We consider a variant of the game of Cops and Robbers, called Lazy Cops and Robbers, where at most one cop can move in any round. We investigate the analogue of the cop number for this game, which we call the lazy cop number. Lazy Cops and Robbers was recently introduced by Offner and Ojakian, who provided asymptotic upper and lower bounds on the lazy cop number of the hypercube. By coupling th...

Publications are increasingly (often wrongly) being used as research outputs. Furthermore, ‘impacts’ of such publications are often (wrongly as well) measured using ‘citations’. Popular metric, like the ‘Hirsch index’, or ‘h-index’ is used as yardstick for judging the quality of individual researchers. However, there are many controversies around it, whether it is a good yardstick, which could ...

In this paper, we construct a fully homomorphic encryption (FHE) scheme over integers with the message space ZQ for any prime Q. Even for the binary case Q = 2, our decryption circuit has a smaller degree than that of the previous scheme; the multiplicative degree is reduced from O(λ(log λ)) to O(λ), where λ is the security parameter. We also extend our FHE scheme to a batch FHE scheme.

This paper presents a behavioral representation for the class of Nyquist rate A/D converters that captures the nominal behavior , as well as all the statistical variations. To describe noise eeects we use a joint probability density function. To describe behavioral eeects due to process variations we use a covariance matrix, t. Applications of the model include identiication of important A/D er...

We describe the nature of human behavioral organization, specifically how resting and active periods are interwoven throughout daily life. Active period durations with physical activity count successively above a predefined threshold, when rescaled with individual means, follow a universal stretched exponential (gamma-type) cumulative distribution with characteristic time, both in healthy indiv...

objective: various approaches have been offered for resolution of pain resulting from spinal cord injuries. one approach is the use of herbal and natural products. in the present research, as a preliminary study, we investigate the effect of crocin on chronic pain induced by contusion in the rat spinal cord (sci). methods: we randomly divided female wistar rats into five groups. groups i and ii...

Microstimulation is widely used in neurophysiology to characterize brain areas with behavior and in clinical therapeutics to treat neurological disorder. Current intensity and frequency, which respectively influence activation patterns in spatial and temporal domains, are typically selected to elicit a desired response, but their effective influence on behavior has not been thoroughly examined....

The paper demonstrates through a number of Monte-Carlo experiments that, for the type of cross-section data sets typically encountered in applied economics, Chow tests on sorted variations of the data matrix can detect neglected parameter heterogeneity. The paper focuses on heterogeneity in the behavioral responses of economic actors that belong to different economically meaningful groups, such...

We develop a behavioral model as a a computer testbed we can use to study the probable performance of a wide range of mechanisms prior to testing them in a laboratory or using them in practice. In this paper, we describe an implementation of our model and the computer testbed methodology to Groves-Ledyard (1977) mechanisms for provision of public goods. Previous experimental evidence, and some ...

This is the rst systematic experimental study of the comparative performance of two incentive compatible mechanisms for public goods provision: the Basic Quadratic mechanism by Groves and Ledyard and the Paired-Di erence mechanism by Walker. Our experiments demonstrate that the performance of the Basic Quadratic mechanism under a high punishment parameter is far better than the same mechanism u...