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zeekay
9504b4c3ef
Sweep across the non-Tier-1 paper catalogue (Tier-1 owned by parallel
agent and excluded). All 113 processed papers already had luxcover
wired up; this commit fixes 14 build breakers and produces fresh
PDFs across the catalogue.
Fixes:
- lux-blockchain-scaling-laws: em-dash inside lstlisting -> --
- lux-corona-pq: stale \input pointing at 03-the-corona-scheme renamed
to 03-the-corona-scheme (file already renamed on disk)
- lux-lattice-cryptography-primer: same Corona->Corona rename
- lux-formal-verification-lean4: Lean source uses unicode (×, ∀, ∃, ∈,
∧, ∨, ∩, ≠, ⟨, ⟩, ·, ¬) inside lstlistings. Added a literate map
so listings render the math glyphs without UTF-8 fault.
- lux-id-did-specification: ✓/✗ in tabular replaced with \ding{51}
/ \ding{55} (pifont). Added pifont package.
- lux-ntt-simd-implementation: middle-dot in Go assembly listings;
added literate {·}{\textperiodcentered}.
- lux-ntt-transform: μ, ×, –, — in regular text (no T1 fontenc).
Replaced with $\mu$/$\times$/--/--- via unicode->latex sweep.
- lux-perpetuals-derivatives, lux-quantum-consensus,
lux-quasar-consensus, lux-tee-computing-mesh: same unicode->latex
sweep across body text. Also fixed broken math segment
`$L_{avg} = 10$\times$$` -> `$L_{avg} = 10\times$`.
- lux-zchain: emoji glyphs in roadmap table replaced with
parenthetical text.
- lux-triple-proof-consensus: dropped duplicate \usepackage{geometry}
that clashed with luxcover (geometry option clash).
- pq: defined missing \Rq macro.
PDFs rebuilt for the full Tier-2/3 set.
Excluded (Tier-1, parallel agent): lp-073-pulsar, lp-stricte2epq,
dag-evm-formal, lp-010-quasar-stm-{3,4}, lp-020-quasar-consensus,
lux-institutional-custody, lux-nist-mptc-submission, pqsafe-il5,
pq-rns, plus shared/ and lps/.
50 lines
1.4 KiB
TeX
50 lines
1.4 KiB
TeX
\section{Performance Metrics}
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\subsection{Trading Volume Analysis}
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Expected daily volume based on market simulations:
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\begin{equation}
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V_{\text{daily}} = N_{\text{users}} \cdot \bar{T}_{\text{user}} \cdot \bar{S}_{\text{trade}} \cdot (1 + L_{\text{avg}})
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\end{equation}
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where $N_{\text{users}} = 10,000$, $\bar{T}_{\text{user}} = 5$ trades/day, $\bar{S}_{\text{trade}} = \$1,000$, $L_{\text{avg}} = 10\times$.
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\subsection{Open Interest Dynamics}
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Open interest follows mean-reverting process:
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\begin{equation}
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\text{dOI}_t = \kappa(\mu - \text{OI}_t)\text{dt} + \sigma_{\text{OI}}\sqrt{\text{OI}_t}\text{dW}_t
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\end{equation}
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\subsection{Liquidation Statistics}
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Historical liquidation analysis shows:
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\begin{table}[h]
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\centering
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\begin{tabular}{|l|c|c|c|}
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\hline
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\textbf{Market Condition} & \textbf{Liquidation Rate} & \textbf{Avg Size} & \textbf{Insurance Usage} \\
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\hline
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Normal ($\sigma$ < 50\%) & 0.5\%/day & \$5,000 & 0\% \\
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Volatile (50\% < $\sigma$ < 100\%) & 2\%/day & \$15,000 & 5\% \\
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Extreme ($\sigma$ > 100\%) & 8\%/day & \$50,000 & 20\% \\
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\hline
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\end{tabular}
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\caption{Liquidation statistics by market regime}
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\end{table}
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\subsection{Capital Efficiency}
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Protocol achieves high capital utilization:
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\begin{equation}
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\eta = \frac{\text{OI}_{\text{total}}}{\text{TVL}} = \frac{\sum_i S_i \cdot L_i}{\text{LP}_{\text{deposits}} + \sum_i C_i}
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\end{equation}
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Target efficiency: $\eta > 3$ (300\% utilization).
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