Denseness of volatile and nonvolatile sequences of functions
Artikel i vetenskaplig tidskrift, 2018

In a recent paper by Jonasson and Steif, definitions to describe the volatility of sequences of Boolean functions, fn:{−1,1}n→{−1,1} were introduced. We continue their study of how these definitions relate to noise stability and noise sensitivity. Our main results are that the set of volatile sequences of Boolean functions is a natural way “dense” in the set of all sequences of Boolean functions, and that the set of non-volatile Boolean sequences is not “dense” in the set of noise stable sequences of Boolean functions.

Volatility

Boolean functions

Noise stability

Noise sensitivity

Författare

Malin Palö Forsström

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Stochastic Processes and their Applications

0304-4149 (ISSN)

Vol. 128 11 3880-3896

Ämneskategorier

Bioinformatik (beräkningsbiologi)

Bioinformatik och systembiologi

Matematisk analys

DOI

10.1016/j.spa.2018.01.001

Mer information

Senast uppdaterat

2018-11-15