Professor of Mathematics at UCLA and External Professor at Santa Fe Institute.
I am an applied mathematician (and occasional physicist) who studies networks, complex systems, nonlinear systems, and their applications.
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Is there a comprehensive graduate-level text or review on the application of linear algebra to graphs and networks?
"The Legends of the Revised Figures" ought to be the title of a fantasy novel.
Unfortunately, it is part of a response to a referee comment.
I prefer the alternative parsing of this title, which is how I parsed it at first before realizing that that couldn't be what the authors intended.
In fact, screw all applications of discrete dynamical systems! ;P
How about: "Screw machine learning and its applications to artificial intelligence" ?
This evening, I have written my parody of "One Way Or Another" (by Blondie) about trying to solve a partial differential equation (PDE).
In this parody, the person who is trying to solve the PDE gets increasingly desperate as the song goes on.
The inspiration is that whenever one of my students in a meeting (as occurred a few days ago) says something like "One way or another, I'm going to solve it.", my mind reacts immediately with "I'm gonna solve it, solve it, solve it, solve it."
For example: The song "Romeo and Juliet" (by Dire Straits) in the movie Hot Fuzz. :)
My favorite authors. 🙂
Fragility of complex systems - leads?
I'm curious to widen my net wrt the different ways that complex systems can be fragile (versus robust). Any leads on good things to read?
To plant some seeds of different slices through it:
Adaptive systems (like ecosystems) tend to incorporate feedback. Fragility happens when a small change (eg in one node) leads to a catastrophe. These networks become more fragile as they increase in size:
It's really hard to engineer a complex system that is robust to catastrophic failures. For example, the 2003 NE US blackout happened when I single power line fell into a tree.
Discussion of fragility is peppered all over. eg, here is an example of of it related to managing healthcare systems:
As these examples reflect, I'm really curious to learn about anything!
A reminder of a particularly apt SMBC panel that appears to hold true. :)
Today is apparently Math Storytelling Day (which I have never heard of).
So, here's a story: There was once a very negative number. He was very sad. But then he discovered that the root of the problem was that he had imaginary friends. So he decided to be absolutist about it to make them positive. Unfortunately, as a result of this, he could no longer differentiate between them. But at least he confined himself to a single branch of the mathematical timeline. The end.
Nearly half the world doesn’t have access to basic sanitation.
A great fortune for a mathematician!
"Temperature is a scam propagated by statistical physicists to sell more thermodynamics."
This is Dodger Stadium today in Los Angeles, California, USA.
There is lots of water (because of the tropical storm).
[Note: I got the picture from a friend. I don't know who took the picture.]
'AI spells trouble for all the Alanas, Alannas, Alannahs, Alainnas, Alans, Alains, Allans, Allens, Alens, Alins, Aluns and other persons whose names begin with the letter pair “A then L” or the pair “A then I”.' [my col in New Scientist] https://www.newscientist.com/article/mg25934521-800-is-it-ai-or-just-short-for-alan-a-reader-rages-against-the-machine/
It looked like somebody's t-shirt had the words "You are solved" on the back, and I was pondering what that might mean and what equations they might be thinking about.
It turns out that the shirt actually says "You are so loved".
"Against his will, Will will will his house to charity."
Orel Hershiser had a sentence with two consecutive 'will's (because of Will Smith) and made a remark about it, so I just tried to see how far I could get. I'm up to four (with one comma) in a sensible sentence.
We have reached the point where some staff members are using 'u', instead of 'you', in work e-mails.
Maybe I am too old-school, but I really don't like this.