6 papers
The asymmetric five vertex model on a rectangle
Jan de Gier, Richard Kenyon, Michael Wheeler +1
We derive a determinantal expression for the inhomogeneous asymmetric five vertex model in a rectangular geometry with arbitrary boundary conditions at the bottom and top. Standard…
Intertwining Markov Processes via Matrix Product Operators
Rouven Frassek, Jan de Gier, Jimin Li +1
Duality transformations reveal unexpected equivalences between seemingly distinct models. We introduce an out-of-equilibrium generalisation of matrix product operators to implement…
-deformations of the Tsetlin library
Arvind Ayyer, Sarah Brauner, Jan de Gier +1
The Tsetlin library is a random shuffling process on permutations of letters, where each letter can be interpreted as a book; book is brought to the front of the booksh…
Pfaffian Transition Probability and Correlation Kernel of TASEP in Half-space
Jan de Gier, William Mead, Daniel Remenik +1
We present the transition probability for the asymmetric simple exclusion process on the half-space for general initial conditions and particle insertion at the boundary. In the li…
Learning the symmetric group: large from small
Max Petschack, Alexandr Garbali, Jan de Gier
Machine learning explorations can make significant inroads into solving difficult problems in pure mathematics. One advantage of this approach is that mathematical datasets do not…
Symmetric functions from the six-vertex model in half-space
Alexandr Garbali, Jan de Gier, William Mead +1
We study the stochastic six-vertex model in half-space with generic integrable boundary weights, and define two families of multivariate rational symmetric functions. Using commuta…