Visualize and Model Lévy Flight via Python

[@TuemmlerTanne11]

x_steps and y_steps shouldnt be independently sampled. the length and angle should be sampled and then x_step and y_step can be calculated. Thats why the levy flight doesn't travel large distances diagonally in your example

[@user-ju5en4rv9h]

thank you that was useful ,,, but could you share the code file

[@IngridGamedev]

import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
long_tail_steps = np.random.pareto(a=2, size=100)
sns.histplot(long_tail_steps, kde=True)
# number of steps
n = 300
# generate steps
x_steps = np.random.pareto(a = 2, size = n)
y_steps = np.random.pareto(a = 2, size = n)
# generate the angle
angles = 2 * np.pi * np.random.rand(n)
# define the steps and angle for each dimention
dx = x_steps * np.cos(angles)
dy = y_steps * np.sin(angles)
# turn steps to trajectory
x = np.cumsum(dx)
y = np.cumsum(dy)
# visualize the levy flight
plt.plot(x, y, marker= 'o', markersize=4)
plt.grid(True)
plt.show()