MONTE_CARLO_SIMULATION.TEX
Monte Carlo Simulation

MONTE_CARLO_SIMULATION.TEX is the LaTeX source for a classroom presentation on simulation via the Monte Carlo Method, given 09-11-13 November 2009.

A PDF version is available as ../../presentations/monte_carlo_simulation.pdf.

The following files constitute the LaTeX file:

• avoid_2d_length_056.png, a PNG image of a self-avoiding walk of length 56.
• avoid_2d_length_100.png, a PNG image of a self-avoiding walk of length 100.
• brownian_motion.png, a PNG image of Brownian motion.
• count_100_100.png, a PNG image of length versus number of walks found.
• diffusion_001.png, a PNG image of step 1 of the diffusion of 600 particles.
• diffusion_010.png, a PNG image of step 10 of the diffusion of 600 particles.
• diffusion_020.png, a PNG image of step 20 of the diffusion of 600 particles.
• diffusion_040.png, a PNG image of step 40 of the diffusion of 600 particles.
• diffusion_080.png, a PNG image of step 80 of the diffusion of 600 particles.
• diffusion_160.png, a PNG image of step 160 of the diffusion of 600 particles.
• einstein.png, a PNG image of Albert Einstein.
• fit_100_100.png, a PNG image of a fit to the count_100_100 data.
• flips_10_10.png, a PNG image of the number of changes in the lead for a (10,10) gambler's ruin simulation.
• flips_1_100.png, a PNG image of the number of changes in the lead for a (1,100) gambler's ruin simulation.
• flips_30_70.png, a PNG image of the number of changes in the lead for a (30,70) gambler's ruin simulation.
• flips_3_7.png, a PNG image of the number of changes in the lead for a (3,7) gambler's ruin simulation.
• flips_70_70_hist.png, a PNG image of the record of changes in the lead for a (70,70) gambler's ruin simulation.
• gambler_3_7_plot.png, a PNG image of the number of changes in the lead for a (10,10) gambler's ruin simulation.
• good_bad_ugly.png, a PNG image of the three way duel in "The Good, the Bad, and the Ugly".
• knot_3d.png, a PNG image of a 3D knot.
• length_10_10.png, a PNG image of the number of steps for a (10,10) gambler's ruin simulation.
• length_1_100.png, a PNG image of the number of steps for a (1,100) gambler's ruin simulation.
• monte_carlo_simulation.tex, the main LaTeX file.
• pachinko.png, a PNG image of a sample run of the Pachinko game.
• prototeins_random.png, a PNG image of a random "prototein", a simplified model of a protein.
• prototeins_stable.png, a PNG image of a stable "prototein", a simplified model of a protein.
• random_walkers.png, a PNG image of a graph of the distance attained by 100 random walkers taking 120 steps.
• robert_brown.png, a PNG image of Robert Brown.
• sir_day01.png, a PNG image of one step in an SIR disease epidemic simulation.
• sir_day02.png, a PNG image of one step in an SIR disease epidemic simulation.
• sir_day03.png, a PNG image of one step in an SIR disease epidemic simulation.
• sir_day04.png, a PNG image of one step in an SIR disease epidemic simulation.
• sir_day05.png, a PNG image of one step in an SIR disease epidemic simulation.
• sir_day06.png, a PNG image of one step in an SIR disease epidemic simulation.
• sir_day10.png, a PNG image of one step in an SIR disease epidemic simulation.
• sir_day13.png, a PNG image of one step in an SIR disease epidemic simulation.
• sir_day15.png, a PNG image of one step in an SIR disease epidemic simulation.
• sir_day20.png, a PNG image of one step in an SIR disease epidemic simulation.
• sir_day25.png, a PNG image of one step in an SIR disease epidemic simulation.
• sir_day30.png, a PNG image of one step in an SIR disease epidemic simulation.
• sir_line7.png, a PNG image of the percentages of S, I and R populations over time in the SIR disease epidemic simulation.
• traffic.png, a PNG image of traffic.
• traffic_jam.png, a PNG image of traffic deadlock.
• traffic_plot_320.png, a PNG image of a traffic simulation after 320 steps.
• traffic_plot_40.png, a PNG image of a traffic simulation after 40 steps.
• von_neumann.png, a PNG image of John von Neumann.
• vt_logo.pdf, a PDF file of a logo.
• walk_100_steps_500.png, a PNG image of the average and maximum distances achieved by 100 random walks of length 500.
• walk_1_steps_2000_plot.png, a PNG image of a random walks of length 2000.
• walk_1_steps_500.png, a PNG image of a random walks of length 500.
• walk_1_steps_500_plot.png, a PNG image of a random walks of length 500.
• walk_5_steps_500_plot.png, a PNG image of a random walks of length 500.
• walks_1_steps_10000_plot.png, a PNG image of a random walks of length 10000.
• walks_1_steps_1000_plot.png, a PNG image of a random walks of length 1000.
• walks_1_steps_100_plot.png, a PNG image of a random walks of length 100.
• walks_1_steps_10_plot.png, a PNG image of a random walks of length 10.
• wrapfig.sty, a LATEX style file that let me wrap text around a graphic.

You can go up one level to the LATEX home page.