Simulations and other computational tools

Visualizations, data, source code

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• Bibliography (.bbl) Sorting Tool 2025-07-12 Misc
• RSK for Permutations 2025-07-07 Permutations
• Permutation from a given shape via inverse RSK 2025-07-07 Permutations
• Random SYT via Hook Walk 2025-07-07 Permutations
• Pascal's Triangle - Divisibility Patterns 2025-06-25 Misc
• Domino tilings of the Aztec diamond with random one-periodic edge weights 2025-06-25 Dominos
• 3D q-volume lozenge tilings visualization 2025-06-08 Lozenges
• Shuffling algorithm for q-volume lozenge tilings of the hexagon 2025-06-02 Lozenges
• Double dimer covering 2025-05-27 Dominos
• Domino tilings with random Bernoulli Weights, Glauber Dynamics, and Height Graph 2025-05-22 Dominos
• Domino tilings with random Bernoulli Weights and Glauber Dynamics 2025-05-09 Dominos
• Young diagrams of (very close to) maximal dimension 2025-05-04 Misc
• Glauber Dynamics on Domino tilings with 2x2 periodic weights 2025-04-21 Dominos
• Domino tilings of the Aztec diamond with 3x3 periodic weights 2025-04-18 Dominos
• 3D Visualization of 3x3 periodic Domino Tilings of the Aztec Diamond 2025-04-18 Dominos
• 3D Visualization of Uniform Domino Tilings of the Aztec Diamond 2025-04-17 Dominos
• 3D t-embedding of an Aztec diamond graph (doubly periodic case) 2025-03-28 Dominos
• Corner processes with unitary invariance and outliers 2025-03-27 Random Matrices
• t-embedding of an Aztec diamond graph and origami map 2025-03-27 Dominos
• Branching of Fibonacci Words 2025-03-12 Misc
• Collatz Sequence Visualization 2025-02-27 Misc
• Corner eigenvalues of GOEs and orthogonally invariant random matrices with fixed spectrum 2025-02-04 Random Matrices
• Domino tilings of the Aztec diamond with 2x2 periodic weights 2025-02-03 Dominos
• Domino tilings of the Aztec diamond 2025-02-02 Dominos
• Random Matrix Eigenvalues (Multiple Distributions) 2025-01-29 Random Matrices
• GOE eigenvalues 2025-01-28 Random Matrices
• BBP transition 2025-01-28 Random Matrices
• Grothendieck shenanigans - simulation of random permutations from staircase reduced word 2025-01-26 Permutations
• Simulation of random permutations from arbitrary reduced words (EXPERIMENTAL) 2025-01-26 Permutations
• Holey hexagons with holes at different heights 2021-04-26 Lozenges
• Backwards evolution of TASEP 2019-06-26 TASEPs
• Mirroring deterministic dynamics on q-vol lozenge tilings inverting the parameter q 2019-05-02 Lozenges
• Dynamics on q-vol lozenge tilings inverting the parameter q 2019-04-30 Lozenges
• Doubly geometric corner growth model 2018-05-22 TASEPs
• Continuous space TASEP 2018-05-13 TASEPs
• PushTASEP in inhomogeneous space and its limit shape 2018-02-11 TASEPs
• Inhomogeneous space PushTASEP and its multilayer extension via column RSK 2017-12-31 TASEPs
• Inhomogeneous space PushTASEP and its new multilayer version 2017-12-15 TASEPs

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