Loewner's Differential Equation and Spidernets

TL;DR

This paper explores a quantum probability perspective on Loewner's differential equation, approximating the process with adjacency matrices of growing graphs constructed via the comb product of spidernets.

Contribution

It introduces a novel approach linking Loewner's differential equation with quantum probability and graph theory through spidernets.

Findings

Establishes a connection between Loewner's equation and quantum processes.

Uses graph adjacency matrices to approximate quantum processes.

Introduces a new graph construction method involving spidernets.

Abstract

We regard a certain type of Loewner's differential equation from a quantum probability point of view and approximate the underlying quantum process by the adjacency matrices of growing graphs which arise from the comb product of certain spidernets.