[4] Recovering the Shape of a Quantum Graph. Integral Equations and Operator Theory (2020). [5] Control, Observation and Identification Problems for the Wave Equation on Metric Graphs.

Mathematicians have long sought to develop algorithms that can compare any two graphs. In practice, many ...

Researchers introduced the "Diagram of Thought" (DoT) framework, enhancing large language models' reasoning through a ...

Stabilizing an inverted pendulum is a classic problem in control theory, and if you’ve ever taken a control systems class you might remember seeing pages full of differential equations and bode ...

The media regularly refers to "exponential" growth in the number of cases of COVID-19 respiratory disease, and deaths from the disease, but the numbers suggest something else, a "small world ...

In classical control theory, both open-loop and closed-loop control systems are commonly used. These systems are well understood and rather straightforward, controlling everything from washing ...

The scope of Ramsey theory, which examines the patterns that emerge as a group gets larger, extends well beyond social gatherings. It also has direct and crucial implications for a branch of ...

Classical control theory has been in existence for a very long time. Engineering courses have traditionally taught mathematical techniques involving poles and zeros and very abstract mathematics that ...

Control and inverse problems in wave equations and graphs constitute a dynamic field at the intersection of applied mathematics, engineering and physics.