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9 votes
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Computational complexity in quantitative finance

The question you begin with relates to predicting the stock market, but you seem to have broader concerns. I'll attempt to tackle your meta-question; apologies in advance for my sweeping generalizati …
András Salamon's user avatar
12 votes

Uses of algebraic structures in theoretical computer science

Here are two applications from a different part of TCS. Semirings are used for modelling annotations in databases (especially those needed for provenance), and often also for the valuation structures …
András Salamon's user avatar
6 votes

Research problems in communication complexity

Razborov's 2011 introductory survey lists four open problems, two of which are also in the KN textbook: (KN 2.10) Is it true that $D(f) \le O(\log \chi(f))$? … As is hinted at by Razborov's survey, there are open questions about the quantum communication setting; this area is not covered by the 1997 textbook. …
András Salamon's user avatar
10 votes

What hierarchies and/or hierarchy theorems do you know?

Another strict hierarchy: branching programs which only test each bit a limited number of times. The more tests are allowed, the larger the class of branching programs. Usually the branching programs …