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pro vyhledávání: '"Wilkes, Laurence"'
Autor:
Nuyens, Dirk, Wilkes, Laurence
In previous work (Kuo, Nuyens, Wilkes, 2023), we showed that a lattice rule with a pre-determined generating vector but random number of points can achieve the near optimal convergence of $O(n^{-\alpha-1/2+\epsilon})$, $\epsilon > 0$, for the worst c
Externí odkaz:
http://arxiv.org/abs/2308.03138
We show that a very simple randomised algorithm for numerical integration can produce a near optimal rate of convergence for integrals of functions in the $d$-dimensional weighted Korobov space. This algorithm uses a lattice rule with a fixed generat
Externí odkaz:
http://arxiv.org/abs/2304.10413
We determine the shape of all sum-free sets in $\{1,2,\ldots,n\}^2$ of size close to the maximum $\frac{3}{5}n^2$, solving a problem of Elsholtz and Rackham. We show that all such asymptotic maximum sum-free sets lie completely in the stripe $\frac{4
Externí odkaz:
http://arxiv.org/abs/2108.10526
Publikováno v:
In European Journal of Combinatorics January 2023 107
Autor:
Wilkes, Laurence
Publikováno v:
Database & Network Journal; Jun2004, Vol. 34 Issue 3, p15-16, 2p