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9 papers · 1 filter
Hessenberg varieties, intersections of quadrics, and the Springer correspondence
Tsao-Hsien Chen, Kari Vilonen, Ting Xue
In this paper we introduce a certain class of families of Hessenberg varieties arising from Springer theory for symmetric spaces. We study the geometry of those Hessenberg varietie…
First Baire class functions in the pluri-fine topology
Oleksiy Dovgoshey, Mehmet Küçükaslan, Juhani Riihentaus
Let be the first Baire class of real functions in the pluri-fine topology on an open set and let be the f…
Direct laser planting of hybrid Au-Ag/C nanostructures - nanoparticles, flakes and flowers
Alina Manshina, Anastasia Povolotckaia, Muhammad Bashouti +6
We demonstrate a new approach for forming hybrid metal/carbonaceous nanostructures in a controlled direct laser planting process. Au-Ag nanoclusters in amorphous or crystalline car…
From Random Matrix Theory to Coding Theory: Volume of a Metric Ball in Unitary Group
Lu Wei, Renaud-Alexandre Pitaval, Jukka Corander +1
Volume estimates of metric balls in manifolds find diverse applications in information and coding theory. In this paper, some new results for the volume of a metric ball in unitary…
A Hybrid Segmentation and D-bar Method for Electrical Impedance Tomography
Sarah Hamilton, Juan Manuel Reyes, Samuli Siltanen +1
The Regularized D-bar method for Electrical Impedance Tomography provides a rigorous mathematical approach for solving the full nonlinear inverse problem directly, i.e. without ite…
Efficient Multiple Importance Sampling Estimators
Víctor Elvira, Luca Martino, David Luengo +1
Multiple importance sampling (MIS) methods use a set of proposal distributions from which samples are drawn. Each sample is then assigned an importance weight that can be obtained…