School of Mathematical Sciences: Recent submissions
Now showing items 1-20 of 1910
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Trapped surface formation for the Einstein-scalar system
(International Press of Boston, 2024)We consider the formation of trapped surfaces in the evolution of the Einstein-scalar field system without symmetries. To this end, we follow An's strategy to analyse the formation of trapped surfaces in vacuum and for the ... -
Spatial analysis of tails of air pollution PDFs in Europe
(Cambridge University Press, 2025-01-02)Outdoor air pollution is estimated to cause a huge number of premature deaths worldwide. It catalyzes many diseases on a variety of time scales, and it has a detrimental effect on the environment. In light of these impacts, ... -
Complex structure on quantum-braided planes
(arXiv, 2024-09-09)We construct a quantum Dolbeault double complex ⊕p,qΩp,q on the quantum plane C2q. This solves the long-standing problem that the standard differential calculus on the quantum plane is not a ∗-calculus, by embedding it as ... -
Singularity of Lévy walks in the lifted Pomeau-Manneville map.
(AIP Publishing., 2025-01-01)Since groundbreaking works in the 1980s it is well-known that simple deterministic dynamical systems can display intermittent dynamics and weak chaos leading to anomalous diffusion. A paradigmatic example is the Pomeau-Manneville ... -
Schrödinger type equations with singular coefficients and lower order terms
(Elsevier BV, 2025-04) -
Corrigendum to “The Ellis semigroup of bijective substitutions”
(European Mathematical Society - EMS - Publishing House, 2024-11-27) -
A model of randomly-coupled Pauli spins
(2024-05-01)We construct a model of Pauli spin operators with all-to-all 4-local interactions by replacing Majorana fermions in the SYK model with spin operators. Equivalently, we replace fermions with hard-core bosons. We study this ... -
Trust your source: quantifying source condition elements for variational regularisation methods
(2024-01-01)Source conditions are a key tool in regularisation theory that are needed to derive error estimates and convergence rates for ill-posed inverse problems. In this paper, we provide a recipe to practically compute source ... -
On marginal growth rates of matrix products
In this article we consider the maximum possible growth rate of sequences of long products of d x d matrices all of which are drawn from some specified compact set which has been normalised so as to have joint spectral ... -
Anomalous diffusion in the square soft Lorentz gas
(American Physical Society, 2025-01-09) -
Curvature fluctuations in a baby quantum gravity model
(2024-05-28) -
Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups
(Taylor & Francis, 2023)In this paper, we investigate the Besov spaces on compact Lie groups in a subelliptic setting, that is, associated with a family of vector fields, satisfying the Hörmander condition, and their corresponding sub-Laplacian. ... -
Global well-posedness of space-time fractional diffusion equation with Rockland operator on graded Lie group
(Wiley, 2024-07-22)In this article, we examine the general space-time fractional diffusion equation for left-invariant hypoelliptic homogeneous operators on graded Lie groups. Our study covers important examples such as the time fractional ...