Understanding Concentrated Liquidity in Uniswap v3

Uniswap v3 introduces concentrated liquidity, allowing liquidity providers to allocate capital within specific price ranges rather than across the full range. The post explains the tick system (price = 1.0001^tick), tick spacing for gas efficiency, and the sqrtPriceX96 fixed-point representation used in Solidity. Key smart contract functions are covered: initialize() sets the pool's starting price, mint() creates a liquidity position, burn() removes liquidity (accounting only), and collect() transfers tokens to the user. Design insights include discrete liquidity modeling, capital efficiency gains, gas optimization via slot0 packing, and separation of concerns across the three core functions.