Outputs (15)

GOE fluctuations for the maximum of the top path in alternating sign matrices (2023)
Journal Article
Ayyer, A., Chhita, S., & Johansson, K. (2023). GOE fluctuations for the maximum of the top path in alternating sign matrices. Duke Mathematical Journal, 172(10), 1961-2104. https://doi.org/10.1215/00127094-2022-0075

The six-vertex model is an important toy-model in statistical mechanics for two-dimensional ice with a natural parameter ∆. When ∆ = 0, the so-called free-fermion point, the model is in natural correspondence with domino tilings of the Aztec diamond.... Read More about GOE fluctuations for the maximum of the top path in alternating sign matrices.

On the domino shuffle and matrix refactorizations (2023)
Journal Article
Chhita, S., & Duits, M. (2023). On the domino shuffle and matrix refactorizations. Communications in Mathematical Physics, 401(2), 1417-1467. https://doi.org/10.1007/s00220-023-04676-y

This paper is motivated by computing correlations for domino tilings of the Aztec diamond. It is inspired by two of the three distinct methods that have recently been used in the simplest case of a doubly periodic weighting, that is, the two-periodic... Read More about On the domino shuffle and matrix refactorizations.

Local geometry of the rough-smooth interface in the two-periodic Aztec diamond (2021)
Journal Article
Beffara, V., Chhita, S., & Johansson, K. (2022). Local geometry of the rough-smooth interface in the two-periodic Aztec diamond. Annals of Applied Probability, 32(2), 974-1017. https://doi.org/10.1214/21-aap1701

Random tilings of the two-periodic Aztec diamond contain three macroscopic regions: frozen, where the tilings are deterministic; rough, where the correlations between dominoes decay polynomially; smooth, where the correlations between dominoes decay... Read More about Local geometry of the rough-smooth interface in the two-periodic Aztec diamond.

Correlations in totally symmetric self-complementary plane partitions (2021)
Journal Article
Ayyer, A., & Chhita, S. (2021). Correlations in totally symmetric self-complementary plane partitions. Transactions of the London Mathematical Society, 8(1), 493-526. https://doi.org/10.1112/tlm3.12039

Totally symmetric self-complementary plane partitions (TSSCPPs) are boxed plane partitions with the maximum possible symmetry. We use the well-known representation of TSSCPPs as a dimer model on a honeycomb graph enclosed in one-twelfth of a hexagon... Read More about Correlations in totally symmetric self-complementary plane partitions.

The domino shuffling algorithm and Anisotropic KPZ stochastic growth (2020)
Journal Article
Chhita, S., & Toninelli, F. L. (2021). The domino shuffling algorithm and Anisotropic KPZ stochastic growth. Annales Henri Lebesgue, 4, 1005-1034. https://doi.org/10.5802/ahl.95

The domino-shuffling algorithm [EKLP92a, EKLP92b, Pro03] can be seen as a stochastic process describing the irreversible growth of a (2+1)-dimensional discrete interface [CT19, Zha18]. Its stationary speed of growth 𝑣𝚠(𝜌) depends on the average inter... Read More about The domino shuffling algorithm and Anisotropic KPZ stochastic growth.

Speed and fluctuations for some driven dimer models (2019)
Journal Article
Chhita, S., Ferrari, P., & Toninelli, F. (2019). Speed and fluctuations for some driven dimer models. Annales de l’Institut Henri Poincaré D, 6(4), 489-532. https://doi.org/10.4171/aihpd/77

We consider driven dimer models on the square and honeycomb graphs, starting from a stationary Gibbs measure. Each model can be thought of as a two dimensional stochastic growth model of an interface, belonging to the anisotropic KPZ universality cla... Read More about Speed and fluctuations for some driven dimer models.

A (2 + 1)-dimensional anisotropic KPZ growth model with a smooth phase (2019)
Journal Article
Chhita, S., & Toninelli, F. L. (2019). A (2 + 1)-dimensional anisotropic KPZ growth model with a smooth phase. Communications in Mathematical Physics, 367(2), 483-516. https://doi.org/10.1007/s00220-019-03402-x

Stochastic growth processes in dimension (2+1) were conjectured by D. Wolf, on the basis of renormalization-group arguments, to fall into two distinct universality classes, according to whether the Hessian Hρ of the speed of growth v(ρ) as a function... Read More about A (2 + 1)-dimensional anisotropic KPZ growth model with a smooth phase.

Airy Point Process at the liquid-gas boundary (2018)
Journal Article
Beffara, V., Chhita, S., & Johansson, K. (2018). Airy Point Process at the liquid-gas boundary. Annals of Probability, 46(5), 2973-3013. https://doi.org/10.1214/17-aop1244

Domino tilings of the two-periodic Aztec diamond feature all of the three possible types of phases of random tiling models. These phases are determined by the decay of correlations between dominoes and are generally known as solid, liquid and gas. Th... Read More about Airy Point Process at the liquid-gas boundary.

Limit distributions for KPZ growth models with spatially homogeneous random initial conditions (2018)
Journal Article
Chhita, S., Ferrari, P. L., & Spohn, H. (2018). Limit distributions for KPZ growth models with spatially homogeneous random initial conditions. Annals of Applied Probability, 28(3), 1573-1603. https://doi.org/10.1214/17-aap1338

For stationary KPZ growth in 1+1 dimensions, the height fluctuations are governed by the Baik–Rains distribution. Using the totally asymmetric single step growth model, alias TASEP, we investigate height fluctuations for a general class of spatially... Read More about Limit distributions for KPZ growth models with spatially homogeneous random initial conditions.

A combinatorial identity for the speed of growth in an anisotropic KPZ model (2017)
Journal Article
Chhita, S., & Ferrari, P. L. (2017). A combinatorial identity for the speed of growth in an anisotropic KPZ model. Annales de l’Institut Henri Poincaré D, 4(4), 453-477. https://doi.org/10.4171/aihpd/45

The speed of growth for a particular stochastic growth model introduced by Borodin and Ferrari in [5], which belongs to the KPZ anisotropic universality class, was computed using multi-time correlations. The model was recently generalized by Toninell... Read More about A combinatorial identity for the speed of growth in an anisotropic KPZ model.