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math.GT2026
Minima of geodeics length functions for non-uniform filling
Subash Chandra Behera, Shiv Parsad
Kerckhoff proved that the geodesic length function of a filling on attains a unique minimum in Teichmüller space. Recent work of Ernesto Girondo et al. comput…
math.GT2025
Some analogues of isoperimetric inequality
Subash Chandra Behera, Shiv Parsad
The discrete isoperimetric inequality states that among all n -gons with a fixed area, the regular n -gon has the least perimeter. We prove analogues of the discrete isoperimetric…