Ergodic theory reading course 2014-2015
Organisers: Corinna Ulcigrai and Thomas Jordan
Meetings take place at 2pm on Tuesdays in the fourth floor seminar room in Howard house in the Autumn and at 10:30 on Fridays in the Spring.
We will be using the following sources:
Material Covered
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Tuesday 15th October: Ergodicity and mixing, Jory Griffin (based on Sarig).
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Tuesday 22nd October: Basic constructions in ergodic theory, Jason Dungca (based on Sarig).
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Tuesday 29th October: The mean and pointwise ergodic theorems, Chris Chang (based on Sarig).
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Tuesday 4th November: Ergodic decomposition, Jory Griffin (based on Sarig).
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Tuesday 11th November: Subadditive ergodic theorem, Luka Rimanic (based on Sarig).
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Tuesday 18th November: Multiplicative ergodic theorem part 1, Jason Dungca (based on Sarig).
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Tuesday 25th November: Multiplicative ergodic theorem part 2, Davide Ravotti (based on Sarig).
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Tuesday 2nd December: Spectral theory and weak mixing, Anton Solomko (based on Sarig).
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Thursday 11th December: Geodesic and horocycle flows, Davide Ravotti (based on Einsiedler and Ward).
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Tuesday 16th December: Z^d ergodic theorem, Chris Chang (based on Sarig).
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Friday 23rd January: Ergodicity for the geodesic and horocycle flows, Davide Ravotti (based on Einsiedler and Ward).
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Friday 30th January: Joinings, Anon Solomko (based on Lemańczyk, Choe and Nasu).
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Friday 6th February: The space of invariant measures, Chris Chang (based on Walters and Einsiedler and Ward).
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Friday 13th February: Entropy for invariant measures, Jason Dungca (based on Walters).
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Friday 20th February: Topological entropy, Jason Dungca (based on Walters).
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Friday 27th February: Roth's Theorem on arithmetic progressions via ergodic theory part 1, Luka Rimanic (based on Green).
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Friday 6th March: Roth's Thoerem on arithmetic progressions via ergodic theory part 2, Luka Rimanic (based on Green).
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Friday 13th March: Misurewicz's proof of the variational principle, Jason Dungca (based on Walters).
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Friday 20th March: Rudolph's Theorem, Anton Solomko (based on Disquisitiones Mathematicae, entry on 19/02/2009).