Time intervals distribution of stock transactions and time correlation of stock indices in the model space

The formerly introduced model (Physica A 265 (1999) 264; Physica A 287 (2000) 450) of stock market where bodies in the virtual space represent companies and enterprises is used for calculation of time transaction intervals as well as the time correlation of stock indices. A single transaction is treated as an act of transient radiation while a body in a model space passes the boundary between two areas of different potentials existed due to potential fluctuations. The first approximation gives the transaction time intervals Δt distribution ((Δt/τtr)2+1)−2 instead of (Δt)−3.4 obtained by Stanleyʹs group (Physica A 287 (2000) 362). Time correlations of stock indices are inversely proportional to the square root of the number of companies, listed at the corresponding stock exchange. The first approximation of ratio of DJIA stock index time correlation to SP500 one is .