Interconverting Models of Gray Matrix and Geographic Coordinates Based on Space Analytic Geometry

Editorial: Brain Extracellular Space: Geometry, Matrix and Physiological Importance

On Geometry and Matrix Models

We point out two extensions of the relation between matrix models, topological strings and N = 1 supersymmetric gauge theories. First, we note that by considering double scaling limits of unitary matrix models one can obtain large N duals of the local CalabiYau geometries that engineer N = 2 gauge theories. In particular, a double scaling limit of the Gross-Witten one-plaquette lattice model gi...

Assessing users' visual perception based on the regular and irregular geometry of space organizer

Perception is a cognitive process depends on various factors of the environment. The user's mentality can affect his perception, understanding, and behavior in the environment. Organizing the environment is one of the important factors in the formation of spatial communication of elements that can be an important factor in understanding the person from his or her surroundings. In this research,...

editorial: brain extracellular space: geometry, matrix and physiological importance

0

Complex Geometry of Matrix Models

The paper contains some new results and a review of recent achievements, concerning the multisupport solutions to matrix models. In the leading order of the ’t Hooft expansion for matrix integral, these solutions are described by quasiclassical or generalized Whitham hierarchies and are directly related to the superpotentials of four-dimensional N = 1 SUSY gauge theories. We study the derivativ...