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papers/lux-market-nft/sections/10-performance-metrics.tex
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\section{Performance Metrics}
\subsection{Trading Volume Analysis}
Platform performance metrics demonstrate significant traction:
\begin{table}[h]
\centering
\begin{tabular}{|l|c|c|c|}
\hline
\textbf{Metric} & \textbf{Q1 2025} & \textbf{Q2 2025} & \textbf{Growth} \\
\hline
Volume (ETH) & 12,450 & 28,320 & 127\% \\
Transactions & 45,200 & 98,500 & 118\% \\
Unique Users & 8,200 & 18,900 & 130\% \\
Collections Listed & 450 & 1,200 & 167\% \\
\hline
\end{tabular}
\caption{Quarterly performance metrics}
\end{table}
\subsection{User Growth Trajectory}
User acquisition follows an exponential growth model:
\begin{equation}
U(t) = U_0 \cdot e^{rt} \cdot (1 - e^{-\lambda t})
\end{equation}
where $r$ is the growth rate and $\lambda$ is the saturation factor.
\subsection{Liquidity Depth Metrics}
Liquidity depth measured by:
\begin{equation}
D_{liquidity} = \sum_{p=0.9P_{mid}}^{1.1P_{mid}} V(p)
\end{equation}
where $V(p)$ is the volume available at price $p$.
\subsection{Price Improvement Analysis}
Average price improvement versus individual marketplaces:
\begin{equation}
I_{price} = \frac{P_{individual} - P_{aggregated}}{P_{individual}} \times 100\%
\end{equation}
Studies show average improvement of 3.2\% with peaks of 15\% during high volatility.