28 citations · 88 across the 12 of their papers we have counts for
13 papers
Coordinate-energy transformation and the one-point function for the Heisenberg-Ising XXZ spin-1/2 chain on the ring
Eric I. Corwin, Nikolaus Elsaesser, Axel Saenz
We provide explicit formulas to diagonalize the Hamiltonian for the Heisenberg-Ising XXZ spin-1/2 chain on a discrete ring. Two distinguished bases for the Hilbert space include th…
Contour Integral Formulas for PushASEP on the Ring
Jhih-Huang Li, Axel Saenz
We give contour integral formulas for the generating function of the joint distribution of the PushASEP on a ring. We obtained these formulas through a rigorous treatment of Bethe…
Rewriting History in Integrable Stochastic Particle Systems
Leonid Petrov, Axel Saenz
Many integrable stochastic particle systems in one space dimension (such as TASEP - Totally Asymmetric Simple Exclusion Process - and its -deformation, the -TASEP) remain int…
Non-intersecting path constructions for TASEP with inhomogeneous rates and the KPZ fixed point
Elia Bisi, Yuchen Liao, Axel Saenz +1
We consider a discrete-time TASEP, where each particle jumps according to Bernoulli random variables with particle-dependent and time-inhomogeneous parameters. We use the combinato…
Domain Walls in the Heisenberg-Ising Spin-1/2 Chain
Axel Saenz, Craig A. Tracy, Harold Widom
In this paper we obtain formulas for the distribution of the left-most up-spin in the Heisenberg-Ising spin-1/2 chain with anisotropy parameter , also known as the XXZ spin-1/2…
Mapping TASEP back in time
Leonid Petrov, Axel Saenz
We obtain a new relation between the distributions at different times of the continuous-time TASEP (Totally Asymmetric Simple Exclusion Process) started from the ste…