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Unified theory of local integrals of motion
Ben Craps, Oleg Evnin, Dmitry Kovrizhin +1
Conservation laws are of paramount importance in our understanding of classical and quantum dynamics. Here, we present a general framework for constructing exact quantum integrals…
Analytic and numerical toolkit for the Anderson model in one dimension
Oleg Evnin
The Anderson model in one dimension is a quantum particle on a discrete chain of sites with nearest-neighbor hopping and random on-site potentials. It is a progenitor of many furth…
Random matrices with row constraints and eigenvalue distributions of graph Laplacians
Pawat Akara-pipattana, Oleg Evnin
Symmetric matrices with zero row sums occur in many theoretical settings and in real-life applications. When the offdiagonal elements of such matrices are i.i.d. random variables a…
Resistance distance distribution in large sparse random graphs
Pawat Akara-pipattana, Thiparat Chotibut, Oleg Evnin
We consider an Erdos-Renyi random graph consisting of N vertices connected by randomly and independently drawing an edge between every pair of them with probability c/N so that at…
The birth of geometry in exponential random graphs
Pawat Akara-pipattana, Thiparat Chotibut, Oleg Evnin
Inspired by the prospect of having discretized spaces emerge from random graphs, we construct a collection of simple and explicit exponential random graph models that enjoy, in an…