the kernel is not ...
Mohammad Alnegga +2 more
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Logarithmic correction to black hole entropy in universal low-energy string theory models
Journal of High Energy Physics, 2023 We calculate the logarithmic correction to the entropy of asymptotically flat and AdS black holes (rotating, non-rotating, charged, and uncharged) embedded in Einstein-Maxwell-dilaton (EMD) theories with U(1)-charged.
Sudip Karan, Gurmeet Singh Punia
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