We consider the homogenisation problem for the φ42 equation on the torus T2, namely the behaviour as ε →0 of the solutions to the equation suggestivelywritten as
∂tuε − ∇ · A(x/ε, t/ε2)∇uε = −u3ε + ξ
where ξ deno ...
We show that the generalized Ricci tensor of a weighted complete Riemannian manifold can be retrieved asymptotically from a scaled metric derivative of Wasserstein 1-distances between normalized weighted local volume measures. As an application, we demonst ...
Current trends in artificial intelligence toward larger models demand a rethinking of both hardware and algorithms. Photonics-based systems offer high-speed, energy-efficient computing units, provided algorithms are designed to exploit photonics' unique st ...
We prove a conjecture by Vemuri [Hermite expansions and Hardy's theorem, arXiv:0801.2234, 2008] by proving sharp bounds on l(kappa) sums of Hermite functions multiplied by an exponentially decaying factor. More explicitly, we prove that, for each y > 0, we ...
We consider a 2D incompressible and electrically conducting fluid in the domain T x R. The aim is to quantify stability properties of the Couette flow (y, 0) with a constant homogenous magnetic field (beta, 0) when |beta|>1/2. The focus lies on the regime ...
Remote longitudinal studies are on the rise and promise to increase reach and reduce participation barriers in chronic disease research. However, maintaining long-term retention in these studies remains challenging. Early identification of participants wit ...
Spiro-OMeTAD has served as a crucial hole transporting material (HTM) in the advancement of efficient perovskite solar cells (PSCs). However, the diminished thermal stability of lithium-doped Spiro-OMeTAD (Li-Spiro) has been a limiting factor, leading to a ...
Novel approaches to materials design, fabrication processes and device architectures have accelerated next-generation electronics component production, pushing device dimensions down to the nano- and atomic-scale. For device metrology methods to keep up wi ...
