networks & dynamics

My main research line involves the interface between networks and dynamics. Examples of such interface include the characterization of network structure using random walks, the analysis of memory in temporal networks, or characterizing temporal networks from the viewpoint of dynamical systems theory and time series analysis.

Key papers

Reconstruction of multiplex networks / Stochastic decomposition of non-Markovian dynamics / Networks and Random Walks

Multiplex decomposition of non-Markovian dynamics and the hidden layer reconstruction problem

Lucas Lacasa, Inés Pérez-Mariño, Joaquín Miguez, Vincenzo Nicosia, Edgar Roldan, Ana Lisica, Stephan W. Grill and Jesús Gómez-Gardeñes
Physical Review X 8, 031038 (2018)

Multilayer Models of Random Sequences: Representability and Inference via Nonlinear Population Monte Carlo

Joaquín Míguez, Lucas Lacasa, José A. Martínez-Ordóñez, Inés P. Mariño
2019 IEEE 8th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)

Correlation dimension of complex networks

Lucas Lacasa, Jesús Gómez-Gardeñes

Physical Review Letters 110, 168703 (2013)

Theory of Temporal Networks

Dynamics in Scheduled Networks
Massimiliano Zanin, Lucas Lacasa and Miguel Cea
Chaos 19, 023111 (2009)
The shape of memory in temporal networks

Oliver E. Williams, Lucas Lacasa, Ana P. Millan, Vito Latora
Nature Communications 13, 499 (2022)

Correlations of network trajectories

Lucas Lacasa, Jorge P. Rodriguez, Victor M Eguiluz

Physical Review Research (in press 2022)

Lyapunov exponents for temporal networks
Annalisa Caligiuri, Victor M Eguiluz, Leonardo Di Gaetano, Tobias Galla, Lucas Lacasa
Physical Review E (in press 2023)

Theory of Temporal Hypergraphs

High-order correlations reveal complex memory in temporal hypergraphs
Luca Gallo, Lucas Lacasa, Vito Latora, Federico Battiston
Nature Communications (in press 2024)

Network Causality

Beyond pairwise network similarity: exploring mediation and suppression between networks
Lucas Lacasa, Sebastiano Stramaglia, Daniele Marinazzo
NPG Communications Physics 4, 136 (2021)

Networks and Criticality

Number theoretic example of scale-free topology inducing self-organized criticality
Bartolo Luque, Octavio Miramontes, Lucas Lacasa

Physical Review Letters 101, 158702 (2008) pdf

Featured in Investigacion y Ciencia (spanish version of Scientific American)