Chance and Chaos - How to Predict the Unpredictable by Jens Marklof
Offered By: International Centre for Theoretical Sciences via YouTube
Course Description
Overview
Syllabus
WHEN: 4:00 pm to pm Sunday, 11 December 2022
Start
Introduction
Speaker Introduction
Chance and chaos: how to predict the unpredictable
KAAPI WITH KURIOSITY
The butterfly effect
Climate modelling and extreme weather prediction
The deterministic universe, chance and chaos
Unpredictability
Example: The fair coin toss
The perfect coin tosser
Let's do an experiment with dice!"
Kneading dough: a simple model for generating randomness
Step 1: Place test raisins in the dough.
Step 4: Continue repeating Steps 2 and 3.
Exponential sensitivity, and the amplification of randomness
A mathematical theorem
The grand challenge
Helpful chaos: Boltzmann's statistical mechanics
The Boltzmann gas:
The Lorentz gas
The Lorentz gas and Brownian motion
A typical Brownian path in three dimensional space.
Visibility in a forest
The Lorentz gas in a crystal
The distribution of free path lengths
Underpinning mathematics: ergodic theory and dynamical systems
Conclusions
Recommendations for further reading
Thank you
Q&A
Taught by
International Centre for Theoretical Sciences
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