Paper

Unifying network connectivity from geodesics to random walks via the random cluster model

Connectivity is a fundamental concept in network science, characterizing how interactions propagate through indirect pathways. While numerous connectivity metrics exist, such as …

xiangyi-meng
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Approximation for return time distributions of random walks on sparse networks

We propose an approximation for the first return time distribution of random walks on undirected networks. We combine a message-passing solution with a mean-field approximation to …

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Dr. Erik Hormann
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Cozzarelli Prize Optical computation of a spin glass dynamics with tunable complexity featured image

Optical computation of a spin glass dynamics with tunable complexity

Spin glasses (SGs) are paradigmatic models for physical, computer science, biological, and social systems. The problem of studying the dynamics for SG models is nondetermistic …

marco-leonetti
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Cozzarelli Prize Coarse-graining Directed Networks with Ergodic Sets Preserving Diffusive Dynamics featured image

Coarse-graining Directed Networks with Ergodic Sets Preserving Diffusive Dynamics

In this paper, we introduce ergodic sets, subsets of nodes of the networks that are dynamically disjoint from the rest of the network (i.e. that can never be reached or left …

marco-leonetti
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