Kavli Affiliate: Toshiyuki Kobayashi | First 5 Authors: Toshiyuki Kobayashi, Michael Pevzner, , , | Summary: Motivated by the classical ideas of generating functions for orthogonal polynomials, we initiate a new line of investigation on "generating operators" for a family of differential operators between two manifolds. We prove a novel formula of the generating operators […]
Kavli Affiliate: Jing Wang | First 5 Authors: Jing Wang, Zhenyu Ni, Liying Kang, Yi-zheng Fan, | Summary: The edge blow-up of a graph $G$, denoted by $G^{p+1}$, is obtained by replacing each edge of $G$ with a clique of order $p+1$, where the new vertices of the cliques are all distinct. Yuan [J. Comb. […]
Kavli Affiliate: John Rubenstein | Authors: Rinaldo Catta-Preta, Susan Lindtner, Athena Ypsilanti, James Price, Armen Abnousi, Linda Su-Feher, Yurong Wang, Ivan Juric, Ian Jones, Jennifer Akiyama, Ming Hu, Yin Shen, Axel Visel, Len Pennacchio, Diane Dickel, John Rubenstein and Alex Nord | Summary: Transcription factors (TFs) bind combinatorially to genomic cis-regulatory elements (cREs), orchestrating transcription […]
Kavli Affiliate: Cheng Peng | First 5 Authors: Anton Malandii, Siddhartha Gupte, Cheng Peng, Stan Uryasev, | Summary: This paper introduces a novel framework for assessing risk and decision-making in the presence of uncertainty, the emph{$varphi$-Divergence Quadrangle}. This approach expands upon the traditional Risk Quadrangle, a model that quantifies uncertainty through four key components: emph{risk, […]
Kavli Affiliate: Cheng Peng | First 5 Authors: Anton Malandii, Siddhartha Gupte, Cheng Peng, Stan Uryasev, | Summary: This paper introduces a novel framework for assessing risk and decision-making in the presence of uncertainty, the emph{$varphi$-Divergence Quadrangle}. This approach expands upon the traditional Risk Quadrangle, a model that quantifies uncertainty through four key components: emph{risk, […]
Kavli Affiliate: Lina Necib | First 5 Authors: Tri Nguyen, Xiaowei Ou, Nondh Panithanpaisal, Nora Shipp, Lina Necib | Summary: The third data release (DR3) of Gaia has provided a five-fold increase in the number of radial velocity measurements of stars, as well as a stark improvement in parallax and proper motion measurements. To help […]
Kavli Affiliate: Kejia Lee | First 5 Authors: Heng Xu, Siyuan Chen, Yanjun Guo, Jinchen Jiang, Bojun Wang | Summary: Observing and timing a group of millisecond pulsars (MSPs) with high rotational stability enables the direct detection of gravitational waves (GWs). The GW signals can be identified from the spatial correlations encoded in the times-of-arrival […]
Kavli Affiliate: Shunsaku Horiuchi | First 5 Authors: Shin’ichiro Ando, Nick Ekanger, Shunsaku Horiuchi, Yusuke Koshio, | Summary: Core-collapse supernovae are among the most powerful explosions in the universe, emitting thermal neutrinos that carry away the majority of the gravitational binding energy released. These neutrinos create a diffuse supernova neutrino background (DSNB), one of the […]
Kavli Affiliate: Shunsaku Horiuchi | First 5 Authors: Shin’ichiro Ando, Nick Ekanger, Shunsaku Horiuchi, Yusuke Koshio, | Summary: Core-collapse supernovae are among the most powerful explosions in the universe, emitting thermal neutrinos that carry away the majority of the gravitational binding energy released. These neutrinos create a diffuse supernova neutrino background (DSNB), one of the […]
Kavli Affiliate: Shunsaku Horiuchi | First 5 Authors: Shin’ichiro Ando, Nick Ekanger, Shunsaku Horiuchi, Yusuke Koshio, | Summary: Core-collapse supernovae are among the most powerful explosions in the universe, emitting thermal neutrinos that carry away the majority of the gravitational binding energy released. These neutrinos create a diffuse supernova neutrino background (DSNB), one of the […]