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For questions about distributions built-in in Mathematica, and functions that operate on them. Also includes questions about defining your own distributions.

2 votes
Accepted

Polynomial fitting to obtain the growth rate

First, plot your data ($n$ vs $t$) on a log scale: ListLogPlot[data] As Roman suggests, a linear fit on log scale is the growth rate you're interested in. It doesn't look like there's any lag phase …
Chris K's user avatar
  • 20.4k
3 votes

Arrays, Mapping, and Convolutions

Something like this? pts = {mc, mR1, mR2, mR3, mL1, mL2, mL3, mU, mD}; ThreeDnd[x_, y_, pt_, σ1_, σ2_] := PDF[BinormalDistribution[pt, {σ1, σ2}, 1/2], {x, y}]; Plot3D[ Evaluate[Sum[ThreeDnd[x, y …
Chris K's user avatar
  • 20.4k
7 votes

Sisyphus Random Walk

Another approach would be to formulate this as a DiscreteMarkovProcess. Since DiscreteMarkovProcess only allows a finite state space, we need to truncate at some large distance xmax. Also note that …
Chris K's user avatar
  • 20.4k