2 papers
math.CO2013
Random Walks on Simplicial Complexes and Harmonics
Sayan Mukherjee, John Steenbergen
In this paper, we introduce random walks with absorbing states on simplicial complexes. Given a simplicial complex of dimension , a random walk with an absorbing state is define…
math.CO2012
A Cheeger-Type Inequality on Simplicial Complexes
John Steenbergen, Caroline Klivans, Sayan Mukherjee
In this paper, we consider a variation on Cheeger numbers related to the coboundary expanders recently defined by Dotterer and Kahle. A Cheeger-type inequality is proved, which is…