Logarithmic Convergence

Definition ∞ Logarithmic Convergence describes a property in distributed systems where the time required for all nodes to reach agreement on a shared state grows logarithmically with the size of the network. This implies that even as the number of participants significantly increases, the time to achieve consensus rises at a much slower rate. It is a desirable characteristic for scalable blockchain protocols, allowing them to maintain efficiency with expanding user bases. This property is crucial for maintaining network performance.
Context ∞ Logarithmic Convergence is a topic of academic and technical discussion in cryptocurrency news, particularly when evaluating the scalability and efficiency of new consensus algorithms. Protocols aiming for high transaction throughput often seek to demonstrate this property in their design. Achieving such convergence helps ensure that large, decentralized networks can operate effectively without excessive delays.