Riemannian geometry

…connects Lorentzian spectral geometry to the role played by Weyl's law in Riemannian geometry.

Understanding the neural dynamics underlying motor learning is pivotal for revealing how the brain adapts to acquire new skills. Plasticity in the primary motor cortex is essential for motor skill learning, with Layer 5 pyramidal tract (L5 PT) neurons playing a key role in the process. Previous studies have shown dendritic spines undergo plasticity changes during motor learning, yet the resulting changes at the dendritic level remain unknown. To investigate changes occurring in apical tuft dendrites during motor learning, we performed repeated two-photon calcium imaging of the same L5 PT apic

…approach, combining Graph Theory and Riemannian Geometry to build "a graph of graphs" a

Experimental work across a variety of species has demonstrated that spontaneously generated behaviors are robustly correlated to variation in neural activity within the cerebral cortex. Indeed, functional magnetic resonance imaging (fMRI) data suggest that functional connectivity in cortical networks varies across distinct behavioral states, providing for the dynamic reorganization of patterned activity. However, these studies generally lack the temporal resolution to establish links between cortical signals and the continuously varying fluctuations in spontaneous behavior typically observed i