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On the simulation of continuous in scale universal multifractals,Part II: Space–time processes and finite size corrections
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In PartIweconsideredcontinuousinscalecascadeprocesseswhichwerespatiallycontinuous;these are neededformodelingmanygeofields.Inthissecondpartweconsidertheeffectsofspatial discretization;thisallowsustomakenumericalsimulations.Weshowhowtocorrectthesimulations for theleadingfinitesizeeffects,forbothspaceand(causal)space–timeprocesses.Theresulting processeshavesignificantlyimprovedsmallscalestatisticalproperties;inpracticeitcanleadtogreat savingsincomputertimeandmemoryusage.Inanappendixwegivea Mathematica code forthe correspondingspace–timesimulations.
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