Research interests
Probabilistic, statistical and algorithmic aspects of random graphs and complex networks. Behaviour of optimization problems and dynamics on them.
Research interests
Probabilistic, statistical and algorithmic aspects of random graphs and complex networks. Behaviour of optimization problems and dynamics on them.
Estimating Community Boundaries in Geometric Random Graphs, with Taha Ameen. (submitted) [arxiv]
Finding Adam in noisy trees, with Luc Devroye and Gábor Lugosi. (submitted) [arxiv]
Multipartite random graphs with given degrees: local limit, revisiting the giant, distances. (submitted) [arxiv]
Algorithmic Phase Transition for Large Independent Sets in Dense Hypergraphs, with Abhishek Dhawan, Nhi U. Dinh*, Eren C. Kızıldağ, Bayram A. Şahin. Extended abstract to appear at RANDOM 2026. [arxiv]
On exponentially height-penalized random trees, with Louigi Addario-Berry, Benoît Corsini and Meltem Ünel. (submitted) [arxiv]
Evolution of recursive trees with limited memory, with Omer Angel, Shankar Bhamidi, Serte Donderwinkel and Akshay Sakanaveeti. (submitted) [arxiv]
On random bipartite graphs evolving by degrees. (submitted) [arxiv]
Sharp Online Hardness for Large Balanced Independent Sets, with Abhishek Dhawan and Eren C. Kızıldağ. (submitted) [arxiv]
Annealed Potts models on Rank-1 inhomogeneous random graphs, with Cristian Giardinà, Claudio Giberti, Remco van der Hofstad and Guido Janssen. (submitted) [arxiv]
Condensation in scale-free geometric graphs with excess edges, with Remco van der Hofstad, Pim van der Hoorn, Céline Kerriou and Peter Mörters. Annals of Applied Probability, 2026 [arxiv] [journal]
Long-range competition on the torus, with Bas Lodewijks. (to appear in Annals of Applied Probability) [arxiv] [talk video (at BIRS-CMI workshop on network models, December 2024, Chennai)]
See also Bas' webpage for a nice simulation
Scaling of the Clustering Function in Spatial Inhomogeneous Random Graphs, with Remco van der Hofstad and Pim van der Hoorn. Journal of Statistical Physics, 2023 [arxiv] [journal]
Local limits of Spatial Inhomogeneous Random Graphs, with Remco van der Hofstad and Pim van der Hoorn. Advances in Applied Probability, 2023 [arxiv] [journal]
Coauthors: Taha Ameen, Omer Angel, Louigi Addario-Berry, Shankar Bhamidi, Benoît Corsini, Luc Devroye, Abhishek Dhawan, Nhi U. Dinh, Serte Donderwinkel, Cristian Giardinà, Claudio Giberti, Remco van der Hofstad, Pim van der Hoorn, Guido Janssen, Céline Kerriou, Eren C. Kızıldağ, Bas Lodewijks, Gábor Lugosi, Peter Mörters, Bayram A. Şahin, Akshay Sakanaveeti, Meltem Ünel.