Abstract
This chapter contains the well known FKG inequality and a formula of Russo’s for the derivative of Pp{E} with respect to p for an increasing event E. No periodicity assumptions are necessary in this chapter, so that we shall take as our probability space the triple (Ωl, Bl, Pl) as defined in Sect. 3.1. E1 will denote expectation with respect to Pl.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer Science+Business Media New York
About this chapter
Cite this chapter
Kesten, H. (1982). Increasing Events. In: Percolation Theory for Mathematicians. Progress in Probability and Statistics, vol 2. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-2730-9_4
Download citation
DOI: https://doi.org/10.1007/978-1-4899-2730-9_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3107-9
Online ISBN: 978-1-4899-2730-9
eBook Packages: Springer Book Archive