bio  website  math.uvic.ca/faculty/aquas 

location  University of Victoria  
age  46  
visits  member for  4 years 
seen  12 mins ago  
stats  profile views  3,654 
The pic is the phase portrait of a simple "piecewise isometry". Define a map by sliding the two halves of the plane: the top half to the right; the lower half to the left and then rotate. Around each periodic point of the map there's a "periodic island". These are what are in the image...
4h

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A game of stones
So isn't it sufficient to prove that you can do this starting from a single stone? 
Nov 21 
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Does anyone want to see the critical figure for n= 7?
This is not a site to get your proofs checked. I'd suggest trying to find a professional mathematician who is willing to discuss with you, and either help you present things so that they can be understood by the community; or help you identify possible issues with your claimed solution. 
Nov 21 
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The upper and lower bound of the projection of a subshift of finite type
@Nikita: Yes I am sure. Write $f(a_1,\ldots,a_{n1})$ for the maximum value of $\sum_{k\ge n}x_kq^{k}$ over all sequences $(x_k)_{k=n}^\infty$ that are compatible with $a_1,\ldots,a_{n1}$. The maximum occurs somewhere (maybe with ties). Define $G(a_1,\ldots,a_{n1})$ to be the word $a_2\ldots a_{n1}x_n$ where $x_n$ is the first letter of one of the infinite words achieving the maximum. The point is that $f(a_1,\ldots,a_{n1})=x_nq^{n}+(1/q)f(G(a_1,\ldots,a_{n1}))$. This makes use of the specific form of the `projection'. 
Nov 20 
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Infected square
@NoamD.Elkies: Good comment for the wellinformed (or those with access to google like me) 
Nov 19 
answered  The upper and lower bound of the projection of a subshift of finite type 
Nov 14 
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Determinant of matrix from set {1, 1}
@Noam: It seems yesterday's post was deleted. That post asked what's the probability that an 11x11 $\pm 1$ matrix has determinant above 4000. It had an answer from Robert Israel that is very close to the calculation that Neil Strickland redid today since the previous post was deleted. 
Nov 14 
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Infected square
The magic words are bootstrap percolation. 
Nov 14 
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Determinant of matrix from set {1, 1}
This question appears to be offtopic because it is essentially the same as your question from yesterday. 
Nov 13 
answered  $P_{x}(T_{A}<\infty)<P_{x}(T_{B}<\infty)$ imply $Cap_{N}(A)<Cap_{N}(B)$, where $Cap_{N}$ is Newtonian capacity 
Nov 9 
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Hausdorff densities
What makes you think the result is true? 
Nov 9 
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Hausdorff densities
What if the map is constant? 
Nov 8 
awarded  Yearling 
Nov 6 
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Earth mover/Wasserstein distance between a pdf and an empirical distribution
Looking at the paper you cite, it seems that that paper cites an earlier work for the $W_1$ distance, which I think is the "earthmover distance": [11] V. Dobri and J. Yukich. Asymptotics for transportation cost in high dimensions. Journal of Theoretical Probability, 8:97118, 1995. 
Nov 5 
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How to solve a couple of ODEs
For english speakers EDP = PDE 
Nov 5 
revised 
Degree of polynomial approximating characeristic function of finte set
added 1 character in body 
Nov 5 
answered  Degree of polynomial approximating characeristic function of finte set 
Nov 5 
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Degree of polynomial approximating characeristic function of finte set
Why not do it one point at a time? 
Nov 2 
revised 
Lower regularity version of Moser's theorem on volume elements
added 3 characters in body 
Nov 2 
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Lower regularity version of Moser's theorem on volume elements
Thanks again @alvarezpaiva: I have just had a brief look at the paper, but this seems as though it will answer my question (when I understand the paper). If you make this an answer, I can accept it. 
Nov 1 
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Decomposition of nonsingular matrix
Do you have a reason to think this is true? Have you tried some obvious seeming possible counterexamples such as the identity matrix? Also, are $n_1,n_2,k_1,k_2$ supposed to be given or free? 