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math.GT2024
Average signature and 4-genus of 2-bridge knots
Moshe Cohen, Adam M. Lowrance, Neal Madras +1
We show that the average or expected absolute value of the signatures of all 2-bridge knots with crossing number approaches . Baader, Kjuchukova, Lewark, Misev,…
math.GT2023
The distribution of genera of 2-bridge knots
Moshe Cohen, Abigail DiNardo, Adam M. Lowrance +4
The average genus of a 2-bridge knot with crossing number approaches as approaches infinity, as proven by Suzuki and Tran and independently Coh…