35 citations · 38 across the 8 of their papers we have counts for
8 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 Blitvić, 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…
Hook-length Formulas for Skew Shapes via Contour Integrals and Vertex Models
Greta Panova, Leonid Petrov
The number of standard Young tableaux of a skew shape can be computed as a sum over excited diagrams inside . Excited diagrams are in bijection with certain lozenge tiling…
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.…
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…
Lectures on Integrable probability: Stochastic vertex models and symmetric functions
Alexei Borodin, Leonid Petrov
We consider a homogeneous stochastic higher spin six vertex model in a quadrant. For this model we derive concise integral representations for multi-point q-moments of the height f…