2×2 Periodic Dimer Partition Functions     domino-tilings

Leonid Petrov


Simulation Info

2×2 Periodic Dimer Partition Functions     domino-tilings

Leonid Petrov

Interactive tool for computing Schur-type polynomials by enumerating Gelfand-Tsetlin patterns. Fix a partition lambda at level k and enumerate all valid interlacing sequences of partitions from the empty partition up to lambda, alternating vertical and horizontal strips. The weighted sum over configurations gives a polynomial in variables x_i and y_i.

(parts ≤ k)

code

(note: parameters in the code might differ from the ones in simulation results below)

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 (opens in new tab)). 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
This material is based upon work supported by the National Science Foundation under Grant DMS-2153869