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[numerics] add intro

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Gaspard Jankowiak 2024-04-24 12:02:57 +02:00
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en/numerics/FJMT.2024/index.md
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@ -20,6 +20,14 @@ p { margin-top: 1em; }
.form input { margin-right: 1em; margin-left: 1em; } .form input { margin-right: 1em; margin-left: 1em; }
</style> </style>
This page shows the differences in the dynamics between the microscopic and the kinetic (meanfield) model for Lancichinetti-Fortunato-Radicchi (LFR) type graphs,
depending on two parameters:
- $\sigma^2$, which is the variance of the $\beta$ distributions making up the initial distribution $f$,
- $\mu$, the so-called mixing parameter for the construction of the LFR graphs.
![f vs sigma](https://gaspard.janko.fr/s/numerics/FJMT.2024/plots_23_04_2024/f_init_vs_sigma.png){:width="750"}
<h2>$β$ distribution with $σ² = {{sigma}}$</h2> <h2>$β$ distribution with $σ² = {{sigma}}$</h2>
<h3 id="LFR301_var=0.001_movies">Movies (ensemble averages)</h3> <h3 id="LFR301_var=0.001_movies">Movies (ensemble averages)</h3>