S. Sen

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math.PR2026

Geometry of critical discrete structures: long-range percolation on the hierarchical lattice and the discrete torus

Arghyadeep Chatterjee, Sourish Maniyar, Sanchayan Sen

Consider (a) balls $I^_{n}$ of growing volumes in the $d$ -dimensional hierarchical lattice, and (b) the $d$ -dimensional discrete torus $T_{n}^{d}$ on $n^{d}$ vertices. Place edges…

math.PR2024

Scaling limits and universality: Critical percolation on weighted graphs converging to an $L^{3}$ graphon

Jnaneshwar Baslingker, Shankar Bhamidi, Nicolas Broutin +2

We develop a general universality technique for establishing metric scaling limits of critical random discrete structures exhibiting mean-field behavior that requires four ingredie…

Geometry of critical discrete structures: long-range percolation on the hierarchical lattice and the discrete torus

Scaling limits and universality: Critical percolation on weighted graphs converging to an L3 graphon

Scaling limits and universality: Critical percolation on weighted graphs converging to an $L^{3}$ graphon