"Nonlinearity + Networks: A 2020 Vision"

Here is the final, published version of my forward-looking book chapter about where network science and some directions that it is heading. It appears in the book Emerging Frontiers in Nonlinear Science.

Title: Nonlinearity + Networks: A 2020 Vision

Abstract: I briefly survey several fascinating topics in networks and nonlinearity. I highlight a few methods and ideas, including several of personal interest, that I anticipate to be especially important during the next several years. These topics include temporal networks (in which a network’s entities and/or their interactions change in time), stochastic and deterministic dynamical processes on networks, adaptive networks (in which a dynamical process on a network is coupled to dynamics of network structure), and network structure and dynamics that include “higher-order” interactions (which involve three or more entities in a network). I draw examples from a variety of scenarios, including contagion dynamics, opinion models, waves, and coupled oscillators.

And in case you want to help spread the word, here is my recent tweet.

Here's the final, published version of my forward-looking chapter, "Nonlinearity + Networks: A 2020 Vision": https://t.co/eLdlD45oe8

It appears in the book "Emerging Frontiers in Nonlinear Science" (https://t.co/IBGX7bMyeA)

— Mason Porter (@masonporter) May 30, 2020

Topography Will Tear Us Apart

I feel like this tweet was written just for me.

Unknown Topographies https://t.co/uyNZF9G7TX

— Brian Glaser (@bsglaser) May 29, 2020

(Tip of the cap to Dave Richeson.)

An Awesome Ph.D. Defense by Dr. Yacoub Kureh!

Congratulations to my Ph.D. student Yacoub Kureh on an awesome defense of his thesis!

CONGRATULATIONS to Dr. Yacoub Kureh (@Yacoub_Kureh) on a successful and very impressive defense of his PhD thesis, called "Nonlinear opinion models and other networked systems"!!! pic.twitter.com/fXDNIE1GRX

— Mason Porter (@masonporter) May 28, 2020

Starting Out the Hard Way

I was the TA in the first course that Alex Vladimirsky (now the Director of the PhD program of my graduate alma mater) was ever in charge of.

Two decades later, I am still the most opinionated TA that he's ever had with respect to how to teach a course. People should get the most difficult person out of the way at the beginning, right?

He confirmed this and found out about the ducks at our meeting this morning! It’s perfect bc he tells me that when I need a debugging break, I should talk with a rubber duck, so I think the rubber duck that is living in the tex doc right now has a permanent home 😊 (for now)

— Mallory Gaspard (@mallorygaspard) May 27, 2020