An account of known upper and lower bounds for standard diagonal Markov transition functions and standard $p$-functions taking on a given value at time $t$ is presented, and some new results are derived.
@article{1176996935,
author = {Griffeath, David},
title = {The Maximal Oscillation Problem for Regenerative Phenomena},
journal = {Ann. Probab.},
volume = {1},
number = {5},
year = {1973},
pages = { 405-416},
language = {en},
url = {http://dml.mathdoc.fr/item/1176996935}
}
Griffeath, David. The Maximal Oscillation Problem for Regenerative Phenomena. Ann. Probab., Tome 1 (1973) no. 5, pp. 405-416. http://gdmltest.u-ga.fr/item/1176996935/