Jekyll2018-06-21T09:04:46-04:00https://lpetrov.cc/Leonid PetrovLeonid Petrov. Integrable ProbabilityLeonid Petrov2019 travel2018-05-24T23:30:00-04:002018-05-24T23:30:00-04:00https://lpetrov.cc/2018/05/travel-2019<!-- ##### January -->
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<h5 id="march">March</h5>
<p>10-15 •
Banff, Alberta, Canada
•
<a href="https://www.birs.ca/events/2019/5-day-workshops/19w5220">BIRS Workshop “Asymptotic Algebraic Combinatorics”</a></p>
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<h5 id="may">May</h5>
<p>13-14 • Durham, NC • SouthEastern Probability Conference 2019</p>
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<!-- ##### December -->Leonid PetrovMarch 10-15 • Banff, Alberta, Canada • BIRS Workshop “Asymptotic Algebraic Combinatorics” May 13-14 • Durham, NC • SouthEastern Probability Conference 2019[quick link] My big BiBTeX file2018-04-15T09:30:00-04:002018-04-15T09:30:00-04:00https://lpetrov.cc/2018/04/bibtex<div><a href="https://lpetrov.cc/bib/bib.html">The big bibliography (BiBTeX) file I'm using</a></div>Leonid PetrovThe big bibliography (BiBTeX) file I'm usingHow to enable SSL for a homepage hosted on S32018-04-13T08:00:00-04:002018-04-13T08:00:00-04:00https://lpetrov.cc/2018/04/SSL-for-website<p>As Google Chrome
<a href="https://www.theverge.com/2018/2/8/16991254/chrome-not-secure-marked-http-encryption-ssl">will mark</a>
all HTTP websites unsafe later this year,
it is time to figure out how to enable SSL on my websites.
I currently have 3 websites under active management:</p>
<ul>
<li>this homepage <a href="https://lpetrov.cc"><code class="highlighter-rouge">lpetrov.cc</code></a></li>
<li>the <a href="http://frg.int-prob.org">FRG website</a></li>
<li>the <a href="http://math.virginia.edu">UVA Math department website</a></li>
</ul>
<p>All three of them are hosted through AWS, but the homepage is by far the
easiest as it only involves S3 and no EC2 instances.
So at first I decided to turn on SSL at the homepage,
which I succeeded with.</p>
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<p>The homepage is hosted on two S3 buckets - one for resources,
and another one for the main content. The main content one
is updated via Travis from the GitHub repo.</p>
<h3 id="bucket-with-resources">Bucket with resources</h3>
<p>The resource bucket does not have its own private domain name,
and was simply using the S3 website name. The bucket used to be public.</p>
<p>Now, I created a cloudfront distribution with the cloudfront SSL from Amazon.
Replaced the main resources url in my jekyll website by
the cloudfront one (one change in config).
Closed the storage bucket from the public.
Now all resources are under SSL</p>
<h3 id="main-bucket--website">Main bucket / website</h3>
<p>For this, I created a cloudfront distribution
associated with the hostnames <code class="highlighter-rouge">lpetrov.cc</code> and <code class="highlighter-rouge">www.lpetrov.cc</code>.
The Route 53 DNS records had to be updated, too.
Since I am using a custom hostname
I need a certificate. I created one at Amazon,
with DNS verification (very smooth via Route 53),
and attached it to the cloudfront distribution.</p>
<p>By the way, the DNS verification will definitely not work for the UVA Math website
since I do not manage the DNS there. There is an alternate email way of verification which I’ll try
while working for that website.</p>
<h3 id="caveats-i-encountered">Caveats I encountered</h3>
<p><strong>1.</strong> The wildcard certificate for <code class="highlighter-rouge">*.lpetrov.cc</code> (and no other hostnames) was frowned
upon by browsers. I just recreated the certificate for only
the hostnames <code class="highlighter-rouge">lpetrov.cc</code> and <code class="highlighter-rouge">www.lpetrov.cc</code> I need.</p>
<p>Then, close up the main content bucket from the public, too.</p>
<p><strong>2.</strong> The cloudfront distribution is different from S3 website
in that the URL like <code class="highlighter-rouge">https://lpetrov.cc/research/</code> is not pointing at any object
(I like pretty URLs via jekyll). Therefore, <code class="highlighter-rouge">https://lpetrov.cc/research/</code> was not accessible,
and one needed <code class="highlighter-rouge">https://lpetrov.cc/research/index.html</code>. This is not great.
I solved this problem by using Lambda, and added a script for URL rewriting,
so that cloudfront now automagically adds <code class="highlighter-rouge">index.html</code> to the
URLs.</p>
<p><strong>3.</strong> Paginator broke down since the
paginator URLs were like
<code class="highlighter-rouge">https://lpetrov.cc/posts/page2</code> without <code class="highlighter-rouge">/</code> at the end,
so I had to fix it.</p>
<p><strong>4.</strong> One of my resource folders
had a wrong case in one of the letters in the name.
This broke a page, and I was not sure why this happened.
After a lot of invalidations at cloudfront I noticed the different case.</p>
<p><strong>5.</strong> The navbar toggle button (the one visible for narrow screens, e.g.,
on mobile) did not show - likely because the Bootstrap css references to an http url
for <code class="highlighter-rouge">xmlns</code> (I don’t know what that is). So a fix was to simply use
another way of drawing the navbar toggle button.</p>
<h3 id="overall">Overall</h3>
<p>So, overall it took me half a day but I learned some things.
The experience of doing it through AWS was nice overall.
Two more websites to go though.</p>Leonid PetrovAs Google Chrome will mark all HTTP websites unsafe later this year, it is time to figure out how to enable SSL on my websites. I currently have 3 websites under active management: this homepage lpetrov.cc the FRG website the UVA Math department website All three of them are hosted through AWS, but the homepage is by far the easiest as it only involves S3 and no EC2 instances. So at first I decided to turn on SSL at the homepage, which I succeeded with.Quenched Central Limit Theorem in a Corner Growth Setting2018-04-12T01:00:00-04:002018-04-12T01:00:00-04:00https://lpetrov.cc/2018/04/LPP<p>We consider point-to-point directed paths in a random environment on the
two-dimensional integer lattice. For a general independent environment under
mild assumptions we show that the quenched energy of a typical path satisfies a
central limit theorem as the mesh of the lattice goes to zero. Our proofs rely
on concentration of measure techniques and some combinatorial bounds on
families of paths.</p>Leonid PetrovWe consider point-to-point directed paths in a random environment on the two-dimensional integer lattice. For a general independent environment under mild assumptions we show that the quenched energy of a typical path satisfies a central limit theorem as the mesh of the lattice goes to zero. Our proofs rely on concentration of measure techniques and some combinatorial bounds on families of paths.Nonequilibrium particle systems in inhomogeneous space2018-03-05T07:00:00-05:002018-03-05T07:00:00-05:00https://lpetrov.cc/2018/03/inhom-particle-systems<p>This talk describes results in progress on particle systems (PushTASEP and continuous space TASEP)
in inhomogeneous space. Some earlier results related to the topic of the talk appear in <a href="https://lpetrov.cc/2017/03/q-inhom/">this paper with Borodin</a>.</p>
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<p><a href="https://d3m0khvr0ybm92.cloudfront.net/research_files/talks/inhom-1.pdf" target="_blank">PDF (5 MB)</a></p>Leonid PetrovThis talk describes results in progress on particle systems (PushTASEP and continuous space TASEP) in inhomogeneous space. Some earlier results related to the topic of the talk appear in this paper with Borodin.A sign in Boston Logan airport commemorating deformed Bosons2018-01-01T08:30:00-05:002018-01-01T08:30:00-05:00https://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][quick link] A sign in Boston Logan2018-01-01T08:30:00-05:002018-01-01T08:30:00-05:00https://lpetrov.cc/2018/01/q-Boston-quick-link<div><a href="https://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 arxiv2017-12-21T07:00:00-05:002017-12-21T07:00:00-05:00https://lpetrov.cc/2017/12/tex-distributions-again<h3 id="an-update-on-the-previous-post">(An update on the <a href="https://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 pushTASEP2017-12-17T05:00:00-05:002017-12-17T05:00:00-05:00https://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="https://lpetrov.cc/simulations/">simulations gallery</a>.</p>
<p>Technical details and more pictures are <a href="https://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 functions2017-12-13T11:00:00-05:002017-12-13T11:00:00-05:00https://lpetrov.cc/2017/12/YBfield<p>Employing 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.</p>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.