A new proof of Friedman’s second eigenvalue Theorem and its extensions
- 👤 Speaker: Charles Bordenave (Toulouse) 🔗 Website
- 📅 Date & Time: Tuesday 03 May 2016, 16:30 - 17:30
- 📍 Venue: MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
Abstract
It was conjectured by Alon and proved by Friedman that a random d-regular graph has nearly the largest possible spectral gap, more precisely, the largest absolute value of the non-trivial eigenvalues of its adjacency matrix is at most 2 √ ( d − 1) + o(1) with probability tending to one as the size of the graph tends to infinity. We will discuss a new method to prove this statement and give some extensions to random lifts and related models.
Series This talk is part of the Probability series.
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Tuesday 03 May 2016, 16:30-17:30