Erratum to: “Distinguished varieties”

Distinguished Varieties

A distinguished variety is a variety that exits the bidisk through the distinguished boundary. We show that Andô’s inequality for commuting matrix contractions can be sharpened to looking at the maximum modulus on a distinguished variety, not the whole bidisk. We show that uniqueness sets for extremal Pick problems on the bidisk always contain a distinguished variety.

Nevanlinna-pick Interpolation on Distinguished Varieties in the Bidisk

This article treats Nevanlinna-Pick interpolation in the setting of a special class of algebraic curves called distinguished varieties. An interpolation theorem, along with additional operator theoretic results, is given using a family of reproducing kernels naturally associated to the variety. The examples of the Neil parabola and doubly connected domains are discussed.

Erratum to: Armentum: a hybrid direct search optimization methodology

In the original publication of this article unfortunately the co-authors were omitted. The two co-authors are displayed now.

Erratum

Transgenerational Variations in DNA Methylation Induced by Drought Stress in Two Rice Varieties with Distinguished Difference to Drought Resistance

Adverse environmental conditions have large impacts on plant growth and crop production. One of the crucial mechanisms that plants use in variable and stressful natural environments is gene expression modulation through epigenetic modification. In this study, two rice varieties with different drought resistance levels were cultivated under drought stress from tilling stage to seed filling stage...