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What is this section about?
The Markov Chain model and process uses three important kinds of modern mathematics: probability, matrices, and time-stepping.

The Monte Carlo method is a computer simulation method using random numbers and statistical probabilities to explore systems that are too complicated to solve through analytical means.

Prerequisites:

  • Knowledge of probability theory up to conditional probability,
  • Knowledge of basic statistics,
  • Understanding of random walk,
  • Awareness of need for good random number generators Knowledge of matrices used as transformations.

Objectives:

  • Describe the basic concepts of the method,
  • Confirm the validity of the method through application to well-known situations such as finding the value of pi,
  • Name some of the wide range of fields the method can be applied to in order to see (numerically) how to describe the situation.

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Intro to Modeling
Intro to Statistics
Random Numbers
Random Walk
Markov Chains
Monte Carlo
Diffusion
Ising Model
Cell Potts Model
Parallel Computing
Myxobacteria
Microtubules
   
 

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Last modified: July 08, 2007 02:57 PM