Friday, January 19, 2018

Headline of the Day: Well Played

Look closely at the various ways that one can parse this headline. ;)

(Tip of the cap to David Kung.)

Monday, January 15, 2018

Bookstore Snark: I Approve!

Here's some really nice snark from the people who run a Cleveland bookstore.

XKCD: Memorable Quotes

I approve of the new xkcd!

Friday, January 12, 2018

"Synergistic Effects in Threshold Models on Networks"

One of my papers just came out in final form today. Here are the details.

Title: Synergistic Effects in Threshold Models on Networks

Authors: Jonas S. Juul, and Mason A. Porter

Abstract: Network structure can have a significant impact on the propagation of diseases, memes, and information on social networks. Different types of spreading processes (and other dynamical processes) are affected by network architecture in different ways, and it is important to develop tractable models of spreading processes on networks to explore such issues. In this paper, we incorporate the idea of synergy into a two-state ("active" or "passive") threshold model of social influence on networks. Our model’s update rule is deterministic, and the influence of each meme-carrying (i.e., active) neighbor can—depending on a parameter—either be enhanced or inhibited by an amount that depends on the number of active neighbors of a node. Such a synergistic system models social behavior in which the willingness to adopt either accelerates or saturates in a way that depends on the number of neighbors who have adopted that behavior. We illustrate that our model’s synergy parameter has a crucial effect on system dynamics, as it determines whether degree-k nodes are possible or impossible to activate. We simulate synergistic meme spreading on both random-graph models and networks constructed from empirical data. Using a heterogeneous mean-field approximation, which we derive under the assumption that a network is locally treelike, we are able to determine which synergy-parameter values allow degree-k nodes to be activated for many networks and for a broad family of synergistic models.

Thursday, January 11, 2018

Up-Goer Five Text Editor

If any of you want to try explaining an idea using only the ten hundred most common words in the English language, you can try at this page.

(Tip of the cap to Lan Ma.)

Tuesday, January 09, 2018

What Happens at the Joint Mathematics Meetings Stays at the Joint Mathematics Meetings (2018 Edition)

I'm on the train to head to San Diego for the 2018 Joint Mathematics Meetings. I'm really excited about it! Among other things, there are more sessions related to things like networks and data than ever before at this conference. And I always like seeing my many peeps from the mathematics world, including friends who I don't get to see at conferences on more specific topics.

Update: Here is a short video of some nice scenery during my train ride from Los Angeles to San Diego. Below is a still shot that I took just before the video and also a picture of me and a statue of the late, great Tony Gwynn.


And, finally, here is my tweet after I arrived.

Saturday, January 06, 2018

Friday, January 05, 2018

For Good Weather, Call Jenny

Excellent!

(Tip of the cap to Bruno Gonçalves.)