论文信息 - 2D Self-Similar Processes with Stationary Fractional Increments

2D Self-Similar Processes with Stationary Fractional Increments

Thiswork is concernedwithnon-stationary 2D fields havingstation aryincrements.Theclassicalfractional Brownianmotionmodelislimitedinsome applications,sinceitisisotropicanddependsonasingleparameter(theHurstcoef ficient H).Weintroducehereinnewmodelsforpossiblyanisotropictextures,based onfractionalordersofdifferencingintwoorthogonaldirectionsofspace. Someof thepropertiesoffieldswithfractionalstationaryincrementsarealsodiscussed.We then focus onself-similar processes withstationary incrementsoforderoneand stresstheroleofthestructurefunctioninthestudyoftheseprocesses.

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