https://github.com/abolfazl-younesi/levy-walk
This repository contains a Python implementation of the Lévy Walk simulation, a random walk model with a power-law step length distribution. The code simulates multiple walkers with boundary conditions and visualizes their trajectories for different values of the power-law exponent.
https://github.com/abolfazl-younesi/levy-walk
levy-walks matplotlib numpy python random-walk
Last synced: 3 months ago
JSON representation
This repository contains a Python implementation of the Lévy Walk simulation, a random walk model with a power-law step length distribution. The code simulates multiple walkers with boundary conditions and visualizes their trajectories for different values of the power-law exponent.
- Host: GitHub
- URL: https://github.com/abolfazl-younesi/levy-walk
- Owner: Abolfazl-Younesi
- Created: 2024-04-20T10:09:16.000Z (about 1 year ago)
- Default Branch: main
- Last Pushed: 2024-04-20T10:16:38.000Z (about 1 year ago)
- Last Synced: 2024-09-09T14:19:51.758Z (9 months ago)
- Topics: levy-walks, matplotlib, numpy, python, random-walk
- Language: Python
- Homepage:
- Size: 487 KB
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
Awesome Lists containing this project
README
This repository contains a Python implementation of the Lévy Walk simulation, a random walk model with a power-law step length distribution. The code simulates multiple walkers with boundary conditions and visualizes their trajectories for different values of the power-law exponent.
# Lévy Walk Simulation
This repository provides a Python implementation of the Lévy Walk simulation, a random walk model where the step lengths are drawn from a power-law distribution. The code simulates multiple walkers with boundary conditions and visualizes their trajectories for different values of the power-law exponent.
## Features
- Simulate Lévy Walk for multiple walkers with boundary conditions
- Generate step lengths from a power-law distribution
- Plot the trajectories of walkers for different power-law exponents
## Requirements
- Python 3.x
- NumPy
- Matplotlib
## Usage
1. Clone the repository:
```bash
git clone https://github.com/your-username/levy-walk-simulation.git
```
2. Navigate to the project directory:
```bash
cd levy-walk-simulation
```
3. Run the simulation script:
```bash
python levy_walk.py
```
This will generate a figure titled `LW.png` containing 12 subplots, each showing the trajectories of 3 walkers for a different power-law exponent ranging from 0.5 to 2.5.
## Code Overview
The repository contains the following Python file:
- `levy_walk.py`: This file contains two main functions:
- `levy_walk(n_walkers, n_steps, alpha, x_range, y_range)`: Simulates the Lévy Walk for multiple walkers with boundary conditions.
- `plot_trajectories(trajectories, alpha, ax)`: Plots the trajectories of multiple walkers on a given Matplotlib axes.
## Contributing
Contributions are welcome! If you find any issues or have suggestions for improvements, please open an issue or submit a pull request.
This repository contains a Python script that simulates the Lévy Walk for multiple walkers with boundary conditions. The script generates and plots the trajectories of the walkers for different values of the power-law exponent. Feel free to customize the content of the README file according to your specific requirements.