School of Mathematical Sciences: Recent submissions
Now showing items 121-140 of 1693
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BOUNDEDNESS OF THE DYADIC MAXIMAL FUNCTION ON GRADED LIE GROUPS
(Oxford University Press, 14-06-2024) -
Symmetry of Positive Solutions for Lane-Emden Systems Involving the Logarithmic Laplacian
(Springer Nature, 2023-12) -
SMOOTHING AND STRICHARTZ ESTIMATES FOR DEGENERATE SCHR ODINGER-TYPE EQUATIONS
(Elsevier, 07-02-2024)In this paper we focus on the validity of some fundamental estimates for time-degenerate Schrödinger-type operators. On the one hand we derive global homogeneous smoothing estimates for operators of any order by means of ... -
LSTM-CNN: An efficient diagnostic network for Parkinson's disease utilizing dynamic handwriting analysis.
(2024-04)BACKGROUND AND OBJECTIVES: Dynamic handwriting analysis, due to its noninvasive and readily accessible nature, has emerged as a vital adjunctive method for the early diagnosis of Parkinson's disease (PD). An essential step ... -
Ray-Tracing the Ulam Way
(2023-11-01) -
A numerical study of rigidity of hyperbolic splittings in simple two-dimensional maps
Chaotic hyperbolic dynamical systems enjoy a surprising degree of rigidity, a fact which is well known in the mathematics community but perhaps less so in theoretical physics circles. Low-dimensional hyperbolic systems are ... -
Signed permutohedra, delta-matroids, and beyond
We establish a connection between the algebraic geometry of the type B permutohedral toric variety and the combinatorics of delta-matroids. Using this connection, we compute the volume and lattice point counts of type B ... -
Transition to anomalous dynamics in a simple random map
(2023-08-18) -
Learning Regularization Parameter-Maps for Variational Image Reconstruction Using Deep Neural Networks and Algorithm Unrolling
(Society for Industrial & Applied Mathematics (SIAM), 2023-12-31)We introduce a method for the fast estimation of data-adapted, spatially and temporally dependent regularization parameter-maps for variational image reconstruction, focusing on total variation (TV) minimization. The ... -
Unrolled three-operator splitting for parameter-map learning in Low Dose X-ray CT reconstruction
(arXiv, 2023-04-17)We propose a method for fast and automatic estimation of spatially dependent regularization maps for total variation-based (TV) tomography reconstruction. The estimation is based on two distinct sub-networks, with the first ... -
Local Marchenko-Pastur law at the hard edge of the sample covariance ensemble
(AIP Publishing, 2023-12-01)Consider an N by N matrix X of complex entries with iid real and imaginary parts. We show that the local density of eigenvalues of X*X converges to the Marchenko-Pastur law on the optimal scale with probability 1. We also ... -
Initial analysis of the impact of the Ukrainian power grid synchronization with Continental Europe
(Royal Society of Chemistry (RSC), 2022-11-21)When Russia invaded Ukraine on the 24th of February 2022, this led to many acts of solidarity with Ukraine, including support for its electricity system. Just 20 days after the invasion started, the Ukrainian and Moldovan ...