Jekyll2018-02-11T22:50:04-05:00http://lpetrov.cc/Leonid PetrovLeonid Petrov. Integrable ProbabilityLeonid PetrovA sign in Boston Logan airport commemorating deformed Bosons2018-01-01T08:30:00-05:002018-01-01T08:30:00-05:00http://lpetrov.cc/2018/01/q-Boston<p>This sign works equally well for both <strong>$q$-Bosons</strong> and <strong>$t$-Bosons</strong>, so the choice
of parameter is up to the tourist.</p>
<h4 id="references">References</h4>
<ol>
<li>
<p>T. Sasamoto and M. Wadati, Exact results for one-dimensional totally asymmetric diffusion models, J. Phys. A 31 (1998), 6057–6071</p>
</li>
<li>
<p>A. Borodin, I. Corwin, L. Petrov, T. Sasamoto, Spectral theory for the q- Boson particle system, Compositio Mathematica 151 (2015), no. 1, 1–67, <a href="https://arxiv.org/abs/1308.3475">arXiv:1308.3475 [math-ph]</a></p>
</li>
</ol>Leonid PetrovThis sign works equally well for both $q$-Bosons and $t$-Bosons, so the choice of parameter is up to the tourist. References T. Sasamoto and M. Wadati, Exact results for one-dimensional totally asymmetric diffusion models, J. Phys. A 31 (1998), 6057–6071 A. Borodin, I. Corwin, L. Petrov, T. Sasamoto, Spectral theory for the q- Boson particle system, Compositio Mathematica 151 (2015), no. 1, 1–67, arXiv:1308.3475 [math-ph]A sign in Boston Logan airport commemorating deformed Bosons2018-01-01T08:30:00-05:002018-01-01T08:30:00-05:00http://lpetrov.cc/2018/01/q-Boston-quick-link<div><a href="http://lpetrov.cc/2018/01/q-Boston/">A sign in Boston Logan Airport commemorating deformed Bosons</a></div>Leonid PetrovA sign in Boston Logan Airport commemorating deformed BosonsInstalling specific versions of biblatex and texlive for arxiv2017-12-21T07:00:00-05:002017-12-21T07:00:00-05:00http://lpetrov.cc/2017/12/tex-distributions-again<h3 id="an-update-on-the-previous-post">(An update on the <a href="http://lpetrov.cc/2017/12/tex-distributions/">previous post</a>)</h3>
<p>So, I had a problem - my TeX distribution is new and updated, but I need to submit a paper
to the arXiv, and arXiv has a different version of TeX distribution (currently 2016).
The main problem is <code class="highlighter-rouge">biblatex</code>, which creates an incompatible version of the bibliography <code class="highlighter-rouge">.bbl</code> file.
For this, I need an appropriate version of the biblatex package.</p>
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<p>My solution which gives the needed version <code class="highlighter-rouge">2.8</code> of the <code class="highlighter-rouge">.bbl</code> file:</p>
<ul>
<li>Download the TeXLive basic 2016 distribution, install it (I’m using MacTeX), from <a href="ftp://tug.org/historic/systems/mactex/"><code class="highlighter-rouge">ftp://tug.org/historic/systems/mactex/</code></a></li>
<li>update the <code class="highlighter-rouge">tlmgr</code> utility by <code class="highlighter-rouge">sudo tlmgr update --self</code></li>
<li>Install the needed packages including <code class="highlighter-rouge">biblatex</code> using <code class="highlighter-rouge">sudo tlmgr install <package></code></li>
<li>Then remove <code class="highlighter-rouge">biblatex</code> with <code class="highlighter-rouge">sudo tlmgr remove biblatex</code></li>
<li>Use local texmf tree, and install to it the appropriate version of <code class="highlighter-rouge">biblatex</code> (currently arXiv needs <code class="highlighter-rouge">3.5</code>), by
downloading the corresponding release of <code class="highlighter-rouge">biblatex</code> from <a href="https://github.com/plk/biblatex">the biblatex github repo</a>, and installing it.</li>
</ul>
<p>Note that
cloning the full biblatex github repo and running their install script (turns out I needed version <code class="highlighter-rouge">3.5</code> of biblatex)
for some reason does not give the needed version <code class="highlighter-rouge">2.8</code> of the <code class="highlighter-rouge">.bbl</code> file.</p>Leonid Petrov(An update on the previous post) So, I had a problem - my TeX distribution is new and updated, but I need to submit a paper to the arXiv, and arXiv has a different version of TeX distribution (currently 2016). The main problem is biblatex, which creates an incompatible version of the bibliography .bbl file. For this, I need an appropriate version of the biblatex package.Simulations of inhomogeneous multilayer pushTASEP2017-12-17T05:00:00-05:002017-12-17T05:00:00-05:00http://lpetrov.cc/2017/12/pushTASEP_simulations<p>I’ve done some simulations of a multilayer version of the pushTASEP in inhomogeneous space,
in my new <a href="http://lpetrov.cc/simulations/">simulations gallery</a>.</p>
<p>Technical details and more pictures are <a href="http://lpetrov.cc/simulations/2017-12-15-pushtasep-multilayer/">here</a>.</p>Leonid PetrovI’ve done some simulations of a multilayer version of the pushTASEP in inhomogeneous space, in my new simulations gallery. Technical details and more pictures are here.Yang-Baxter field for spin Hall-Littlewood symmetric functions2017-12-13T11:00:00-05:002017-12-13T11:00:00-05:00http://lpetrov.cc/2017/12/YBfieldEmploying bijectivisation of summation identities, we introduce local
stochastic moves based on the Yang-Baxter equation for
<script type="math/tex">U_q(\widehat{\mathfrak{sl}_2})</script>. Combining these moves leads to a new object
which we call the spin Hall-Littlewood Yang-Baxter field - a probability
distribution on two-dimensional arrays of particle configurations on the
discrete line. We identify joint distributions along down-right paths in the
Yang-Baxter field with spin Hall-Littlewood processes, a generalization of
Schur processes. We consider various degenerations of the Yang-Baxter field
leading to new dynamic versions of the stochastic six vertex model and of the
Asymmetric Simple Exclusion Process.Leonid PetrovEmploying bijectivisation of summation identities, we introduce local stochastic moves based on the Yang-Baxter equation for . Combining these moves leads to a new object which we call the spin Hall-Littlewood Yang-Baxter field - a probability distribution on two-dimensional arrays of particle configurations on the discrete line. We identify joint distributions along down-right paths in the Yang-Baxter field with spin Hall-Littlewood processes, a generalization of Schur processes. We consider various degenerations of the Yang-Baxter field leading to new dynamic versions of the stochastic six vertex model and of the Asymmetric Simple Exclusion Process.Gallery of simulations of integrable stochastic systems2017-12-12T21:00:00-05:002017-12-12T21:00:00-05:00http://lpetrov.cc/2017/12/gallery<div>Updated <a href="http://lpetrov.cc/simulations/">gallery of simulations</a> of integrable stochastic systems</div>
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<p>There will be more than just simulations:</p>
<ul>
<li>raw data with well-described format;</li>
<li>links to source code of programs producing the data;</li>
<li>visualizations themselves</li>
</ul>Leonid PetrovUpdated gallery of simulations of integrable stochastic systemsSwitching TeXLive distributions for arXiv2017-12-12T07:00:00-05:002017-12-12T07:00:00-05:00http://lpetrov.cc/2017/12/tex-distributions<p>Doing bibliography with <a href="https://ctan.org/pkg/biblatex">BiBLaTeX</a> (and having one huge <code class="highlighter-rouge">.bib</code> file - mine is <a href="https://github.com/lenis2000/BiBTeX">public</a>, by the way)
works great for me.</p>
<p>One downside is that <a href="https://www.arxiv.org">arXiv</a> uses a <a href="https://arxiv.org/help/faq/texlive">specific TeXLive
distribution</a> (2016 as of today), and the distribution on my machine is more up to date.
Also, arXiv wants <code class="highlighter-rouge">.bbl</code> files uploaded instead of huge <code class="highlighter-rouge">.bib</code> files
(<code class="highlighter-rouge">.bbl</code> contains only the references actually included in a given paper, and not all over 900 references which are in my <code class="highlighter-rouge">.bib</code> file).
The problem is that <code class="highlighter-rouge">.bbl</code> files produced by different versions of BiBLaTeX are incompatible (!).
So, to upload a paper to arXiv, I need to install a version of TeXLive identical to the arXiv’s one.</p>
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<p>I have a Mac.
To install an older TeXLive version, I use <a href="http://www.tug.org/mactex/">MacTeX</a>.
To find an appropriate version, one needs to go to the TUG’s ftp at
<a href="ftp://tug.org/historic/systems/mactex/"><code class="highlighter-rouge">ftp://tug.org/historic/systems/mactex/</code></a>
where they keep all the historic versions.
The download speed from this ftp might be quite slow.
When installed, the older version will coexist with the current one,
and one can switch between the versions.</p>
<p><a href="http://www.tug.org/mactex/multipletexdistributions.html">MacTeX’s page</a> has some things to
say about switching, but neither of these ways worked for me.
Another (manual) solution I found over the internet is the following:</p>
<figure class="highlight"><pre><code class="language-bash" data-lang="bash"><table class="rouge-table"><tbody><tr><td class="gutter gl"><pre class="lineno">1
2
3
</pre></td><td class="code"><pre><span class="nb">cd</span> /Library/TeX/Distributions/.DefaultTeX
<span class="nb">sudo rm </span>Contents
<span class="nb">sudo ln</span> <span class="nt">-s</span> ../TeXLive-2016.texdist/Contents Contents</pre></td></tr></tbody></table></code></pre></figure>
<p>Namely, <code class="highlighter-rouge">/Library/TeX/Distributions/.DefaultTeX/Contents</code>
is a symlink to the TeXLive distribution used throughout the system,
and redirecting this link will switch the version.</p>
<p>Bingo, a new paper is submitted to the arXiv! (will be in the next post when it appears online)</p>
<h5 id="update-after-trying-to-update-the-paper-to-version-2">Update (after trying to update the paper to version 2)</h5>
<p>Ok, I could not make this work for the second time. Previously I downloaded the basic installation of TeXLive 2016,
and this did the job. Now I went with the full installation, and somehow it was worse
(I ended up updating TeXLive 2016 to 2017, so now I have 2 parallel 2017 installations apparently).
So, I ended up reusing the <code class="highlighter-rouge">.bbl</code> file from v1, which needed only very minor modifications (despite the version update
from 2.8 to 2.9). A conclusion is that biblatex is not too friendly with arXiv, unfortunately.</p>Leonid PetrovDoing bibliography with BiBLaTeX (and having one huge .bib file - mine is public, by the way) works great for me. One downside is that arXiv uses a specific TeXLive distribution (2016 as of today), and the distribution on my machine is more up to date. Also, arXiv wants .bbl files uploaded instead of huge .bib files (.bbl contains only the references actually included in a given paper, and not all over 900 references which are in my .bib file). The problem is that .bbl files produced by different versions of BiBLaTeX are incompatible (!). So, to upload a paper to arXiv, I need to install a version of TeXLive identical to the arXiv’s one.External Tikz pictures2017-12-12T03:00:00-05:002017-12-12T03:00:00-05:00http://lpetrov.cc/2017/12/tikz-external<p>I produce almost all pictures in my math <script type="math/tex">\mathrm{\LaTeX}</script> writing in <a href="http://www.texample.net/tikz/">TikZ</a>.
This is a nice library (and I’ve learned it over the years), which allows for-loops, effects, etc.
The downside for me always was that compiling inline TikZ pictures takes a lot of time.
For some months now, while writing a particularly figure-heavy paper,
I wondered how I can optimize this.</p>
<p>Following <a href="https://stackoverflow.com/questions/2701902/standalone-diagrams-with-tikz">this stackoverflow discussion</a>, I have now adopted
a great way of optimizing TikZ pictures by placing them into separate standalone tex files.</p>
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<p>For example, this file</p>
<figure class="highlight"><pre><code class="language-tex" data-lang="tex"><table class="rouge-table"><tbody><tr><td class="gutter gl"><pre class="lineno">1
2
3
4
5
6
7
</pre></td><td class="code"><pre><span class="k">\documentclass</span><span class="p">{</span>standalone<span class="p">}</span>
<span class="k">\usepackage</span><span class="p">{</span>tikz<span class="p">}</span>
<span class="nt">\begin{document}</span>
<span class="nt">\begin{tikzpicture}</span>
<span class="c">%tikz code</span>
<span class="nt">\end{tikzpicture}</span>
<span class="nt">\end{document}</span></pre></td></tr></tbody></table></code></pre></figure>
<p>can be fed into my usual <code class="highlighter-rouge">latexmk</code></p>
<figure class="highlight"><pre><code class="language-bash" data-lang="bash">latexmk <span class="nt">-pdf</span> <span class="nt">-pvc</span> <span class="nt">-f</span> <span class="nt">-silent</span> <span class="nt">-synctex</span><span class="o">=</span>1 FILENAME</code></pre></figure>
<p>for automatic constant compilation, and the pdf result can be included into the main <script type="math/tex">\mathrm{\TeX}</script> file
using another thread of automatic
<code class="highlighter-rouge">latexmk</code> compilation.</p>
<p><strong>Note</strong>.
For further possible optimization, <script type="math/tex">\mathrm{\TeX}</script>
class <code class="highlighter-rouge">standalone</code> can already produce <code class="highlighter-rouge">png</code> output, which (I think) cost less compile time
to be included into the main <script type="math/tex">\mathrm{\TeX}</script> file.</p>
<p><strong>PS.</strong> I enjoy turning on <code class="highlighter-rouge">latexmk</code> to constantly recompile the <script type="math/tex">\mathrm{\LaTeX}</script> sources for me.
I think this might be the reason why my laptop battery just died…</p>Leonid PetrovI produce almost all pictures in my math writing in TikZ. This is a nice library (and I’ve learned it over the years), which allows for-loops, effects, etc. The downside for me always was that compiling inline TikZ pictures takes a lot of time. For some months now, while writing a particularly figure-heavy paper, I wondered how I can optimize this. Following this stackoverflow discussion, I have now adopted a great way of optimizing TikZ pictures by placing them into separate standalone tex files.Integrable Probability Boston 20182017-11-23T08:30:00-05:002017-11-23T08:30:00-05:00http://lpetrov.cc/2017/11/mit-integrable-conference<div>The conference <a href="http://2018.int-prob.org">Integrable Probability Boston 2018</a> will be held on <b>May 14-18, 2018</b> at MIT, Cambridge, MA.<div>
</div></div>Leonid PetrovThe conference Integrable Probability Boston 2018 will be held on May 14-18, 2018 at MIT, Cambridge, MA.First FRG workshop, October 2017, Columbia University2017-09-23T09:30:00-04:002017-09-23T09:30:00-04:00http://lpetrov.cc/2017/09/columbia-frg-meeting<div>The first <a href="http://frg.int-prob.org/">Integrable Probability FRG</a> workshop was held on <b>October 27-29, 2017</b> at Columbia University in New York. <a href="http://frg.int-prob.org/meeting2017/">Some photos from the meeting</a>.<div>
</div></div>Leonid PetrovThe first Integrable Probability FRG workshop was held on October 27-29, 2017 at Columbia University in New York. Some photos from the meeting.