# Noon lecture

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On 31.03.2011 at 12:20 in S1, there is the following noon lecture:

# Counting paths in the honeycomb lattice

## Martin Klazar

## Abstract

I will report on the recent remarkable theorem of Duminil-Copin and Smirnov (http://arxiv.org/abs/1007.0575) that the number of paths with length n and start at the origin in the honeycomb lattice (the 3-regular plane graph with hexagonal faces) has asymptotics c^{n+o(n)} where c=2cos(pi/8)=sqrt{2+sqrt{2}}=1.84775... .

list of noon lectures ( 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | future lectures)

Webmaster: kamweb.mff.cuni.cz Modified: 19. 10. 2010