:orphan:

Tutorial
========

Step by step guide on how to use the package.


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    <div class="sphx-glr-thumbcontainer" tooltip="In this section, we will briefly explain what is Random Matrix Theory (RMT), and we will introduce scikit-rmt, a library that provides RMT tools to mathematicians, engineers, physicists, economists or any interested scientist in the Python scientific ecosystem.">

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  .. image:: /auto_tutorial/images/thumb/sphx_glr_plot_0_introduction_thumb.png
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  :doc:`/auto_tutorial/plot_0_introduction`

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      <div class="sphx-glr-thumbnail-title">Introduction</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="In this tutorial, we highlight the fact that eigenvalues of a random matrix sample are not independent. However, random numbers sampled using the PDF of a spectral law (e.g. Wigner&#x27;s Semicircle law) are actually drawn independently.">

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  .. image:: /auto_tutorial/images/thumb/sphx_glr_plot_3_eigenvalue_independence_thumb.png
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  :doc:`/auto_tutorial/plot_3_eigenvalue_independence`

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      <div class="sphx-glr-thumbnail-title">Eigenvalue independence</div>
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    <div class="sphx-glr-thumbcontainer" tooltip="In this section, we will briefly explain what is the spectral distribution of a random matrix and how to plot it in order to study its properties. Most ensembles spectral distribution are explained through spectral laws, that are going to be detailed as well. ">

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  .. image:: /auto_tutorial/images/thumb/sphx_glr_plot_2_plot_spectral_laws_thumb.png
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  :doc:`/auto_tutorial/plot_2_plot_spectral_laws`

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      <div class="sphx-glr-thumbnail-title">Plotting spectral laws</div>
    </div>


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    <div class="sphx-glr-thumbcontainer" tooltip="In this section we describe the tools provided by scikit-rmt to study, analyze and compute the distribution of the spectral laws of some common random matrix ensembles.">

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  .. image:: /auto_tutorial/images/thumb/sphx_glr_plot_1_spectral_laws_thumb.png
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  :doc:`/auto_tutorial/plot_1_spectral_laws`

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      <div class="sphx-glr-thumbnail-title">Random matrix spectrum distribution</div>
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    </div>


.. toctree::
   :hidden:

   /auto_tutorial/plot_0_introduction
   /auto_tutorial/plot_3_eigenvalue_independence
   /auto_tutorial/plot_2_plot_spectral_laws
   /auto_tutorial/plot_1_spectral_laws


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    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download all examples in Python source code: auto_tutorial_python.zip </auto_tutorial/auto_tutorial_python.zip>`

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download all examples in Jupyter notebooks: auto_tutorial_jupyter.zip </auto_tutorial/auto_tutorial_jupyter.zip>`


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 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_