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Mobius orthogonality and Sarnak's conjecture
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Classroom Contents
Mariusz Lemanczyk: Furstenberg Disjointness, Ratner Properties and Sarnak’s Conjecture
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- 1 Intro
- 2 Mobius orthogonality and Sarnak's conjecture
- 3 Multiplicative functions
- 4 General motivations: mean of p, Prime Number Theorem (PNT). Riemann Hypothesis (RH) Thecrem Landau The following conditions are equivalent
- 5 What makes it a difficult problem?
- 6 Chawla conjecture on autocorrelations Chowla conjecture
- 7 Multiplicative weights (MW-) strategy
- 8 Ergodic weights (EW-) strategy
- 9 MW-strategy: discussion on "controversies"
- 10 MW-strategy, basics 2
- 11 Sarnak's conjecture - selected examples
- 12 Topological dynamics. Visible measures and (quasi-)generic points
- 13 Chowla conjecture and Furstenberg systems
- 14 log S holds for deterministic uniquely ergodic systems
- 15 Reductions in the logarithmic Sarnak conjecture case
- 16 Further reductions for the logarithmic Sarnak conjecture
- 17 Veech's conjecture.III
