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Helen Lei

Preprint] Transport and Equilibrium in Non-Conservative Systems. With L. Chayes. To appear in Advances in Differential Equations. On the Rate of Convergence for Critical Crossing Probabilities. With I. Binder and L. Chayes. Ann Inst. H. Poincare Probab. Statist. 51, no. 2, 672-715 (2015). Hamiltonian ODE's on a Space of Deficient Measures. With L. Chayes and W. Gangbo. Communications in Mathematical Sciences, 11, no. 1, 1-31 (2013). UCLA Thesis] Critical Percolation, Universality, and SLE$ 6$. Paralinear...

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Helen Lei | etakl.net Reviews

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Preprint] Transport and Equilibrium in Non-Conservative Systems. With L. Chayes. To appear in Advances in Differential Equations. On the Rate of Convergence for Critical Crossing Probabilities. With I. Binder and L. Chayes. Ann Inst. H. Poincare Probab. Statist. 51, no. 2, 672-715 (2015). Hamiltonian ODE's on a Space of Deficient Measures. With L. Chayes and W. Gangbo. Communications in Mathematical Sciences, 11, no. 1, 1-31 (2013). UCLA Thesis] Critical Percolation, Universality, and SLE$ 6$. Paralinear...

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1 papers

2 ucla thesis

3 slides

4 and script

5 notes etc

6 critical percolation

7 einstein summation notation

8 notes

9 on smirnov's paper

10 coupons

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Helen Lei | etakl.net Reviews

https://etakl.net

Preprint] Transport and Equilibrium in Non-Conservative Systems. With L. Chayes. To appear in Advances in Differential Equations. On the Rate of Convergence for Critical Crossing Probabilities. With I. Binder and L. Chayes. Ann Inst. H. Poincare Probab. Statist. 51, no. 2, 672-715 (2015). Hamiltonian ODE's on a Space of Deficient Measures. With L. Chayes and W. Gangbo. Communications in Mathematical Sciences, 11, no. 1, 1-31 (2013). UCLA Thesis] Critical Percolation, Universality, and SLE$ 6$. Paralinear...

INTERNAL PAGES

etakl.net

1

Algebra Qual

http://www.etakl.net/notes_etc/algebra/algebra.html

Here are some eccentric files I made in the course of studying for the algebra exam. I was in a quandary in that I knew enough algebra to not want to read an algebra book but not enough algebra to pass the exam. Also, it was rather difficult to find a good algebra book to commit to and study out of. In here you will find things like group action, Sylow's Theorems, basic properties of the symmetric group and free abelian group. I actually found A Course in Algebra. By the time I got to linear algebra, I r...

2

Numerical Analysis Qual

http://www.etakl.net/notes_etc/numerical/numerical.html

Here are some notes on finite difference schemes for PDEs. Some of these were produced rather quickly so there may be errors scattered throughout (especially with some of the calculations). The last section is incomplete/incorrect. It contains a little more than I wanted to know about Laplace transforms but unfortunately not enough of what I wanted to know about boundary conditions. A simple list of some common finite difference schemes and their properties.

3

Critical Percolation

http://www.etakl.net/notes_etc/critical_percolation.html

Some lecture notes on critical percolation, starting from the beginning and ending with Kesten's scaling relations. I Introduction and Existence of Phase Transition. III Rescaling and Scale Invariance. IV Characteristic Length and $p c = 1/2$. V "Fences and Corridors". VI Universal Arm Exponents. VII Variation of Parameter. VIII Kesten's Scaling Relations.

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etakl.net

Helen Lei

Preprint] Transport and Equilibrium in Non-Conservative Systems. With L. Chayes. To appear in Advances in Differential Equations. On the Rate of Convergence for Critical Crossing Probabilities. With I. Binder and L. Chayes. Ann Inst. H. Poincare Probab. Statist. 51, no. 2, 672-715 (2015). Hamiltonian ODE's on a Space of Deficient Measures. With L. Chayes and W. Gangbo. Communications in Mathematical Sciences, 11, no. 1, 1-31 (2013). UCLA Thesis] Critical Percolation, Universality, and SLE$ 6$. Paralinear...

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