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2 votes
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The energy of a semilinear ODE

The lower bound you found is the correct one (there is a typo in the paper). If you plug in the value of the specific constant solution described on page 273, with the value of $k$ found on page 272, ...
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5 votes
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What are the right mathematical tools / language to analyse complex networks over time?

There may well be suitable proprietary tools, but if you prefer open source, you might try Cytoscape. Cytoscape is an open source software platform for visualizing molecular interaction networks and ...
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1 vote

Birkhoff conjecture about integrable billiards

I think has recently obtained partial results on this conjecture (On polynomially integrable Birkhoff billiards on surfaces of constant curvature, JEMS 2021)
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6 votes

Reparameterizing Conway's Game of Life as a scalar reaction-diffusion equation

It can - basically, redefine the kernel $k$ as follows: $$ k = \left[ \begin{array}{} 1 & 1 & 1 \\ 1 & 9 & 1 \\ 1 & 1 & 1 \end{array} \right] $$ Then redefine $f$ as $$ f(u) = \...
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1 vote

Critical Reynolds numbers for turbulence in 3D and 2D planar Couette flows

Two-dimensional plane-periodic Couette flow is non-turbulent for long times at any Reynolds number. The mechanism by which laminar flow is recovered is analyzed in Enhanced dissipation and inviscid ...
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1 vote
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Union of admissible words are subshift of finite type

So, I probably did not initially understand you correctly. Let me analyze four interpretations of your construction; the first is what I thought first, the second gives something uninteresting, the ...
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3 votes

Cohomology for extension problems in symbolic/topological dynamics?

This is joint work with Ilkka Törmä (50-50, I am just more interested in points than him). We did not see a link to cohomology, but your technical question was very interesting, and we believe we ...
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