# Posts

• ## Replica method and random matrices (II)

$$\def\cP{\mathcal P}$$ $$\def\de{\text{d}}$$ $$\def\N{\mathbb N}$$ $$\def\P{\mathbb P}$$ $$\def\bi{\boldsymbol i}$$ $$\def\bG{\boldsymbol G}$$ $$\def\bsigma{\boldsymbol \sigma}$$ $$\def\bv{\boldsymbol v}$$ $$\def\bu{\boldsymbol u}$$ $$\def\bt{\boldsymbol t}$$ $$\def\bw{\boldsymbol w}$$ $$\def\sT{\mathsf T}$$ $$\def\bW{\boldsymbol W}$$ $$\def\bA{\boldsymbol A}$$ $$\def\R{\mathbb R}$$ $$\def\S{\mathbb S}$$ $$\def\GOE{\text{GOE}}$$ $$\def\|{\Vert}$$ $$\def\bx{\boldsymbol x}$$ $$\def\cN{\mathcal N}$$ $$\def\E{\mathbb E}$$ $$\def\de{\text{d}}$$ $$\def\vphi{\varphi}$$ $$\def\bQ{\boldsymbol Q}$$ $$\def\diag{\text{diag}}$$ $$\def\bzero{\boldsymbol 0}$$ $$\def\id{\mathbf I}$$ $$\def\ones{\mathbf 1}$$ $$\def\ext{\text{ext}}$$ $$\def\|{\Vert}$$ $$\def\bLambda{\boldsymbol \Lambda}$$ $$\def\const{\text{const}}$$ $$\def\Unif{\text{Unif}}$$ $$\def\bSigma{\boldsymbol \Sigma}$$ $$\def\C{\mathbb C}$$ $$\def\tr{\text{tr}}$$ 1. Introduction In my previous post, we saw how to use the replica method... … read more »
• ## Replica method and random matrices (I)

$$\def\blambda{\boldsymbol \lambda}$$ $$\def\bX{\boldsymbol X}$$ $$\def\N{\mathbb N}$$ $$\def\P{\mathbb P}$$ $$\def\bi{\boldsymbol i}$$ $$\def\bG{\boldsymbol G}$$ $$\def\bsigma{\boldsymbol \sigma}$$ $$\def\bv{\boldsymbol v}$$ $$\def\bu{\boldsymbol u}$$ $$\def\sT{\mathsf T}$$ $$\def\bW{\boldsymbol W}$$ $$\def\bA{\boldsymbol A}$$ $$\def\R{\mathbb R}$$ $$\def\S{\mathbb S}$$ $$\def\GOE{\text{GOE}}$$ $$\def\|{\Vert}$$ $$\def\bx{\boldsymbol x}$$ $$\def\cN{\mathcal N}$$ $$\def\E{\mathbb E}$$ $$\def\de{\text{d}}$$ $$\def\vphi{\varphi}$$ $$\def\bQ{\boldsymbol Q}$$ $$\def\diag{\text{diag}}$$ $$\def\bzero{\boldsymbol 0}$$ $$\def\id{\mathbf I}$$ $$\def\ones{\mathbf 1}$$ $$\def\ext{\text{ext}}$$ $$\def\|{\Vert}$$ $$\def\bLambda{\boldsymbol \Lambda}$$ $$\def\const{\text{const}}$$ $$\def\Unif{\text{Unif}}$$ $$\def\bSigma{\boldsymbol \Sigma}$$ 1. Introduction In my first several posts, I will discuss about the replica method. The replica method is a non-rigorous... … read more »
• ## The topics of this Blog

Hello everyone, I am starting my research blog today. In my first several posts, I will discuss about methods from statistical physics, with applications to random matrix theory. Hope you will have fun! … read more »