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Jan
10
answered Is there a similar theorem in the partially hyperbolic case?
Nov
25
reviewed Reject suggested edit on Degeneration of riemannian metrics with curvature bounds
Nov
9
awarded  Custodian
Nov
3
awarded  Custodian
Nov
3
reviewed Approve suggested edit on Elementary Embeddings and Relative Constructibility
Oct
28
comment Dynamical properties of injective continuous functions on $\mathbb{R}^d$
Thanks! In light of your comment, I added your good point about a stronger downward component and made the wording overall a bit less tentative.
Oct
28
revised Dynamical properties of injective continuous functions on $\mathbb{R}^d$
added 264 characters in body
Oct
28
answered Dynamical properties of injective continuous functions on $\mathbb{R}^d$
Oct
27
awarded  Yearling
Sep
22
awarded  Informed
Sep
2
answered How to understand a solenoid?
Jul
9
answered Force-directed graph drawing in 1D?
Oct
27
awarded  Yearling
Oct
28
awarded  Yearling
Oct
26
awarded  Enlightened
Oct
26
awarded  Nice Answer
Oct
15
comment When is a submanifold of $\mathbf R^n$ given by global equations?
For $S^1$, what about $f(x, y, z) = (x^2 + y^2 - 1, z)$? But is it possible to do a knot?
Jul
23
comment Fixed points which are not locally attractive can have distant basins of attraction?
Under one interpretation of your terms, here's an example. The flow defined by $x' = x^2$ has a non-locally-attracting fixed point at 0, but any open set of negative numbers is attracted to it. But perhaps you mean something else?
Apr
25
comment Orthogonal foliations
+1. This is really nicely written--it's an excellent example of how to give a helpful expository (as opposed to problem-solving) answer.
Apr
15
comment A model of self-organizing behavior
This seems related to the literature on "pulse-coupled oscillators," which is inspired partly by models of synchronized firefly flashing or cricket chirping. It may not treat your exact rule, but if you haven't looked into this already, see for instance: eecs.harvard.edu/~degesys/pulse.html