Results 31 to 40 of about 91,796 (181)
Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions
The Marchaud fractional derivative can be obtained as a Dirichlet-to–Neumann map via an extension problem to the upper half space. In this paper we prove interior Schauder regularity estimates for a degenerate elliptic equation with mixed Dirichlet ...
Jean-Daniel Djida, Arran Fernandez
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AbstractGiry and Lawvere's categorical treatment of probabilities, based on the probabilistic monad G, offer an elegant and hitherto unexploited treatment of higher-order probabilities. The goal of this paper is to follow this formulation to reconstruct a family of higher-order probabilities known as the Dirichlet process. This family is widely used in
Vincent Danos, Ilias Garnier
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Dirichlet Mixtures, the Dirichlet Process, and the Structure of Protein Space [PDF]
Abstract The Dirichlet process is used to model probability distributions that are mixtures of an unknown number of components. Amino acid frequencies at homologous positions within related proteins have been fruitfully modeled by Dirichlet mixtures, and we use the Dirichlet process to derive such mixtures with an unbounded number of ...
Viet-An Nguyen +2 more
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Harmonic analysis and partial differential equations. Brief walk through these domains
In this walk we are going to walk through some domains of harmonic analysis and partial differential equations (PDE). The objective of this article is to motivate students and colleagues to study these beautiful areas of analysis and therefore we ...
Alejandro Ortiz Fernández
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The problem of Dirichlet for an ellipsoid [PDF]
(1) Introduction—In a group of important problems in potential theory it is required to determine a harmonic function which takes on preassigned continuous values on the boundaries of some region R. Under the proper limitations on the geometrical characteristics of the region R, it is known that the solution of the problem of Dirichlet exists and is ...
Sokolnikoff, I. S., Sokolnikoff, E. S.
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Hyponormal Toeplitz Operators on the Dirichlet Spaces
We completely characterize the hyponormality of bounded Toeplitz operators with Sobolev symbols on the Dirichlet space and the harmonic Dirichlet space.
Puyu Cui, Yufeng Lu
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Recovering the shape of an equilateral quantum tree with the Dirichlet conditions at the pendant vertices [PDF]
We consider two spectral problems on an equilateral rooted tree with the standard (continuity and Kirchhoff's type) conditions at the interior vertices (except of the root if it is interior) and Dirichlet conditions at the pendant vertices (except of the
Anastasia Dudko +2 more
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Dirichlet series as interfering probability amplitudes for quantum measurements
We show that all Dirichlet series, linear combinations of them and their analytical continuations represent probability amplitudes for measurements on time-dependent quantum systems.
C Feiler, W P Schleich
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Conjoined Dirichlet Process [PDF]
Biclustering is a class of techniques that simultaneously clusters the rows and columns of a matrix to sort heterogeneous data into homogeneous blocks. Although many algorithms have been proposed to find biclusters, existing methods suffer from the pre-specification of the number of biclusters or place constraints on the model structure.
Ngo, Michelle N +3 more
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