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Title: QDEE: Question Difficulty and Expertise Estimation in Community Question Answering Sites
Award ID(s):
1645599
PAR ID:
10064837
Author(s) / Creator(s):
; ; ;
Date Published:
Journal Name:
Twelfth International AAAI Conference on Web and Social Media (ICWSM)
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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    We answer in the affirmative a question of Sarnak’s from 2007, confirming that the Patterson–Sullivan base eigenfunction is the unique square-integrable eigenfunction of the hyperbolic Laplacian invariant under the group of symmetries of the Apollonian packing. Thus the latter has a maximal spectral gap. We prove further restrictions on the spectrum of the Laplacian on a wide class of manifolds coming from Kleinian sphere packings. 
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