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Results tagged with geometric-measure-theory
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user 111097
Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
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Convergence of an iterated sequence
Let $K=[0,1]^2$ be a square and $p\in (0,1)$ be a fixed number. We define a map $F: K^2\to K^2$ as follows.
For $(x_1,y_1), (x_2,y_2)\in K$, it follows by a straightforward computation that there e …
CommunityBot
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Convergence of an iterated sequence
Thank @AnthonyQuas for the reply. I claim that this is not an answer, but just a question related to the last remark by @AnthonyQuas
Consider one case where $\Delta x:=x_2-x_1>0$, $\Delta y:=y_2-y_1> …
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