Connections between longest increasing subsequences in random permutations and eigenvalues of random matrices with complex entries have been intensely studied. This note applies properties of random elements of the finite general linear group to obtain results about the longest increasing subsequence in non-uniform random permutations.

in the present study, effect of five isolates of trichoderma harzianum on growth parameters of tomato was carried out as cr design with six replications under greenhouse conditions. the concentrations 0.5%, 1% and 1.5% inoculums per pot were used. plant length, shoot and root fresh/dry weight, number of leaves and stem diameter as growth parameters were measured. the results showed that isolate...

introduction: economic development and public welfare are some of macroeconomic goals for any country. health economy is one of the parameters as criterion for action in evaluation of this important subject. the present study has been intended to investigate into the relationship among factors of health economy including total health expenditures (some percent of gross domestic product gdp), li...

Introduction: Economic development and public welfare are some of macroeconomic goals for any country. Health economy is one of the parameters as criterion for action in evaluation of this important subject. The present study has been intended to investigate into the relationship among factors of health economy including total health expenditures (some percent of Gross Domestic Product GDP), li...

We consider the concentration of measure for n iid, two-dimensional random variables, under the conditioning that they form a record. Under mild conditions, we show that all random variables tend to concentrate, as n ! 1, around limiting curves, which are the solutions of an appropriate variational problem. We also show that the same phenomenum occurs, without the records conditioning, for the ...