Singularities of plane complex curves and limits of Kähler metrics with cone singularities. I: Tangent Cones [PDF]
Complex Manifolds, 2017 The goal of this article is to provide a construction and classification, in the case of two complex dimensions, of the possible tangent cones at points of limit spaces of non-collapsed sequences of Kähler-Einstein metrics with cone singularities.
Martin De Borbón
exaly +5 more sources
A note on flatness of non separable tangent cone at a barycenter [PDF]
Comptes Rendus. Mathématique, 2020 Given a probability measure $\mathbf{P}$ on an Alexandrov space $S$ with curvature bounded below, we prove that the support of the pushforward of $\mathbf{P}$ on the tangent cone $T_{b^\star }S$ at its (exponential) barycenter $b^\star $ is a subset of a
Le Gouic, Thibaut
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On the Continuity of the Tangent Cone to the Determinantal Variety [PDF]
Set-Valued and Variational Analysis, 2022 Tangent and normal cones play an important role in constrained optimization to describe admissible search directions and, in particular, to formulate optimality conditions. They notably appear in various recent algorithms for both smooth and nonsmooth low-rank optimization where the feasible set is the set $\mathbb{R}_{\leq r}^{m \times n}$ of all $m ...
Guillaume Olikier, P.-A. Absil
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Geometric and singularities insights of swept surfaces via the Bishop frame in Euclidean 3-Space. [PDF]
PLoS ONEThis study investigates the geometry and singular behavior of swept surfaces generated by the move of Bishop frame along a spatial curve in Euclidean 3-space. The surface is defined as the envelope of a family of unit spheres whose centers trace an axial
Fatemah Mofarreh +2 more
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Effect of prosthetic emergence profile on labial transmucosal tissue in anterior implants: a retrospective cohort study [PDF]
International Journal of Implant DentistryPurpose There are no clear quantitative criteria for the prosthetic labial emergence profile in maxillary anterior implant treatment. We evaluated the impact of the prosthetic labial emergence profile on labial tissue alterations.
Shunsuke Okamoto +10 more
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Towards Nonlinearity: The p-Regularity Theory [PDF]
EntropyWe present recent advances in the analysis of nonlinear problems involving singular (degenerate) operators. The results are obtained within the framework of p-regularity theory, which has been successfully developed over the past four decades.
Ewa Bednarczuk +4 more
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Three-dimensional assessment of pharyngeal airway hyoid bone and craniocervical changes after stabilization splint treatment in temporomandibular disorder patients [PDF]
Scientific ReportsStabilization splint (SS) therapy is commonly used to treat temporomandibular disorders (TMD), but its three-dimensional (3D) effects on pharyngeal airway (PA) dimensions, hyoid bone (HB) position, and craniocervical (CC) posture remain unclear.
Pengyu Chen +10 more
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Smocked Metric Spaces and Their Tangent Cones [PDF]
Missouri Journal of Mathematical Sciences, 2021 66 pages, 32 figures, original research by Prof. Sormani, Dr. Kazaras, and a team of students listed both above as authors and also within v1 at the tops of the sections that they specifically worked on, v2 has minor expository changes, v3 has minor technical ...
Sormani, Christiana +13 more
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Optimality Conditions for Group Sparse Constrained Optimization Problems
Mathematics, 2021 In this paper, optimality conditions for the group sparse constrained optimization (GSCO) problems are studied. Firstly, the equivalent characterizations of Bouligand tangent cone, Clarke tangent cone and their corresponding normal cones of the group ...
Wenying Wu, Dingtao Peng
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Stable Recovery and Separation of Structured Signals by Convex Geometry
IEEE Access, 2022 We consider the ill-posed problem of identifying the signal that is structured in some general dictionary (i.e., possibly redundant or over-complete matrix) from corrupted measurements, where the corruption is structured in another general dictionary. We
Ningning Li, Wengu Chen
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