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math.CO2020★ 5 cited
Poisson limit of bumping routes in the Robinson-Schensted correspondence
Łukasz Maślanka, Mikołaj Marciniak, Piotr Śniady
We consider the Robinson-Schensted-Knuth algorithm applied to a random input and investigate the shape of the bumping route (in the vicinity of the -axis) when a specified numbe…
math.CO2019
Second class particles and limit shapes of evacuation and sliding paths for random tableaux
Łukasz Maślanka, Piotr Śniady
We investigate two closely related setups. In the first one we consider a TASEP-style system of particles with specified initial and final configurations. The probability of each h…