67 citations · 73 across the 4 of their papers we have counts for
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math.PR2004
Null flows, positive flows and the structure of stationary symmetric stable processes
Gennady Samorodnitsky
This paper elucidates the connection between stationary symmetric alpha-stable processes with 0<alpha<2 and nonsingular flows on measure spaces by describing a new and unique decom…
math.PR2004★ 67 cited
Extreme value theory, ergodic theory and the boundary between short memory and long memory for stationary stable processes
Gennady Samorodnitsky
We study the partial maxima of stationary α-stable processes. We relate their asymptotic behavior to the ergodic theoretical properties of the flow. We observe a sharp change in th…