7 papers
Skew column RSK dynamics and the box-ball system
Takashi Imamura, Matteo Mucciconi, Tomohiro Sasamoto +1
The Fomin local rules for Schensted column insertion can be seen as a two-lane box-ball system, in which a carrier moves particles forward or laterally. Running such two-lane dynam…
On the Boson-Fermion Correspondence for Factorial Schur Functions
Daniel Bump, Andrew Hardt, Travis Scrimshaw
We give an algebraic (non-analytic) proof of the deformed boson-fermion Fock space construction of Molev's double supersymmetric Schur functions, among other results, from our prev…
Twisted multiline queues for the steady states of TASEP and TAZRP
Olya Mandelshtam, Travis Scrimshaw
We define an algorithm on fermionic and bosonic twisted multiline queues that projects to the multispecies totally asymmetric simple exclusion process (TASEP) and the totally asymm…
Factorial Fock free fermions
Daniel Bump, Andrew Hardt, Travis Scrimshaw
We use a double shifted power analog of free fermion fields to introduce current operators, Hamiltonians, and vertex operators which are deformed by two families of parameters and…
A strange five vertex model and multispecies ASEP on a ring
Atsuo Kuniba, Masato Okado, Travis Scrimshaw
We revisit the problem of constructing the stationary states of the multispecies asymmetric simple exclusion process on a one-dimensional periodic lattice. Central to our approach…
Limit shapes and fluctuations for skew Howe duality
Dan Betea, Anton Nazarov, Pavel Nikitin +1
We consider the probability measures on Young diagrams in the rectangle obtained by piecewise-continuously differentiable specializations of Schur polynomials in the d…
Free fermionic probability theory and K-theoretic Schubert calculus
Shinsuke Iwao, Kohei Motegi, Travis Scrimshaw
For each of the four particle processes given by Dieker and Warren [arXiv:0707.1843], we show the -step transition kernels are given by the (dual) (weak) refined symmetric Groth…