6 papers
Computation and sampling for Schubert specializations
David Anderson, Greta Panova, Leonid Petrov
We present computational results on principal specializations of Schubert polynomials, which count reduced pipe dreams and reduced bumpless pipe dreams (RBPD)…
Colored interlacing triangles and Genocchi medians
Natasha Blitvic, Leonid Petrov
Colored interlacing triangles, introduced by Aggarwal-Borodin-Wheeler (2024), provide the combinatorial framework for the Central Limit Theorem for probability measures arising fro…
Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures
Alisa Knizel, Leonid Petrov
We investigate the asymptotic behavior of the q-Racah probability measure on lozenge tilings of a hexagon whose side lengths scale linearly with a large parameter , while the pa…
Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions
Alexey Bufetov, Leonid Petrov, Panagiotis Zografos
We study the asymptotic behavior of random domino tilings of the Aztec diamond of size in a random environment, where the environment is a one-periodic sequence of i.i.d. rando…
Colored Interacting Particle Systems on the Ring: Stationary Measures from Yang-Baxter Equation
Amol Aggarwal, Matthew Nicoletti, Leonid Petrov
Recently, there has been much progress in understanding stationary measures for colored (also called multi-species or multi-type) interacting particle systems, motivated by asympto…
Grothendieck Shenanigans: Permutons from pipe dreams via integrable probability
Alejandro H. Morales, Greta Panova, Leonid Petrov +1
We study random permutations arising from reduced pipe dreams. Our main model is motivated by Grothendieck polynomials with parameter arising in K-theory of the flag variety…