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Project Archive

Project Archive

Everything the team produced, in its original form: the final reports, each member's source document, and the companion mobile app.

Final Reports

Markov Chains: Theory and Applications (Final Report)

Whole team · 347 KB

References & AI Usage Disclosure

Whole team · 300 KB

Interactive HTML Report

Whole team · 48 KB

Member Source Documents

Markov Chains: Introduction & Theory

Youssef Hussein & Ayman Loay · 19 KB

App Navigation Theory (Slides)

Aya Yasser · 101 KB

PageRank & Probability Applications

Mohamed Ahmed · 13 KB

AI Applications: Markov Decision Processes

Ahmed Mahmoud · 5.9 MB

PageRank Theory, Worked by Hand

Mariam Ahmed's handwritten derivation of the PageRank transition matrix and damping factor, the starting point for the code on the Source Code page.

Handwritten PageRank theory derivation by Mariam Ahmed

Companion Mobile App

The App Navigation simulation also exists as a native mobile app (React Native / Expo) built by Basmala Refaat and Ahmed Hossam: a phone UI whose screens transition following the real Markov chain, with live visit counts and the stationary distribution.

It ships in this project's repository under apps/mobile. To run it on your phone with the Expo Go app:

pnpm install
pnpm mobile     # starts the Expo dev server
# then scan the QR code with Expo Go (Android / iOS)

Prefer the browser? The same simulation runs on the Navigation Live page.