The rapid adoption of cloud-native and containerized microservices, distributed data processing frameworks, and continuous delivery practices has led to a massive increase in application complexity.

The analysis of boundary control systems on networks and metric graphs represents a confluence of operator theory, partial differential equations and network analysis. In this interdisciplinary field, ...

Join our daily and weekly newsletters for the latest updates and exclusive content on industry-leading AI coverage. Learn More Too many of the standard metrics tracked by companies today are output ...

YouTube is upgrading its analytics capabilities, allowing creators to compare multiple metrics side-by-side for the first time. This update specifically pertains to data in the ‘deep dive’ section of ...

We develop a general framework on Dirichlet spaces to prove a weak form of the Bakry-Émery estimate and study its consequences. This estimate may be satisfied in situations, like metric graphs, where ...

In this paper, a new type of graph contractive multi-valued mappings in a metric space with a directed graph is introduced and studied. A common fixed point theorem of those two multi-valued mappings ...