Ergodic process

An ergodic process is like a game that we play where we go on an adventure and see different outcomes. Let's say we go on an adventure where we can either go left or right at each fork in the road. In an ergodic process, we repeat this adventure many times.

Now imagine that we record the outcomes of each adventure every time we go on it. We can use these outcomes to figure out certain things like which direction we tend to go more often, or how long it takes us to get to our destination on average.

An ergodic process is like a game where the outcomes we get from repeating the adventure over and over again tend to be similar or "average out" in some way. This means that if we look at the outcomes of many different adventures, we can use this to understand what the "average" outcome is likely to be.

For example, if we repeat the adventure many times, we might find that we tend to go left more often than right, and that it usually takes us 10 minutes to get to our destination. This can help us plan for future adventures, as we now have a better understanding of what we can expect.

Overall, an ergodic process is a way of studying random or uncertain events by repeating them many times and looking at the outcomes. By doing this, we can gain a better understanding of what to expect and how to plan for the future.