Zobrazeno 1 - 10
of 485
pro vyhledávání: '"Jones, Peter W"'
Publikováno v:
The Irish Naturalists' Journal, 2022 Dec 01. 39, 60-66.
Externí odkaz:
https://www.jstor.org/stable/48753589
Autor:
Jones, Peter W., Steinerberger, Stefan
It has been empirically observed that eigenfunctions of Laplace's equation $-\Delta \phi = \lambda \phi$ with Neumann boundary conditions sometimes localize near the boundary of the domain if that boundary is rough (say, fractal). This has some nontr
Externí odkaz:
http://arxiv.org/abs/1809.01108
Publikováno v:
In Journal of Functional Analysis 15 August 2022 283(4)
In this paper we present a theoretical foundation for a representation of a data set as a measure in a very large hierarchically parametrized family of positive measures, whose parameters can be computed explicitly (rather than estimated by optimizat
Externí odkaz:
http://arxiv.org/abs/1601.02946
Autor:
Pearson, Heidi C., Jones, Peter W., Brandon, Taelor P., Stockin, Karen A, Machovsky-Capuska, Gabriel E.
Publikováno v:
Behavioral Ecology and Sociobiology, 2019 Nov 01. 73(11), 1-13.
Externí odkaz:
https://www.jstor.org/stable/48705690
Publikováno v:
J. Phys. A 49, 043001 (2016)
We revise the Levy's construction of Brownian motion as a simple though still rigorous approach to operate with various Gaussian processes. A Brownian path is explicitly constructed as a linear combination of wavelet-based "geometrical features" at m
Externí odkaz:
http://arxiv.org/abs/1505.04525
We study lower and upper bounds of the Hausdorff dimension for sets which are wiggly at scales of positive density. The main technical ingredient is a construction, for every continuum K, of a Borel probabilistic measure \mu with the property that on
Externí odkaz:
http://arxiv.org/abs/1203.6501
Autor:
Mengist, Molla F., Milbourne, Dan, Alves, Sheila, McLaughlin, Mike J., Jones, Peter W., Griffin, Denis
Publikováno v:
Plant and Soil, 2018 Sep 01. 430(1/2), 139-149.
Externí odkaz:
https://www.jstor.org/stable/48725544
We use heat kernels or eigenfunctions of the Laplacian to construct local coordinates on large classes of Euclidean domains and Riemannian manifolds (not necessarily smooth, e.g. with $\mathcal{C}^\alpha$ metric). These coordinates are bi-Lipschitz o
Externí odkaz:
http://arxiv.org/abs/0709.1975
Autor:
Lawson, Claire A., Jones, Peter W., Teece, Lucy, Dunbar, Sandra B., Seferovic, Petar M., Khunti, Kamlesh, Mamas, Mamas, Kadam, Umesh T.
Publikováno v:
In JACC: Heart Failure January 2018 6(1):18-26