What Does First Return Visit Mean in Random Walks?

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SUMMARY

The term "first return visit" in the context of random walks refers to the initial instance when a random walk, starting from the origin at time 0, returns to the origin after its commencement. This concept is crucial for understanding the behavior of random walks in probability theory and is discussed in detail in the document available at http://www-math.mit.edu/phase2/UJM/vol1/RMONTE-F.PDF. The discussion emphasizes the significance of this term in analyzing the properties of random walks.

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In random walk, what is the meaning of "fi rst return visit"
I am reading it at http://www-math.mit.edu/phase2/UJM/vol1/RMONTE-F.PDF
 
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Usual meaning: Let us assume the walk starts at the origin at time 0, then the term refers to the first time, after it starts, that it gets back to the origin.
 
mathman said:
Usual meaning: Let us assume the walk starts at the origin at time 0, then the term refers to the first time, after it starts, that it gets back to the origin.
thanks
 

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