Thank you.

And I'm guessing there might be some delay because we're so far apart.

So yeah, thank you for the introduction and invitation.

And so I think what I wanted to do today was rather than focus on any particular results

to give a broad overview of some of the ideas of why we're solving some of the problems

in this area in particular ways.

So rather than formulating and solving a certain mathematical optimization problem because

it's interesting or say deriving a theorem, you know, because we thought of a hypothesis

and it hasn't been proven.

We're trying to target specific types of grand challenge type problems.

And Martin, I'm guessing you've probably seen some of these slides before.

They're somewhat recycled.

But I do think that there's some recent results that I've included on the implications of

the monotonicity theory that could be used to guide some of your more theoretical research

or set the context of when it's appropriate to use.

Yeah, friction dominated flow.

This would be exactly.

So we did some work in a recent study that I think would be of interest to you.

So quickly about Los Alamos National Laboratory.

This is a federally funded research and development center that's operated by the National Nuclear

Security Administration of the U.S. Department of Energy.

And the focus is on solving complex interdisciplinary and multi physics problems.

So we have something called the Advanced Network Science Initiative, which is now about four

years old.

And this is an interdisciplinary team with expertise in physics, applied math, statistics,

optimization, electrical engineering, mechanical engineering, computer science, software development

and cloud computing.

The focus of most of our work is theoretical and algorithm development for structure optimization

and control.

Although people are working on other problems in novel computing architectures and statistical

physics and network science.

So we also provide some third party independent science based input into complex problems

of national concern.

So that's what sets us apart from most universities.

We have a lot of reach back into other science based capabilities at the lab like space science,

space weather, earth and environmental science, chemistry and biology and then extreme physics

and their effects.

So the work I'll be talking about here was done with a lot of people.

So in the top row, these are people who are or were at Los Alamos.

In the middle row are some academic collaborators and in the bottom row, students and people

at companies.

This is by no means comprehensive.

So I'll talk about some motivating energy infrastructure challenges, how we take inspiration

from the power grid, discuss modeling of physics and engineering of gas pipelines for the purpose

of large scale control, talk about how to do gas market design or price natural gas

using optimization, review some state and parameter estimation work, then the monotonicity

properties and their modeling implications and if there's interest, talk about how this

work could be used to do formal coordination between electricity and natural gas transmission.

So the challenges that motivate this work stem from its goal to modernize the power

grid from dirty and centralized generation to clean and distributed, so what we call