Mollification of the fourth moment of Dirichlet L-functions

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On the connectedness principle and dual complexes for generalized pairs

Stefano Filipazzi

Let (X,B) be a pair, and let f :X S be a contraction with -(K-x+B) nef over S. A conjecture, known as the Shokurov-Kollar connectedness principle, predicts thatf(-1) (s) boolean AND Nklt(X,B) has at most two connected components, where s is an element of ...

2023

On wall-crossing for K-stability

Chuyu Zhou

In this paper, we explore the wall crossing phenomenon for K-stability, and apply it to explain the wall crossing for K -moduli stacks and K-moduli spaces. (c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY li ...

2023

Geometric transformation of finite element methods: Theory and applications

Martin Werner Licht

We present a new analysis of finite element methods for partial differential equations over curved domains. In many applications, a change of variables translates a physical Poisson problem over a curved physical domain into a parametric Poisson problem ov ...

2023

Compressed sensing with ℓ 0-norm: statistical physics analysis & algorithms for signal recovery

Lenka Zdeborová, Florent Gérard Krzakala, Damien Yves Valery Barbier

Noiseless compressive sensing is a protocol that enables undersampling and later recovery of a signal without loss of information. This compression is possible because the signal is usually sufficiently sparse in a given basis. Currently, the algorithm off ...

IEEE2023

Ritz-type projectors with boundary interpolation properties and explicit spline error estimates

Espen Sande

In this paper we construct Ritz-type projectors with boundary interpolation properties in finite dimensional subspaces of the usual Sobolev space and we provide a priori error estimates for them. The abstract analysis is exemplified by considering spline s ...

Springer2022

Exact Smooth Term-Structure Estimation

Damir Filipovic, Sander Félix M Willems

We present a nonparametric method to estimate the discount curve from market quotes based on the Moore-Penrose pseudoinverse. The discount curve reproduces the market quotes perfectly, has maximal smoothness, and is given in closed-form. The method is easy ...

SIAM PUBLICATIONS2018