Kavli Affiliate: David Spergel | Summary:Mesoscale structures can often be described as fractional dimensional across a wide range of scales. We consider a $γ$ dimensional measure embedded in an $N$ dimensional space and discuss how to determine its dimension, both in $N$ dimensions and projected into $D$ dimensions. It is a highly non-trivial problem to […]
Kavli Affiliate: David N. Spergel | First 5 Authors: Svitlana Mayboroda, David N Spergel, , , | Summary: Mesoscale structures can often be described as fractional dimensional across a wide range of scales. We consider a $gamma$ dimensional measure embedded in an $N$ dimensional space and discuss how to determine its dimension, both in $N$ […]
Kavli Affiliate: Ann McDermott | Authors: Chengming He, Nikhil R Varghese, Eric G Keeler, Chi L L Pham, Brayden Williams, Stephan Tetter, Crystal Semaan, Karyn L Wilde, Simon H J Brown, James C Bouwer, Yann Gambin, Emma Sierecki, Megan Steain, Margaret Sunde and Ann E McDermott | Summary: The formation of RIP-homotypic interaction motif (RHIM)-based […]
Kavli Affiliate: Ke Wang | First 5 Authors: Anjiang Wei, Anjiang Wei, , , | Summary: Inductive program synthesis, or programming by example, requires synthesizing functions from input-output examples that generalize to unseen inputs. While large language model agents have shown promise in programming tasks guided by natural language, their ability to perform inductive program […]
Kavli Affiliate: Xinan Zhou | First 5 Authors: Junding Chen, Junding Chen, , , | Summary: We consider correlation functions of two maximal giant gravitons and two light $frac12$-BPS operators in 4d $mathcalN=4$ SYM. Viewed as two-point correlators in the presence of a zero dimensional defect, they can be completely fixed at strong coupling using […]
Kavli Affiliate: Xinan Zhou | First 5 Authors: Junding Chen, Yunfeng Jiang, Xinan Zhou, , | Summary: We consider correlation functions of two maximal giant gravitons and two light $frac{1}{2}$-BPS operators in 4d $mathcal{N}=4$ SYM. Viewed as two-point correlators in the presence of a zero dimensional defect, they can be completely fixed at strong coupling […]