random walk visualization
- To: mathgroup at smc.vnet.net
- Subject: [mg105245] random walk visualization
- From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
- Date: Wed, 25 Nov 2009 02:34:33 -0500 (EST)
Dear Community,
I am making a demonstration for a lecture on random walk. This should
show the random walk evolving in 2D. The following works nicely:
x := 0;
y := 0;
tab = Table[{x += RandomInteger[{-1, 1}],
y += RandomInteger[{-1, 1}]}, {1000}];
imTab = Table[
Show[{Graphics[{Blue, Line[tab[[1 ;; i]]]}],
Graphics[{Red, Thick, Arrowheads[0.03],
Arrow[{tab[[1]], tab[[i]]}]}]},
PlotRange -> {{-40, 40}, {-40, 40}}], {i, 2, 1000}
];
ListAnimate[imTab]
It however, takes a lot of memory, and few minutes to generate the
graphics list. That is too long.
If I could directly Animate the graphics instead of generating initially
a graphics list, it would be much faster. This intends to do such a
direct animation:
x := 0;
y := 0;
tab = Table[{x += RandomInteger[{-1, 1}],
y += RandomInteger[{-1, 1}]}, {1000}];
Animate[Show[{Graphics[{Blue, Line[tab[[1 ;; i]]]}],
Graphics[{Red, Thick, Arrowheads[0.03],
Arrow[{tab[[1]], tab[[i]]}]}]},
PlotRange -> {{-40, 40}, {-40, 40}}], {i, 2, 1000}
]
But it does not work. I cannot understand the reason. Any idea?
Regards, Alexei
--
Alexei Boulbitch, Dr., habil.
Senior Scientist
IEE S.A.
ZAE Weiergewan
11, rue Edmond Reuter
L-5326 Contern
Luxembourg
Phone: +352 2454 2566
Fax: +352 2454 3566
Website: www.iee.lu
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