Fractional operator dynamics concerns the study of partial differential equations (PDEs) in which derivatives of non‐integer order induce spatial or temporal nonlocality, thereby capturing long-range ...

Hypoelliptic differential operators arise naturally in the study of stochastic dynamics when randomness interacts with deterministic flows in a degenerate fashion. Unlike uniformly elliptic operators, ...

Lars V. Hormander, a Swede who won the most prestigious award in mathematics for his groundbreaking work on partial differential equations, which has found broad applications across many branches of ...