School of Mathematical Sciences: Recent submissions
Now showing items 2140 of 1040

"How long is the Chaos Game?"
(London Mathematical Society, 2021) 
Statistical characterization of airplane delays
(Nature Publishing Group, 202104)The aviation industry is of great importance for a globally connected economy. Customer satisfaction with airlines and airport performance is considerably influenced by how much flights are delayed. But how should the delay ... 
The heat equation with strongly singular potentials
(20210615)In this paper we consider the heat equation with strongly singular potentials and prove that it has a ”very weak solution”. Moreover, we show the uniqueness and consistency results in some appropriate sense. The cases of ... 
Higherorder simplicial synchronization of coupled topological signals
(Nature Research, 20210607)Simplicial complexes capture the underlying network topology and geometry of complex systems ranging from the brain to social networks. Here we show that algebraic topology is a fundamental tool to capture the higherorder ... 
Hardy inequalities on metric measure spaces, II: The case $p>q$
In this note we continue giving the characterisation of weights for twoweight Hardy inequalities to hold on general metric measure spaces possessing polar decompositions. Since there may be no differentiable structure on ... 
Traffic Prediction and Random Access Control Optimization: Learning and NonLearningBased Approaches
(20210301)© 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or ... 
Critical GagliardoNirenberg, Trudinger, BrezisGallouetWainger inequalities on graded groups and ground states
In this paper we investigate critical GagliardoNirenberg, Trudingertype and BrezisGallouetWainger inequalities associated with the positive Rockland operators on graded groups, which includes the cases of $\mathbb R^n$, ... 
On a class of anharmonic oscillators
(Elsevier, 2021)In this work we study a class of anharmonic oscillators within the framework of the WeylH\"ormander calculus. The anharmonic oscillators arise from several applications in mathematical physics as natural extensions of the ... 
$L^p$bounds for pseudodifferential operators on graded Lie groups
In this work we obtain sharp $L^p$estimates for pseudodifferential operators on arbitrary graded Lie groups. The results are presented within the setting of the global symbolic calculus on graded Lie groups by using the ... 
Direct and Inverse problems for timefractional pseudoparabolic equations
The purpose of this paper is to establish the solvability results to direct and inverse problems for timefractional pseudoparabolic equations with the selfadjoint operators. We are especially interested in proving ... 
Positively hyperbolic varieties, tropicalization, and positroids
(20210604)A variety of codimension c in complex affine space is positively hyperbolic if the imaginary part of any point in it does not lie in any positive linear subspace of dimension c. Positively hyperbolic hypersurfaces are ... 
Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series
We study nearly holomorphic Siegel Eisenstein series of general levels and characters on $\mathbb{H}_{2n}$, the Siegel upper half space of degree $2n$. We prove that the Fourier coefficients of these Eisenstein series (once ... 
Estimating the Manifold Dimension of a Complex Network Using Weyl's Law
(Springer, 202104)The dimension of the space underlying realworld networks has been shown to strongly influence the networks structural properties, from the degree distribution to the way the networks respond to diffusion and percolation ... 
Equivariant Ktheory classes of matrix orbit closures
The group $G = \GL_r(k) \times (k^\times)^n$ acts on $\AA^{r \times n}$, the space of $r$by$n$ matrices: $\GL_r(k)$ acts by row operations and $(k^\times)^n$ scales columns. A matrix orbit closure is the Zariski closure ... 
Ddimensional oscillators in simplicial structures: odd and even dimensions display different synchronization scenarios
(Elsevier, 20210404)From biology to social science, the functioning of a wide range of systems is the result of elementary interactions which involve more than two constituents, so that their description has unavoidably to go beyond simple ...