2020-08-25 meeting overview - Githubissues

MichalisPanayides / PhD-meetings

This is a repository to keep track of the weekly meetings for the purposes of my PhD

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2020-08-25 meeting overview #32

Open MichalisPanayides opened 3 years ago

MichalisPanayides commented 3 years ago

What has been done: (Summary of everything)

Closed form formula for state probabilities of Markov chains:
- Symbolically find expressions for all states in the Markov Chain
- Looked into recursive expression between states
- Markov Chain Tree theorem
- Matrix Tree Theorem (Kirchhoff's theorem)
- Enumerate all subtrees of various examples
- Equate λ^Α = λ^ο
Built python code to generate tikz picture
- Modularised
- Tested
- Documented
Played around with Windows Subsystem for Linux

To be done:

Establish connection/pattern between coefficients
Find general case of P_(0,0) (for C=1, T=1)
Generalise for C (may prove to be tricky)
Generalise for T (fairly straightforward)