Families of Self-Similar Symmetric Laplacians on the Interval and Sierpinski Gasket
Zeros of Eigenfunctions on the Interval
The ith column of each csv file is the ith eigenfunction for that set of parameters. The nonzero entries in each column are the x coordinates of the zeros of that eigenfunction. The csv files for the x coordinates and y coordinates are organized in the same way.
Location of Zeros
p m=1 m=2 m=3 m=4
0.1 csv csv csv csv
0.2 csv csv csv csv
0.3 csv csv csv csv
0.4 csv csv csv csv
0.49 csv csv csv csv
0.5 csv csv csv csv
0.51 csv csv csv csv
0.6 csv csv csv csv
0.7 csv csv csv csv
0.8 csv csv csv csv
0.9 csv csv csv csv
X coordinates for local extrema
p m=1 m=2 m=3 m=4
0.1 csv csv csv csv
0.2 csv csv csv csv
0.3 csv csv csv csv
0.4 csv csv csv csv
0.49 csv csv csv csv
0.5 csv csv csv csv
0.51 csv csv csv csv
0.6 csv csv csv csv
0.7 csv csv csv csv
0.8 csv csv csv csv
0.9 csv csv csv csv
Y coordinates for local extrema
p m=1 m=2 m=3 m=4
0.1 csv csv csv csv
0.2 csv csv csv csv
0.3 csv csv csv csv
0.4 csv csv csv csv
0.49 csv csv csv csv
0.5 csv csv csv csv
0.51 csv csv csv csv
0.6 csv csv csv csv
0.7 csv csv csv csv
0.8 csv csv csv csv
0.9 csv csv csv csv