We prove a formula relating the Hausdorff dimension of a subset of the unit interval and the Hausdorff dimension of the same set with respect to a random path matric on the interval, which is generated using a multiplicative cascade. When the random variables generating the cascade are exponentials of Gaussians, the well known KPZ formula of Knizhnik, Polyakov and Zamolodchikov from quantum gra...

background:  the development of nanotechnology has been a boon to mankind as its significance paved the way for several applications in therapeutics. this study was to evaluate the anti-arthritic capability of nano selenium-lovastatin mixture (lov-se) against inflammatory cascade in arthritic irradiated rats. materials and methods: animal model of arthritis was organized by subcutaneous injecti...

Capacity and efficiency of any refrigerating system diminish rapidly as the difference between the evaporating and condensing temperature is increased by reduction in the evaporator temperature. The single stage vapour compression refrigeration system is limited to an evaporator temperature of -40 C. Below temperature of -40 C the either cascade refrigeration system or multi stage vapour compre...

Capacity and efficiency of any refrigerating system diminish rapidly as the difference between the evaporating and condensing temperature is increased by a reduction in the evaporator temperature. The single stage vapour compression refrigeration system using various refrigerants are limited to an evaporator temperature of -40 0C. Below temperature of -40 0C the either cascade refrigeration sys...

In this paper, by introducing characteristic polynomial of a cascade algorithm and joint spectral radius on a nitely dimensional space, we give complete characterization of the rate of convergence and increment of the cascade algorithm in Besov spaces and TriebelLizorkin spaces. Also moment conditions of the initial distribution and the re nable distribution in the cascade algorithm, close rela...

We describe a MIX cascade protocol and a reputation system that together increase the reliability of a network of MIX cascades. In our protocol, MIX nodes periodically generate a communally random seed that, along with their reputations, determines cascade configuration. Nodes send test messages to monitor their cascades. Senders can also demonstrate message decryptions to convince honest casca...

Radical extraction is the core technique for radical-based Chinese character recognition. In this paper, we proposed a new method of radical extraction – radical cascade classifier. The radical cascade classifier consists of multiple AdaBoost classifiers. It can detect and extract specific radical from characters. To apply cascade classifier to radical extraction, we focus on two main points: f...

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The purpose of this note is to determine the weak limit of a sequence of (normalized) multiplicative cascade measures under strong disorder in terms of the extremes of an associated branching random walk, assuming i.i.d positive, non-lattice bond weights and a second moment condition. The solution is expressed as an almost sure coupling of random probability measures in the disorder parameter β...