Correction. Central limit theorems for additive functionals of the simple exclusion process

Correction to Annals of Probability 28 (2000) 277--302 [doi:10.1214/aop/1019160120].Comment: Published at http://dx.doi.org/10.1214/009117905000000521 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org

A Comparative study to find out the effect of Task Oriented Training along with specially developed serious games and Task Oriented Training alone on Lower Extremity Function in Diplegic Cerebral Palsy

The purpose of the study was to find out the effect of task oriented training alone and task oriented training with specially developed serious games on lower extremity function in Diplegic cerebral palsy. Based on the statistical analysis Group B subjects shows a significant improvement than Group A. The task oriented training was proved to improve balance and gait whereas the task oriented training along with specially developed serious games gives much more improvement of balance and gait in lower extremity function in Diplegic cerebral palsy. Thus the study was concluded that task oriented training with specially developed serious games helps to improve the balance and gait in children with Diplegic cerebral palsy

Growth of preferential attachment random graphs via continuous-time branching processes

A version of ``preferential attachment'' random graphs, corresponding to linear ``weights'' with random ``edge additions,'' which generalizes some previously considered models, is studied. This graph model is embedded in a continuous-time branching scheme and, using the branching process apparatus, several results on the graph model asymptotics are obtained, some extending previous results, such as growth rates for a typical degree and the maximal degree, behavior of the vertex where the maximal degree is attained, and a law of large numbers for the empirical distribution of degrees which shows certain ``scale-free'' or ``power-law'' behaviors.Comment: 20 page

Atypical behaviors of a tagged particle in asymmetric simple exclusion

Consider the asymmetric nearest-neighbor exclusion process (ASEP) on ${\mathbb Z}$ with single particle drift $\gamma>0$, starting from a Bernoulli product invariant measure $\nu_\rho$ with density $\rho$. It is known that the position $X_{N}$ of a tagged particle, say initially at the origin, at time $N$ satisfies an a.s. law of large numbers $\frac{1}{N}X_N \rightarrow \gamma(1-\rho)$ as $N\uparrow\infty$. In this context, we study the `typical' behavior of the tagged particle and `bulk' density evolution subject to `atypical' events $\{X_N\geq AN\}$ or $\{X_N\leq AN\}$ for $A\neq \gamma(1-\rho)$. We detail different structures, depending on whether $A<0$, $0\leq A< \gamma(1-\rho)$, $\gamma(1-\rho)<A< \gamma$, or $A\geq \gamma$, under which these atypical events are achieved, and compute associated large deviation costs. Among our results is an `upper tail' large deviation principle in scale $N$ for $\frac{1}{N}X_N$.Comment: 39 page

Throughput Optimization in High Speed Downlink Packet Access (HSDPA)

In this paper, we investigate throughput optimization in High Speed Downlink Packet Access (HSDPA). Specifically, we propose offline and online algorithms for adjusting the Channel Quality Indicator (CQI) used by the network to schedule data transmission. In the offline algorithm, a given target BLER is achieved by adjusting CQI based on ACK/NAK history. By sweeping through different target BLERs, we can find the throughput optimal BLER offline. This algorithm could be used not only to optimize throughput but also to enable fair resource allocation among mobile users in HSDPA. In the online algorithm, the CQI offset is adapted using an estimated short term throughput gradient without specifying a target BLER. An adaptive stepsize mechanism is proposed to track temporal variation of the environment. We investigate convergence behavior of both algorithms. Simulation results show that the proposed offline algorithm can achieve the given target BLER with good accuracy. Both algorithms yield up to 30% HSDPA throughput improvement over that with 10% target BLER