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How I can plot the following stochastic process using mathmatica

Stochastic process

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  • $\begingroup$ Just showing us a picture of the plot is not enough information to answer your question. Show us the code that generates the process. $\endgroup$ – m_goldberg Jul 27 at 16:16
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First generate a collection of random processes (e.g., 100 Wiener Processes):

process = RandomFunction[
  WienerProcess[.3, .5],
  {0, 1, 0.01},
  100 (*creates an ensemble of 100 processes*)]

Directly plotting these overlaps them (which is not what you want):```

ListLinePlot[process]

ListLinePlot output

To get them separated, you need to do a bit of preprocessing. I turn these into normal lists and prepend an index value to each element in the list, before sending it to ListPointPlot3D:

ListPointPlot3D[
 Table[
  Prepend[i] /@ process["Paths"][[i]],
  {i, 100}]
 ]

ListPointPlot3D output

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