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- W1795536700 abstract "We study the invariant measures and fluctuation limits of discrete-time harness processes in one spatial dimension. We construct one essential ergodic (under spatial shifts) invariant measure of the increment process derived from harness process, and all other ergodic invariant measures can be obtained by adding constants. We also show that the weak limit of the one dimensional height fluctuations starting from the increments under several translation-invariant ergodic measures will obey Edwards-Wilkinson equation, and the finite-dimensional marginal convergence can be extended to a process level convergence." @default.
- W1795536700 created "2016-06-24" @default.
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- W1795536700 date "2015-06-06" @default.
- W1795536700 modified "2023-10-16" @default.
- W1795536700 title "Discrete Time Harness Processes" @default.
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