Zobrazeno 1 - 10
of 122
pro vyhledávání: '"L J, Harris"'
Publikováno v:
Mathematische Zeitschrift. 301:2497-2508
A $(d,k)$-set is a subset of $\mathbb{R}^d$ containing a $k$-dimensional unit ball of all possible orientations. Using an approach of D.~Oberlin we prove various Fourier dimension estimates for compact $(d,k)$-sets. Our main interest is in restricted
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dcd03d26080a81b31b7db9ad2ff9f739
https://doi.org/10.1007/s00209-022-02971-3
https://doi.org/10.1007/s00209-022-02971-3
Autor:
Terence L. J. Harris
Publikováno v:
The Journal of Geometric Analysis. 31:11410-11416
An inequality is derived for the average $t$-energy of pinned distance measures, where $0 < t < 1$. This refines Mattila's theorem on distance sets to pinned distance sets, and gives an analogue of Liu's theorem for pinned distance sets of dimension
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3c695d788a90542536371b0c797165a
https://doi.org/10.1007/s12220-021-00686-1
https://doi.org/10.1007/s12220-021-00686-1
Publikováno v:
EDIS, Vol 2013, Iss 11 (2013)
This 9-page fact sheet serves as a reference for anyone concerned about the safety of fresh and frozen berry products. Providing information for those who grow, harvest, process, transport, and serve berries to consumers is important for improving sc
Externí odkaz:
https://doaj.org/article/10b338d8849543bfa95545855add5be6
Let $\mu$ be an $\alpha$-dimensional probability measure. We prove new upper and lower bounds on the decay rate of hyperbolic averages of the Fourier transform $\widehat{\mu}$. More precisely, if $\mathbb{H}$ is a truncated hyperbolic paraboloid in $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::693fcd1297642e13cc0fe8d517315e42
http://arxiv.org/abs/2004.06553
http://arxiv.org/abs/2004.06553
Autor:
Terence L. J. Harris
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations. 24:1503-1510
Let $K \subseteq \mathbb{R}^{2 \times 2}$ be a compact set, let $K^{rc}$ be its rank-one convex hull, and let $L(K)$ be its lamination convex hull. It is shown that the mapping $K \to \overline{L(K)}$ is not upper semicontinuous on the diagonal matri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::680ad8736827ca4eba2e08d1cf85c895
https://doi.org/10.1051/cocv/2017033
https://doi.org/10.1051/cocv/2017033
Publikováno v:
Calculus of Variations and Partial Differential Equations. 57
It is shown that every homogeneous gradient Young measure supported on matrices of the form $\begin{pmatrix} a_{1,1} & \cdots & a_{1,n-1} & a_{1,n} \\ 0 & \cdots & 0 & a_{2,n} \end{pmatrix}$ is a laminate. This is used to prove the same result on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0a62b54b43666aa713c5d9c6ff58328
https://doi.org/10.1007/s00526-018-1360-8
https://doi.org/10.1007/s00526-018-1360-8
Autor:
Terence L. J. Harris
An improved a.e. lower bound is given for Hausdorff dimension under vertical projections in the first Heisenberg group.
Comment: 15 pages. Accepted version
Comment: 15 pages. Accepted version
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8a7218a0c4acbec75e9b8cf3884c2ef
Autor:
Terence L. J. Harris
An improved lower bound is given for the decay of conical averages of Fourier transforms of measures, for cones of dimension $d \geq 4$. The proof uses a weighted version of the broad restriction inequality, a narrow decoupling inequality for the con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8ff9bd681ed36293b5a39fe7e043847
Publikováno v:
Aquaculture International. 24:273-279
Differential larval survival of Penaeid shrimp families when reared communally for any of the mainstream species is widely acknowledged as a likely scenario commercially. However, no scientific data exist in the public domain that quantifies the magn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::670777c483b31e137a3caebdfc6fce35
https://doi.org/10.1007/s10499-015-9924-5
https://doi.org/10.1007/s10499-015-9924-5