Results 41 to 50 of about 2,765,689 (216)
Product of Ginibre matrices: Fuss-Catalan and Raney distributions
, 2011 Squared singular values of a product of s square random Ginibre matrices are asymptotically characterized by probability distribution P_s(x), such that their moments are equal to the Fuss-Catalan numbers or order s.
Penson, Karol A., Zyczkowski, Karol
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Hypergeometric representation of the two-loop equal mass sunrise diagram [PDF]
Phys.Lett. B638 (2006) 195-201, 2006 A recurrence relation between equal mass two-loop sunrise diagrams differing in dimensionality by 2 is derived and it's solution in terms of Gauss' 2F1 and Appell's F_2 hypergeometric functions is presented. For arbitrary space-time dimension d the imaginary part of the diagram on the cut is found to be the 2F1 hypergeometric function with argument ...
arxiv +1 more source
Advanced Science, EarlyView.Utilizing a stereotaxic injection mouse model and a novel mathematical approach, this study uncovers key subnetworks that drive pathological α‐synuclein (α‐Syn) progression in Parkinson's disease (PD). Remarkably, just 2% of the strongest connections in the connectome are sufficient to predict its spread.
Yuanxi Li +16 more
wiley +1 more source
On mini-superspace limit of boundary three-point function in Liouville field theory
, 2017 We study mini-superspace semiclassical limit of the boundary three-point function in the Liouville field theory. We compute also matrix elements for the Morse potential quantum mechanics. An exact agreement between the former and the latter is found.
Apresyan, Elena, Sarkissian, Gor
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De Novo Reconstruction of 3D Human Facial Images from DNA Sequence
Advanced Science, EarlyView.This study introduces Difface, a novel deep‐learning model for reconstructing 3D facial images only from DNA data. By integrating transformer networks, spiral convolutions, and a diffusion model, Difface directly aligns high‐dimensional SNP data with 3D facial structures.
Mingqi Jiao +11 more
wiley +1 more source
Certain hypergeometric series related to the root system BC
, 1993 We show that the generalized hypergeometric function 2 F 1 of matrix argument is the series expansion at the origin of a special case of the hypergeometric function associated with the root system of type BC.
R. Beerends, E. Opdam
semanticscholar +1 more source
Advanced Science, EarlyView.A CTGF‐LYTAC nanoplatform is developed to selectively degrade connective tissue growth factor (CTGF) in triple‐negative breast cancer (TNBC), inhibiting TGF‐β signaling and cell interactions in the tumor microenvironment (TME). This strategy effectively suppresses tumor growth and metastasis, outperforming antibody‐based therapy.
Jia‐Yi Lin +11 more
wiley +1 more source
Advanced Science, EarlyView.In the tripartite‐species model, Drosophila larvae stimulate lactate production through excreting digestion enzymes. S. marcescens population senses a cue of lactate and tends to diverge into virulent and reduced virulence subclusters with remarkable heterogeneity to metabolize carbon metabolism and counter colonization resistance, giving a fitness ...
Sheng Zhang +10 more
wiley +1 more source
scCompass: An Integrated Multi‐Species scRNA‐seq Database for AI‐Ready
Advanced Science, EarlyView.scCompass integrates and standardizes transcriptomic data from ≈105 million single cells across 13 species, enabling the identification of stable expression genes and organ‐specific expression genes in humans and mice. It provides scalable datasets for AI model training, pretrained model checkpoints, and user‐friendly platforms for data sharing ...
Pengfei Wang +29 more
wiley +1 more source
Distributions on partitions, point processes, and the hypergeometric kernel
, 1999 We study a 3-parametric family of stochastic point processes on the one-dimensional lattice originated from a remarkable family of representations of the infinite symmetric group.
Borodin, Alexei, Olshanski, Grigori
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