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| -rw-r--r-- | notes/formalisation.tex | 4 |
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diff --git a/notes/formalisation.tex b/notes/formalisation.tex index a0f7d23..54f7efd 100644 --- a/notes/formalisation.tex +++ b/notes/formalisation.tex @@ -97,7 +97,9 @@ For small $\delta_T$, the above equation defines a `loose' orthonormality proper \section{Warm up: the voter model} -In the voter model, there are two types of nodes, {\it red} and {\it blue}. At every turn, each node $u$ chooses one of its neighbors uniformly (with probability $\frac{1}{deg(u)}$) and adopts the color of that neighbor. In most cases, we consider that the graphs includes self-loops, meaning the node has the option to keep his color for the next round. We fix a horizon $T$, and a set of {\it blue} nodes, and we observe the evolution of set of $red$ nodes. +In the voter model, there are two types of nodes, {\it red} and {\it blue}. At every turn, each node $u$ chooses one of its neighbors uniformly (with probability $\frac{1}{deg(u)}$) and adopts the color of that neighbor. In most cases, we consider that the graphs includes self-loops, meaning the node has the option to keep his color for the next round. We fix a horizon $T$, and a set of {\it blue} nodes, and we observe the evolution of set of $red$ nodes. + + \section{Independent Cascade Model} |