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There's an interesting extension to Analytic Combinatorics by Flajolet/Sedgewick called "Analytic Combinatorics in Several Variables" by Pemantle and Wilson: ht
by thomasahle 2y ago
There's an interesting extension to Analytic Combinatorics by Flajolet/Sedgewick called "Analytic Combinatorics in Several Variables" by Pemantle and Wilson: https://www2.math.upenn.edu/~pemantle/papers/ACSV.pdf https://www2.math.upenn.edu/~pemantle/papers/ACSV.pdf and https://acsvproject.com/ https://acsvproject.com/
It extends the original framework with a lot of useful new primitives, like Hadamard products. Super useful!
- 3abiton 2y agoWhile this interesting, what are its main applications?
- thomasahle 2y agoI'm currently using it to analyze a version of the Kaczmarz algorithm, generalizing my answer here: https://mathoverflow.net/a/490506/5429 https://mathoverflow.net/a/490506/5429 But more generally, why do we want to analyze combinatorics and algorithms? I suppose it gives us some confidence that we are actually making progress.
- mrcode007 2y agoThanks!