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math.PR2026
Counting domino and lozenge tilings of reduced domains with Padé-type approximants
Christophe Charlier, Tom Claeys
We introduce a new method for studying gap probabilities in a class of discrete determinantal point processes with double contour integral kernels. This class of point processes in…
math.PR2026
Asymptotics for the number of domino tilings of L-shaped Aztec domains
Christophe Charlier, Tom Claeys
We obtain precise asymptotics for the weighted number of domino tilings of an L-shaped subset of the Aztec diamond, obtained by removing an approximate rectangle in a corner of the…
math.PR2025
Precise large deviations in geometric last passage percolation
Sung-Soo Byun, Christophe Charlier, Philippe Moreillon +1
We study the last passage time in geometric last passage percolation (LPP). As the system size increases, we derive precise large deviation probabilities -- up to and including the…