ROBIN DELABAYS
About me
In 2019, I had the oportunity to visit the Center for Nonlinear Studies (CNLS) at the Los Alamos National Laboratory (LANL). There, my work with Andrey Lokhov and Marc Vuffray was directed towards the localization of disturbances in complex networks.
In 2020, I have been granted a Postdoc.Mobility grant from the Swiss National Science Foundation. This funding will allow me to work for two years in the group of Prof. Francesco Bullo at the University of California, Santa Barbara.
Aside of my research, I took advantage of my years in Sion to practice a wide variety of outdoor activities in the Alps, such as skiing, mountaineering, climbing, and paragliding.
A more formal CV including a list of publications can be found here.
Recent occupations at a glance:
Since Oct. 2020: Postdoc at UCSB with Prof. F. Bullo.
Jun. 2018  Jul. 2020: Postdoc between HESSO and ETHZ with Profs. P. Jacquod and F. Dörfler.
Jul.  Aug. 2019: Visiting postdoc at LANL with A. Lokhov and M. Vuffray.
Dec. 2014  May 2018: PhD at HESSO with Prof. P. Jacquod.
After obtaining my Master's degree in Mathematics at the University of Geneva, I started a Ph.D. at the University of Applied Sciences of Western Switzerland (HESSO) in Sion (CH), under supervision of Prof. Philippe Jacquod. Our interest in the stability of power grids lead us to investigate the phenomenon of synchronization of networked agents, and in particular the conditions for the existence of multiple synchronous states in such a system.
After graduating in May 2018, I stayed in Sion as a postdoc, with frequent interactions with Prof. Florian Dörfler at ETH Zurich. Most of my work since then aims at a better understanding of the interplay between network structure and dynamics in systems of coupled dynamical agents.
My research
Working on the stability of electrical networks with a mathematical background naturally lead me to investigate relation between dynamical systems and complex networks.
On one hand, it is clear that the network structure underlying a dynamical system influences its dynamics. Determining the impact of some network structures on the dynamics of a system is still an ongoing field of research.
On the other hand, if the underlying network is unknown, observation of the system can give enough information to recover some characteristics of the network. Such an approach aims at learning the underlying system from measurements data.
Currently, my research interests cover the two faces of this coin. In particular, with P. Jacquod, T. Coletta, and M. Tyloo, we showed how the number and size of cycles in a network of dynamical agents influence the number of equilibria of the whole system. More recently, with P. Jacquod, L. Pagnier, and M. Tyloo, we proposed some novel methods to leverage the information included in measurements in order to recover the underlying network structure or the source of a disturbance in a dynamical system.
Publications
A pdf version of my list of publication is available in my CV. All manuscripts are available on the arXiv.
Preprints

R. Delabays and M. Tyloo, Heavytailed distribution of the number of publications within scientific journals, under preparation (2020).
arXiv: 2011.05703
Peerreviewed articles

M. Tyloo, R. Delabays, and P. Jacquod, Reconstructing Network Structures from Partial Measurements, Chaos 31, 103117 (2021).
DOI: 10.1063/5.0058739  arXiv: 2007.16136

R. Delabays and M. Tyloo, Network Inference using Sinusoidal Probing, IFACPapersOnLine 54, 696 (2021).
DOI: 10.1016/j.ifacol.2021.06.131  arXiv: 2002.00490

R. Delabays, L. Pagnier, and M. Tyloo, Locating Line and Node Disturbances in Networks of Diffusively Coupled Dynamical Agents, New J. Phys. 23, 043037 (2021).
DOI: 10.1088/13672630/abf54b  arXiv: 2003.08786

M. Tyloo and R. Delabays, System Size Identification from Sinusoidal Probing in Diffusive Complex Networks, J. Phys. Complex. 2, 025016 (2021).
DOI: 10.1088/2632072X/abebd3  arXiv: 2009.03824

A. Reggio, R. Delabays, and P. Jacquod, Clusterization and Phase Diagram of the Bimodal Kuramoto Model with Bounded Confidence, Chaos 30, 093134 (2020).
DOI: 10.1063/5.0020436  arXiv: 2007.01214

R. Delabays, Dynamical Equivalence between Kuramoto Models with First and Higherorder Coupling, Chaos 29, 113129 (2019).
DOI: 10.1063/1.5118941  arXiv: 1907.03699

R. Delabays, M. Tyloo, and P. Jacquod, Rate of Change of Frequency under Line Contingencies in High Voltage Electric Power Networks with Uncertainties, Chaos 29, 103130 (2019).
DOI: 10.1063/1.5115002  arXiv: 1906.05698

M. Tyloo, R. Delabays, and P. Jacquod, NoiseInduced Desynchronization and Stochastic Escape from Equilibrium in Complex Networks, Phys. Rev. E 99, 062213 (2019).
DOI: 10.1103/PhysRevE.99.062213  arXiv: 1812.09497

D. Cimasoni and R. Delabays, The Topological Hypothesis for Discrete Spin Models, J. Stat. Mech. 2019 (2019).
DOI: 10.1088/17425468/ab0c14  arXiv: 1811.10263

R. Delabays, P. Jacquod, and F. Dörfler, The Kuramoto Model on Oriented and Signed Graphs, SIAM J. Appl. Dyn. Syst. 18, 458 (2019).
DOI: 10.1137/18M1203055  arXiv: 1807.11410

R. Delabays, M. Tyloo, and P. Jacquod, The Size of the Sync Basin Revisited, Chaos 27, 103109 (2017).
DOI: 10.1063/1.4986156  arXiv: 1706.00344

T. Coletta, R. Delabays, and P. Jacquod, Finitesize Scaling in the Kuramoto Model, Phys. Rev. E 95, 042207 (2017).
DOI: 10.1103/PhysRevE.95.042207  arXiv: 1612.07031

R. Delabays, T. Coletta, and P. Jacquod, Multistability of PhaseLocking in EqualFrequency Kuramoto Models on Planar Graphs, J. Math. Phys. 58, 032703 (2017).
DOI: 10.1063/1.4978697  arXiv: 1609.02359

T. Coletta, R. Delabays, I. Adagideli, and P. Jacquod, Topologically Protected Loop Flows in High Voltage AC Power Grids, New J. Phys. 18, 103042 (2016).
DOI: 10.1088/13672630/18/10/103042  arXiv: 1605.07925

R. Delabays, T. Coletta, and P. Jacquod, Multistability of PhaseLocking and Topological Winding Numbers in Locally Coupled Kuramoto Models on SingleLoop Networks, J. Math. Phys. 57, 032701 (2016).
DOI: 10.1063/1.4943296  arXiv: 1512.04266

T. Coletta, R. Delabays, L. Pagnier, and P. Jacquod, Large Electric Load Fluctuations in Energyefficient Buildings and how to Suppress them with Demand Side Management, IEEE PES ISGT Conf. Europe (2016).
DOI: 10.1109/ISGTEurope.2016.7856328
Presentations and posters
All conference material is under CCBY license.

Oct. 25  29, 2021: Conference on Complex Systems 2021, Lyon, France.
Oral presentation: Flow Network Problems on the ntorus with Asymmetric Couplings.

Jul. 5  10, 2021: Networks 2021, Online.
Oral presentation: Reconstructing Network Structures from Partial Measurements.

Jan. 11 – 15, 2021: Grid Science Conference, Online, hosted by Los Alamos National Laboratory.
Poster: Reconstructing Network Structure from Partial Measurements.

Nov. 4 – 8, 2019: Network Dynamics in the Social, Economic, and Financial Sciences, Torino, Italy.
Oral presentation: Robustness of Elections Results Against External Influence.

Sep. 23 – 26, 2019: International Workshop on Complex Systems and Networks, Berlin, Germany.
Oral presentation: Rate of Change of Frequency under Line Contingencies.

Feb. 3 – 8, 2019: Future Electric Power Systems, Champéry, Switzerland.
Poster: Bounding the Desynchronization Time in Electrical Grids under Fluctuating Sources.

Jan. 18, 2019: CCDC Seminar, UC Santa Barbara (CA), USA.
Oral presentation: Bounding the Destabilization Time in Networks of Coupled Noisy Oscillators.

Jan. 7 – 11, 2019: Grid Science Conference, Santa Fe (NM), USA.
Poster: Bounding the Desynchronization Time in Electrical Grids under Fluctuating Sources.

Sep. 3 – 7, 2018: Dynamics Days Europe, Loughborough, United Kingdom.
Oral presentation: Multistability in Electric Power Grids on Meshed, Complex Networks.

Jan. 29 – 31, 2018: 661. WEHereaus Seminar, Bad Honnef, Germany.
Poster: The Size of the Sync Basin Revisited.

Sep. 3 – 8, 2017: International School on Energy Systems, Kloster Seeon, Germany.
Poster: Topologically Protected Loop Flows in High Voltage AC Power Grids.

Feb. 5 – 9, 2017: Future Electric Power Systems, Champéry, Switzerland.
Oral presentation: Loop Flows and the Number of Power Flow Solutions in Meshed Electric Power Grids.

Jan. 8 – 13, 2017: Grid Science Conference, Santa Fe (NM), USA.
Poster: Multistability of PhaseLocking and Vortices in Locally Coupled Kuramoto Models.

Jun. 6 – 10, 2016: Dynamics Days, Corfu, Greece.
Oral presentation: Multistability of PhaseLocking and Topological Winding Numbers in Locally Coupled Kuramoto Models.
Ph.D. Thesis

R. Delabays, Loop Flows in the Kuramoto Model, University of Geneva, Thesis (2018).
DOI: 10.13097/archiveouverte/unige:106921
CCS 2021  Satellite Symposium
In October 2021, I coorganized the Satellite Symposium Databased Diagnosis of Networked Dynamical Systems at the Conference on Complex Systems 2021 in Lyon, with L. Pagnier and M. Tyloo. More information can be found here.
We had a great panel of speakers both onsite and online. It was really nice to attend live talks again.
GeoCoW 2020
From February 2nd to 5th, 2020, I coorganized the workshop Geometry of Complex Webs (GeoCoW) with Matthieu Jacquement (HESSO and UniFR) and Christian Mazza (UniFR). It took place in the nice alpine village of Les Diablerets, Switzerland.
We gathered speakers and attendees from broad backgrounds, ranging from pure mathematicians to engineers, including physicists, life scientists, and computer scientists. The aim of this workshop was to allow people from different fields to interact around the interdisciplinary topic of complex networks and (maybe) see opportunities for new and rich collaborations.
All details about the event can be found here.