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math.DS2025
Absolute and Unconditional Convergence of Series of Ergodic Averages and Lebesgue Derivatives
Bryan Johnson, Joseph Rosenblatt
We consider when there is absolute or unconditional convergence of series of various types of stochastic processes. These processes include differences of averages in ergodic theor…
math.DS2025
Fluctuation of ergodic averages and other stochastic processes
Sovanlal Mondal, Joe Rosenblatt, Máté Wierdl
For an ergodic map and a non-constant, real-valued , the ergodic averages converge a.e., but the convergence…
math.DS2024
Pointwise Convergence of Sequences of Singular Measures
Andrew Parrish, Joseph Rosenblatt
We investigate the almost everywhere convergence of sequences of convolution operators given by probability measures on . If this sequence of operators constitute…