# q-deformed Interacting Particle Systems, RSKs and Random Polymers

 Title: q-deformed Interacting Particle Systems, RSKs and Random Polymers Author: Matveev, Konstantin Citation: Matveev, Konstantin. 2016. q-deformed Interacting Particle Systems, RSKs and Random Polymers. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences. Full Text & Related Files: MATVEEV-DISSERTATION-2016.pdf (1.187Mb; PDF) Abstract: We introduce and study four $q$-randomized Robinson--Schensted--Knuth (RSK) insertion tableau dynamics. Each of them is a discrete time Markov dynamics on two-dimensional interlacing particle arrays (these arrays are in a natural bijection with semistandard Young tableaux). For \$0