75 citations · 180 across the 21 of their papers we have counts for
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Free Fermion Six Vertex Model: Symmetric Functions and Random Domino Tilings
Amol Aggarwal, Alexei Borodin, Leonid Petrov +1
Our work deals with symmetric rational functions and probabilistic models based on the fully inhomogeneous six vertex (ice type) model satisfying the free fermion condition. Two fa…
Deformed Polynuclear Growth in Dimensions
Amol Aggarwal, Alexei Borodin, Michael Wheeler
We introduce and study a one parameter deformation of the polynuclear growth (PNG) in -dimensions, which we call the -PNG model. It is defined by requiring that, when two…
Edge Statistics for Lozenge Tilings of Polygons, II: Airy Line Ensemble
Amol Aggarwal, Jiaoyang Huang
We consider uniformly random lozenge tilings of simply connected polygons subject to a technical assumption on their limit shape. We show that the edge statistics around any point…
Gaussian Unitary Ensemble in random lozenge tilings
Amol Aggarwal, Vadim Gorin
This paper establishes a universality result for scaling limits of uniformly random lozenge tilings of large domains. We prove that whenever a boundary of the domain has three adja…
Colored Fermionic Vertex Models and Symmetric Functions
Amol Aggarwal, Alexei Borodin, Michael Wheeler
In this text we introduce and analyze families of symmetric functions arising as partition functions for colored fermionic vertex models associated with the quantized affine Lie su…