Observations from the Hawaiian Ocean Mixing Experiment (HOME) survey component suggest an increase in diapycnal mixing events during spring tides in a region above a steep slope. To study possible mixing mechanisms, we utilize numerical simulations of the benthic boundary layer, using a domain on the order of 200 m, with environmental parameters consistent with the conditions during HOME. In mo...

We derive strong mixing conditions for many existing discrete-valued time series models that include exogenous covariates in the dynamic. Our main contribution is to study how a condition on covariate process transfers response. Using coupling method, we first some Markov chains random environments, which gives result autoregressive categorical processes with strictly regressors. then extended ...

Let {Xn,n 1} be a sequence of φ -mixing random variables with non-identical distribution and {ani;1 i n,n 1} be an array of real constants. In this paper, we study the strong law of large numbers for the maximal weighted sums of φ -mixing random variables. The results obtained generalize and improve the previous known result of Bai and Cheng (Z.D. Bai and P.E. Cheng, 2000. Marcinkiewicz strong ...

Let {Y :n ~ o} be a Harris-recurrent Markov chain on a general state n space. It is shown that {Y J is strong mixing, provided there exists a n stationary probability distribution ~(.) for {Y}. We use this result to n establish that certain stationary autoregressive moving average processes are strong mixing. Necessary and sufficient conditions for a first order autoregressive process to be uni...

We provide an optimally mixing Markov chain for 6-colourings of the square grid. Furthermore, this implies that the uniform distribution on the set of such colourings has strong spatial mixing. 4 and 5 are now the only remaining values of k for which it is not known whether there exists a rapidly mixing Markov chain for k-colourings of the square grid.