freealg.distributions.MarchenkoPastur.plot_branches#

MarchenkoPastur.plot_branches(x=None, y=None, latex=False, save=False, **kwargs)#

Plot branches of the spectral curve of Stieltjes transform.

Parameters:

xnumpy.array, default=None: The x axis of the grid where the Stieltjes transform is evaluated. If None, an interval slightly larger than the support interval of the spectral density is used.
ynumpy.array, default=None: The y axis of the grid where the Stieltjes transform is evaluated. If None, a grid on the interval [-1, 1] is used.
latexbool, default=False: If True, the plot is rendered using LaTeX. This option is relevant only if plot=True.
savebool, default=False: If not False, the plot is saved. If a string is given, it is assumed to the save filename (with the file extension). This option is relevant only if plot=True.
**kwargsdict: Parameters to pass to freealg.visualization.domain_coloring().

See also

stieltjes

Examples

>>> import numpy
>>> from freealg.distributions import FreeLevy

>>> # Create an object of the class
>>> fl = FreeLevy(t=[2.0, 5.5], w=[0.75, 1-0.75], lam=0.1, a=0,
...               sigma=0.9)

>>> # Plot on a grid
>>> x = numpy.linspace(0, 4)
>>> y = numpy.linspace(-1, 1)
>>> fl.plot_branches(x, y)