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		<title>Scipediacontent: Scipediacontent moved page Draft Content 379091436 to Raimbault 2016a</title>
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				<updated>2021-02-02T00:40:27Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Draft_Content_379091436&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Content 379091436&quot;&gt;Draft Content 379091436&lt;/a&gt; to &lt;a href=&quot;/public/Raimbault_2016a&quot; title=&quot;Raimbault 2016a&quot;&gt;Raimbault 2016a&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 00:40, 2 February 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' style='text-align: center;' lang='en'&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
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		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Raimbault_2016a&amp;diff=199948&amp;oldid=prev</id>
		<title>Scipediacontent: Created page with &quot; == Abstract ==  The Static User Equilibrium is a powerful framework for the theoretical study of traffic. Despite the restricting assumption of stationary flows that intuitiv...&quot;</title>
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		<summary type="html">&lt;p&gt;Created page with &amp;quot; == Abstract ==  The Static User Equilibrium is a powerful framework for the theoretical study of traffic. Despite the restricting assumption of stationary flows that intuitiv...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
The Static User Equilibrium is a powerful framework for the theoretical study of traffic. Despite the restricting assumption of stationary flows that intuitively limit its application to real traffic systems, many operational models implementing it are still used without an empirical validation of the existence of the equilibrium. We investigate its existence on a traffic dataset of three months for the region of Paris, FR. The implementation of an application for interactive spatio-temporal data exploration allows to hypothesize a high spatial and temporal heterogeneity, and to guide further quantitative work. The assumption of locally stationary flows is invalidated in a first approximation by empirical results, as shown by a strong spatial and temporal variability in shortest paths and in network topological measures such as betweenness centrality. Furthermore, the behavior of spatial autocorrelation index of congestion patterns at different spatial ranges suggest a chaotic evolution at the local scale, especially during peak hours. We finally discuss the implications of these empirical findings and describe further possible developments based on the estimation of Lyapunov dynamical stability of traffic flows.&lt;br /&gt;
&lt;br /&gt;
Comment: 9 pages, 5 figures. Forthcoming in Transportation Research Procedia, EWGT2016, 5-7 September 2016, Istanbul&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Original document ==&lt;br /&gt;
&lt;br /&gt;
The different versions of the original document can be found in:&lt;br /&gt;
&lt;br /&gt;
* [http://arxiv.org/abs/1608.05266 http://arxiv.org/abs/1608.05266]&lt;br /&gt;
&lt;br /&gt;
* [https://doi.org/10.1016/j.trpro.2017.03.053 https://doi.org/10.1016/j.trpro.2017.03.053] under the license cc-by-nc-nd&lt;br /&gt;
&lt;br /&gt;
* [https://api.elsevier.com/content/article/PII:S2352146517301898?httpAccept=text/xml https://api.elsevier.com/content/article/PII:S2352146517301898?httpAccept=text/xml],&lt;br /&gt;
: [https://api.elsevier.com/content/article/PII:S2352146517301898?httpAccept=text/plain https://api.elsevier.com/content/article/PII:S2352146517301898?httpAccept=text/plain],&lt;br /&gt;
: [http://dx.doi.org/10.1016/j.trpro.2017.03.053 http://dx.doi.org/10.1016/j.trpro.2017.03.053] under the license https://www.elsevier.com/tdm/userlicense/1.0/&lt;br /&gt;
&lt;br /&gt;
* [https://discovery.ucl.ac.uk/id/eprint/10071805 https://discovery.ucl.ac.uk/id/eprint/10071805],&lt;br /&gt;
: [https://discovery.ucl.ac.uk/id/eprint/10071805/1/1-s2.0-S2352146517301898-main.pdf https://discovery.ucl.ac.uk/id/eprint/10071805/1/1-s2.0-S2352146517301898-main.pdf]&lt;br /&gt;
&lt;br /&gt;
* [https://halshs.archives-ouvertes.fr/halshs-01360243 https://halshs.archives-ouvertes.fr/halshs-01360243],&lt;br /&gt;
: [https://halshs.archives-ouvertes.fr/halshs-01360243/document https://halshs.archives-ouvertes.fr/halshs-01360243/document],&lt;br /&gt;
: [https://halshs.archives-ouvertes.fr/halshs-01360243/file/trpro_ewgt16_raimbault.pdf https://halshs.archives-ouvertes.fr/halshs-01360243/file/trpro_ewgt16_raimbault.pdf]&lt;br /&gt;
&lt;br /&gt;
* [https://www.sciencedirect.com/science/article/pii/S2352146517301898 https://www.sciencedirect.com/science/article/pii/S2352146517301898],&lt;br /&gt;
: [https://halshs.archives-ouvertes.fr/halshs-01360243 https://halshs.archives-ouvertes.fr/halshs-01360243],&lt;br /&gt;
: [https://halshs.archives-ouvertes.fr/halshs-01360243/document https://halshs.archives-ouvertes.fr/halshs-01360243/document],&lt;br /&gt;
: [https://academic.microsoft.com/#/detail/2513427566 https://academic.microsoft.com/#/detail/2513427566]&lt;/div&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

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