bio | website | |
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location | Paris, Frace | |
age | ||
visits | member for | 4 years, 7 months |
seen | Feb 22 '12 at 9:53 | |
stats | profile views | 414 |
Independant mathematician. Working on fractal geometry.
Oct 15 |
awarded | Nice Question |
Sep 24 |
awarded | Autobiographer |
Apr 12 |
awarded | Popular Question |
Nov 8 |
awarded | Nice Answer |
Apr 26 |
awarded | Necromancer |
Feb 7 |
awarded | Teacher |
Oct 24 |
accepted | How to characterize a Self-avoiding path. |
Oct 13 |
comment |
How to characterize a Self-avoiding path.
Nice one ! :-) The absolute moves algorithm applied to relative moves. |
Oct 13 |
comment |
How to characterize a Self-avoiding path.
I found a fractal pattern generated by the Fibonacci word, (by interpreting the sequence as a sequence of relative moves). The pattern looks clearly self-avoiding and I'd like to prove it. More generaly, I wonder how to characterise a loop, on a walk of relative moves, in a simple way. |
Oct 12 |
comment |
How to characterize a Self-avoiding path.
Thanks for this interesting answer ! Your simplification rules seem correct and it surely is a valid way to determine if a sequence of relative moves is a loop or not. I haven't found any counter-example so far. Now, it isn't really what I could call a "simple rule". Maybe I am looking for something that does not exist ? Unless...anybody else has got an idea ? |
Oct 11 |
comment |
How to characterize a Self-avoiding path.
Whow ! Lots of answers. I'm not sure I have the one I expect here. I need to read all this again. In the meantime, I edited again my question, because I am not precise enough. I hope this example makes things more clear. |
Oct 11 |
revised |
How to characterize a Self-avoiding path.
added 532 characters in body |
Oct 10 |
revised |
How to characterize a Self-avoiding path.
deleted 11 characters in body |
Oct 9 |
awarded | Editor |
Oct 9 |
comment |
How to characterize a Self-avoiding path.
Thanks. I have edited my question to precise the kind of rule I am looking for. It was not clear enough. Thanks. |
Oct 9 |
revised |
How to characterize a Self-avoiding path.
added 420 characters in body |
Oct 8 |
asked | How to characterize a Self-avoiding path. |
Sep 14 |
answered | Proofs without words |
Sep 10 |
accepted | Hausdorff dimension of subsets of the Mandelbot set. |
Sep 8 |
comment |
Hausdorff dimension of subsets of the Mandelbot set.
After all, the answer may be in the paper itself. Shishikura says : "Theorem A. H-dim(∂M) = 2. Moreover for any open set U which intersects ∂M, we have H-dim(∂M ∩ U) = 2." The way it is written seems strange to me. Why use this open set intersecting the boundary ? Does this answer the question ? Thanks. |