Simulations and other computational tools

Visualizations, data, source code

Hand-colored double dimer configuration on a hexagonal region — A hand-colored double dimer configuration

Draw and tile by lozenges

Draw and tile by dominoes

Aztec diamond shuffling

Aztec t-embeddings

Draw and tile by lozenges

Draw and tile by dominoes

Aztec diamond shuffling

Aztec t-embeddings

Pipe Dreams in a Rectangle 2026-01-07
CFTP Sampling of q-Weighted Partitions (General Boundary) 2026-01-04
CFTP Sampling of q-Weighted Partitions 2025-12-28
Permutation from a given shape via inverse RSK (v2) 2025-12-17
T-embeddings of the Aztec diamond with arbitrary weights 2025-12-11
Triangular Lattice Dimer Sampler 2025-12-08
q-Whittaker Domino Shuffling 2025-12-07
Ultimate Domino Tiling Generator - Draw Any Region 2025-12-05
q-RSK Sampling of Domino Tilings of the Aztec Diamond 2025-12-04
Schur process weights for the Aztec Diamond 2025-12-03
Ultimate Lozenge Tiling Generator - Draw Any Region 2025-11-28
Glauber dynamics for lozenge tilings of a C2 region 2025-11-28
Coupling from the past for lozenge tilings of a C2 region 2025-11-28
q-Racah weighted Glauber dynamics for lozenge tilings of a cutout region 2025-11-26
Glauber dynamics for lozenge tilings of a cutout region 2025-11-26
Stochastic Colored Six-Vertex Model 2025-11-25
The Gamma-disordered Aztec Diamond 2025-11-18
One-dimensional Voter Model 2025-08-29
3D Twenty-Vertex Model Simulation 2025-08-29
Colored discretized t-PNG Model (Stochastic Colored Rule 54) 2025-08-26
Discretized t-PNG (Stochastic Rule 54) 2025-08-25
Bibliography (.bbl) Sorting Tool 2025-07-12
RSK for Permutations 2025-07-07
Random SYT via Hook Walk 2025-07-07
Pascal's Triangle - Divisibility Patterns 2025-06-25
Domino tilings of the Aztec diamond with random one-periodic edge weights 2025-06-25
3D q-volume and q-Racah lozenge tilings visualization 2025-06-08
Shuffling algorithm for q-volume lozenge tilings of the hexagon 2025-06-02
Double dimer covering 2025-05-27
Domino tilings with random Bernoulli Weights, Glauber Dynamics, and Height Graph 2025-05-22
Domino tilings with random Bernoulli Weights and Glauber Dynamics 2025-05-09
Young diagrams of (very close to) maximal dimension 2025-05-04
Glauber Dynamics on Domino tilings with 2x2 periodic weights 2025-04-21
Domino tilings of the Aztec diamond with 3x3 periodic weights 2025-04-18
3D Visualization of 3x3 periodic Domino Tilings of the Aztec Diamond 2025-04-18
3D Visualization of Uniform Domino Tilings of the Aztec Diamond 2025-04-17
3D t-embedding of an Aztec diamond graph (doubly periodic case) 2025-03-28
Corner processes with unitary invariance and outliers 2025-03-27
t-embedding of an Aztec diamond graph and origami map 2025-03-27
Branching of Fibonacci Words 2025-03-12
Collatz Sequence Visualization 2025-02-27
Corner eigenvalues of GOEs and orthogonally invariant random matrices with fixed spectrum 2025-02-04
Domino tilings of the Aztec diamond with 2x2 periodic weights 2025-02-03
Domino tilings of the Aztec diamond 2025-02-02
Random Matrix Eigenvalues (Multiple Distributions) 2025-01-29
GOE eigenvalues 2025-01-28
BBP transition 2025-01-28
Grothendieck shenanigans - simulation of random permutations from staircase reduced word 2025-01-26
Simulation of random permutations from arbitrary reduced words (EXPERIMENTAL) 2025-01-26
Holey hexagons with holes at different heights 2021-04-26
Backwards evolution of TASEP 2019-06-26
Mirroring deterministic dynamics on q-vol lozenge tilings inverting the parameter q 2019-05-02
Dynamics on q-vol lozenge tilings inverting the parameter q 2019-04-30
Doubly geometric corner growth model 2018-05-22
Continuous space TASEP 2018-05-13
PushTASEP in inhomogeneous space and its limit shape 2018-02-11
Inhomogeneous space PushTASEP and its multilayer extension via column RSK 2017-12-31
Inhomogeneous space PushTASEP and its new multilayer version 2017-12-15

Dear colleagues:

Feel free to use code (unless otherwise specified next to the corresponding link), data, and visualizations to illustrate your research in talks and papers, with attribution (CC BY-SA 4.0). Some images are available in very high resolution upon request. I can also produce other simulations upon request - email me at lenia.petrov@gmail.com