Project Leader - Rényi Institute
László Lovász (born March 9, 1948) is a Hungarian-American mathematician and professor emeritus at Eötvös Loránd University, best known for his work in combinatorics, for which he was awarded the 2021 Abel Prize jointly with Avi Wigderson.
Principal Investigator - CEU
Albert-László Barabási is a network scientist, fascinated with a wide range of topics, from unveiling the structure of the brain to treating diseases using network medicine, from the emergence of success in art to how does science really works.
Principal Investigator - CUNI
Jaroslav (Jarik) Nešetřil (born March 13, 1946 in Brno) is a Czech mathematician, working at Charles University in Prague. His research areas include combinatorics, graph theory, algebra, posets, and computer science.
Researcher - CEU
I am Postdoc working on physical networks under the supervision of Márton Pósfai. Currently studying growth models for linear physical networks in which edges are non-intersecting straight segments.
Researcher - CEU
I am a PhD student, with thesis research on reference models of physical networks, ways to describe them and their robustness property.
Researcher - Rényi
My goal is to approximate various graph parameters and graph polynomials in sparse large graphs.
Researcher - CUNI
Samuel Braunfeld is a postdoctoral researcher at Charles University, working on model theory and combinatorics. He studies the model-theoretic complexity of infinite structures, such as graphs, and how that is reflected in the complexity of large finite structures. Additionally, he works on Fraisse theory and structural Ramsey theory.
Researcher - CUNI
In DYNASNET I focus on modeling collective adaptive systems and approximating their decisions using neural networks as well as network control and assemblies.
Researcher - Rényi
My research focuses on the epidemic spreading on geometric and real-world metapopulation networks. I'm interested in understanding what role the different parts of the network play in an epidemic, and how the initial seed distribution influences the speed and the final size of the epidemic.
Researcher - Rényi
I study analogues of expander and hyperfinite graph sequences in the context of directed acyclic graphs, which we call "extender" and "hypershallow" graph sequences, respectively
Researcher - CUNI
I worked on study of sparse classes and particularly on sublinear separators for DYNASNET
Researcher - Rényi
Panna Fekete is writing her PhD while working with Dávid Kunszenti-Kovács.
Researcher - Rényi
I work on improving the known bounds on the independence ratio of random regular graphs of small degree, using methods in statistical physics and graph convergence
Researcher - Rényi
I work on graph limits of sequences of intermediate density
In spring 2022, I was helping to run the summer school Mathematics of Large Networks, organised by Márton Karsai, János Kertész, László Lovász, and Balázs Rath, as well as the summer school Graphs, Groups, Stochastic Processes that both took place in the Erdős Center within the semester of Large Networks and their Limits.
Researcher - CUNI
I work on Ramsey Theory in the metric problems, Fraisse theory, particularly on big Ramsey degrees.
Researcher - CEU
Our goal is to understand a switchover phenomenon of the infected population induced by different seeding scenarios of epidemics in geometric metapopulation networks.
Researcher - CEU
I participate in the DYNASNET project on physical networks, working on the topic of physical networks: computer modelling, dynamics ranking, family models, epidemic spreading.
Researcher - CUNI
I work on Ramsey Theory in the metric problems, and recently on physical networks.
Researcher - Rényi
I study various questions within graph limit theory - partial computability, alternative description of graphexes for the project of DYNASNET.
Researcher - Rényi
I study connections between extremal hypergraph theory and its application to large scale networks. I work with Márton Karsai and Domonkos Czifra on epidemic spreading, focusing on vertex-weight and edge-weight distribution.
Researcher - Rényi
I analyze the asymptotic properties of randomly growing and preferential networks.
Researcher - CUNI
Regarding DYNANSET I work on limit structures for sparse classes, local vs. global parameter and model theoretic aspects of combinatorics
Researcher - CEU
I study physical networks - networks where nodes and links are physical objects embedded in three-dimensional space.
Researcher - Rényi
The fine line between predictable and unpredictable behaviour of recursive tree process on the marked binary branching tree (in particular, the so-called frozen percolation model).
Researcher - CUNI
I work on study of classes which are minor closed and on universality.
Researcher - Rényi
I study the spread of information, in particular, the behavior of epidemic on large networks, using a mixture of mean field and sparse network models
Researcher - Rényi
I study properties and invariants of physical networks, including new, physical analogues of the Erdos-Renyi and preferential attachment models. And work with Dávid Kunszenti-Kovács on various questions within graph limit theory.
Researcher - Rényi
I am studying optimal transport related geometric properties of Markov processes with a particular emphasis on the Ollivier-Ricci curvature of graph limits.
Researcher - Rényi
Vilas Winstein is a student researcher studying sparse graph limits and his research focuses on spectral problems about graphings.
Researcher - CEU
Manran Zhu is a PhD student at CEU and works on the problem of navigation on knowledge graphs with the methods of graph embedding and clustering of paths.