poisson_simulation, a MATLAB code which simulates a Poisson process in which events occur uniformly at random, with an average waiting time of Lambda.
Note that the Poisson distribution therefore also describes the distribution of distances from one point to the next, assuming the points are distributed uniformly at random along a line, with average density Lambda per unit length.
The computer code and data files described and made available on this web page are distributed under the MIT license
poisson_simulation is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
brownian_motion_simulation, a MATLAB code which simulates Brownian motion in an M-dimensional region.
chuckaluck_simulation, a MATLAB code which simulates the Chuck-a-Luck gambling game.
coin_simulation, a MATLAB code which looks at ways of simulating or visualizing the results of many tosses of a fair or biased coin.
dice_simulation, a MATLAB code which simulates N tosses of M dice, making a histogram of the results.
duel_simulation, a MATLAB code which simulates N repetitions of a duel between two players, each of whom has a known firing accuracy.
fair_dice_simulation, a MATLAB code which simulates N tosses of 2 dice, making a histogram of the results.
fire_simulation, a MATLAB code which simulates a forest fire over a rectangular array of trees, starting at a single random location.
gamblers_ruin_simulation, a MATLAB code which simulates the game of gambler's ruin.
high_card_simulation, a MATLAB code which simulates a situation in which you see the cards in a deck one by one, and must select the one you think is the highest and stop.
ising_2d_simulation, a MATLAB code which carries out a Monte Carlo simulation of an Ising model, a 2D array of positive and negative charges, each of which is likely to "flip" to be in agreement with neighbors.
jai_alai_simulation, a MATLAB code which simulates matches of jai alai.
random_walk_1d_simulation, a MATLAB code which simulates a random walk in a 1-dimensional region.
random_walk_2d_avoid_simulation, a MATLAB code which simulates a self-avoiding random walk in a 2-dimensional region.
random_walk_2d_simulation, a MATLAB code which simulates a random walk in a 2-dimensional region.
random_walk_3d_simulation, a MATLAB code which simulates a random walk in a 3-dimensional region.
reactor_simulation, a MATLAB code which a simple Monte Carlo simulation of the shielding effect of a slab of a certain thickness in front of a neutron source. This code was provided as an example with the book "Numerical Methods and Software."
roulette_simulation, a MATLAB code which simulates the spinning of a roulette wheel and the evaluation of certain common roulette bets.
sir_simulation, a MATLAB code which simulates the spread of a disease through a hospital room of M by N beds, using the SIR (Susceptible/Infected/Recovered) model.
traffic_simulation, a MATLAB code which simulates the cars waiting to get through a traffic light.
truel_simulation, a MATLAB code which simulates N repetitions of a duel between three players, each of whom has a known firing accuracy.
urn_simulation a MATLAB code which simulates an experiment in which k colored marbles are drawn from an urn containing a total of n marbles. The quantity of interest is the number of marbles of each color.