Infinite Divisibility

Infinite divisibility refers to a property of certain quantities, such as numbers or probability distributions, that can be divided into infinitely smaller parts without losing their fundamental characteristics. For example, a divisible number can be split into smaller parts repeatedly, each still resembling the original in some way. In probability, an infinitely divisible distribution can be viewed as the sum of an arbitrary number of smaller, independent components. This concept is important in fields like finance and statistics, as it helps model complex phenomena by breaking them down into simpler, repeatable elements.