5 citations · 12 across the 5 of their papers we have counts for
12 papers
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 of growing volumes in the -dimensional hierarchical lattice, and (b) the -dimensional discrete torus on vertices. Place edges…
Scaling limits and universality: Critical percolation on weighted graphs converging to an 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 the minimal spanning tree in the heavy-tailed regime: new universality classes
Shankar Bhamidi, Sanchayan Sen
A well-known open problem on the behavior of optimal paths in random graphs in the strong disorder regime, formulated by statistical physicists, and supported by a large amount of…
Global lower mass-bound for critical configuration models in the heavy-tailed regime
Shankar Bhamidi, Souvik Dhara, Remco van der Hofstad +1
We establish the global lower mass-bound property for the largest connected components in the critical window for the configuration model when the degree distribution has an infini…
On breadth-first constructions of scaling limits of random graphs and random unicellular maps
Grégory Miermont, Sanchayan Sen
We give alternate constructions of (i) the scaling limit of the uniform connected graphs with given fixed surplus, and (ii) the continuum random unicellular map (CRUM) of a given g…
Geometry of the minimal spanning tree of a random -regular graph
Louigi Addario-Berry, Sanchayan Sen
The global structure of the minimal spanning tree (MST) is expected to be universal for a large class of underlying random discrete structures. However, very little is known about…