We provide an estimate, sharp up to poly-logarithmic factors, of the asymptotically almost sure mixing time of the graph created by long-range percolation on the cycle of length N (Z/NZ). While it is known that the almost sure diameter drops from linear to poly-logarithmic as the exponent s decreases below 2 [4, 9], the almost sure mixing time drops from N only to N (up to poly-logarithmic fact...

We consider tilings of Z by two types of squares. We are interested in the rate of convergence to the stationarity of a natural Markov chain defined for square tilings. The rate of convergence can be represented by the mixing time which measures the amount of time it takes the chain to be close to its stationary distribution. We prove polynomial mixing time for n× logn regions in the case of ti...

Policy gradient reinforcement learning (PGRL) has been receiving substantial attention as a mean for seeking stochastic policies that maximize cumulative reward. However, the learning speed of PGRL is known to decrease substantially when PGRL explores the policies that give the Markov chains having long mixing time. We study a new approach of regularizing how the PGRL explores the policies by t...

This experiment was conducted to investigate the effects of different levels of canola oil and diet mixing time length on performance, carcass traits and blood lipids in broilers. In this experiment 288 Ross-308 broilers were used from 11 up to 42 days as factorial arrangement (3×2) included three levels of canola oil (0, 3 and 6%) and two mixing time length (10 and 15 minute) in 6 treatments, ...

knowledge of fluid flow can play a basic role in optimizing mixing processes. in preparation of sodium perborate, sodium metaborate and hydrogen peroxide, as raw materials, mix and react in the presence of a turbine mixer. in this investigation, the effect of the presence of baffle in a mixing tank equipped with a two-impeller turbine agitator was studied. at first, steady state flow in the tan...

We consider an elliptic and time-inhomogeneous diffusion process with timeperiodic coefficients evolving in a bounded domain of R with a smooth boundary. The process is killed when it hits the boundary of the domain (hard killing) or after an exponential time (soft killing) associated with some bounded rate function. The branching particle interpretation of the non absorbed diffusion again beha...

Considering multivariate strongly mixing time series, nonparametric tests for a constant copula with specified or unspecified change point (candidate) are derived; the tests are consistent against general alternatives. A tapered block multiplier technique based on serially dependent multiplier random variables is provided to estimate p-values of the test statistics. Size and power of the tests ...