AbstractIn current blockchain systems, full nodes that perform all of the available functionalities need to store entire blockchain. In addition blockchain, also a blockchain-summary, called state, which is used efficiently verify transactions. With size popular blockchains and their states growing rapidly, require massive storage resources in order keep up with scaling. This leads tug-of-war b...

Cayley maps are combinatorial structures built upon graphs on a group. As such the original group embeds in their of automorphisms, and one can ask which situation two coincide (one then calls map  a mapical regular representation or MRR) with what probability. The first question was answered by Jajcay. In this paper we tackle probabilistic version, prove that as groups get larger proporti...