Erwin Adriaans,Júlia Komjáthy
Erwin Adriaans
In this paper we study first-passage percolation in the configuration model with empirical degree distribution that follows a power-law with exponent τ ∈ ( 2 , 3 ) . We assign independent and identically distributed (i.i.d.) wei...
Triadic Closure in Configuration Models with Unbounded Degree Fluctuations [0.03%]
具有无界度波动的配置模型中的三元闭合性
Remco van der Hofstad,Johan S H van Leeuwaarden,Clara Stegehuis
Remco van der Hofstad
The configuration model generates random graphs with any given degree distribution, and thus serves as a null model for scale-free networks with power-law degrees and unbounded degree fluctuations. For this setting, we study the local clust...
Svante Janson
Svante Janson
We study a recent model for edge exchangeable random graphs introduced by Crane and Dempsey; in particular we study asymptotic properties of the random simple graph obtained by merging multiple edges. We study a number of examples, and show...
Instability, Rupture and Fluctuations in Thin Liquid Films: Theory and Computations [0.03%]
薄液膜的不稳定性、破裂和波动：理论与计算研究进展
Miguel A Durán-Olivencia,Rishabh S Gvalani,Serafim Kalliadasis et al.
Miguel A Durán-Olivencia et al.
Thin liquid films are ubiquitous in natural phenomena and technological applications. They have been extensively studied via deterministic hydrodynamic equations, but thermal fluctuations often play a crucial role that needs to be understoo...
Wolter Groenevelt
Wolter Groenevelt
We obtain stochastic duality functions for specific Markov processes using representation theory of Lie algebras. The duality functions come from the kernel of a unitary intertwiner between ∗ -representations, which provides (genera...
On statistical modeling of sequencing noise in high depth data to assess tumor evolution [0.03%]
利用高通量测序数据的统计模型评估肿瘤演化及测序噪音的影响
Raul Rabadan,Gyan Bhanot,Sonia Marsilio et al.
Raul Rabadan et al.
One cause of cancer mortality is tumor evolution to therapy-resistant disease. First line therapy often targets the dominant clone, and drug resistance can emerge from preexisting clones that gain fitness through therapy-induced natural sel...
PCA meets RG [0.03%]
主成分分析遇见重正化量子场论
Serena Bradde,William Bialek
Serena Bradde
A system with many degrees of freedom can be characterized by a covariance matrix; principal components analysis (PCA) focuses on the eigenvalues of this matrix, hoping to find a lower dimensional description. But when the spectrum is nearl...
The Influence of Higher-Order Epistasis on Biological Fitness Landscape Topography [0.03%]
高阶上位性对生物适应度景观地形的影响
Daniel M Weinreich,Yinghong Lan,Jacob Jaffe et al.
Daniel M Weinreich et al.
The effect of a mutation on the organism often depends on what other mutations are already present in its genome. Geneticists refer to such mutational interactions as epistasis. Pairwise epistatic effects have been recognized for over a cen...
William Ott,Mauricio A Rivas,James West
William Ott
Can Lyapunov exponents of infinite-dimensional dynamical systems be observed by projecting the dynamics into ℝ N using a 'typical' nonlinear projection map? We answer this question affirmatively by developing embedding theorems for compact...
On the Linear Stability of Crystals in the Schrödinger-Poisson Model [0.03%]
Schrödinger-Poisson模型中晶体的线性稳定性分析
A Komech,E Kopylova
A Komech
We consider the Schrödinger-Poisson-Newton equations for crystals with one ion per cell. We linearize this dynamics at the periodic minimizers of energy per cell and introduce a novel class of the ion charge densities that ensures the stab...