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## STP Multiplicative Process Program Documents

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#### Main Document

##### STP Multiplicative Process Program

written by Harvey Gould, Jan Tobochnik, Wolfgang Christian, and Anne Cox

The STP Multiplicative Process program simulates the outcome of a random multiplicative process, a product of random numbers. Examples of multiplicative processes include the distributions of incomes, rainfall, and the fragments sizes in rock crushing processes. Consider the latter for which we begin with a rock of size w. We strike the rock with a hammer and generate two fragments whose sizes are pw and (1-p)w.  What is the distribution of the fragments after N blows of the hammer? The default is the random product of two numbers x1 and x2 with probability p = 1/2 multiplied N=4 times.

STP MultiplicativeProcess is part of a suite of Open Source Physics programs that model aspects of Statistical and Thermal Physics (STP). The program is distributed as a ready-to-run (compiled) Java archive. Double clicking the stp_MultiplicativeProcess.jar file will run the program if Java is installed on your computer. Additional programs can be found by searching ComPADRE for Open Source Physics, STP, or Statistical and Thermal Physics.

#### Supplemental Documents (2)

##### STP Multiplicative Process Documentation

A pdf document that briefly describes the STP Multiplicative Process program. It describes how to use the stp_MultiplicativeProcess.jar file and contains short tutorial exercises for use with the jar file.

Published March 9, 2009