Soliton Train | Deniz Bilman https://bilman.github.io/tags/soliton-train/ Soliton Train Hugo Blox Builder (https://hugoblox.com)en-usWed, 01 Jul 2026 00:00:44 -0400 https://bilman.github.io/media/icon_hu7729264130191091259.png Soliton Train https://bilman.github.io/tags/soliton-train/ Infinite-order rogue waves that are small (but not small in $L^2$) https://bilman.github.io/publication/rwio-elliptic-spread/ Wed, 01 Jul 2026 00:00:44 -0400 https://bilman.github.io/publication/rwio-elliptic-spread/ <!-- ![Infinite-order rogue wave in the elliptic spread asymptotic regime](./header.png ) --> <figure><img src="https://bilman.github.io/publication/rwio-elliptic-spread/header.png" alt="Infinite-order rogue wave in the &rsquo;elliptic spread&rsquo; asymptotic regime."><figcaption> <p>Infinite-order rogue wave in the &rsquo;elliptic spread&rsquo; asymptotic regime.</p> </figcaption> </figure> <!-- <figure><img src="densityplot-RWIO-overlayed.png" alt="Infinite-order rogue wave in the &rsquo;elliptic spread&rsquo; asymptotic regime."><figcaption> <p>Infinite-order rogue wave in the &rsquo;elliptic spread&rsquo; asymptotic regime.</p> </figcaption> </figure> --> <!-- I thank [Baudry Greene on Endell Street in London](https://www.instagram.com/baudrygreene/) for their hospitality and providing me with excellent coffee during the last stages in the preparation of this article. --> <p>I thank the kind team at <a href="https://www.instagram.com/baudrygreene/" target="_blank" rel="noopener">Baudry Greene on Endell Street in London</a> for their hospitality and the excellent coffee they provided during the final stages of preparing this article.</p> <!-- This work is driven by the results in my [previous paper](/publication/conference-paper/) on LLMs. <div class="flex px-4 py-3 mb-6 rounded-md bg-primary-100 dark:bg-primary-900"> <span class="pr-3 pt-1 text-primary-600 dark:text-primary-300"> <svg height="24" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path fill="none" stroke="currentColor" stroke-linecap="round" stroke-linejoin="round" stroke-width="1.5" d="m11.25 11.25l.041-.02a.75.75 0 0 1 1.063.852l-.708 2.836a.75.75 0 0 0 1.063.853l.041-.021M21 12a9 9 0 1 1-18 0a9 9 0 0 1 18 0m-9-3.75h.008v.008H12z"/></svg> </span> <span class="dark:text-neutral-300">Create your slides in Markdown - click the <em>Slides</em> button to check out the example.</span> </div> Add the publication's **full text** or **supplementary notes** here. You can use rich formatting such as including [code, math, and images](https://docs.hugoblox.com/content/writing-markdown-latex/). -->