From neural propagation to conscious experience: A geometro-diffusion theory of consciousness.

Estrada, Ernesto
Journal of Theoretical Biology 636, 112610 (2027)

Local and nonlocal Laplacian diffusion on graphs with obstacles

Arto, Jaime; Estrada, Ernesto
Linear Algebra and its Applications 752, 185/232 (2027)

Emergent Geometry in Complex Systems from Relational Dynamics. I. The Classical Setting

Estrada, Ernesto
Axioms 15, 536 (2026)

Fractional diffusion on graphs: Superposition of Laplacian semigroups and memory

Deniskin, Nikita; Estrada, Ernesto
Fractal & Fractional 10, 273 (2026)

Graph/network reduction based on communicability vertex similarity

Grass-Boada, D. H., de la Nuez, R., Estrada, E.
Information Sciences 754, 123679 (2026)

Loss of consciousness as a collapse of neural propagation geometry. A geo-metro-diffusion theory approach

Estrada, Ernesto
Chaos, Solitons & Fractals 213, 119283 (2026)

Magnetic Hückel Theory: Framework for the Hermitian adjacency matrix of graphs

Estrada, Ernesto
Mathematical Modelling of Natural Phenomena 21, 22 (2026)

Observational Indistinguishability Between Classical Diffusion and Quantum Thermal Dynamics on Networks

Estrada, Ernesto
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 482, 20260513 (2026)

Space-time duality for fractional powers of operators and graph Laplacians

Estrada, E.; Lizama, C.
Fractional Calculus and Applied Analysis 29, 2222–2255. (2026)

The geometry of quantum walks on graphs. Theory and applications.

Estrada, Ernesto
Mathematics 14, 2218. (2026)

The geometry of the tight-binding method for modelling molecular systems

Bermudez-Montaña, M.; Estrada, E.
SIAM Journal on Applied Mathematics 86, 1882-1905 (2026)

To what extent does network bipartivity shape the spreading of sexually transmitted diseases?

Estrada, Ernesto
SIAM Journal on Life Sciences 1, 288-309 (2026)

The geometry of diffusion on graphs with magnetic field

Estrada, Ernesto
Submitted (2026)

Heterogeneous consensus dynamics through reaction–diffusion models on graphs/networks

Miranda, M.; Moreno-Spiegelberg, P., Estrada, Ernesto
Communications in Nonlinear Science and Numerical Simulation 153, 109160 (2026)

Graph dynamical geometrization: A Diffusion-Based Formulation

Estrada, Ernesto
Submitted (2025)

What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion.

Estrada, Ernesto
Special Matrices 13, (2025)

Balance with Memory in Signed Networks via Mittag-Leffler Matrix Functions

Tian, Y.; Estrada, E.
SIAM Journal on Matrix Analysis and Applications 46, 1460-1483 (2025)

Forman–Ricci communicability curvature of graphs and networks

Estrada, Ernesto
European Journal of Applied Mathematics , 1-25 (2025)

Geometries of mixed graphs in complex vector spaces. Hierarchies and clusters in complex networks

Estrada, Ernesto
Mathematical Methods for Natural Phenomena 20, (2025)

Network Efficiency under Nonconservative Diffusion

Azemar, A.; Estrada, E.
SIAM Journal on Applied Dynamical Systems 24, 1378-1407 (2025)

Signed graphs in data sciences via communicability geometry

Diaz-Diaz, F.; Estrada, E.
Information Sciences 710, 122096 (2025)

The resistance distance is a diffusion distance on a graph

Estrada, Ernesto
Mathematics 13, 2380 (2025)

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Publicacions

Publicacions: SNANDOG