Cantor set zeros of one-dimensional Brownian motion minus Cantor function

It was shown by Antunovi\'{c}, Burdzy, Peres, and Ruscher that a Cantor function added to one-dimensional Brownian motion has zeros in the middle $\alpha$-Cantor set, $\alpha \in (0,1)$, with positive probability if and only if $\alpha \neq 1/2$. We give a refined picture by considering a generalized version of middle 1/2-Cantor sets. By allowing the middle 1/2 intervals to vary in size around the value 1/2 at each iteration step we will see that there is a big class of generalized Cantor functions such that if these are added to one-dimensional Brownian motion, there are no zeros lying in the corresponding Cantor set almost surely.Comment: 19 pages, improved Theorem 3.

Evaluative Standards In Art Criticism: A Defence

To a superficial consideration, art criticism might appear as a profession of a parasitic nature, nourishing itself on what is produced by others: by artists. In fact, however, the relation between artistic practice and its criticism is more adequately conceived of as a sort of symbiosis. For, while it is true that criticism depends on and presupposes the existence of its objects - that is, works of art - on the other hand nothing would prevent good art from being equated with and contaminated by bad art if critics ceased to draw a distinction between the two

At First Ever Star Field Flashlight Exhibition, Expect the Unexpected

On Sunday May 5, RWU artists of all types will showcase their work at the WaterFire Arts Center, in the first-ever Star Field Flashlight Exhibition

Temporary Sculpture: Activating the Ordinary

Invite students to use everyday objects as art making materials. Through this lesson students will be challenged to consider how everyday objects can be re- imagined as art making materials. In this lesson students will research and discuss every day materials from the art room as materials for sculptures. Students will also consider how the ordinary spaces around them could be activated by the addition of a sculpture.https://scholarscompass.vcu.edu/cstae_resource_early/1000/thumbnail.jp

Effectiveness, Efficiency, and Ethics of Marketing Analytics

Abstract The concept of big data has influenced the marketing field in numerous ways. By having access to more information about their consumers than ever before, marketers are presented with a unique opportunity to make the marketing process more streamlined and effective than ever; however, this also creates a challenge in understanding how this targeted advertising affects the brand’s perception by consumers. This study looks at the concepts of data marketing and re-targeted ads from three aspects. First, are marketers being as effective as possible to ensure they are sending the right advertisement, to the right customer, at the right time? Second, are marketers being as efficient as possible when choosing the correct platform to reach their target customers? Third, are companies remembering the ethical components of collecting this information on consumers, and ensuring they understand when consumers feel specialized advertising becomes an invasion of their privacy? To answer these questions, I first performed secondary research in the form of a literature review. From surveying the scope of the subject, I then performed primary research by conducting in-depth interviews and a survey. The results show that there are two distinct type of consumers: one group who is accepting of these re-targeted advertisements and welcoming of the specialized marketing, and a second group who is skeptical of this form of marketing and concerned over privacy issues. Marketers must be aware of these two distinct types of consumers and ensure they are choosing their advertising methods carefully to ensure an efficient utilization of resources and to make sure they are not presenting a detriment to their brand for the consumers who do not want catered advertisements