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00: The Theoretical Minimum: What You Need to Know to Start, 09.08.2017

1:16:30
 
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Content provided by Karlsruher Institut für Technologie (KIT). All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Karlsruher Institut für Technologie (KIT) or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.
00 | 0:00:00 Start 0:02:45 The Speakers... 0:15:47 Introduction 0:18:49 van Leeuwenhoek's estimate 0:19:28 Projections all use logistic curve 0:20:39 Carrying capacity K 0:21:54 Equilibrium versus steady-state 0:28:06 Stability classification of logistic Equ. 0:28:58 Relaxation time scale 0:29:45 Longer term view of population growth 0:30:58 Longer term view ... 0:32:31 von Foerester et al. (1960) 0:41:16 von Foerester et al. (1960) – the Doomsday date 0:46:00 Review of Johansen and Sornette(2001) – Physica A(vol. 294, 465-502) 0:47:49 Scaling and Complex Exponents 0:52:04 Example: Human population 0:52:41 Project idea 0:54:10 Complex Exponents 0:54:37 New way to fingerprint collapse in complex systems? 0:56:11 Vorticity Equation: Instantaneous version 0:58:19 Blow up in vorticity dynamics 1:00:03 Connection to critical points in complex systems 1:01:03 Critical points 1:02:03 Critical slowdown at equilibrium points 1:03:48 Critical slow-down 1:05:25 Discrete scal invariance 1:06:48 Project idea: A dynamical model exhibiting log-periodic oscillations 1:08:41 Salient points covered in the lecture: 1:09:17 Conclusion 1:09:44 Other ideas for group projects:
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15 episodes

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Manage episode 199778684 series 2103354
Content provided by Karlsruher Institut für Technologie (KIT). All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Karlsruher Institut für Technologie (KIT) or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.
00 | 0:00:00 Start 0:02:45 The Speakers... 0:15:47 Introduction 0:18:49 van Leeuwenhoek's estimate 0:19:28 Projections all use logistic curve 0:20:39 Carrying capacity K 0:21:54 Equilibrium versus steady-state 0:28:06 Stability classification of logistic Equ. 0:28:58 Relaxation time scale 0:29:45 Longer term view of population growth 0:30:58 Longer term view ... 0:32:31 von Foerester et al. (1960) 0:41:16 von Foerester et al. (1960) – the Doomsday date 0:46:00 Review of Johansen and Sornette(2001) – Physica A(vol. 294, 465-502) 0:47:49 Scaling and Complex Exponents 0:52:04 Example: Human population 0:52:41 Project idea 0:54:10 Complex Exponents 0:54:37 New way to fingerprint collapse in complex systems? 0:56:11 Vorticity Equation: Instantaneous version 0:58:19 Blow up in vorticity dynamics 1:00:03 Connection to critical points in complex systems 1:01:03 Critical points 1:02:03 Critical slowdown at equilibrium points 1:03:48 Critical slow-down 1:05:25 Discrete scal invariance 1:06:48 Project idea: A dynamical model exhibiting log-periodic oscillations 1:08:41 Salient points covered in the lecture: 1:09:17 Conclusion 1:09:44 Other ideas for group projects:
  continue reading

15 episodes

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