A Study on Ergodicity and its Consequences
Author: Himanshu Lekharu1* 1Research scholar, Jawaharlal Nehru University, New Delhi*Corresponding author: himanshu.lekharu@gmail.com AbstractErgodic theory, a profound mathematical field, delves into the long-term behavior of dynamic systems. This concise overview begins by introducing fundamental measure theory concepts, such as measure spaces and measurable functions. It then explores measure-preserving transformations with examples like Poincar ´e recurrence and…