Random nigger walk

Suppose a gang of an arbitrary number of niggers. The first nigger can move in only one dimension, and each subsequent nigger can move in one dimension greater than the last (ie, nigger No. 12 can move in twelve dimensions). The niggers live in a city of arbitrary dimensions that expand forever in all directions as an infinite ghetto. At point p, the niggers participate in a walk-by shooting. The police show up and the niggers scatter. Each nigger, upon reaching an intersection, picks a random direction to run (the nigger elects to turn back with equal probability) from all the dimensions he can travel. If a nigger returns to p, he is arrested. The niggers run forever. What are the probabilities that any given number of niggers will be caught?

Tsk.

*African Americans.

No matter where they are there's always a path to p so you'd think they all get caught in the end.

>>3
Nope.
http://mathworld.wolfram.com/PolyasRandomWalkConstants.html

Probability of getting caught approaches one as time goes on indefinitely.

>>5
Wipe the mayo from your eyes, dumb cracka: http://mathworld.wolfram.com/PolyasRandomWalkConstants.html
Higher-dimensional niggas are virtually uncatchable, even as time approaches infinity.

>>2
Africans cannot be Americans. It's either one or the other.

>>5
Time continues infinitely in only one direction, while the niggers move in many directions. The cardinality of the infinite possible paths for the niggers exceeds that of the cardinality of the infinite time periods, so it is not a given that all the niggers will eventually return.

>>8

Time continues infinitely in only one direction

You're educated stupid refusing the truth of four simultaneous days on four simultaneous earths. EARTH HAS 4 CORNER SIMULTANEOUS 4-DAY TIME CUBE WITHIN SINGLE ROTATION.

YOU WERE ONEness RETARD ON THE
EARTH OPPOSITES ALL YOUR LIFE.
LOVE OF GOD IS HATE OF CHILDREN.
SUPPORT TIMECUBE OR BE CURSED.

BURY YOUR FUCKING DEAD GOYIM

>>4,6
Kike bullshit to allow criminal apes to destroy white society by convincing people that it's not worth the effort to pursue higher-dimensional thugs and put them in prison.

100% They all get caught on the Day of the Rope.

>>11
This is just theoretical bullshit, in the real world hyper dimensional white cops would give pursuit (nonrandomly) and gun down the niggers.

>>13
And then niggers would start rioting in Hyperferguson.

But for each nigger i has a time t_i so that after t_i the probability of nigger i returning to the original spot is at least 1 - \epsilon. >>3 applies for each individual nigger but not all of them.

>>6
I should have read the link before. That was surprising.

This is actually a complete pain in the ass to try to solve. Two hours in and the only one approximated is d=3. The slightest change in the trapezoid integration blows all the other probabilities up. It takes and enormous amount of work to solve it by hand, which doesn't even really help tell me where it's going wrong.

I'm tired. This is annoying. I don't care anymore. I give up. The hyperniggers go free. You win, >>1-sama. I'm going to bed.

Fuck Bessel.

>>17
Use a theorem prover and/or computer algebra system silly.

>>1

forever

Shalom!

>>18
It cannot even do that many problems let alone being faster than the average human at the ones it can do.

>>17
I assume that you think you can find the probability that any given number of hypernigs can be caught just by multiplying the probabilities of each one up to that point. That is the highest possible probability, but it is not the probability. You need to model it as a selection of a number of niggers out of many. Fittingly, I'd bet that the hypergeometric distribution would work out well. Especially since I just went to the wiki to make sure I wasn't to factually incorrect and learned that the generalized hypergeometric function is related to Bessel functions, which this problem already uses.

Isn't it 100% if they're running forever?
Infinite moves on an infinite board.
Hmmmmm

>>22

Nice Dubs.

>>22
For fucks sake, read the god damn thread, Luke. You're like the 999^th person to suggest that.

>>24
Isn't it 100% if they're running forever?
Infinite moves on an infinite board.
Hmmmmm

>>25
You're like the 1000^th person to suggest that. Congatulations for awesome triplets!

>>24
I'm not Luke xD
Silly NSA agent you should know that