Enclosing all zeros of an analytic function — A rigorous approach

The Zeros of an Analytic Function of Arbitrarily Rapid Growth1

In case K is a division ring, the set S coincides with the set generated by the perfect squares as used by Szele. This follows easily from the identity xyx = (xy)2(y~1)2y, x, yEK*. If the domain of integrity K is ordered, say K* = P\J( — P), then for an extension L of K the ordering of K can be extended to an ordering of L if and only if TEL*, where T is the additive semigroup in L generated by...

Zeros of a Random Analytic Function Approach Perfect Spacing under Repeated Differentiation

We consider an analytic function whose zero set forms a unit intensity Poisson process on the real line. We show that repeated differentiation causes the zero set to converge in distribution to a random translate of the integers.

the aesthetic dimension of howard barkers art: a frankfurtian approach to scenes from an execution and no end of blame

رابطه ی میانِ هنر و شرایطِ اجتماعیِ زایش آن همواره در طولِ تاریخ دغدغه ی ذهنی و دل مشغولیِ اساسیِ منتقدان و نیز هنرمندان بوده است. از آنجا که هنر در قفس آهنیِ زندگیِ اجتماعی محبوس است، گسترش وابستگیِ آن با نهاد ها و اصولِ اجتماعی پیرامون، صرفِ نظر از هم سو بودن و یا غیرِ هم سو بودنِ آن نهاد ها، امری اجتناب ناپذیر به نظر می رسد. با این وجود پدیدار گشتنِ چنین مباحثِ حائز اهمییتی در میان منتقدین، با ظهورِ مکتب ما...

Zeros of Random Analytic Functions

Zeros of Random Analytic Functions The dominant theme of this thesis is that random matrix valued analytic functions, generalizing both random matrices and random analytic functions, for many purposes can (and perhaps should) be effectively studied in that level of generality. We study zeros of random analytic functions in one complex variable. It is known that there is a one parameter family o...

On the Zeros of the Derivatives of a Function and Its Analytic Character