Stochastic Processes Toy Models

• Polya's Urn - N simulations

  Extract a series of balls of one or other colour from Polya's Urn, N simulations, and visualise the graph of proportion of ball colour, and histogram of final proportion.

• Polya's Urn on Graphs

  Sample vertices on a graph and perform Polya's Urn sampling on edges connected to chosen vertex.

• Asymmetric Exclusion on a Circle

  Populate a circle with particles, which can walk randomly to the left or right according to a given probability, and visualise a measure of their average walk speed.

• Voter Model

  Populate a hexagonal tile-map with voter colours. The update chooses a random tile and has it change the colour of a random neighbour. We then watch the colours evolve with time.

• Graph Builder

  Utility for building and exporting graphs.

• Stochastic Reveal

  Stochastically reveal image, one pixel at a time.