📊LDFs (coming soon)

In A51 Carbon, Liquidity Density Functions (LDFs) are integral to defining how liquidity is distributed across various price ranges within a pool. These functions enable liquidity providers to implement sophisticated strategies by specifying the desired liquidity allocation over specific price intervals.

Understanding LDFs

An LDF is a normalized function that determines the distribution of liquidity over designated price ranges, known as "ricks" (rounded ticks), in a pool. This function ensures that the total liquidity is allocated according to the specified distribution pattern, allowing for tailored liquidity provisioning strategies.

Example: Geometric Distribution

A common example of an LDF is the geometric distribution, which allocates liquidity across price ranges following a geometric progression. By adjusting parameters such as the exponent and length, liquidity providers can customize the distribution to align with their strategic objectives.

Composing LDFs

LDFs can be combined to create more complex liquidity distributions. By weighting and summing multiple LDFs, liquidity providers can design intricate allocation patterns that cater to specific market conditions or investment strategies.

By leveraging LDFs, A51 Carbon empowers liquidity providers with enhanced control over their asset distribution, facilitating the implementation of advanced, automated liquidity provisioning strategies that adapt to evolving market dynamics.

More details on LDFs will be added later.