Companion to "Pfaffian Point Processes for Two Classes of Random Plane Partitions"

Random Plane Partitions

Alec Todd
Department of Mathematics, University of California, Davis
[email protected]

This CoCalc repository is a companion to the paper "Pfaffian Point Processes for Two Classes of Random Plane Partitions." It contains the following items:

Folders:

• spp_data/: contains matrix data for the SPP point process $\mathscr Y_{n,n}$ fitting in $B(n,n,n)$

• tsscpp_data/: contains matrix data for the TSSCPP point process $\mathscr X_n$ of order $n$

Sage Libraries:

• mat_to_list.sage: A basic but useful function for converting a Matrix object into a list object

• tsscpp_interpolation.sage:

• tsscpp_probabilities.sage:

• tsscpp_tools.sage: Tools for manipulating TSSCPP's, including a function that plots the nest of NILP's for a given TSSCPP

Sage Worksheets

• demo_tsscpp_interpolation.sagews

• demo_tsscpp_probabilities.sagews

• demo_tsscpp_tools.sage

• spp_matrices.sagews: Code used for generating the data found in spp_data/

• tsscpp_matrices.sagews: Code used for generating the data found in tsscpp_data/

I recommend that readers begin by viewing the Sage worksheets listed above, in particular the demo files, which should give a sense of the computational tools used in my paper. Readers are invited to experiment with the matrix data I have provided using the tools in the .sage files included in this repository.