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<!DOCTYPE html>
<html>
<head>
<meta charset="UTF-8">
<title>Ethan Lake's Research Page</title>
<link href="index.css" rel="stylesheet" type="text/css">
</head>
<body>
<div id="wrapper">
<div id="header">
<div class="top_banner">
<h1 style="text-align:center">Ethan Lake's Research Page</h1>
<br>
<hr>
</div>
</div>
<div class="navigation">
<ul>
<li><a href="index.html">Home</a></li>
<li><a href="about.html">About</a></li>
<li><a href="papers.html">Papers</a></li>
<li><a href="art.html">Fun</a></li>
</li>
</ul>
</div>
<div id="page_content">
<div class="intro">
<div class="intro-content">
<div class="intro-text">
<p> I am a Miller Postdoctoral Fellow at UC Berkeley, interested in a broad range of problems in many-body physics, non-equilibrium dynamics, and physical information processing.
</p>
<br>
<p> <a href="mailto:elake@berkeley.edu">email</a> / <a href="https://arxiv.org/search/?query=ethan+lake&searchtype=all">arxiv</a> / <a href="https://scholar.google.com/citations?user=Qf2ky_8AAAAJ&hl=en">google scholar</a> / <a href="https://github.com/ethanlake/">github</a> </p>
<br>
</div>
<div class="intro-image">
<img src="headshot.png" alt="Ethan Lake" class="headshot">
</div>
</div>
</div>
<div class="links">
<hr>
<br>
<h2> Short notes</h2>
<br>
<ul>
<!-- <li><a href="/blogs/blog_test">Test</a></li> -->
<li><a href="notes/rsos_growth.pdf">Sanity checking growth in the RSOS model</a></li>
<li><a href="notes/u1_squeezing.pdf">Squeezing with rotors</a></li>
<li><a href="notes/noise_in_stochastic_ca.pdf">Noise in stochastic cellular automata</a></li>
<li><a href="notes/aim.pdf">Comments on metastability in active Ising models</a></li>
<li><a href="notes/streamlined_squeezing_notes.pdf">Notes on squeezing codes and non-equilibrium memories</a></li>
<li><a href="notes/dynamic_RG_notes.pdf">Some dynamic RG calculations</a></li>
<li><a href="notes/tlv_notes.pdf">Toom's two-line voting automaton</a> </li>
<li><a href="notes/brownian.pdf">Brownian motion on Riemannian manifolds</a> </li>
<li><a href="https://drive.google.com/file/d/1CQtxF14_Vvmr0cWxqH1wSxVYtKSgr2Fw/view?usp=sharing">Renormalization of spacetime noise a la Gacs</a> </li>
<li><a href="notes/cutoffs.pdf">Some calculations about cutoffs</a> </li>
<li><a href="https://drive.google.com/file/d/1rakRS8_Gx9wYWU7PL9D7QIMPKEvVn8pe/view?usp=sharing">Notes on geometric group theory and the geometry of Baumslag-Solitar groups</a> </li>
<li><a href="https://drive.google.com/file/d/1ByzKw2_KlDKCWT5FSw6sYwaihpkFWRzQ/view?usp=sharing">One-axis twisting</a> </li>
<li><a href="https://drive.google.com/file/d/1SJbYJEAD2MlAKa6LxqbADyql_akn0H5G/view?usp=sharing">Ising models on trees</a> </li>
<li><a href="https://drive.google.com/file/d/1dq7QWaL_V88dLb5a0NYa3M91Zwclp8zz/view?usp=sharing">Constraints on subsystem entanglement</a> </li>
<!-- <li><a href="https://drive.google.com/file/d/1uo7mNY3QEFDrxHJmf4lZbOGHtcGogpoj/view?usp=sharing">Notes on multipolar diffusion</a></li> -->
<li><a href="https://drive.google.com/file/d/1CqX9ghVLCFdwlq0GzzjUrjs3V0oYc4s2/view?usp=sharing">Playing around with dipolar Markov circuits</a> </li>
<li><a href="https://drive.google.com/file/d/1F_aYYdKE6ul0HBKH4LxmByNvbYw4Iio_/view?usp=sharing">Notes on skyrmions in Chern bands</a> </li>
<li><a href="https://drive.google.com/file/d/1b1CBuiyFVjr8mVHscGo_rHpUnL9OktYC/view?usp=sharing">Minimal phenomenological models for underdoped bi-2212 and bi-2201</a> </li>
<li><a href="https://drive.google.com/file/d/1U9ZpNH0cfK2zIStP3dKJN7DE9pFU6gXd/view?usp=sharing">Fermi liquid interaction effects in superconductors, and applications to the cuprates</a> </li>
<li><a href="https://drive.google.com/file/d/1X1OUh7VZiYFiZXC2npRjiI4H3gYcpBuD/view?usp=sharing">Fermi liquid RG revisited</a> </li>
<li><a href="https://drive.google.com/file/d/110DpTPxv5J8LI5MnajazzXYMh1e-vI6h/view?usp=sharing">Bogoliubov transformations and squeezed states</a> </li>
<li><a href="https://drive.google.com/file/d/1m57giSqBDUFYwtP7uMb3yV7iW7MQWQd6/view?usp=sharing">Classical Monte Carlo primer</a> </li>
<li><a href="https://drive.google.com/file/d/171x3hD8azcB6Dw66tERvGBRyiIYwRnpf/view?usp=sharing">Thermodynamics of large N ferromagnets in 2+1D</a> </li>
<li><a href="https://drive.google.com/file/d/1X6479PwbLbEGAr-mbwnwggT6T380VMIq/view?usp=sharing">Phases of abelian lattice gauge theories, quantum-classical mappings, and dualities</a> </li>
<li><a href="https://drive.google.com/file/d/1xvZvN72_h3ZSFp0hX7dWZZ0mcGNpMpPZ/view?usp=sharing">Notes on (fractional) instanton numbers for various gauge theories</a> </li>
<li><a href="https://drive.google.com/file/d/1_w_JyW0Fppm94RNzSLckHALEUQ5xUHBH/view?usp=sharing">Manifesto on diffeomorphisms, conformal transformations, and spacetime symmetries in field theory</a> </li>
<li><a href="https://drive.google.com/file/d/1mXt_sX1BeA1YpNPL_YKnAPZiDU0mxC2M/view?usp=sharing">Random quantum expanders</a> </li>
<li><a href="https://drive.google.com/file/d/1Yr-YD0cD04FkETJgDNamXBznQNTdstuD/view?usp=sharing">Fundamental group of distcrete quotients of U(n)</a></li>
<li><a href="https://drive.google.com/file/d/1Gl_uB7eoIAAJ3VeLlnsizdOc-qvtLgwA/view?usp=sharing">1-form anomalies in CS theories</a></li>
<li><a href="https://drive.google.com/file/d/19ltVnObhcxHBzzkipqxRFS6cYqL8eGSS/view?usp=sharing">Determining when various CS theories are spin</a></li>
<li><a href="https://drive.google.com/file/d/1-xIVTmTouSH5IdXOV9v9wNfgM5o7G-11/view?usp=sharing">Fermions and spinG structures </a></li>
<li><a href="https://drive.google.com/file/d/1d9yeOLMP94ahtzH1faBuXD-xC1bn22m0/view?usp=sharing">Conventions for spinors and pinors in QFT in D=2,3,4</a> </li>
<li><a href="https://drive.google.com/file/d/1zkh_3gevzUY6RUYUPLA12P5tQPVoxTwR/view?usp=sharing">Zero modes for Dirac fermions in various flux backgrounds on various manifolds</a></li>
<li><a href="https://drive.google.com/file/d/10fficnDGX7vWeBj6JvQ71g0g_W8Ugzki/view?usp=sharing">Understanding the Pointryagin square</a></li>
<li><a href="https://drive.google.com/file/d/1IJc7gFPrcJZ68Vk5XkaCraRs71KZJPMa/view?usp=sharing">Personal cheat-sheet for 1+1d bosonization</a> </li>
<li><a href="https://drive.google.com/file/d/188MGExHO6faPOWbjIPFmBOMzbvKICF0e/view?usp=sharing">Stability of stacks of 1+1d and 2+1d Zn CFTs</a> </li>
<li><a href="https://drive.google.com/file/d/1BKbDNGKjWjKdkIbNYu3fbxk5WfyKOH8E/view?usp=sharing">Partons for a single spin </a></li>
<li><a href="https://drive.google.com/file/d/1yipD0BeDhj82UOrWTty4OpMi8fHAT0Iw/view?usp=sharing">Some Pontryagin class manipulations</a></li>
<li><a href="https://drive.google.com/file/d/1KaeftZubqFGU75D62ZEiBwmezoCXUeF6/view?usp=sharing">Orthogonality and completeness relations for projective representations</a></li>
</ul>
<br>
<h2> Physics diaries </h2>
<br>
<ul>
<li><a href="https://drive.google.com/file/d/1wNJaNX1Ef1hrOly-TET8yKG2rx7mcaH0/view?usp=sharing">Quantum field theory</a> </li> <!-- last updated feb 2021-->
<li><a href="https://drive.google.com/file/d/1P5OtowL-s5SOhYiyc3rk5u82P9oagfkU/view?usp=sharing">Condensed matter physics</a></li> <!-- last updated feb 2021-->
<li><a href="notes/stat_mech_diary.pdf">Statistical mechanics</a></li> <!-- last updated feb 2021-->
<li><a href="https://drive.google.com/file/d/1wfsblKJYaG7bnzkKjhiUJqOoY1Uqq8_V/view?usp=sharing">Math</a></li> <!--last updated feb 2021-->
<li><a href="https://drive.google.com/file/d/1n6xoIhUzhpMpDp7TE__oekJidy5_aX38/view?usp=sharing">Quantum information</a></li> <!-- last updated feb 2021-->
</ul>
<br>
<p text-align:center>
<IMG class="displayed" SRC="me-thinking.png" WIDTH=500 HEIGHT=350>
</p>
</div>
</div>
<br>
</body></html>