Electronic Journal of Probability

Monotonicity properties of exclusion sensitivity

Malin Palö Forsström

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In [3], exclusion sensitivity and exclusion stability for symmetric exclusion processes on graphs were defined as natural analogues of noise sensitivity and noise stability in this setting. As these concepts were defined for any sequence of connected graphs, it is natural to study the monotonicity properties of these definitions, and in particular, if some graphs are in some sense more stable or sensitive than others. The main purpose of this paper is to answer one such question which was stated explicitly in [3]. In addition, we get results about the eigenvectors and eigenvalues of symmetric exclusion processes on complete graphs.

Article information

Electron. J. Probab. Volume 21, Number (2016), paper no. 45, 22 pp.

Received: 5 February 2015
Accepted: 11 July 2016
First available in Project Euclid: 26 July 2016

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Zentralblatt MATH identifier

Primary: 60J27: Continuous-time Markov processes on discrete state spaces 05C81: Random walks on graphs

exclusion sensitivity noise sensitivity exclusion process

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Palö Forsström, Malin. Monotonicity properties of exclusion sensitivity. Electron. J. Probab. 21 (2016), paper no. 45, 22 pp. doi:10.1214/16-EJP4092. https://projecteuclid.org/euclid.ejp/1469557138

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