Results 111 to 120 of about 393,013 (283)
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 duality approach to the fractional Laplacian with measure data [PDF]
We describe a duality method to prove both existence and uniqueness of solutions to nonlocal problems like ( ) s v = in R N ; with vanishing conditions at innity. Here is a bounded Radon measure whose support is compactly contained in R N , N 2, and () s
K. Karlsen +2 more
semanticscholar +1 more source
Fractional Laplacian with singular drift [PDF]
Studia Mathematica, 2011 For $ \in (1,2)$ we consider the equation $\partial_t u = ^{ /2} u - r b \cdot \nabla u$, where $b$ is a divergence free singular vector field not necessarily belonging to the Kato class. We show that for sufficiently small $r>0$ the fundamental solution is globally in time comparable with the density of the isotropic stable ...
openaire +3 more sources
Methods in Ecology and Evolution, EarlyView.Abstract Quantifying the structure and dynamics of species interactions in ecological communities is fundamental to studying ecology and evolution. While there are numerous approaches to analysing ecological networks, there is not yet an approach that can (1) quantify dissimilarity in the global structure of ecological networks that range from ...
Kai M. Hung +4 more
wiley +1 more source
On the Fourier transform of measures in Besov spaces
Bulletin of the London Mathematical Society, EarlyView.Abstract We prove quantitative estimates for the decay of the Fourier transform of the Riesz potential of measures that are in homogeneous Besov spaces of the negative exponent: ∥Iαμ̂∥Lp,∞⩽C∥μ∥Mb12supt>0td−β2∥pt*μ∥∞12,$$\begin{align*} \Vert \widehat{I_{\alpha }\mu }\Vert _{L^{p, \infty }} \leqslant C \Vert \mu \Vert _{M_b}^{\frac{1}{2}}{\left(\sup _{t ...
Riju Basak +2 more
wiley +1 more source
Discrete Laplacian Operator and Its Applications in Signal Processing
IEEE Access, 2020 Fractional calculus has increased in popularity in recent years, as the number of its applications in different fields has increased. Compared to the traditional operations in calculus (integration and differentiation) which are uniquely defined, the ...
Waseem Waheed, Guang Deng, Bo Liu
doaj +1 more source
The Journal of Physiology, EarlyView.Abstract figure legend Integrated multimodal platform for panoramic cardiac mapping in isolated heart experiments. On the left, an image of the experimental setup during data acquisition showing a Langendorff‐perfused rabbit heart surrounded by three optical cameras (CAM A, B and C) positioned 120° apart, each coupled with high‐power LEDs for panoramic
Jimena Siles +8 more
wiley +1 more source
Cell lineage tracing: Methods, applications, and challenges
Quantitative Biology, Volume 13, Issue 4, December 2025.Abstract Cell lineage tracing is a crucial technique for understanding cell fate and lineage relationships, with wide applications in developmental biology, tissue regeneration, and disease progression studies. Over the years, experimental cell lineage tracing methods have advanced from early labeling techniques to modern genetic tools such as CRISPR ...
Shanjun Mao +5 more
wiley +1 more source
Nonexistence results for ultra-parabolic equations and systems involving fractional Laplacian operator in Heisenberg group. [PDF]
Heliyon, 2022 Tsegaw BB.
europepmc +1 more source
Quantitative Biology, Volume 13, Issue 4, December 2025.Abstract Recent advancements in spatial transcriptomics (ST) technologies allow researchers to simultaneously measure RNA expression levels for hundreds to thousands of genes while preserving spatial information within tissues, providing critical insights into spatial gene expression patterns, tissue organization, and gene functionality.
Catherine Higgins +2 more
wiley +1 more source