Office
Office 14 (C1/034.2)
E-mail
mhoms@crm.cat
Position
KTU Technician
Research interests
Complex Systems
Homs, Marc
Biosketch
I hold a degree in Mathematics from the Universitat Autònoma de Barcelona, where I gained a strong foundation in the theory of dynamical systems and ODEs. I then pursued a Master's at Oxford University, working with Renaud Lambiotte on the consensus problem in complex networks. I earned my PhD in Mathematics from the University of Warwick, where I was supervised by Robert MacKay and further developed my research interests in dynamics and networks.
Currently, I am based at KTU at CRM, where I am tackling a variety of interdisciplinary problems, ranging from automation in cooking processes to optimizing public transport mobility.
Selected publications
- Claude Baesens, Marc Homs-Dones, Robert S. MacKay. "Example of simplest bifurcation diagram for a monotone family of vector fields on a torus." Nonlinearity, 37, (2024), 115001. doi:10.1088/1361-6544/ad6b70.
- Homs-Dones, M., Devriendt, K., Lambiotte, L. "Nonlinear consensus on networks: equilibria, effective resistance and trees of motifs." SIAM J. Appl. Dyn. Syst., 20, (2021), 1544–1570. doi: 10.1137/20M1376844.
- Homs-Dones, Marc. "A generalization of the Babbage functional equation." Discrete & Continuous Dynamical Systems - A, 41, (2021), 899-919. doi: 10.3934/dcds.2020303.