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81 papers · 1 filter
Measuring the Degree of Modularity from Gene Expression Noise in Gene Regulatory Circuits
Kyung Hyuk Kim, Herbert M. Sauro
Gene regulatory circuits show significant stochastic fluctuations in their circuit signals due to the low copy number of transcription factors. When a gene circuit component is con…
Pure Point Dynamical and Diffraction Spectra
Jeong-Yup Lee, Robert V. Moody, Boris Solomyak
We show that for multi-colored Delone point sets with finite local complexity and uniform cluster frequencies the notions of pure point diffraction and pure point dynamical spectru…
Consequences of Pure Point Diffraction Spectra for Multiset Substitution Systems
Jeong-Yup Lee, Robert V. Moody, Boris Solomyak
There is a growing body of results in the theory of discrete point sets and tiling systems giving conditions under which such systems are pure point diffractive. Here we look at th…
Scattering rigidity for analytic Riemannian manifolds with a possible magnetic field
Pilar Herreros, James Vargo
Consider a compact Riemannian manifold with boundary endowed with a magnetic field. A path taken by a particle of unit charge, mass, and energy is called a magnetic geodesic. It is…
Estimation of a discrete monotone distribution
Hanna K. Jankowski, Jon A. Wellner
We study and compare three estimators of a discrete monotone distribution: (a) the (raw) empirical estimator; (b) the "method of rearrangements" estimator; and (c) the maximum like…
Assessing the association between trends in a biomarker and risk of event with an application in pediatric HIV/AIDS
Elizabeth R. Brown
We present a new joint longitudinal and survival model aimed at estimating the association between the risk of an event and the change in and history of a biomarker that is repeate…