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The LASAGNE project

The aim of the LASAGNE project is to provide a novel and coherent theoretical framework for analysing and modelling dynamic and multi-layer networks in terms of multi-graphs embedded in space and time. To do this, we will treat time, space and the nature of interactions not as additional dimensions of the problem, but as inherent components of the very same generalised network description. The theory will be validated on real-world applications involving large and heterogeneous data sets of brain networks, on- and off-line social systems, healthcare systems, and transportation flows in cities. Our project will provide new quantitative opportunities in different fields, ranging from the prediction of pathologies to the diffusion of ideas and trends in societies, and for the management of socio-technological systems.

LASAGNE is funded by the FET Proactive Initiative, Dynamics of Multi-Level Complex Systems DyM-CS

1 Objectives of the project

Thanks to modern ICT, a new generation of large data sets of social, biological, and man-made systems are now available. Many more will be produced at an ever?increasing rate in the near future. Such data contain high precision and integrated information on the nature and the evolution -in space and time- of the state of each single component, together with information on different types of interactions between them. Unfortunately, it is extremely difficult to extract meaningful information from this new generation of high-integrated data, since current network theory provides not much more than a static description of single, independent networks. The aim of this project is to provide a novel and coherent theoretical framework for analyzing and modeling these dynamic and multi-layer networks in terms of multi-graphs embedded in space and time. To do this, we will treat time, space and the nature of interactions not as additional dimensions of the problem, but as natural, inherent components of the very same generalized network (GNE) description. The first goal of the project is to devise novel metrics and models, able to capture the interactions between different layers and across different spatio-temporal scales. The second goal is to understand the combined role of spatial distance, time and inter-layer interactions on the dynamics of processes running on GNEs, and on the emergence of collective behaviors, such as synchronization. The third goal is to investigate cases where GNEs are co-evolving with the processes they facilitate. The theory will be validated on real-world applications involving large and heterogeneous data sets of brain networks, on- and off-line social systems, healthcare systems, and transportation flows in cities. Our project will provide new quantitative opportunities in different fields, ranging from the prediction of pathologies to the diffusion of ideas and trends in societies, and for the management of socio-technological systems.

In our GNE formulation, the position of the nodes might change in time, and the links can be embedded in space and fluctuate in time. We suppose that the GNE formulation is mathematically more treatable, and rich enough to completely describe a large variety of real systems:

2 Consortium

pict Coordinator: Medical University of Vienna, Austria
pict Scientific coordinator: Queen Mary University of London, UK.
pict Partner: Universitat de Barcelona, Spain.
pict Partner: Universitat de les Illes Balears, Spain.
pict Partner: University of Cambridge, UK.
Partner: University of Birmingham, UK.
pict Partner: Centre National de la Recherche Scientifique, France.

3 Scientific dissemination

All partners of the consortium have actively promoted the dissemination and exploitation of the results obtained in their laboratory through:

Furthermore, the consortium as a whole has disseminated the results of LASAGNE to the scientific community in the following way:

Prize: A. Díaz-Guilera , Professor at the Universitat de Barcelona and member of the LASAGNE consortium, was recently awarded with the Complex System Society Service Award during the last European Conference of Complex Systems (ECCS 2014) that took place in Lucca, Italy (09/2014).

4 Publications list

The work done during last years has given rise to 29 articles in international journals, which have already been published or are currently in press:

1.
F. De Vico Fallani, V. Nicosia, V. Latora, M. Chavez. “Non-parametric resampling of random walks for spectral network clustering”, Phys. Rev. E, 89, 012802 (2014). doi:10.1103/PhysRevE.89.012802
2.
F. Battiston, V. Nicosia, V. Latora. “Structural measures for multiplex networks”, Phys. Rev. E 89, 032804 (2014). doi:10.1103/PhysRevE.89.032804
3.
V. Nicosia, M. De Domenico, V. Latora. “Characteristic exponents of complex networks”, Europhysics Letters 106, 58005 (2014). doi:10.1209/0295-5075/106/58005
4.
V. Nicosia, G. Bianconi, V. Latora, M. Barthelemy. “Non-linear growth and condensation in multiplex networks ”, accepted for publication in Phys. Rev. E. (paper in collaboration with the EU-project Plexmath). The draft can be obtained here
5.
P. Billeke, F. Zamorano, M. Chavez, D. Cosmelli, F. Aboitiz. “Functional network plasticity in alpha band correlated with social bargaining”. accepted for publication in PLoS One.
6.
F. De Vico Fallani, M. Corazzol, J. Sternberg, K. Fidelin, C. Wyart and M. Chavez. “Hierarchy of neural organisation in the zebra fish spinal cord: causality analysis of in-vivo calcium imaging data”, accepted for publication in IEEE Trans. Neural Syst. Rehabil. Eng. doi:10.1109/TNSRE.2014.2341632
7.
F. De Vico Fallani, S. Achard, J. Richiardi and M. Chavez. “Graph analysis of functional brain networks: practical issues in translational neurosciences”. Philos. Trans. R. Soc. B-Biol. Sci. 369 (1653) 20130521 (2014).doi:10.1098/rstb.2013.0521
8.
G. Castagneto-Gissey, M. Chavez and F. De Vico Fallani. “Dynamic Granger-Causal Networks of Electricity Spot Prices: A Novel Approach to Market Integration”. Energy Economics 44: 422-432 (2014). Data and code are provided from the editor’s site. doi:10.1016/j.eneco.2014.05.008
9.
A. Solé-Ribalta, M. De Domenico, N. E. Kouvaris, A. Díaz-Guilera, S. Gómez, and A. Arenas.“Spectral properties of the Laplacian of multiplex networks”. Phys. Rev. E 88, 032807, (2013). Paper in collaboration with the EU-project Plexmath. doi:10.1103/PhysRevE.88.032807
10.
K.-K. Kleineberg, M. Boguñá. “Evolution of the digital society reveals balance between viral and mass media influence”. Phys Rev X 4, 031046 (2014).doi:10.1103/PhysRevX.4.031046
11.
M. Diakonova, M. San Miguel, V. Eguiluz. “Absorbing and Shattered Fragmentation Transitions in Multilayer Coevolution”. Phys Rev E 89, 06218 (2014).doi:10.1103/PhysRevE.89.062818
12.
A. Carro, F. Vazquez, R. Toral, M. San Miguel. “Fragmentation transition in a coevolving network with link-state dynamics”. Phys Rev E 89, 062802 (2014). doi:10.1103/PhysRevE.89.062802
13.
D. Vilone, J.J. Ramasco, A. Sanchez, M. San Miguel. “Social imitation vs strategic choice, or consensus vs cooperation in the networked Prisoners Dilemma”. Phys Rev E 90, 022810 (2014). doi:10.1103/PhysRevE.90.022810
14.
J. Fernandez-Gracia, K. Suchecki, J.J. Ramasco, M. San Miguel, V.M. Eguiluz. “Is the Voter Model a model for voters?” Phys Rev Lett 112, 158701 (2014). doi:10.1103/PhysRevLett.112.158701
15.
M. Lenormand, M. Picornell, O. Cantu-Ros, A. Tugores, Th. Louail, R. Herranz, M. Barthelemy, E. Frias-Martinez, J.J. Ramasco. “Cross-checking different sources of mobility information”. PLoS ONE 9, e105184 (2014) doi:10.1371/journal.pone.0105184
16.
P.A. Grabowicz, J.J. Ramasco, B. Goncalves, V.M. Eguiluz.“Entangling mobility and interactions in Social Media”. PLoS ONE 9, e92196 (2014). doi:10.1371/journal.pone.0092196
17.
J. Garcia-Algarra, J. Galeano, J.M. Pastor, J.M. Iriondo, J.J. Ramasco.“Rethinking the logistic approach for population dynamics of mutualistic interactions”. J Theor Biol 363, 332-343 (2014). doi:10.1016/j.jtbi.2014.08.039
18.
M. Lenormand, A. Tugores, P. Colet, J.J. Ramasco.“Tweets on the road”. PLoS ONE 9, e105407 (2014). doi:10.1371/journal.pone.0105407
19.
P. Fleurquin, J.J. Ramasco, V.M. Eguiluz. “Characterization of delay propagation in the US air transportation network” Transport J. 53, 330-344 (2014). doi:10.1353/tnp.2014.0018
20.
A. Apolloni, C. Poletto, J.J. Ramasco, P. Jensen, V. Colizza.“Metapopulation epidemic models with heterogeneous mixing and travel behaviour” Theor Biol and Med Model 11, 3 (1-31) (2014). doi:10.1186/1742-4682-11-3
21.
V. Nicosia, M. Valencia, M. Chavez, A. Daz-Guilera, V. Latora.“Remote synchronization reveals network symmetries and functional modules”. Phys. Rev. Lett. 110, 174102 (2013). doi:10.1103/PhysRevLett.110.174102
22.
S. Gómez, A. Díaz-Guilera, J. Gómez-Gardeñes, C. J. Pérez-Vicente, Y. Moreno, and A. Arenas. “Diffusion Dynamics on Multiplex Networks”. Phys. Rev. Lett. 110, 028701 (2013). doi:10.1103/PhysRevLett.110.028701
23.
V. Nicosia, G. Bianconi, V. Latora, M. Barthelemy. “Growing multiplex networks”. Phys. Rev. Lett. 111, 058701 (2013). doi:10.1103/PhysRevLett.111.058701
24.
V. Nicosia, P. E. Vértes, W. R. Schafer, V. Latora and E. T. Bullmore. “Phase transition in the economically modeled growth of a cellular nervous system”. Proc. Natl. Acad. Sci. U.S.A. 110, 7880–7885 (2013). doi:10.1073/pnas.1300753110
25.
A. Solé-Ribalta, M. De Domenico, N. E. Kouvaris, A. Díaz-Guilera, S. Gómez, and A. Arenas. “Spectral properties of the Laplacian of multiplex networks”. Phys. Rev. E 88, 032807 (2013). doi:10.1103/PhysRevE.88.032807
26.
P. Fleurquin, J.J. Ramasco, and V.M. Eguiluz. “Systemic delay propagation in the US airport network”. Scientific Reports 3, Article number: 1159 (2013). doi:10.1038/srep01159
27.
S. Thurner, S. Poledna. “DebtRank-transparency: controlling systemic risk in financial networks”. Scientific Reports 3, Article number: 1888 (2013). doi:10.1038/srep01888
28.
Ch. Brown, V. Nicosia, S. Scellato, A. Noulas, C. Mascolo. “Social and place-focused communities in location-based online social networks”. Eur. Phys. J. B 86 (6), 290 (2013). doi:10.1140/epjb/e2013-40253-6
29.
P. Klimek, S. Thurner. “Triadic closure dynamics drives scaling laws in social multiplex networks”. New Journal of Physics 15, 063008 (2013). doi:10.1088/1367-2630/15/6/063008

Results of LASAGNE have also been included in the following books and proceedings:

1.
Keep Your Friends Close and Your Facebook Friends Closer: A Multiplex Network Approach to the Analysis of Offline and Online Social Ties. D. Hristova, M. Musolesi, C. Mascolo. In Proceedings of the Eighth International AAAI Conference on Weblogs and Social Media (ICWSM 2014). Ann Arbour, Michigan, USA, June 2014. The draft can be obtained here
2.
Graph Metrics for Temporal Networks. V. Nicosia, J. Tang, C. Mascolo, M. Musolesi, G. Russo and V. Latora. Book Chapter in P. Home and J. Saramaki (Editors). Temporal Networks. Springer (2013). The draft can be obtained here
3.
Applications of Temporal Graph Metrics to Real-World Networks. J. Tang, I. Leontiadis, S. Scellato, V. Nicosia, C. Mascolo, M. Musolesi and V. Latora. Book Chapter in P. Home and J. Saramaki (Editors). Temporal Networks. Springer (2013). The draft can be obtained here

Submitted articles

Additionally, the following papers have been recently submitted for publication:

1.
A. Cardillo, G. Petri, V. Nicosia, R. Sinatra, J. Gomez-Gardenes, V. Latora ”Evolutionary dynamics of time-resolved social interactions”. arxiv:1302.0558.
2.
V. Nicosia, V. Latora ”Measuring and modelling correlations in multiplex networks”. arxiv:1403.1546.
3.
M. De Domenico, V. Nicosia, A. Arenas, V. Latora ”Layer aggregation and reducibility of multilayer interconnected networks”. arxiv:1405.0425. Paper in collaboration with the EU-project Plexmath.
4.
V. Nicosia, P. S. Skardal, V. Latora, A. Arenas ”Spontaneous synchronization driven by energy transport in interconnected networks”, arxiv:1405.5855. Paper in collaboration with the EU-project Plexmath.
5.
V. Nicosia, L. Lacasa, V. Latora ”From multivariate time series to multiplex visibility graphs”. arxiv:1408.0925.

All the preprints of these articles have been posted in the public-access arXiv website

5 Conferences and symposia

Project partners have searched for dissemination opportunities of projects results at scientific workshops, conferences and working groups, also identified as being particularly suitable to publish the results of LASAGNE. The results obtained within the framework of the LASAGNE project have been presented in the following events, either as invited or contributed communications:

1.
SEMINAR, V. Latora, “The growth of cities and neural networks”, Imperial College, London, UK, (03/2014).
2.
SEMINAR, V. Latora, “The growth of cities and neural networks”, University of Bologna, Italy, (04/2014)
3.
SEMINAR, F. Battiston, “Biased random walks on multiplex network”, IFISC, Palma de Maiorca, Spain (05/2014).
4.
INVITED TALK, V. Nicosia, “Correlations in multiplex networks”, IFISC, Palma de Maiorca, Spain (05/2014).
5.
OPENING LECTURE, V. Latora, “Introduction to complex network and structural descriptors”, Mediterranean School of Complex Networks, Salina, Italy, 9-13 Jun 2014
6.
INVITED LECTURE, V. Nicosia, “Random Walks and diffusion processes”, Mediterranean School of Complex Networks, Salina, Italy (06/2014).
7.
INVITED LECTURE, V. Nicosia, “Evolution and correlations in multiplex network”, Mediterranean School of Complex Networks, Salina, Italy (06/2014).
8.
FLASH TALK, F. Battiston, “Biased random walks on multiplex networks”, Mediterranean School fo Complex Networks, Salina, Italy (06/2014).
9.
KEYNOTE TALK, V. Latora, “New Trends in Complex Networks”, SIMAI (Italian Society of Applied Mathematics) Taormina, Italy, (07/2014),
10.
GUEST SPEAKER, V. Latora, School on Computational Complex Systems 2104: Smart Cities, Lipari, Italy, 27 Jul- 2 Aug 2014
11.
TALK, F. Battiston, “Structural measures for multiplex networks”, presented at the Workshop on Mathematics of Networks, Imperial College, London (UK) (09/2014).
12.
FLASH TALK, F. Battiston, “Structural measures for multiplex networks”, ECCS Warm-up 2014, Lucca, Italy (09/2014).
13.
FLASH TALK, F. Battiston, “Structural measures for multiplex networks”, Young Researchers Network on Complex Systems Satellite 2014, Lucca, Italy (09/2014).
14.
POSTER, F. Battiston, V. Nicosia, V. Latora, “Biased random walks on multiplex networks”, poster at ECCS 2014, Lucca, Italy (09/2014).
15.
TALK, V. Nicosia, “Non-linear growth, correlations and condensation in multiplex networks”, presented at ECCS 2014, Lucca, Italy (09/2014).
16.
INVITED TALK, V. Nicosia, “Compressibility of multi-layer networks”, Multiplex 2014 Satellite Workshop at ECCS 2014, Lucca, Italy (09/2014).
17.
TALK, F. Battiston, “Biased random walks on multiplex networks”, presented at the Multiplex 2014 - Satellite of ECCS 2014, Lucca, Italy (09/2014).
18.
TALK, A. Díaz-Guilera, “Statistical Physics and Complex Networks”, XXIV Sitges Conference on Statistical Mechanics, Barcelona, Spain (06/2014).
19.
TALK, A. Díaz-Guilera, Tertlia Recerca i Big Data — Big Data dins lempresa. CCCB, Barcelona, Spain (05/2014).
20.
TALK, A. Díaz-Guilera, “Xarxes, xarxes de xarses i ms enll” Complxica - 1, Seminaris per a la transdisciplinarietat, Barcelona, Spain (02/2014).
21.
TALK, A. Díaz-Guilera, “New paradigms in complex networks science: time dependence, multiplexity, networks of networks, spatial features”. 8th Conference on Nonlinear Systems and Dynamics, Indore, India, (12/2013).
22.
TALK, R. Requejo, “Multiplex public goods games with environmental layers”. Workshop on Spatial Human Cooperation. Max Plank Institute for Evolutionary Biology, Pln, Germany (05/2014).
23.
TALK, R. Requejo, “Agent based modeling in the multiplex”. Jornadas Complexitat.cat. Catalan Network for the Study of Complex Systems, Instituto de Ciencias de la Educacin, UPC. Barcelona, Spain (06/2014)
24.
R. Requejo, “Multilayer networks in evolutionary biology”. 10th AIMS Conference, Instituto de Ciencias Matemticas, Universidad Autnoma de Madrid, Spain (06/2014)
25.
R. Requejo, “Multilayer public goods games with diffussion”. ECCS’14 Lucca, Italy (09/2014).
26.
TALK, T. Simas, “Multiplex fMRI and DTI Networks: A Topological comparison”, presented at the Physics of multilayered interconnected networks, satellite of the NETSCI 2014, Berkeley, USA (06/2014)
27.
TALK, T. Simas, “Multiplex fMRI and DTI Networks: A Topological comparison”, presented at the BRAIN satellite of the ECCS’14, Lucca, Italy (09/2014)
28.
TALK, N. Kouvaris, “Analyzing the interplay among the layers of a multiplex on the overall diffusion dynamics” presented at the XXXIII Dynamic Days Europe, MAdrid, Spain (06/2014)
29.
POSTER, N. Kouvaris, “Activator-inhibitor systems in multiplex networks”, poster presented at the III Jornada complexitat.cat, Barcelona, Spain (06/2014)
30.
TALK, N. Kouvaris, “Activator-inhibitor systems in multiplex networks”, presented at the 4th International Workshop on Statistical Mechanics and Dynamical Systems, Athens, Greece (07/2014)
31.
POSTER, N. Kouvaris, “Propagation failure of excitation waves on trees and random networks”, poster presented at the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain (07/2014)
32.
TALK, N. Kouvaris, “Turing patterns in multiplex networks”, presented at the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain (07/2014)
33.
TALK, N. Kouvaris, “Pattern formation in reaction multiplex networks”, presented at ECCS 2014, Lucca, Italy (09/2014).
34.
IGNITE TALK, N. Kouvaris, “Reaction multiplex networks”, presented at ECCS 2014, Lucca, Italy (09/2014).
35.
TALK, M. San Miguel, “Collective Social Phenomena”, Econosociophysics workshop, Tarragona, Spain, (01/2014).
36.
INVITED TALK, M. San Miguel, “Data for human mobility. Implications for electoral processes”, Ways of Seeing: A Multidisciplinary workshop, Galway, Ireland (04/2014)
37.
TALK, M. Diakonova, “Fragmentation Transitions in the Multilayer Coevolving Voter Model”, FisEs 2013, Ourense, Spain, (04/2014).
38.
TALK, A. Carro, “Fragmentation transition in a coevolving network with link-state dynamics”, FisEs 2013, Ourense, Spain, (04/2014)
39.
INVITED TALK, M. San Miguel, “Is the voter model a model for voters?” presented at the Computational Social Science Conference, Warwick, UK, (06/2014)
40.
INVITED TALK, J. Ramasco, “Spatial Structure of Cities”, given at the Satellite Urban Systems and Networks of the conference NetSci 2014, Berkeley, California, USA, (06/2014)
41.
INVITED TALK, J. Ramasco, “Is the voter model a model for voters?” presented at the 10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain, (07/2014).
42.
TALK, A. Carro, “Fragmentation transition in a coevolving network with link-state dynamics” presented at the GEFENOL Summer School, Palma de Mallorca, Spain, (09/2014).
43.
TALK, M. Diakonova, “Role of Heterogeneity in Structural Properties of the Multiplex”, presented at the Multiplex Satellite of the ECCS 2014, Lucca, Italy, (09/2014)
44.
TALK, A. Carro, “Fragmentation transition in a coevolving network with link-state dynamics”, presented at the Multiplex Satellite of the ECCS 2014, Lucca, Italy, (09/2014)
45.
TALK, M. Diakonova, “Absorbing and Shattered Fragmentation Transitions in Multilayer Coevolution”, presented at the ECCS 2014, Lucca, Italy, (09/2014)
46.
INVITED LECTURE, M. Chavez, “A Not Complicated Tour of Complex Brain Networks”, Mediterranean School of Complex Networks, Salina, Italy, (06/2014).
47.
INVITED TALK, M. Chavez, “The impact of brain network’s symmetries on neural synchronization”, Seminar at the UPC, Terrassa, Spain, (02/2014).
48.
KEYNOTE TALK, M. Chavez, “Role of brain symmetry on neural synchronization”, International Workshop-School “Chaos and Dynamics in Biological Networks”. Institut d’études Scientifiques de Cargèse, Corsica, France, (05/2014).
49.
A. Díaz-Guilera. “New paradigms in complex networks science: time dependence, networks of networks, spatial features, multiplexity”, Microeconomics Research Workshop, 05/02/2013, Florence (IT)
50.
A. Díaz-Guilera. “Synchronization in mobility networks”, 4th Workshop on Complex Networks, 13-15/03/2013, Berlin (DE)
51.
A. Díaz-Guilera. “New paradigms in complex networks science: time dependence, networks of networks, spatial features, multiplexity”, Seminar at Yahoo! Research Group, 21/03/2013, Barcelona (ES)
52.
M. Chavez. “Role of network symmetries on remote synchronization”, Workshop on Network Dynamics, 25-26/03/2013, Montpellier (FR)
53.
M. Chavez. “Simple introduction to complex brain networks”, Workshop Bio-Dynamics-Day, 16/05/2013, Le Havre (FR)
54.
V. Nicosia.“Remote synchronization reveals network symmetries and functional modules”, Complexity and Network Group Seminar, Imperial College, 28/05/2013, London (UK).
55.
V. Nicosia. “Phase-transition in the growth of a neural network”, NetSci 2013, International Conference on Network Science, 3-7/06/2013, Copenhagen (DK). This talk won the Young Researcher Prize at NetSci’13
56.
V. Nicosia. “Remote synchronization reveals network symmetries and functional modules”, NetSci 2013, International Conference on Network Science, 3-7/06/2013, Copenhagen (DK).
57.
M. Chavez. “Non-parametric resampling of random walks for spectral network clustering”, NetSci 2013, International Conference on Network Science, 3-7/06/2013, Copenhagen (DK).
58.
A. Díaz-Guilera. “Synchronization in contact networks of mobile oscillators”, XXIII Dynamics Days Europe Conference, 03-07/06/2013, Madrid (ES)
59.
N. E Kouvaris. “Analyzing the interplay among the layers of a multiplex on the overall diffusion dynamics”, XXIII Dynamics Days Europe Conference, 03-07/06/2013, Madrid (ES)
60.
C. Mascolo. “Evolving Geo-Temporal Social Networks and Their Applications”, Workshop on Time-Dependent and Multiplex Networks, 08-09/06/2013, Oxford (UK)
61.
Fleurquin. “Data-driven modeling of systemic delay propagation under severe meteorological conditions”, Tenth USA/Europe Air Traffic Management Research and Development Seminar (ATM2013), 10-13/06/2013 Chicago, (USA)
62.
M. Chavez. “Role of network symmetries on remote synchronisation”, Workshop Dynamics of Regulatory Networks III, 24-28/06/2013, Cuernavaca (MX)
63.
V. Nicosia. “Growing Multiplex Networks”, ECCS 2013, European Conference on Complex Systems, 16-20/09/2013, Barcelona (ES).
64.
F. Battiston. “Metrics for Multiplex Networks”, Workshop on Multiplex Networks 2013, European Conference on Complex Systems, 19/09/2013, Barcelona (ES).
65.
C. Mascolo. “Geo-Social Networks: temporal evolution, mobility, communities and applications”, Workshop on Multiplex Networks 2013, European Conference on Complex Systems, 19/09/2013, Barcelona (ES).
66.
N. E Kouvaris. “Analyzing the interplay among the layers of a multiplex on the overall diffusion dynamics”, European Conference on Complex Systems, 19/09/2013, Barcelona (ES)
67.
L. Prignano. “Tuning Synchronization Of Integrate-And-Fire Oscillators Through Mobility”, European Conference on Complex Systems, 19/09/2013, Barcelona (ES)
68.
O. Sagarra. “Statistical Mechanics Of Multi-Link Networks”, European Conference on Complex Systems, 19/09/2013, Barcelona (ES)
69.
M. Chavez. “Complex networks: new trends for the analysis of brain dynamics”. Theoretical Neurosciences Group Seminar, Institut de Neuroscience des Systemes, 26/09/2013, Marseille (FR)

6 External Collaborations

LASAGNE aims at maintaining an active communication with other related FP7 projects (especially those of the FET proactive initiative that play into the same objectives of LASAGNE) in order to share results, gather feedback and to form a unified approach, so as to maximize the joint impact of the projects. These joint dissemination activities include:

7 Conclusion

The aim of LASAGNE is to provide a novel and coherent theoretical framework for analyzing and modeling multi-layer networks in terms of multi-graphs embedded in space and time. This implies bringing together different competences and communities. This deliverable demonstrates that scientific cooperation and data exchange has played a key role in our project activities. We have put a special emphasis on this goal since LASAGNE has been capable of establishing and renewing internal and external collaborations, and constructing solid, long-lasting partnerships that secure sustainable and effective progress with respect to the current state of the art of multilayer network analysis.