Random ergodic averages along Bernoulli sparse subsequences converge almost surely to the ergodic projection in non-commutative L^p spaces for 1 < p < ∞.
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Pointwise Convergence for Random Ergodic Averages in Non-commutative $L^p$-spaces
Random ergodic averages along Bernoulli sparse subsequences converge almost surely to the ergodic projection in non-commutative L^p spaces for 1 < p < ∞.