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math.DS2024★ 1 cited
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 constitutes…
math.DS2024
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…