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<title>Zheng Gan</title>


<H1><center>Welcome to Zheng Gan's Home Page</center> </H1>

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<font size="5"><b>Zheng Gan </b> </font><br><p>

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Ph.D Candidate
<br>Advisor : Professor <a href="http://www.ruf.rice.edu/~dtd3/" style="text-decoration:none">David Damanik</a>
<br>Office: Basement 14, Herman Brown
<br>Phone: 713-348-2036


<br>E-mail:  [my first name].[my last name] (at) rice.edu </a>

<br> Mailing Address: <a href="http://math.rice.edu/" style="text-decoration:none">Math Department</a> - MS 136, <a href="http://www.rice.edu/" style="text-decoration:none">Rice University</a>, 6100 S. Main St., Houston, TX 77005.

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<p><strong>Curriculum Vitae:</strong>

<a href="http://math.rice.edu/~zg2/cv/gan_cv.pdf" style="text-decoration:none"> CV </a>
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<p><strong>Hometown:</strong>   <a href="http://en.wikipedia.org/wiki/Huzhou" style="text-decoration:none"> Huzhou</a> city ( it is known as the "Land of Fish and Rice" ), <a href="http://en.wikipedia.org/wiki/Zhejiang" style="text-decoration:none"> Zhejiang </a> province, China </p>


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<p><strong>Education:</strong>


</p> <ul>
 

     <li> <a href="http://www.rice.edu" style="text-decoration:none"> Rice University</a>,  Houston,            U.S.A.,              PhD,              Sept. 2007 --- Present  </li>

     <li> <a href="http://www.ustc.edu.cn/" style="text-decoration:none"> Univ. of Science and Technology of China</a>,  Hefei,   China,        B.S.,        Sept. 2003 --- June 2007 </li>


     <li> <a href="http://www.hzhs.net/" style="text-decoration:none"> Huzhou High School</a>,    Huzhou,   China,              Sept. 2000 --- June 2003 </li>


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<p><strong> Research Interests: &#160 &#160 &#160 &#160 Spectral Theory of Schr&ouml;dinger Operators; &#160 Quantum Dynamics </strong>

</p><ul>


&#160 &#160  Recently, I am very interested in limit-periodic Schr&ouml;dinger operators, which could be regarded as ones generated by continuous sampling
along the orbits of a minimal translation of a Cantor group. In this context, I am studying some basic and very important roles in quantum dynamics, like Lyapunov exponents, integrated densities of states, spectrum types (a.c.,s.c. & p.) and etc. 

</ul>


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<p><strong>Research Publications:</strong>

</p> <ul>
    <li> An Exposition of Relation among Limit-Periodic Sequences, Cantor Groups and Minimal Translations, in preparation  
  
    <li> Limit-Periodic Schr&ouml;dinger Operators with Pure Point Spectrums (with D. Damanik), work in progress

    <li> Optimality of log H&ouml;lder Continuity of the Integrated Density of States (with H. Kr&uuml;ge),  preprint, [<a href="http://math.rice.edu/~zg2/publications/IdsOp.pdf">PDF</a>] </li>

    
    <li> Limit-Periodic Schr&ouml;dinger Operators in the Regime of Positive Lyapunov Exponents (with D. Damanik),  preprint, [<a href="http://math.rice.edu/~zg2/publications/Damanik-Gan II-2009-06-08.pdf">PDF</a>] </li>

  
    <li> Spectral Properties of Limit-Periodic Schr&ouml;dinger Operators (with D. Damanik), to appear in Discrete and Continuous Dynamical Systems, [<a href="http://math.rice.edu/~zg2/publications/Damanik-Gan-DCDS-Revision.pdf">PDF</a>] </li>
</ul>


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<p><strong>Teaching:</strong>

</p><ul>

<li> <a href="http://math.rice.edu/~zg2/teaching/index.html" style="text-decoration:none">My Teaching Courses</a> </li>

<li> <a href="http://math.rice.edu/~zg2/teaching/philosophy/index.html" style="text-decoration:none">About Teaching Philosophy</a> </li>

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<p><strong> Math Calendar:</strong>

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<li><a href="http://www.ams.org/mathcal/" style="text-decoration:none"> AMS Calendar </a> </li>

<li><a href="http://math.rice.edu/~klm1/colloquium.html" style="text-decoration:none"> Rice Math Colloquium </a></li>

<li><a href="http://www.ruf.rice.edu/~dtd3/Geometry-Analysis-Seminar.htm" style="text-decoration:none"> Rice Geometry-Analysis Seminar </a></li>

<li><a href="http://www.ruf.rice.edu/~dtd3/Brown-Bag-Seminar.htm" style="text-decoration:none"> Rice VIGRE Brown Bag Seminar</a></li>

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<p><strong><a href="http://math.rice.edu/~zg2/webpages/index.html" style="text-decoration:none">Some Web-page Links</a></strong>


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<i>This page was last modified November 20, 2009.</i>

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