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<titleInfo><title>Symplectic non-squeezing for the cubic NLS on the line</title></titleInfo>


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<name type="personal">
  <namePart type="given">Rowan</namePart>
  <namePart type="family">Killip</namePart>
  <role><roleTerm type="text">author</roleTerm> </role></name>
<name type="personal">
  <namePart type="given">Monica</namePart>
  <namePart type="family">Visan</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">056daca0-b8d1-11f0-964f-f91054abf8ca</identifier></name>
<name type="personal">
  <namePart type="given">Xiaoyi</namePart>
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<abstract lang="eng">We prove symplectic non-squeezing for the cubic nonlinear Schrödinger equation on the line via finite-dimensional approximation.</abstract>

<originInfo><publisher>Oxford University Press</publisher><dateIssued encoding="w3cdtf">2019</dateIssued>
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<relatedItem type="host"><titleInfo><title>International Mathematics Research Notices</title></titleInfo>
  <identifier type="issn">1073-7928</identifier>
  <identifier type="eIssn">1687-0247</identifier>
  <identifier type="arXiv">1606.09467</identifier><identifier type="doi">10.1093/imrn/rnx152</identifier>
<part><detail type="volume"><number>2019</number></detail><detail type="issue"><number>5</number></detail><extent unit="pages">1312-1332</extent>
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<ista>Killip R, Vişan M, Zhang X. 2019. Symplectic non-squeezing for the cubic NLS on the line. International Mathematics Research Notices. 2019(5), 1312–1332.</ista>
<short>R. Killip, M. Vişan, X. Zhang, International Mathematics Research Notices 2019 (2019) 1312–1332.</short>
<mla>Killip, Rowan, et al. “Symplectic Non-Squeezing for the Cubic NLS on the Line.” &lt;i&gt;International Mathematics Research Notices&lt;/i&gt;, vol. 2019, no. 5, Oxford University Press, 2019, pp. 1312–32, doi:&lt;a href=&quot;https://doi.org/10.1093/imrn/rnx152&quot;&gt;10.1093/imrn/rnx152&lt;/a&gt;.</mla>
<chicago>Killip, Rowan, Monica Vişan, and Xiaoyi Zhang. “Symplectic Non-Squeezing for the Cubic NLS on the Line.” &lt;i&gt;International Mathematics Research Notices&lt;/i&gt;. Oxford University Press, 2019. &lt;a href=&quot;https://doi.org/10.1093/imrn/rnx152&quot;&gt;https://doi.org/10.1093/imrn/rnx152&lt;/a&gt;.</chicago>
<apa>Killip, R., Vişan, M., &amp;#38; Zhang, X. (2019). Symplectic non-squeezing for the cubic NLS on the line. &lt;i&gt;International Mathematics Research Notices&lt;/i&gt;. Oxford University Press. &lt;a href=&quot;https://doi.org/10.1093/imrn/rnx152&quot;&gt;https://doi.org/10.1093/imrn/rnx152&lt;/a&gt;</apa>
<ama>Killip R, Vişan M, Zhang X. Symplectic non-squeezing for the cubic NLS on the line. &lt;i&gt;International Mathematics Research Notices&lt;/i&gt;. 2019;2019(5):1312-1332. doi:&lt;a href=&quot;https://doi.org/10.1093/imrn/rnx152&quot;&gt;10.1093/imrn/rnx152&lt;/a&gt;</ama>
<ieee>R. Killip, M. Vişan, and X. Zhang, “Symplectic non-squeezing for the cubic NLS on the line,” &lt;i&gt;International Mathematics Research Notices&lt;/i&gt;, vol. 2019, no. 5. Oxford University Press, pp. 1312–1332, 2019.</ieee>
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