We study here numerically the behavior of an ideal gas like model of markets having only one non-consumable commodity. We investigate the behavior of the steady-state distributions of money, commodity and total wealth, as the dynamics of trading or exchange of money and commodity proceeds, with local (in time) fluctuations in the price of the commodity. These distributions are studied in market...

This work proposes and studies the properties of a hybrid sampling scheme that mixes independent uniform node sampling and random walk (RW)-based crawling. We show that our sampling method combines the strengths of both uniform and RW sampling while minimizing their drawbacks. In particular, our method increases the spectral gap of the random walk, and hence, accelerates convergence to the stat...

In this paper, we examine the cause of the border e ect observed in many mobility models used to construct simulations of ad hoc networking protocol performance. We specify conditions under which a node mobility model must produce spatial mobile node distribution functions that obey the di usion equation. In particular demonstrate that these conditions are satis ed by the random direction (RD) ...

A probability distribution over {0, 1} is k-wise independent if its restriction to any k coordinates is uniform. More generally, a discrete distribution D over Σ1 × · · · × Σn is called (non-uniform) k-wise independent if for any subset of k indices {i1, . . . , ik} and for any z1 ∈ Σi1 , . . . , zk ∈ Σik , PrX∼D[Xi1 · · ·Xik = z1 · · · zk] = PrX∼D[Xi1 = z1] · · ·PrX∼D[Xik = zk]. k-wise indepen...

In this article, by employing the surface integral and other useful formulas related to multidimensional integrals, we obtain the characteristic functions (c.f.'s) for L 1-spherical and L 1-norm symmetric distributions. These c.f.'s can be used to derive the probability density functions (p.d.f.'s) of linear combinations of variables. We shall show that this gives a uniied approach to the treat...

It has been suggested that a random tree puzzle (RTP) process leads to a Yule-Harding (YH) distribution, when the number of taxa becomes large. In this study, we formalize this conjecture, and we prove that the two tree distributions converge for two particular properties, which suggests that the conjecture may be true. However, we present statistical evidence that, while the two distributions ...

Pseudo-random numbers are often required for simulations performed on parallel computers. The requirements for parallel random number generators are more stringent than those for sequential random number generators. As well as passing the usual sequential tests on each processor, a parallel random number generator must give different, independent sequences on each processor. We consider the req...