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zeekay abf99d05fc papers: reorganize into per-paper dirs, add Antje Worring as co-author
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\section{Security Analysis}
\label{sec:security}
\subsection{Eclipse Attacks}
An eclipse attack attempts to isolate a validator's sample to consist only of Byzantine
nodes. With uniform random sampling from $n = 500$ validators and $k = 20$:
\[
\Pr[\text{all } k \text{ sampled are Byzantine}] = \binom{f}{k} / \binom{n}{k}
\leq \left(\frac{f}{n}\right)^k = (0.33)^{20} < 2^{-32}
\]
Network-level defenses (peer diversity, multiple transport protocols) further reduce this
probability in practice.
\subsection{Sybil Resistance}
The Wave protocol assumes a fixed, authenticated validator set. Sybil resistance is
provided by the staking mechanism on the platform chain: each validator must bond
stake, and the sampling probability is proportional to stake weight.
\subsection{Long-Range Attacks}
Wave's DAG structure and confidence counters are ephemeral---they concern only the
current UTXO set. Long-range attacks (rewriting history from a past state) are prevented
by the platform chain's periodic checkpointing.
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%% 11. CONCLUSION
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