Analysis of Concurrent Lock-Free Hash Tries with Constant-Time Operations
Ctrie is a scalable concurrent non-blocking dictionary data structure, with good cache locality, and non-blocking linearizable iterators.
However, operations on most existing concurrent hash tries run in O(log n) time. In this technical report, we extend the standard concurrent hash-tries with an auxiliary data structure called a cache. The cache is essentially an array that stores pointers to a specific level of the hash trie. We analyze the performance implications of adding a cache, and prove that the running time of the basic operations becomes O(1).
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 Aleksandar Prokopec. 2018. Cache-Tries: Concurrent Lock-Free Hash Tries with Constant Time Operations. (2018)
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 Aleksandar Prokopec, Nathan Grasso Bronson, Phil Bagwell, and Martin Odersky. 2012. Concurrent Tries with Efficient Non-blocking Snapshots. (2012), 151–160. https://doi.org/10.1145/2145816.2145836