The frontier of a planar Brownian motion is the boundary of the unbounded component of the complement of its range. In this paper we find the Hausdorff dimension of the set of double points on the frontier. Résumé: Nous déterminons la dimension de Hausdorff de l’ensemble des points doubles situés sur la frontière d’un mouvement brownien plan. MSC 2000: Primary 60J65; Secondary 60G17.

This paper presents a method for performance evaluation, ranking and clustering based on the double-frontier view to analyze the complex networks. The model allows us to open the structure of the “black box” and can help to obtain important information about efficient and inefficient points of the system. In this paper, we consider a three-stage network, in respect to the additional desirable a...

Garbage collection algorithms have a profound impact on the performance and life span of flash-based solid state drives. Recently, the d-choices garbage collection algorithm was shown to provide an excellent tradeoff between simplicity and performance [21]. In this paper, we introduce the d-choices garbage collection algorithm with memory and analyze its write performance using both synthetic a...

Single-atom and double-atom catalysts have emerged as a new Frontier in many fields due to their high atom-utilization efficiency, excellent catalytic properties good durability.

This report investigates 2nd Fall and 3rd Fall retention rates by Expected Family Contribution (EFC) for recent full-time, first-time (FTFT) freshman cohorts. This report serves as an update to, and extension of, prior retention by EFC reports that focused on 2 Fall Retention as the sole dependent variable. Sub-groups of interest including First Generation students, minority ethnicity students,...

The detailed mechanism of the double hydrophosphination of terminal arylacetylenes catalyzed by an iron complex was studied by density functional theory. The calculated results suggest that the reaction proceeds in three steps: active species generation, single hydrophosphination reaction (Cycle 1), double hydrophosphination reaction, viz., active species regeneration (Cycle 2). The results unc...