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Tag: complexity science


Fractals and Scaling: Dimension of fractal “snowflake”

November 2, 2019 at 10:16 am | Articles, Blog | Ruben Talley -

In this video I’ll introduce a mathematical fractal known sometimes as the snowflake fractal and then we calculate its dimension. So the snowflake fractal like many fractals as we’ll see is made by an iterative process. So we start with a single dot. in the every step, I am gonna take the shape that I

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“Fractals and Scaling: Dimension of fractal “snowflake””

Complexicon: Resilience

October 28, 2019 at 8:15 pm | Articles, Blog | Ruben Talley -

Resilience refers to the ability of a dynamical system to return to its original state and function after being disturbed by some external force or event. A system that is resilient will return to its original state and function, while a system that is not resilient will instead settle to a new equilibrium that was

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“Complexicon: Resilience”

Fractals and Scaling: Self-similar and scale-free

October 26, 2019 at 12:17 pm | Articles, Blog | Ruben Talley -

In this video, I’ll say more about self-similarity. So first just the reminder that self-similarity means that an object is made up of smaller copies of itself. So looks the same at different scales. And moreover, the self-similarity continues across many scales. So it’s not just like, oh here is a big thing there is

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“Fractals and Scaling: Self-similar and scale-free”

Introduction to Complexity: Properties Common to Complex Systems

October 23, 2019 at 1:14 pm | Articles, Blog | Ruben Talley -

Now that we’ve seen several examples of complex systems, let’s try to abstract some of the properties of the ones that we’ve seen. The first property is one that I’ve mentioned several times. Complex systems are composed of simple components, often called agents. That is, they’re simple, relative to the system as a whole. Another

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“Introduction to Complexity: Properties Common to Complex Systems”

Introduction to Complexity: Wrapping Up

October 22, 2019 at 7:15 pm | Articles, Blog | Ruben Talley -

^10.5 wrapping up We start off this course with the question What are Complex Systems? Our informal lanser ? was there are large network of simple interacting elements, which , following simple rules, produce emergent, collective, complex behavior. and I told you that this course would provide some insight into what these all means. the

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“Introduction to Complexity: Wrapping Up”

Fractals and Scaling: Interview: Christa Brelsford

October 1, 2019 at 6:31 pm | Articles, Blog | Ruben Talley -

Dr. Feldman: So, our guest today is Christa Brelsford. She is a post-doc at the Santa Fe Institute. She has a B.S. in Civil Engineering from Columbia University and also a master’s in Climate and Society. She recently completed her Ph.D. in the School of Sustainability at Arizona State, and then came to join us

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“Fractals and Scaling: Interview: Christa Brelsford”

Fractals and Scaling: How many power laws are from phase transitions?

at 4:32 pm | Articles, Blog | Ruben Talley -

So we’ve seen that phase transitoins give rise to power laws at the critical point, at the point where the system goes from one phase to another where the transition occurs, many quantities of interest are distributed according to a power law, and that’s not the case on either side of that transition. So, power

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“Fractals and Scaling: How many power laws are from phase transitions?”

Fractals and Scaling: Exploring the Sierpiński triangle (and Properties Quiz 1 solutions)

September 12, 2019 at 10:29 am | Articles, Blog | Ruben Talley -

In this video we’ll think about the area in the perimeter of the Sierpinski triangle. And this will be similar to the calculations or considerations we used when figuring out the length of the Koch curve. And in the course of this video I’ll provide solutions to the previous quiz. So here are the steps

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“Fractals and Scaling: Exploring the Sierpiński triangle (and Properties Quiz 1 solutions)”