Applied Mathematics
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The theory of percolation on hypergraphs
(American Physical Society, 2024-01-17) -
Nature of hypergraph k -core percolation problems
(American Physical Society, 2024-01-17)Hypergraphs are higher-order networks that capture the interactions between two or more nodes. Hypergraphs can always be represented by factor graphs, i.e., bipartite networks between nodes and factor nodes (representing ... -
Modeling teams performance using deep representational learning on graphs
<jats:title>Abstract</jats:title><jats:p>Most human activities require collaborations within and across formal or informal teams. Our understanding of how the collaborative efforts spent by teams relate to their performance ... -
Transition to anomalous dynamics in a simple random map
(American Institute of Physics, 2024-02-20)The famous doubling map (or dyadic transformation) is perhaps the simplest deterministic dynamical system exhibiting chaotic dynamics. It is a piecewise linear time-discrete map on the unit interval with a uniform slope ... -
Stalled response near thermal equilibrium in periodically driven systems.
(2024-01-04)The question of how systems respond to perturbations is ubiquitous in physics. Predicting this response for large classes of systems becomes particularly challenging if many degrees of freedom are involved and linear ... -
Higher-order simplicial synchronization of coupled topological signals
(Nature Research, 2021-06-07)Simplicial complexes capture the underlying network topology and geometry of complex systems ranging from the brain to social networks. Here we show that algebraic topology is a fundamental tool to capture the higher-order ... -
Network Geometry and Complexity
(Springer Verlag, 2018-07-18)Higher order networks are able to characterize data as different as functional brain networks, protein interaction networks and social networks beyond the framework of pairwise interactions. Most notably higher order ... -
Complex Network Geometry and Frustrated Synchronization
(2018-07-02) -
Dense power-law networks and simplicial complexes
(2018-05-10) -
Editorial: Golden Oldies criteria and procedures
(2017-03) -
Cartan invariants and event horizon detection
(2018-04) -
Nonlinear rotations on a lattice
(2018) -
Visibility graphs and symbolic dynamics
(2018-07-01) -
Complex network view of evolving manifolds
(2018-03-27) -
Rare events and discontinuous percolation transitions
(2018-02-23)