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pro vyhledávání: '"Glas, P."'
We use the circle method to prove that a density 1 of elements in $\mathbb{F}_q[t]$ are representable as a sum of three cubes of essentially minimal degree from $\mathbb{F}_q[t]$, assuming the Ratios Conjecture and that the characteristic is bigger t
Externí odkaz:
http://arxiv.org/abs/2408.03668
Autor:
Glas, Jakob
By developing a suitable version of the circle method, we show that the space of degree $e$ rational curves on a smooth hypersurface of degree $d$ has only canonical singularities provided its dimension is sufficiently large with respect to $e$ and $
Externí odkaz:
http://arxiv.org/abs/2405.16648
We study algorithms called rank-revealers that reveal a matrix's rank structure. Such algorithms form a fundamental component in matrix compression, singular value estimation, and column subset selection problems. While column-pivoted QR has been wid
Externí odkaz:
http://arxiv.org/abs/2405.04330
We use a function field version of the circle method to prove that a positive proportion of elements in $\mathbb{F}_q[t]$ are representable as a sum of three cubes of minimal degree from $\mathbb{F}_q[t]$, assuming a suitable form of the Ratios Conje
Externí odkaz:
http://arxiv.org/abs/2402.07146
Autor:
Glas, Jakob, Hochfilzer, Leonhard
We give upper bounds for the number of rational points of bounded anti-canonical height on del Pezzo surfaces of degree at most five over any global field whose characteristic is not equal to two or three. For number fields these results are conditio
Externí odkaz:
http://arxiv.org/abs/2401.04759
Publikováno v:
Research and Reports in Tropical Medicine, Vol Volume 15, Pp 91-97 (2024)
Marcus Ground,1 Thijmen Veenendaal,1 Daniel Rexie Chiluzi,1 Geoffrey Nkhonjera,2 Arie C Glas,1 Lisanne Glas-van Dijk1 1Mulanje Mission Hospital, Mulanje, Malawi; 2Oncology Department, Queen Elizabeth Central Hospital, Blantyre, MalawiCorrespondence:
Externí odkaz:
https://doaj.org/article/38b959d231834078a2f9ec1a325a41eb
Using nonlinear projections and preserving structure in model order reduction (MOR) are currently active research fields. In this paper, we provide a novel differential geometric framework for model reduction on smooth manifolds, which emphasizes the
Externí odkaz:
http://arxiv.org/abs/2312.01963
For projection-based linear-subspace model order reduction (MOR), it is well known that the Kolmogorov n-width describes the best-possible error for a reduced order model (ROM) of size n. In this paper, we provide approximation bounds for ROMs on pol
Externí odkaz:
http://arxiv.org/abs/2312.00724
Autor:
Rezabek, Filip, Glas, Kilian, von Seck, Richard, Aroua, Achraf, Leonhardt, Tizian, Carle, Georg
The recent developments and research in distributed ledger technologies and blockchain have contributed to the increasing adoption of distributed systems. To collect relevant insights into systems' behavior, we observe many evaluation frameworks focu
Externí odkaz:
http://arxiv.org/abs/2310.16190
Autor:
Glas, Jakob
Using a two-dimensional version of the delta method, we establish an asymptotic formula for the number of rational points of bounded height on non-singular complete intersections of cubic and quadric hypersurfaces of dimension at least $23$ over $\ma
Externí odkaz:
http://arxiv.org/abs/2306.02718