Results 51 to 60 of about 37,719 (139)
Entropy of chaotic eigenstates [PDF]
, 2010 These notes present a recent approach to study the high-frequency eigenstates of the Laplacian on compact Riemannian manifolds of negative sectional curvature. The main result is a lower bound on the Kolmogorov-Sinai entropy of the semiclassical measures
Nonnenmacher, Stéphane
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Methods in Ecology and Evolution, EarlyView.Abstract Conservation of marine ecosystems can be improved through a better understanding of ecosystem functioning, particularly the cryptic underwater behaviours and interactions of marine predators. Image‐based bio‐logging devices (including images, videos and active acoustic) are increasingly used to monitor wildlife movements, foraging behaviours ...
Marianna Chimienti +14 more
wiley +1 more source
A complex network perspective on brain disease
Biological Reviews, EarlyView.ABSTRACT If brain anatomy and dynamics have a complex network structure as it has become standard to posit, it is reasonable to assume that such a structure should play a key role not only in brain function but also in brain dysfunction. However, exactly how network structure is implicated in brain damage and whether at least some pathologies can be ...
David Papo, Javier M. Buldú
wiley +1 more source
Computing Skinning Weights via Convex Duality
Computer Graphics Forum, EarlyView.We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley +1 more source
An extension problem for the CR fractional Laplacian [PDF]
, 2013 We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the Siegel upper halfspace.
Frank, Rupert L. +3 more
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Entropy maximizers for kinetic wave equations set on tori
Bulletin of the London Mathematical Society, EarlyView.Abstract We consider the kinetic wave equation, or phonon Boltzmann equation, set on the torus (physical system set on the lattice). We describe entropy maximizers for fixed mass and energy; our framework is very general, being valid in any dimension, for any dispersion relation, and even including the quantum kinetic wave equation.
Miguel Escobedo +3 more
wiley +1 more source
The random graph process is globally synchronizing
Bulletin of the London Mathematical Society, EarlyView.Abstract The homogeneous Kuramoto model on a graph G=(V,E)$G = (V,E)$ is a network of |V|$|V|$ identical oscillators, one at each vertex, where every oscillator is coupled bidirectionally (with unit strength) to its neighbors in the graph. A graph G$G$ is said to be globally synchronizing if, for almost every initial condition, the homogeneous Kuramoto
Vishesh Jain +2 more
wiley +1 more source
NORMALIZED LAPLACIAN ENERGY AND NORMALIZED LAPLACIAN-ENERGY-LIKE INVARIANT OF SOME DERIVED GRAPHS
, 2022 openalex +1 more source
Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2247-2304, December 2025.Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun +2 more
wiley +1 more source
Hyperspectral Imaging: The Intelligent Eye to Uncover the Password of Plant Science
Modern Agriculture, Volume 3, Issue 2, December 2025.Hyperspectral imaging (HSI) has emerged as a powerful non‐destructive technique for characterisation of the plant phenotype and physiological traits. The ongoing development of cost‐effective hardware, coupled with standardised acquisition protocols and open‐access spectral libraries, is accelerating its integration with multi‐omics approaches to ...
Jingyan Song +17 more
wiley +1 more source