10-12 June 2025
BITP & Zoom
Europe/Kiev timezone

Statistical model of dimers and counting of boxes

11 Jun 2025, 17:40
20m
BITP & Zoom

BITP & Zoom

14b Metrolohichna str., Kyiv, Ukraine & Online
Oral talk Mathematical Physics Mathematical Physics

Speaker

Mykola Semenyakin (Perimeter Institute for Theoretical Physics)

Description

The statistical models of dimers belong to the class of so-called free fermionic exactly solvable models. This means, that every correlation function of local operators in this model can be computed by determinant of some matrix, and, moreover, can be expressed using only two-point functions, i.e. the Wick's contraction formula is satisfied. Many other models of statistical physics can be mapped onto certain models of dimers. In my talk I will explain how the counting of 3d Young diagrams (or boxes in the corner) can be mapped onto model of dimers, and how this boxcounting can be generalized in intriguing ways.

Primary author

Mykola Semenyakin (Perimeter Institute for Theoretical Physics)

Presentation Materials

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