A NEW CHARACTERIZATION OF HOLOMORPHIC FUNCTIONS IN THE UNIT DISK

Regularity on the boundary in spaces of holomorphic functions on the unit disk

We review some results on regularity on the boundary in spaces of analytic functions on the unit disk connected with backward shift invariant subspaces in H.

On Holomorphic Isometric Embeddings of the Unit Disk into Polydisks

We study the classification of holomorphic isometric embeddings of the unit disk into polydisks. As a corollary of our results, we can give a complete classification when the target is the 2-disk and the 3-disk. We also prove that the holomorphic isometric embeddings between polydisks are induced by those of the unit disk into polydisks.

Random Holomorphic Iterations and Degenerate Subdomains of the Unit Disk

Given a random sequence of holomorphic maps f1, f2, f3, . . . of the unit disk ∆ to a subdomain X, we consider the compositions Fn = f1 ◦ f2 ◦ . . . fn−1 ◦ fn. The sequence {Fn} is called the iterated function system coming from the sequence f1, f2, f3, . . . . We prove that a sufficient condition on the domain X for all limit functions of any {Fn} to be constant is also necessary. We prove the...

Ribbon R-trees and holomorphic dynamics on the unit disk

solution of security constrained unit commitment problem by a new multi-objective optimization method

چکیده-پخش بار بهینه به عنوان یکی از ابزار زیر بنایی برای تحلیل سیستم های قدرت پیچیده ،برای مدت طولانی مورد بررسی قرار گرفته است.پخش بار بهینه توابع هدف یک سیستم قدرت از جمله تابع هزینه سوخت ،آلودگی ،تلفات را بهینه می کند،و هم زمان قیود سیستم قدرت را نیز برآورده می کند.در کلی ترین حالتopf یک مساله بهینه سازی غیر خطی ،غیر محدب،مقیاس بزرگ،و ایستا می باشد که می تواند شامل متغیرهای کنترلی پیوسته و گ...