Abstract
New lower bound inequalities are obtained for generalized upcrossings of ergodic averages. The results and techniques are compared with those of E. Bishop on upper bounds. Moreover, a connection between these results and spatial oscillations is established.
Citation
P. J. Catuogno. S. E. Ferrando. A. L. Gonzalez. "Lower bounds for generalized upcrossings of ergodic averages." Illinois J. Math. 47 (3) 633 - 648, Fall 2003. https://doi.org/10.1215/ijm/1258138185
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