i am tying to analyze a random walk on an integer lattice [itex]\mathbb{Z}^k[/itex]. for [itex]k=1[/itex], what is the probability that after steps the drunkard's distance from the origin is lower than [itex]\sqrt{n}[/itex]?(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Random (drankard) walk distance after n steps

**Physics Forums | Science Articles, Homework Help, Discussion**