Exponential tails in the finite-time renewal count probability Q_t(n) for CTRW induce Laplace tails in the positional PDF P(x,t).
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From Continuous-Time Random Walks to Laplace Tails
Exponential tails in the finite-time renewal count probability Q_t(n) for CTRW induce Laplace tails in the positional PDF P(x,t).