We review progress on the modeling and theoretical fronts in the quest to unravel the computational properties of the grid cell code and to explain the mechanisms underlying grid cell dynamics. The goals of the review are to outline a coherent framework for understanding the dynamics of grid cells and their representation of space; to critically present and draw contrasts between recurrent netw...

grid computing is an emerging computing paradigm that will have significant impact on the next generation information infrastructure. due to the largeness and complexity of grid system, its quality of service, performance and reliability are difficult to model, analyze and evaluate. this paper proposes a virtual tree-structured model of the grid service. this model simplifies the physical struc...

Establishing how grid cells are anatomically arranged, on a microscopic scale, in relation to their firing patterns in the environment would facilitate a greater microcircuit-level understanding of the brain's representation of space. However, all previous grid cell recordings used electrode techniques that provide limited descriptions of fine-scale organization. We therefore developed a techni...

In this article, we propose and analyse Particle-In-Cell (PIC) methods embedding sparse grid reconstructions such as those introduced in Ricketson Cerfon [ Plasma Phys. Control. Fusion 59 (2017) 024002] Muralikrishnan et al . J. Comput. X 11 (2021) 100094]. The offer a significant improvement on the statistical error of PIC schemes well reduction complexity problem providing electric field. Mai...