Results 31 to 40 of about 553 (145)

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

A Deep Neural Network Based on Two‐Stage Training for Estimating Heart Rate Variability From Camera Videos

Health Care Science, EarlyView.
Heart Rate Variability Estimation from Camera Videos ABSTRACT Background Studies have shown that heart rate variability (HRV) is a predictor of the prognosis of cardiovascular diseases. Contact heartbeat monitoring equipment is widely used, especially in hospitals, and benefits from the rapidity and accuracy of the detection of physiological health ...
Lan Lan, Jin Yin, Haohan Zhang, Hua Jiang, Rui Qin, Xia Zhao, Yu Zhang, Yilong Wang, Jiajun Qiu   +8 more
wiley   +1 more source

Single‐Shot Full‐Stokes Analysis of Partially‐Polarized Light With a Photonic Deep Random Neural Network

Laser &Photonics Reviews, EarlyView.
Photonic neural networks are emerging as a powerful tool for analyzing light. The article reports a photonic deep random neural network that performs single‐shot low‐latency measurements of the state and degree of polarization with high accuracy. Using only a stack of glass diffusers on top of a small camera sensor, this neuromorphic polarization ...
Alessandro Petrini, Claudio Conti, Davide Pierangeli   +2 more
wiley   +1 more source

Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond

Mathematische Nachrichten, EarlyView.
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley   +1 more source

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin, Simone Nati Poltri, Clair Poignard   +2 more
wiley   +1 more source

Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo, Delfina Gómez, Maria‐Eugenia Pérez‐Martínez   +2 more
wiley   +1 more source

Quantum symmetries in 2+1 dimensions: Carroll, (a)dS-Carroll, Galilei and (a)dS-Galilei

Journal of High Energy Physics
There is a surge of research devoted to the formalism and physical manifestations of non-Lorentzian kinematical symmetries, which focuses especially on the ones associated with the Galilei and Carroll relativistic limits (the speed of light taken to ...
Tomasz Trześniewski
doaj   +1 more source

Ageing reveals the latent effects of early life stress on respiratory and metabolic function in female rats: Novel insights into the sex‐specific origins of sleep apnoea

Experimental Physiology, EarlyView.
Abstract Sleep apnoea (SA) is ∼2 times more prevalent in men than women. However, this changes at menopause as the occurrence of SA increases and matches that of men. Menopause is a natural process, but it remains unclear why SA emerges only in a subpopulation of ageing women.
Danuzia Ambrozio‐Marques, Loralie Mei Guay, Alicia A. Koogler, Tim D. Ostrowski, Richard Kinkead   +4 more
wiley   +1 more source

Diffusion and degradation effect switching closed form solitons to a nonlinear mathematical model

Alexandria Engineering Journal
This study investigates the (2+1)-dimensional Chaffee-Infante equation, an important nonlinear model in gravitation, fluid dynamics, and the Poincaré conjecture with diffusion and degradation coefficients.
Md. Ekramul Islam, Kamruzzaman Khan, Md. Abde Mannaf, M. Ali Akbar   +3 more
doaj   +1 more source