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34 changes: 25 additions & 9 deletions ReadingGroup-SLE.md
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Expand Up @@ -9,21 +9,37 @@ The reading group will focus on random interfaces that should arise as the scali

We will begin by discussing the general properties of SLE and providing an overview of the expected properties of massive interfaces. From there, we will explore other important constructions for critical interfaces, followed by descriptions of a few examples of massive interfaces that have already been described. Finally, we will review some results in the physics literature that are related to massive models.

## Contributing to the reading group
All members of Durham University are welcome to join the group. Presenting is highly encouraged, but not mandatory. However, if you wish to contribute to the reading group in different way, you can send me your notes (handwritten or latex) from the talks and I can put them here.


## Time (to confirm)
We are planning to meet weekly on Thursdays at 15h00 for 60' to 90' and have 9 or 10 meetings in total. Please let me know if you are interested but cannot join at this time.
We will confirm the room soon!

## (Provisional) Schedule
- **Week 1:** Ellen Powell - [3]
- **Week 2:** Leandro Chiarini - [7]
- **Week 3:** Ellen Powell - [6]
- **Week 4:** Léonie Papon - [5]
- **Week 5:** Leandro Chiarini - [2]
- **Week 6:** ?? - [1]
- **Week 7:** Léonie Papon - [4]
- **Week 8:** To confirm
- **Week 9:** To confirm
- **Week 10**: To confirm

# References (More to be added)
1. Berestycki, Haunschmid-Sibitz _"Near-critical dimers and massive SLE"_. [Link](https://arxiv.org/pdf/2203.15717.pdf)
2. Camia _"Off-criticality and the massive Brownian loop soup"_. [Link](https://arxiv.org/pdf/1309.6068.pdf)
3. Makarov, Smirnov _"Off-critical lattice models and massive SLEs"_. [Link](https://arxiv.org/pdf/0909.5377.pdf)
4. Papon **To confirm** . To appear on arXiv
5. Papon _"Massive SLE4 and the scaling limit of the massive harmonic explorer"_. [Link](https://arxiv.org/pdf/2307.11509.pdf)
6. Qian, Werner _"Coupling the Gaussian free fields with free and with zero boundary conditions via common level lines"_. [Link](https://link.springer.com/article/10.1007/s00220-018-3159-z)
7. Sheffield, Werner _"Conformal loop ensembles: the Markovian characterization and the loop-soup construction"_. [Link](https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=da7e6063f7147adb21e81c24fa246b40b75e1b4d)

## Organised by
- [Ellen Powell](https://sites.google.com/view/ellenpowell/home?authuser=0)
- [Léonie Papon](https://www.durham.ac.uk/staff/leonie-b-papon/)
- [Leandro Chiarini](index)


# References
1. N Makarov, S Smirnov _"Off-critical lattice models and massive SLEs"_. [Link](https://arxiv.org/pdf/0909.5377.pdf)
2. S Sheffield, W Werner _"Conformal loop ensembles: the Markovian characterization and the loop-soup construction"_. [Link](https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=da7e6063f7147adb21e81c24fa246b40b75e1b4d)
3. W Qian, W Werner _"Coupling the Gaussian free fields with free and with zero boundary conditions via common level lines"_. [Link](https://link.springer.com/article/10.1007/s00220-018-3159-z)
5. L Papon _"Massive SLE4 and the scaling limit of the massive harmonic explorer"_. [Link](https://arxiv.org/pdf/2307.11509.pdf)
6. N Berestycki, L Haunschmid-Sibitz _"Near-critical dimers and massive SLE"_. [Link](https://arxiv.org/pdf/2203.15717.pdf)
7. L Papon **To confirm** . To appear on arXiv
8. F Camia _"Off-criticality and the massive Brownian loop soup"_. [Link](https://arxiv.org/pdf/1309.6068.pdf)
16 changes: 8 additions & 8 deletions _site/404.html
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<link rel="alternate" type="application/rss+xml" title="Leandro Chiarini" href="http://localhost:4000/feed.xml">
<link rel="alternate" type="application/rss+xml" title="Leandro Chiarini" href="/feed.xml">



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Sorry, this website is still under construction">


<meta property="og:image" content="http://localhost:4000/assets/img/profile.jpg">
<meta property="og:image" content="/assets/img/profile.jpg">



<meta property="og:type" content="website">
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Sorry, this website is still under construction">


<meta name="twitter:image" content="http://localhost:4000/assets/img/profile.jpg">
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<nav class="navbar navbar-expand-md navbar-light fixed-top navbar-custom top-nav-regular"><a class="navbar-brand" href="http://localhost:4000/">Leandro Chiarini</a><button class="navbar-toggler" type="button" data-toggle="collapse" data-target="#main-navbar" aria-controls="main-navbar" aria-expanded="false" aria-label="Toggle navigation">
<nav class="navbar navbar-expand-md navbar-light fixed-top navbar-custom top-nav-regular"><a class="navbar-brand" href="">Leandro Chiarini</a><button class="navbar-toggler" type="button" data-toggle="collapse" data-target="#main-navbar" aria-controls="main-navbar" aria-expanded="false" aria-label="Toggle navigation">
<span class="navbar-toggler-icon"></span>
</button>

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<div class="avatar-container">
<div class="avatar-img-border">
<a href="http://localhost:4000/">
<a href="">
<img alt="Navigation bar avatar" class="avatar-img" src="/assets/img/profile.jpg" />
</a>
</div>
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&nbsp;&bull;&nbsp;
<span class="author-site">
<a href="http://localhost:4000/">www.lchiarini.com</a>
<a href="">www.lchiarini.com</a>
</span>


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54 changes: 36 additions & 18 deletions _site/ReadingGroup-SLE.html
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<link rel="alternate" type="application/rss+xml" title="Leandro Chiarini" href="http://localhost:4000/feed.xml">
<link rel="alternate" type="application/rss+xml" title="Leandro Chiarini" href="/feed.xml">



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<meta property="og:description" content="# Critical and Near-critical Interfaces The reading group will focus on random interfaces that should arise as the scaling limits of massive/near-critical models in statistical mechanics. The most well-known critical interface models are the Schramm-Loewner Evolution (SLE) and Conformal Loop Ensembles (CLE). While the study of critical interfaces has seen...">


<meta property="og:image" content="http://localhost:4000/assets/img/profile.jpg">
<meta property="og:image" content="/assets/img/profile.jpg">



<meta property="og:type" content="website">
<meta property="og:url" content="http://localhost:4000/ReadingGroup-SLE.html">
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<link rel="canonical" href="/ReadingGroup-SLE.html">



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<meta property="twitter:description" content="# Critical and Near-critical Interfaces The reading group will focus on random interfaces that should arise as the scaling limits of massive/near-critical models in statistical mechanics. The most well-known critical interface models are the Schramm-Loewner Evolution (SLE) and Conformal Loop Ensembles (CLE). While the study of critical interfaces has seen...">


<meta name="twitter:image" content="http://localhost:4000/assets/img/profile.jpg">
<meta name="twitter:image" content="/assets/img/profile.jpg">



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<nav class="navbar navbar-expand-md navbar-light fixed-top navbar-custom top-nav-regular"><a class="navbar-brand" href="http://localhost:4000/">Leandro Chiarini</a><button class="navbar-toggler" type="button" data-toggle="collapse" data-target="#main-navbar" aria-controls="main-navbar" aria-expanded="false" aria-label="Toggle navigation">
<nav class="navbar navbar-expand-md navbar-light fixed-top navbar-custom top-nav-regular"><a class="navbar-brand" href="">Leandro Chiarini</a><button class="navbar-toggler" type="button" data-toggle="collapse" data-target="#main-navbar" aria-controls="main-navbar" aria-expanded="false" aria-label="Toggle navigation">
<span class="navbar-toggler-icon"></span>
</button>

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<div class="avatar-container">
<div class="avatar-img-border">
<a href="http://localhost:4000/">
<a href="">
<img alt="Navigation bar avatar" class="avatar-img" src="/assets/img/profile.jpg" />
</a>
</div>
Expand Down Expand Up @@ -187,27 +187,45 @@ <h1 id="critical-and-near-critical-interfaces">Critical and Near-critical Interf

<p>We will begin by discussing the general properties of SLE and providing an overview of the expected properties of massive interfaces. From there, we will explore other important constructions for critical interfaces, followed by descriptions of a few examples of massive interfaces that have already been described. Finally, we will review some results in the physics literature that are related to massive models.</p>

<h2 id="contributing-to-the-reading-group">Contributing to the reading group</h2>
<p>All members of Durham University are welcome to join the group. Presenting is highly encouraged, but not mandatory. However, if you wish to contribute to the reading group in different way, you can send me your notes (handwritten or latex) from the talks and I can put them here.</p>

<h2 id="time-to-confirm">Time (to confirm)</h2>
<p>We are planning to meet weekly on Thursdays at 15h00 for 60’ to 90’ and have 9 or 10 meetings in total. Please let me know if you are interested but cannot join at this time.
We will confirm the room soon!</p>

<h2 id="provisional-schedule">(Provisional) Schedule</h2>
<ul>
<li><strong>Week 1:</strong> Ellen Powell - [3]</li>
<li><strong>Week 2:</strong> Leandro Chiarini - [7]</li>
<li><strong>Week 3:</strong> Ellen Powell - [6]</li>
<li><strong>Week 4:</strong> Léonie Papon - [5]</li>
<li><strong>Week 5:</strong> Leandro Chiarini - [2]</li>
<li><strong>Week 6:</strong> ?? - [1]</li>
<li><strong>Week 7:</strong> Léonie Papon - [4]</li>
<li><strong>Week 8:</strong> To confirm</li>
<li><strong>Week 9:</strong> To confirm</li>
<li><strong>Week 10</strong>: To confirm</li>
</ul>

<h1 id="references-more-to-be-added">References (More to be added)</h1>
<ol>
<li>Berestycki, Haunschmid-Sibitz <em>“Near-critical dimers and massive SLE”</em>. <a href="https://arxiv.org/pdf/2203.15717.pdf">Link</a></li>
<li>Camia <em>“Off-criticality and the massive Brownian loop soup”</em>. <a href="https://arxiv.org/pdf/1309.6068.pdf">Link</a></li>
<li>Makarov, Smirnov <em>“Off-critical lattice models and massive SLEs”</em>. <a href="https://arxiv.org/pdf/0909.5377.pdf">Link</a></li>
<li>Papon <strong>To confirm</strong> . To appear on arXiv</li>
<li>Papon <em>“Massive SLE4 and the scaling limit of the massive harmonic explorer”</em>. <a href="https://arxiv.org/pdf/2307.11509.pdf">Link</a></li>
<li>Qian, Werner <em>“Coupling the Gaussian free fields with free and with zero boundary conditions via common level lines”</em>. <a href="https://link.springer.com/article/10.1007/s00220-018-3159-z">Link</a></li>
<li>Sheffield, Werner <em>“Conformal loop ensembles: the Markovian characterization and the loop-soup construction”</em>. <a href="https://citeseerx.ist.psu.edu/document?repid=rep1&amp;type=pdf&amp;doi=da7e6063f7147adb21e81c24fa246b40b75e1b4d">Link</a></li>
</ol>

<h2 id="organised-by">Organised by</h2>
<ul>
<li><a href="https://sites.google.com/view/ellenpowell/home?authuser=0">Ellen Powell</a></li>
<li><a href="https://www.durham.ac.uk/staff/leonie-b-papon/">Léonie Papon</a></li>
<li><a href="index">Leandro Chiarini</a></li>
</ul>

<h1 id="references">References</h1>
<ol>
<li>N Makarov, S Smirnov <em>“Off-critical lattice models and massive SLEs”</em>. <a href="https://arxiv.org/pdf/0909.5377.pdf">Link</a></li>
<li>S Sheffield, W Werner <em>“Conformal loop ensembles: the Markovian characterization and the loop-soup construction”</em>. <a href="https://citeseerx.ist.psu.edu/document?repid=rep1&amp;type=pdf&amp;doi=da7e6063f7147adb21e81c24fa246b40b75e1b4d">Link</a></li>
<li>W Qian, W Werner <em>“Coupling the Gaussian free fields with free and with zero boundary conditions via common level lines”</em>. <a href="https://link.springer.com/article/10.1007/s00220-018-3159-z">Link</a></li>
<li>L Papon <em>“Massive SLE4 and the scaling limit of the massive harmonic explorer”</em>. <a href="https://arxiv.org/pdf/2307.11509.pdf">Link</a></li>
<li>N Berestycki, L Haunschmid-Sibitz <em>“Near-critical dimers and massive SLE”</em>. <a href="https://arxiv.org/pdf/2203.15717.pdf">Link</a></li>
<li>L Papon <strong>To confirm</strong> . To appear on arXiv</li>
<li>F Camia <em>“Off-criticality and the massive Brownian loop soup”</em>. <a href="https://arxiv.org/pdf/1309.6068.pdf">Link</a></li>
</ol>



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&nbsp;&bull;&nbsp;
<span class="author-site">
<a href="http://localhost:4000/">www.lchiarini.com</a>
<a href="">www.lchiarini.com</a>
</span>


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<link rel="alternate" type="application/rss+xml" title="Leandro Chiarini" href="http://localhost:4000/feed.xml">
<link rel="alternate" type="application/rss+xml" title="Leandro Chiarini" href="/feed.xml">



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<meta property="og:description" content="">


<meta property="og:image" content="http://localhost:4000/assets/img/profile.jpg">
<meta property="og:image" content="/assets/img/profile.jpg">



<meta property="og:type" content="website">
<meta property="og:url" content="http://localhost:4000/blog.html">
<link rel="canonical" href="http://localhost:4000/blog.html">
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<nav class="navbar navbar-expand-md navbar-light fixed-top navbar-custom top-nav-regular"><a class="navbar-brand" href="http://localhost:4000/">Leandro Chiarini</a><button class="navbar-toggler" type="button" data-toggle="collapse" data-target="#main-navbar" aria-controls="main-navbar" aria-expanded="false" aria-label="Toggle navigation">
<nav class="navbar navbar-expand-md navbar-light fixed-top navbar-custom top-nav-regular"><a class="navbar-brand" href="">Leandro Chiarini</a><button class="navbar-toggler" type="button" data-toggle="collapse" data-target="#main-navbar" aria-controls="main-navbar" aria-expanded="false" aria-label="Toggle navigation">
<span class="navbar-toggler-icon"></span>
</button>

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<div class="avatar-container">
<div class="avatar-img-border">
<a href="http://localhost:4000/">
<a href="">
<img alt="Navigation bar avatar" class="avatar-img" src="/assets/img/profile.jpg" />
</a>
</div>
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<a href="http://localhost:4000/events/2023/04/11/Events-2023-2024.html">
<a href="/events/2023/04/11/Events-2023-2024.html">
<h2 class="post-title">Events</h2>


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<a href="http://localhost:4000/python/arxiv/2023/03/29/arxiv-today.html">
<a href="/python/arxiv/2023/03/29/arxiv-today.html">
<h2 class="post-title">A very simple command line interface for today's arXiv entries</h2>


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<a href="http://localhost:4000/vim/2022/05/28/Vim-for-mathematicians.html">
<a href="/vim/2022/05/28/Vim-for-mathematicians.html">
<h2 class="post-title">Vim for mathematicians</h2>


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<a href="http://localhost:4000/git/2022/05/28/Git-for-mathematicians.html">
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<a href="http://localhost:4000/blog/2022/05/28/This-blog.html">
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<h2 class="post-title">This blog</h2>


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&nbsp;&bull;&nbsp;
<span class="author-site">
<a href="http://localhost:4000/">www.lchiarini.com</a>
<a href="">www.lchiarini.com</a>
</span>


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