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Dive into the research topics where Sanchayan Sen is active.

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Featured researches published by Sanchayan Sen.


Probability Theory and Related Fields | 2018

The multiplicative coalescent, inhomogeneous continuum random trees, and new universality classes for critical random graphs

Shankar Bhamidi; Remco van der Hofstad; Sanchayan Sen

AbstractOne major open conjecture in the area of critical random graphs, formulated by statistical physicists, and supported by a large amount of numerical evidence over the last decade (Braunstein et al. in Phys Rev Lett 91(16):168701, 2003; Wu et al. in Phys Rev Lett 96(14):148702, 2006; Braunstein et al. Int J Bifurc Chaos 17(07):2215–2255, 2007; Chen et al. in Phys Rev Lett 96(6):068702, 2006) is as follows: for a wide array of random graph models with degree exponent


arXiv: Probability | 2014

Scaling limits of random graph models at criticality: Universality and the basin of attraction of the Erdős-Rényi random graph

Shankar Bhamidi; Nicolas Broutin; Sanchayan Sen; Xuan Wang


Electronic Journal of Probability | 2017

Critical window for the configuration model: finite third moment degrees

S Souvik Dhara; Remco van der Hofstad; Jsh Johan van Leeuwaarden; Sanchayan Sen

\tau \in (3,4)


arXiv: Probability | 2016

Heavy-tailed configuration models at criticality

S Souvik Dhara; van der Rw Remco Hofstad; van Jsh Johan Leeuwaarden; Sanchayan Sen


arXiv: Probability | 2017

Universality for critical heavy-tailed network models : metric structure of maximal components

Shankar Bhamidi; S Souvik Dhara; Remco van der Hofstad; Sanchayan Sen

τ∈(3,4), distances between typical points both within maximal components in the critical regime as well as on the minimal spanning tree on the giant component in the supercritical regime scale like


arXiv: Probability | 2016

Geometry of the vacant set left by random walk on random graphs, Wright's constants, and critical random graphs with prescribed degrees

Shankar Bhamidi; Sanchayan Sen


arXiv: Probability | 2017

A probabilistic approach to the leader problem in random graphs

Louigi Addario-Berry; Shankar Bhamidi; Sanchayan Sen

n^{(\tau -3)/(\tau -1)}


arXiv: Probability | 2018

Geometry of the minimal spanning tree of a random

Louigi Addario-Berry; Sanchayan Sen


Indian Journal of Pure & Applied Mathematics | 2017

3

Shankar Bhamidi; Amarjit Budhiraja; Sanchayan Sen

n(τ-3)/(τ-1). In this paper we study the metric space structure of maximal components of the multiplicative coalescent, in the regime where the sizes converge to excursions of Lévy processes “without replacement” (Aldous and Limic Electron in J Probab 3(3):59, 1998), yielding a completely new class of limiting random metric spaces. A by-product of the analysis yields the continuum scaling limit of one fundamental class of random graph models with degree exponent


Archive | 2016

-regular graph

S Souvik Dhara; Remco van der Hofstad; Johan S. H. van Leeuwaarden; Sanchayan Sen

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Shankar Bhamidi

University of North Carolina at Chapel Hill

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S Souvik Dhara

Eindhoven University of Technology

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Remco van der Hofstad

Eindhoven University of Technology

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Amarjit Budhiraja

University of North Carolina at Chapel Hill

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Xuan Wang

University of North Carolina at Chapel Hill

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J.S.H. van Leeuwaarden

Eindhoven University of Technology

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Johan S. H. van Leeuwaarden

Eindhoven University of Technology

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Jsh Johan van Leeuwaarden

Eindhoven University of Technology

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R.W. van der Hofstad

Eindhoven University of Technology

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