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20032023
most citedSandpile on Scale-Free Networks

256 citations · 1.1k across the 28 of their papers we have counts for

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Showing cond-mat.stat-mechShow all

14 papers · 1 filter

cond-mat.stat-mech2023★ 20 cited

-core decomposition of hypergraphs

Jongshin Lee, Kwang-Il Goh, Deok-Sun Lee +1

In complex networks, many elements interact with each other in different ways. A hypergraph is a network in which group interactions occur among more than two elements. In this stu…

cond-mat.stat-mech2019★ 41 cited

Interevent time distribution, burst, and hybrid percolation transition

Jinha Park, Sudo Yi, K. Choi +2

Critical phenomena of a second-order percolation transition are known to be independent of cluster merging or pruning process. However, those of a hybrid percolation transition (HP…

cond-mat.stat-mech2019★ 1 cited

Entropy production and fluctuation theorems on complex networks

Jaewoo Jung, Jaegon Um, Deokjae Lee +4

Entropy production (EP) is known as a fundamental quantity for measuring the irreversibility of processes in thermal equilibrium and states far from equilibrium. In stochastic ther…

cond-mat.stat-mech2017★ 10 cited

Critical phenomena of a hybrid phase transition in cluster merging dynamics

K. Choi, Deokjae Lee, Y. S. Cho +3

Recently, a hybrid percolation transitions (HPT) that exhibits both a discontinuous transition and critical behavior at the same transition point has been observed in diverse compl…

cond-mat.stat-mech2017★ 13 cited

Critical behavior of a two-step contagion model with multiple seeds

Wonjun Choi, Deokjae Lee, B. Kahng

A two-step contagion model with a single seed serves as a cornerstone for understanding the critical behaviors and underlying mechanism of discontinuous percolation transitions ind…

cond-mat.stat-mech2016★ 33 cited

Diverse types of percolation transitions

Deokjae Lee, Young Sul Cho, Byungnam Kahng

Percolation has long served as a model for diverse phenomena and systems. The percolation transition, that is, the formation of a giant cluster on a macroscopic scale, is known as…

cond-mat.stat-mech2016★ 31 cited

Critical behavior of -core percolation: Numerical studies

Deokjae Lee, Minjae Jo, B. Kahng

-Core percolation has served as a paradigmatic model of discontinuous percolation for a long time. Recently it was revealed that the order parameter of -core percolation of r…

cond-mat.stat-mech2016★ 19 cited

Mixed-order phase transition in a two-step contagion model with single infectious seed

Wonjun Choi, Deokjae Lee, B. Kahng

A hybrid phase transition (HPT) that exhibits properties of continuous and discontinuous phase transitions at the same transition point has been observed in diverse complex systems…

cond-mat.stat-mech2015★ 75 cited

Hybrid Phase Transition into an Absorbing State: Percolation and Avalanches

Deokjae Lee, S. Choi, M. Stippinger +2

Interdependent networks are more fragile under random attacks than simplex networks, because interlayer dependencies lead to cascading failures and finally to a sudden collapse. Th…

cond-mat.stat-mech2014★ 42 cited

Efficient algorithm to compute mutually connected components in interdependent networks

S. Hwang, S. Choi, Deokjae Lee +1

Mutually connected components (MCCs) play an important role as a measure of resilience in the study of interdependent networks. Despite their importance, an efficient algorithm to…

cond-mat.stat-mech2012★ 159 cited

First passage time for random walks in heterogeneous networks

S. Hwang, D. -S. Lee, B. Kahng

The first passage time (FPT) for random walks is a key indicator of how fast information diffuses in a given system. Despite the role of FPT as a fundamental feature in transport p…

cond-mat.stat-mech2012★ 5 cited

Branching process approach for Boolean bipartite networks of metabolic reactions

Deokjae Lee, K. -I. Goh, B. Kahng

The branching process (BP) approach has been successful in explaining the avalanche dynamics in complex networks. However, its applications are mainly focused on unipartite network…

cond-mat.stat-mech2004★ 81 cited

Sandpile avalanche dynamics on scale-free networks

D. -S. Lee, K. -I. Goh, B. Kahng +1

Avalanche dynamics is an indispensable feature of complex systems. Here we study the self-organized critical dynamics of avalanches on scale-free networks with degree exponent …

cond-mat.stat-mech2003★ 256 cited

Sandpile on Scale-Free Networks

K. -I. Goh, D. -S. Lee, B. Kahng +1

We investigate the avalanche dynamics of the Bak-Tang-Wiesenfeld (BTW) sandpile model on scale-free (SF) networks, where threshold height of each node is distributed heterogeneousl…