Zobrazeno 1 - 10
of 3 129
pro vyhledávání: '"Ökten A"'
Publikováno v:
Bull. Sci. Math. 197 (2024), 103525
We show that a domain that satisfies the visibility property with $\mathcal C^2$-smooth boundary is pseudoconvex.
Comment: 6 pages; some typos and inaccuracies have been fixed. To appear in Bull. Sci. Math
Comment: 6 pages; some typos and inaccuracies have been fixed. To appear in Bull. Sci. Math
Externí odkaz:
http://arxiv.org/abs/2407.02952
Autor:
Ökten, Ahmed Yekta
Publikováno v:
The Journal of Geometric Analysis, Volume 34, article number 371, (2024)
We show that on convex domains with sufficiently smooth boundary the limit set of non-visible Kobayashi geodesics are contained in a complex face. In two dimensions, this implies the existence of a complex tangential line segment of non-Goldilocks po
Externí odkaz:
http://arxiv.org/abs/2312.04506
Studying the behavior of real and complex geodesics we provide sharp estimates for the Kobayashi distance, the Lempert function, and the Carath\'eodory distance on $\mathcal{C}^{2,\alpha}$-smooth strongly pseudoconvex domains. Similar estimates are a
Externí odkaz:
http://arxiv.org/abs/2308.09143
Autor:
Yue, Ruilong, Ökten, Giray
We present a new dimension reduction method called the global active subspace method. The method uses expected values of finite differences of the underlying function to identify the important directions, and builds a surrogate model using the import
Externí odkaz:
http://arxiv.org/abs/2304.14142
Autor:
Duan, Hui, Ökten, Giray
We introduce a new Shapley value approach for global sensitivity analysis and machine learning explainability. The method is based on the first-order partial derivatives of the underlying function. The computational complexity of the method is linear
Externí odkaz:
http://arxiv.org/abs/2303.15183
Autor:
Nikolov, Nikolai, Ökten, Ahmed Yekta
Publikováno v:
Proc. Amer. Math. Soc. 152 (2024), 2439-2448
Recently, the visibility property of Kobayashi (almost) geodesics has been used to provide localizations of the Kobayashi distance. In this note, we provide sufficient growth conditions for the Kobayashi distance to obtain new strong multiplicative a
Externí odkaz:
http://arxiv.org/abs/2211.15488
Publikováno v:
Ann. Pol. Math. 132 (2024), 169-185
In this note, we introduce the notion of visible boundary points with respect to Kobayashi distance for domains in complex euclidean space. Following the work of Sarkar, we obtain additive and multiplicative localization results about Kobayashi dista
Externí odkaz:
http://arxiv.org/abs/2210.10007
Autor:
Nikolov, Nikolai, Ökten, Ahmed Yekta
Publikováno v:
J. Math. Anal. Appl. 534 (2024), 128130
In the last decade, G. Bharali and A. Zimmer defined a class of domains called Goldilocks domains and they showed that such a domain satisfies a visibility condition with respect to the Kobayashi extremal curves. Inspired by their construction, we de
Externí odkaz:
http://arxiv.org/abs/2206.08344
Publikováno v:
Anti-Corrosion Methods and Materials, 2023, Vol. 70, Issue 6, pp. 350-360.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/ACMM-05-2023-2816
A novel imaging biomarker for prediction of cerebrovascular ischemic events: Pericarotid fat density
Publikováno v:
In American Journal of Emergency Medicine October 2024 84:130-134