ams subject

[rairo15.git] / stopping.tex

diff --git a/stopping.tex b/stopping.tex
index eec08aa44af7534e81b33bb79f7799753763e129..d3b4f4d4c1ff44127c30b3dcd93765f54aa2e367 100644 (file)
--- a/stopping.tex
+++ b/stopping.tex
@@ -165,14 +165,16 @@ has been removed.
 
 We define the Markov matrix $P_h$ for each line $X$ and 
 each column $Y$  as follows:
 
 We define the Markov matrix $P_h$ for each line $X$ and 
 each column $Y$  as follows:

-$$\left\{
+\begin{equation}
+\left\{

 \begin{array}{ll}
 P_h(X,X)=\frac{1}{2}+\frac{1}{2{\mathsf{N}}} & \\
 P_h(X,Y)=0 & \textrm{if  $(X,Y)\notin E_h$}\\
 P_h(X,Y)=\frac{1}{2{\mathsf{N}}} & \textrm{if $X\neq Y$ and $(X,Y) \in E_h$}
 \end{array}
 \right.
 \begin{array}{ll}
 P_h(X,X)=\frac{1}{2}+\frac{1}{2{\mathsf{N}}} & \\
 P_h(X,Y)=0 & \textrm{if  $(X,Y)\notin E_h$}\\
 P_h(X,Y)=\frac{1}{2{\mathsf{N}}} & \textrm{if $X\neq Y$ and $(X,Y) \in E_h$}
 \end{array}
 \right.

-$$ 
+\label{eq:Markov:rairo}
+\end{equation} 

 
 We denote by $\ov{h} : \Bool^{\mathsf{N}} \rightarrow \Bool^{\mathsf{N}}$ the function 
 such that for any $X \in \Bool^{\mathsf{N}} $, 
 
 We denote by $\ov{h} : \Bool^{\mathsf{N}} \rightarrow \Bool^{\mathsf{N}}$ the function 
 such that for any $X \in \Bool^{\mathsf{N}} $,