My progress reports may have been dormant for a few weeks, but the search for Levinson’s theorem on graphs has not! Â (My laptop was stolen last week so my recent time with computers has been necessarily precious and could not be wasted on blog ramblings. Â More on this below.) Explorations in Mathematica As you may [...]
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The Zealot King Problem Let’s say you’re the king of a far-off land inhabited by Turing machines. As a highly religious king, you have strict morals and lately, you’ve been frustrated to see many of your citizens acting immorally. You’ve been especially aghast at their frequent and flagrant violation of restriction R. Restriction R isn’t [...]
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My recent hacks at trying to find the scattering and bound states of a semi-infinite line attached to a single weighted edge (the simplest graph imaginable) hadn’t been too successful until today. I had not really been sure about how to approach the problem and had only written down a Hamiltonian and postulated some qualitative [...]
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