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	<title>Ben Good Lately?</title>
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		<title>Ben Good Lately?</title>
		<link>http://benjamingood.wordpress.com</link>
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		<item>
		<title>symmetries and conservation laws</title>
		<link>http://benjamingood.wordpress.com/2011/05/14/symmetries-and-conservation-laws/</link>
		<comments>http://benjamingood.wordpress.com/2011/05/14/symmetries-and-conservation-laws/#comments</comments>
		<pubDate>Sat, 14 May 2011 21:14:44 +0000</pubDate>
		<dc:creator>benjamingood</dc:creator>
				<category><![CDATA[classical mechanics]]></category>
		<category><![CDATA[physics]]></category>

		<guid isPermaLink="false">http://benjamingood.wordpress.com/?p=178</guid>
		<description><![CDATA[One of the most beautiful results in modern physics is the connection between symmetry and conservation laws established by Emmy Noether near the beginning of the 20th century. The present paper served as a prelude to a discussion we had earlier this year about whether such results can be extended to dynamical systems that are [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benjamingood.wordpress.com&amp;blog=11218985&amp;post=178&amp;subd=benjamingood&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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			<media:title type="html">benjamingood</media:title>
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		<title>renormalization group</title>
		<link>http://benjamingood.wordpress.com/2011/05/14/renormalization-group/</link>
		<comments>http://benjamingood.wordpress.com/2011/05/14/renormalization-group/#comments</comments>
		<pubDate>Sat, 14 May 2011 19:23:55 +0000</pubDate>
		<dc:creator>benjamingood</dc:creator>
				<category><![CDATA[physics]]></category>
		<category><![CDATA[statistical mechanics]]></category>

		<guid isPermaLink="false">http://benjamingood.wordpress.com/?p=156</guid>
		<description><![CDATA[Renormalization group (RG) ideas are all the rage in physics these days, and one of my goals for graduate school is to become more familiar with this framework. Here are my thoughts so far. The renormalization group is an extremely powerful tool that can be used to determine which microscopic aspects of a system are [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benjamingood.wordpress.com&amp;blog=11218985&amp;post=156&amp;subd=benjamingood&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">benjamingood</media:title>
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		<title>statistical mechanics: inference for stationary distributions</title>
		<link>http://benjamingood.wordpress.com/2010/09/25/statistical-mechanics-inference-for-stationary-distributions/</link>
		<comments>http://benjamingood.wordpress.com/2010/09/25/statistical-mechanics-inference-for-stationary-distributions/#comments</comments>
		<pubDate>Sat, 25 Sep 2010 18:39:12 +0000</pubDate>
		<dc:creator>benjamingood</dc:creator>
				<category><![CDATA[physics]]></category>
		<category><![CDATA[statistical mechanics]]></category>

		<guid isPermaLink="false">http://benjamingood.wordpress.com/?p=145</guid>
		<description><![CDATA[E.T. Jaynes is famous for his (often quite dogmatic) promotion of the idea that the whole of statistical mechanics is nothing more than a statistical inference problem. While I&#8217;m not sure if I buy his entire program, these ideas have gotten me interested trying to figure out which parts of statistical mechanics follow from the [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benjamingood.wordpress.com&amp;blog=11218985&amp;post=145&amp;subd=benjamingood&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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		<title>The Second Law of Thermodynamics</title>
		<link>http://benjamingood.wordpress.com/2010/09/15/the-second-law-of-thermodynamics/</link>
		<comments>http://benjamingood.wordpress.com/2010/09/15/the-second-law-of-thermodynamics/#comments</comments>
		<pubDate>Thu, 16 Sep 2010 04:01:17 +0000</pubDate>
		<dc:creator>benjamingood</dc:creator>
				<category><![CDATA[physics]]></category>
		<category><![CDATA[statistical mechanics]]></category>

		<guid isPermaLink="false">http://benjamingood.wordpress.com/?p=101</guid>
		<description><![CDATA[Thermodynamics is an extremely powerful framework for making quantitative predictions about the behavior of macroscopic parameters for systems with huge numbers of interacting components. The problem, of course, lies in justifying this thermodynamic framework from more fundamental physical principles like Newton&#8217;s equations of quantum mechanics. The first law of thermodynamics easily lends itself to a [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benjamingood.wordpress.com&amp;blog=11218985&amp;post=101&amp;subd=benjamingood&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<title>random graphs with communities and arbitrary degrees</title>
		<link>http://benjamingood.wordpress.com/2010/01/19/random-graphs-with-communities-and-arbitrary-degrees/</link>
		<comments>http://benjamingood.wordpress.com/2010/01/19/random-graphs-with-communities-and-arbitrary-degrees/#comments</comments>
		<pubDate>Tue, 19 Jan 2010 22:38:23 +0000</pubDate>
		<dc:creator>benjamingood</dc:creator>
				<category><![CDATA[complexity]]></category>
		<category><![CDATA[networks]]></category>

		<guid isPermaLink="false">http://benjamingood.wordpress.com/?p=86</guid>
		<description><![CDATA[Classical Erdös-Renyi random graphs lack many of the properties commonly associated with networks observed in the real world. In particular, they are restricted to binomial or Poisson degree distributions and are generated without a particular modular structure in mind (i.e., no group of nodes is treated any differently than any other group). Several additional random [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benjamingood.wordpress.com&amp;blog=11218985&amp;post=86&amp;subd=benjamingood&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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		<title>clearing up the configuration model</title>
		<link>http://benjamingood.wordpress.com/2010/01/18/clearing-up-the-configuration-model/</link>
		<comments>http://benjamingood.wordpress.com/2010/01/18/clearing-up-the-configuration-model/#comments</comments>
		<pubDate>Mon, 18 Jan 2010 21:27:02 +0000</pubDate>
		<dc:creator>benjamingood</dc:creator>
				<category><![CDATA[complexity]]></category>
		<category><![CDATA[networks]]></category>

		<guid isPermaLink="false">http://benjamingood.wordpress.com/?p=68</guid>
		<description><![CDATA[It has long been known that classical Erdös-Renyi random graphs are rather limited in the types of degree distributions they can produce. The degree of any given node follows a binomial distribution, which goes over into a Poisson distribution in the sparse limit. In contrast, many real-world networks possess power law degree sequences that would [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benjamingood.wordpress.com&amp;blog=11218985&amp;post=68&amp;subd=benjamingood&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>1</slash:comments>
	
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			<media:title type="html">benjamingood</media:title>
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		<title>degeneracy problems for community detection</title>
		<link>http://benjamingood.wordpress.com/2010/01/03/degeneracy-problems-for-community-detection/</link>
		<comments>http://benjamingood.wordpress.com/2010/01/03/degeneracy-problems-for-community-detection/#comments</comments>
		<pubDate>Sun, 03 Jan 2010 23:20:42 +0000</pubDate>
		<dc:creator>benjamingood</dc:creator>
				<category><![CDATA[complexity]]></category>
		<category><![CDATA[networks]]></category>

		<guid isPermaLink="false">http://benjamingood.wordpress.com/?p=53</guid>
		<description><![CDATA[In the summer of 2008 I participated in the REU program at the Santa Fe Institute (which I highly recommend to anyone who is interested), and there I started working on the problem of community detection in complex networks, and in particular, the method known popularly known as modularity maximization. This paper is the result [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benjamingood.wordpress.com&amp;blog=11218985&amp;post=53&amp;subd=benjamingood&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>1</slash:comments>
	
		<media:content url="" medium="image">
			<media:title type="html">benjamingood</media:title>
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			<media:title type="html">modularity landscape</media:title>
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		<title>quantum computing</title>
		<link>http://benjamingood.wordpress.com/2010/01/03/quantum-computing/</link>
		<comments>http://benjamingood.wordpress.com/2010/01/03/quantum-computing/#comments</comments>
		<pubDate>Sun, 03 Jan 2010 22:48:04 +0000</pubDate>
		<dc:creator>benjamingood</dc:creator>
				<category><![CDATA[physics]]></category>
		<category><![CDATA[quantum mechanics]]></category>

		<guid isPermaLink="false">http://benjamingood.wordpress.com/?p=45</guid>
		<description><![CDATA[Quantum computing is an interesting application of the principles of quantum mechanics that has the potential to revolutionize the field of computing and computer science, and it dominated my interest during my first few years studying physics. This paper, written for an introductory quantum mechanics course at Swarthmore college tought by John Townsend, is intended [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benjamingood.wordpress.com&amp;blog=11218985&amp;post=45&amp;subd=benjamingood&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">benjamingood</media:title>
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		<title>large deviation theory</title>
		<link>http://benjamingood.wordpress.com/2010/01/03/large-deviation-theory/</link>
		<comments>http://benjamingood.wordpress.com/2010/01/03/large-deviation-theory/#comments</comments>
		<pubDate>Sun, 03 Jan 2010 22:35:48 +0000</pubDate>
		<dc:creator>benjamingood</dc:creator>
				<category><![CDATA[mathematics]]></category>
		<category><![CDATA[probability]]></category>

		<guid isPermaLink="false">http://benjamingood.wordpress.com/?p=41</guid>
		<description><![CDATA[Large deviation theory is the study of random variables whose probability densities follow a decaying exponential of the form as grows large, where is known as the rate-function.  This naturally leads to a generalization of both the law of large numbers and the central limit theorem, and forms a natural framework upon which a rigorous [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benjamingood.wordpress.com&amp;blog=11218985&amp;post=41&amp;subd=benjamingood&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">benjamingood</media:title>
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		<title>fluctuations in statistical mechanics</title>
		<link>http://benjamingood.wordpress.com/2010/01/03/fluctuations-in-statistical-mechanics/</link>
		<comments>http://benjamingood.wordpress.com/2010/01/03/fluctuations-in-statistical-mechanics/#comments</comments>
		<pubDate>Sun, 03 Jan 2010 22:00:21 +0000</pubDate>
		<dc:creator>benjamingood</dc:creator>
				<category><![CDATA[physics]]></category>
		<category><![CDATA[statistical mechanics]]></category>

		<guid isPermaLink="false">http://benjamingood.wordpress.com/?p=36</guid>
		<description><![CDATA[The concept of fluctuations is a fundamental part of statistical mechanics, yet many introductory textbooks are quite vague about the difference between statistical uncertainty and temporal fluctuations. This can lead to much confusion for a student who is new to the subject (it certainly did for me). This paper clarifies the distinction between these two [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benjamingood.wordpress.com&amp;blog=11218985&amp;post=36&amp;subd=benjamingood&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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