In the present study, 7% silver-low-density thin polyethylene films were successfully prepared through the melt mixing method. These films were applied to reduce the harmful antibacterial properties of Huso huso fillets at refrigeration temperatures, thus extending their shelf life. The total viable bacteria count for H. huso fillets wrapped in a 7% Ag/LDPE nanocomposite was 3.04±2.43 (log CFU/...

Consider the random walk among N places with N(N - 1)/2 transports. We attach an exponential random variable Xij to each transport between places Pi and Pj and take these random variables mutually independent. If transports are possible or impossible independently with probability p and 1-p, respectively, then we give a lower bound for the distribution function of the smallest path at point log...

The Kesten-Stigum Theorem is a fundamental criterion for the rate of growth of a supercritical branching process, showing that an L log L condition is decisive. In critical and subcritical cases, results of Kolmogorov and later authors give the rate of decay of the probability that the process survives at least n generations. Through a uniied approach, we give conceptual proofs of these theorem...

We consider random Cayley digraphs of order n with uniformly distributed generating set of size k. Specifically, we are interested in the asymptotics of the probability such a Cayley digraph has diameter two as n →∞ and k = f(n). We find a sharp phase transition from 0 to 1 as the order of growth of f(n) increases past √ n log n. In particular, if f(n) is asymptotically linear in n, the probabi...