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Results tagged with reference-request
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user 13832
This tag is used if a reference is needed in a paper or textbook on a specific result.
3
votes
0
answers
141
views
Reference for standard lemmas in polygonal billiards
I'm trying to track down references for a couple of well-known results in the theory of polygonal billiards for a paper I'm working on.
Recall that periodic trajectories on a polygonal table occur in …
- 881
4
votes
0
answers
83
views
Do identical orbit tiles imply identical combinatorial types?
Given a periodic trajectory on a triangle, we can associate to this trajectory a sequence of integers $1,2$ and $3$ by labeling the edges of the triangle and taking the sequence of edges the trajector …
- 881
3
votes
1
answer
472
views
Strata of quadratic differentials from rational billiards
Given a quadratic differential $q$ on a surface of genus $g$, we say that $q\in \mathcal Q(k_1,\ldots,k_n)$ if $q$ has $n$ distinct zeroes of order $k_1,\ldots,k_n$ respectively. The set $\mathcal Q(k …
- 881
1
vote
Accepted
Order density of smooth functions among continuous functions?
Yes, since smooth functions are dense in $C^0([a,b])$ with the supremum norm. Since $[a,b]$ is compact, $\inf (h-f)$ is acheived somewhere in $[a,b]$ so must be positive. Thus any smooth function $g$ …
- 881