# Sharp Uniqueness Results for Discrete Evolutions

## TL;DR

This paper establishes precise conditions under which solutions to certain one-dimensional discrete evolution equations are unique, using advanced techniques from complex analysis and matrix theory.

## Contribution

It introduces sharp uniqueness criteria for discrete evolutions by leveraging complex Jacobi matrices and growth estimates of entire functions.

## Key findings

- Proved sharp uniqueness results for discrete evolutions.
- Developed a novel approach combining complex matrix theory with growth estimates.
- Established foundational results applicable to a broad class of discrete systems.

## Abstract

We prove sharp uniqueness results for a wide class of one-dimensional discrete evolutions. The proof is based on a construction from the theory of complex Jacobi matrices combined with growth estimates of entire functions.