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VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:Complex/Dynamical Systems Seminar - Jonathan Shaw
X-WR-TIMEZONE:Mountain Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20261014T075443Z
UID:tag:localist.com\,2008:EventInstance_48728128173731
DTSTART:20250130T213000Z
DTEND:20250130T223000Z
DESCRIPTION:Jonathan Shaw\, Department of Applied Mathematics\, University 
 of Colorado Boulder\n\nA dynamical system model of gentrification: Explori
 ng a simply rent control strategy\n\nMotivated by the need to understand t
 he factors driving gentrification\, we introduce and analyze two simple dy
 namical systems that model the interplay between three potential drivers o
 f the phenomenon. The constructed systems are based on the assumption that
  three canonical drivers exist: a subpopulation that increases the desirab
 ility of a neighborhood\, the desirability of a neighborhood\, and the ave
 rage price of real estate in a neighborhood. The second model modifies the
  first and implements a simple rent control scheme. For both models\, we i
 nvestigate the linear stability of equilibria and numerically determine th
 e characteristics of oscillatory solutions as a function of system paramet
 ers. Introducing a rent control scheme stabilizes the system\, in the sens
 e that the parameter regime under which solutions approach equilibrium is 
 expanded. However\, oscillatory time series generated by the rent control 
 model are generally more disorganized than those generated by the non-rent
  control model\; in fact\, long-term transient chaos was observed under ce
 rtain conditions in the rent control case. Our results illustrate that eve
 n simple models of urban gentrification can lead to complex temporal behav
 ior.
GEO:40.006791;-105.262818
LOCATION:Engineering Center\, ECCR 257
SUMMARY:Complex/Dynamical Systems Seminar - Jonathan Shaw
URL;VALUE=URI:https://calendar.colorado.edu/event/complexdynamical-systems-
 seminar-jonathan-shaw
CATEGORIES:Colloquium/Seminar
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