BTC miners can assign their hash power using their public and private keys to a Core validator or to themselves if they decide to run a validator by confirming and synchronizing their identities (addresses) on both the BTC and Core blockchains.
Relayers sync the blocks mined by the BTC miner with the Core Network when they submit transactions. The Core network counts the amount of blocks generated by each miner in the BTC network on the same day of the previous week in order to determine the BTC hash power associated with each validator during each round.
Proof of Stake is a scalable, energy-efficient replacement for PoW, however it limits users with tiny stakes. Some blockchains have introduced various types of Delegated Proof of Stake (DPoS) mechanisms in an effort to level the playing field. These mechanisms allow token holders to elect the validator set by delegating their holdings to validators, who are typically compensated with rewards.
Small-stake CORE holders can use DPoS to transfer their CORE to active Validators, empowering the neighborhood and encouraging the democratization of transferred CORE.