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Statistical Mechanics on the Random Locally Tree-like Layered Lattice

KULKARNI, SUMAN SATISH (2021-06)

This thesis defines a variation of a regular random graph called the Random Locally Tree-like Layered Lattice (RLTL). Such lattices are of interest because the Bethe approximation becomes asymptotically exact on them. ...
Statistics of worMS and overlap loops in square lattice dimer model

RAJ, ANOOP (2021-09)

In this thesis, we discuss the non-intersecting loops formed by super-posing two random dimer configurations and how these are similar to contour lines of random gaussian surfaces. We specifically use a fully packed dimer ...
Exact Calculations of Non-Local Quantities in a Loop Model

PATIL, RUSHIKESH ANIL (2022-05)

A double dimer model is obtained via superposition of two dimer models. It is essentially a fully packed loop model allowing doubled edges in addition to nontrivial loops. We use quaternion determinants \cite{kenyon2012conformal} ...

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