Yuri A. Dabaghian

The paper uses path homology to analyze ordinal sequences in hippocampal activity during spatial navigation, finding most sequences are structurally equivalent and short motifs dominate.

The paper proposes a model where receptive fields and neural dynamics emerge from hyperbolic geometry of scale-free networks, matching experimental statistics without synaptic fine-tuning.

The paper studies theta-oscillons in behaving rats, showing they resemble theta-waves in key characteristics and exhibit behavior-attuned properties.

The paper examines how tau-pathology disrupts hippocampal neural activity patterns in mice, revealing structural disarray in spike trains and oscillatory fields that correlates with age and spatial navigation deficits.

This paper uses percolation theory to analyze grid cell firing patterns and shows that neurophysiological parameters align with experimental data, suggesting a biological role for percolation in hippocampal mapping.

The paper proposes a mechanism for border cells using discrete complex analysis on a triangular lattice, showing how it can generate neurons firing at environment boundaries.

The paper analyzes brain rhythm patterns and their dynamics, finding relationships between wave structure, animal movement, and functional behavior.

The paper proposes a model that combines direction and location information into a unified spatial framework using algebraic topology and synthetic affine geometry.

The paper argues that firing fields in neuronal activity can be identified theoretically through topological analysis rather than empirical trial and error.