Hidden Geometry of Bidirectional Grid-Constrained Stochastic Processes

• Published in: Journal of Probability and Statistics Vol. 2021; pp. 1 - 13
• Main Authors: Taranto, Aldo, Khan, Shahjahan
• Format: Journal Article
• Language: English
• Published: New York Hindawi 25.05.2021; Hindawi Limited; Wiley
• Subjects: Algorithms; Artificial intelligence; Chemical reactions; Concentration gradient; Convex analysis; Diffusion; Game theory; Geometry; Interest rates; Partial differential equations; Probability; Queuing theory; Random variables; Stochastic models; Stochastic processes

Bidirectional Grid Constrained (BGC) stochastic processes (BGCSPs) are constrained Itô diffusions with the property that the further they drift away from the origin, the more the resistance to movement in that direction they undergo. The underlying characteristics of the BGC parameter ΨXt,t are inve...