From 91a2ba8c7663768c17ffb037ed3cbf9263a6a3e3 Mon Sep 17 00:00:00 2001 From: L Chiarini Date: Thu, 14 Dec 2023 23:48:41 +0000 Subject: [PATCH] Improve reading group --- ReadingGroup-SLE.md | 4 ++++ _site/ReadingGroup-SLE.html | 6 ++++++ _site/feed.xml | 2 +- 3 files changed, 11 insertions(+), 1 deletion(-) diff --git a/ReadingGroup-SLE.md b/ReadingGroup-SLE.md index c5b93b9..7bb5d62 100644 --- a/ReadingGroup-SLE.md +++ b/ReadingGroup-SLE.md @@ -5,6 +5,8 @@ layout: page # 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 many advances in the past two decades, a general theory for near-critical interfaces remains elusive. However, a few rigorous examples of massive interface models have been constructed in the last few years, which we will also explore. 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. @@ -38,6 +40,8 @@ We will confirm the room soon! 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) +- Image above from Wikipedia + ## Organised by - [Ellen Powell](https://sites.google.com/view/ellenpowell/home?authuser=0) - [Léonie Papon](https://www.durham.ac.uk/staff/leonie-b-papon/) diff --git a/_site/ReadingGroup-SLE.html b/_site/ReadingGroup-SLE.html index 831004a..5cb750d 100644 --- a/_site/ReadingGroup-SLE.html +++ b/_site/ReadingGroup-SLE.html @@ -183,6 +183,8 @@

Reading group

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 many advances in the past two decades, a general theory for near-critical interfaces remains elusive. However, a few rigorous examples of massive interface models have been constructed in the last few years, which we will also explore.

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.

@@ -219,6 +221,10 @@

References (More to be added)

  • Sheffield, Werner “Conformal loop ensembles: the Markovian characterization and the loop-soup construction”. Link
    • + +

    Organised by