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Articles 1 - 4 of 4
Full-Text Articles in Physical Sciences and Mathematics
Finite Groups In Which Pronomality And ๐-Pronormality Coincide, Adolfo Ballester-Bolinches, James C. Beidleman, Arnold D. Feldman, Matthew F. Ragland
Finite Groups In Which Pronomality And ๐-Pronormality Coincide, Adolfo Ballester-Bolinches, James C. Beidleman, Arnold D. Feldman, Matthew F. Ragland
Mathematics Faculty Publications
For a formation ๐, a subgroup U of a finite group G is said to be ๐-pronormal in G if for each g โ G, there exists x โ โจU, Ugโฉ ๐ such that Ux = Ug. If ๐ contains ๐, the formation of nilpotent groups, then every ๐-pronormal subgroup is pronormal and, in fact, ๐-pronormality is just classical pronormality. The main aim of this paper is to study classes of finite soluble groups in which pronormality and ๐-pronormality coincide.
Molecular Network Control Through Boolean Canalization, David Murrugarra, Elena S. Dimitrova
Molecular Network Control Through Boolean Canalization, David Murrugarra, Elena S. Dimitrova
Mathematics Faculty Publications
Boolean networks are an important class of computational models for molecular interaction networks. Boolean canalization, a type of hierarchical clustering of the inputs of a Boolean function, has been extensively studied in the context of network modeling where each layer of canalization adds a degree of stability in the dynamics of the network. Recently, dynamic network control approaches have been used for the design of new therapeutic interventions and for other applications such as stem cell reprogramming. This work studies the role of canalization in the control of Boolean molecular networks. It provides a method for identifying the potential edges โฆ
Convergence Rates And Hรถlder Estimates In Almost-Periodic Homogenization Of Elliptic Systems, Zhongwei Shen
Convergence Rates And Hรถlder Estimates In Almost-Periodic Homogenization Of Elliptic Systems, Zhongwei Shen
Mathematics Faculty Publications
For a family of second-order elliptic systems in divergence form with rapidly oscillating, almost-periodic coefficients, we obtain estimates for approximate correctors in terms of a function that quantifies the almost periodicity of the coefficients. The results are used to investigate the problem of convergence rates. We also establish uniform Hรถlder estimates for the Dirichlet problem in a bounded C1,ฮฑ domain.
Homogenization Of Stokes Systems And Uniform Regularity Estimates, Shu Gu, Zhongwei Shen
Homogenization Of Stokes Systems And Uniform Regularity Estimates, Shu Gu, Zhongwei Shen
Mathematics Faculty Publications
This paper is concerned with uniform regularity estimates for a family of Stokes systems with rapidly oscillating periodic coefficients. We establish interior Lipschitz estimates for the velocity and Lโ estimates for the pressure as well as a Liouville property for solutions in โd. We also obtain the boundary W1,p estimates in a bounded C1 domain for any 1 < p < โ.