"How fractal geometry determines urban scaling laws" - CSH Vienna

CSH Talks by Carlos Molinero and Simon Rella


Sep 13, 2019 | 15:0016:00

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The lecture by Carlos Molinero and Simon Rella from CSH Vienna will take place at the Complexity Science Hub Vienna.

Location: 201

If you are interested in participating, please email to office@csh.ac.at

 

Carlos Molinero: “How fractal geometry determines urban scaling laws”

Urban scaling laws characterise non-linear and linear behaviours that occur in the context of a city. They relate population size to a large number of variables and are fundamental to achieve a comprehensive explanation of the urban environment. This talk presents an explanation for the appearance of these non-linear behaviours that emerge from the fractal geometry of a city. A scaling law in this framework has an exponent that naturally arises from the proportion between the fractal dimension of the road infrastructure and the fractal dimension of the population. This perspective allows us to predict a number of other scaling laws such as the average number of levels in a city and furthermore it shows that at a critical population, cities change from a horizontal expansion and densification to a three-dimensional growth.

 

Simon Rella: “Dynamics of Driven Sandpiles as Sample Space Reducing Processes”

Many driven dissipative systems can be characterized thermodynamically as being non-ergodic and violating detailed balance.  Recently Sample Space Reducing Processes (SSRPs) were introduced as a potential method to understand the statistics emerging from such systems. The famous Oslo Sand Pile Model is studied, which was originally introduced to describe the dynamics of driven piles of granular matter. Such models are usually conceived within the framework of Self Organized Criticality (SOC), as they show powerlaw statistics in their avalanche size distributions. We ask the question, whether these statistics can also be deduced from an underlying SSRP.

Bio

Simon Rella is a student of Physics and currently working on his Master Thesis at the CSH Vienna. His research interests include self organized systems and social insects. He holds a bachelor’s degree in physics and astrophysics from the University of Vienna.

Details

Date
Sep 13, 2019
Time
15:00—16:00

Organizer

Complexity Science Hub Vienna
Phone
+43 1 59991 600
Email
office@csh.ac.at
Website
www.csh.ac.at

Venue

Complexity Science Hub Vienna
Josefstaedter Straße 39
Wien,1080
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Phone
+43 1 59991 600
Website
www.csh.ac.at