The distribution for infinite simple symmetric random walks
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I've written a program that takes a 2d grid of ints and takes a time step by having an int distribute each "particle" it contains randomly in the surrounding cells of the grid (so if i have a point on the grid with 5 and take a time step, 1 will be added randomly to the surrounding points 5 times). I've noticed that if I add some value to a point on the matrix repeatedly each time step in addition to having this random distribution, I get a sort of 2-D normal distribution around that point. Is there a good analytical way I can determine what this distribution is?
probability probability-distributions normal-distribution random-walk cellular-automata
asked Dec 4 '18 at 0:28
RadagastRadagast
165
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add a comment |
$begingroup$
I've written a program that takes a 2d grid of ints and takes a time step by having an int distribute each "particle" it contains randomly in the surrounding cells of the grid (so if i have a point on the grid with 5 and take a time step, 1 will be added randomly to the surrounding points 5 times). I've noticed that if I add some value to a point on the matrix repeatedly each time step in addition to having this random distribution, I get a sort of 2-D normal distribution around that point. Is there a good analytical way I can determine what this distribution is?
probability probability-distributions normal-distribution random-walk cellular-automata
asked Dec 4 '18 at 0:28
RadagastRadagast
165
$endgroup$
add a comment |
$begingroup$
I've written a program that takes a 2d grid of ints and takes a time step by having an int distribute each "particle" it contains randomly in the surrounding cells of the grid (so if i have a point on the grid with 5 and take a time step, 1 will be added randomly to the surrounding points 5 times). I've noticed that if I add some value to a point on the matrix repeatedly each time step in addition to having this random distribution, I get a sort of 2-D normal distribution around that point. Is there a good analytical way I can determine what this distribution is?
probability probability-distributions normal-distribution random-walk cellular-automata
asked Dec 4 '18 at 0:28
RadagastRadagast
165
$endgroup$
I've written a program that takes a 2d grid of ints and takes a time step by having an int distribute each "particle" it contains randomly in the surrounding cells of the grid (so if i have a point on the grid with 5 and take a time step, 1 will be added randomly to the surrounding points 5 times). I've noticed that if I add some value to a point on the matrix repeatedly each time step in addition to having this random distribution, I get a sort of 2-D normal distribution around that point. Is there a good analytical way I can determine what this distribution is?
probability probability-distributions normal-distribution random-walk cellular-automata
probability probability-distributions normal-distribution random-walk cellular-automata
asked Dec 4 '18 at 0:28
RadagastRadagast
165
asked Dec 4 '18 at 0:28
RadagastRadagast
165
asked Dec 4 '18 at 0:28
RadagastRadagast
165
asked Dec 4 '18 at 0:28
RadagastRadagast
165
asked Dec 4 '18 at 0:28
RadagastRadagast
165
165
add a comment |
add a comment |
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