Zheng Li

collaborators

3 papers

math.FA2025

On the existence of the KMS spectral gap in Gaussian quantum Markov semigroups

Zheng Li

In arXiv:2405.04947, it was shown that a Gaussian quantum Markov semigroup on the $d$ -mode bosonic Fock space with a unique faithful normal invariant state has a positive GNS spect…

math.FA2025

Spectral Analysis for Gaussian Quantum Markov Semigroups

Franco Fagnola, Zheng Li

Let $(T_{t})_{t \geq 0}$ be a Gaussian quantum Markov semigroup with a faithful normal invariant state $ρ$ . For every $s \in [0, 1]$ , the $s$ -embedding associated with $ρ$ induces a cont…

math.NT2025

On a conjecture of ErdÅs and Graham about the Sylvester's sequence

Zheng Li, Quanyu Tang

Let ${u_{n}}_{n = 1}^{\infty}$ be the Sylvester's sequence (sequence A000058 in the OEIS), and let $a_{1} < a_{2} < \dots$ be any other positive integer sequence satisfying $ \sum_{i=…

On the existence of the KMS spectral gap in Gaussian quantum Markov semigroups

Spectral Analysis for Gaussian Quantum Markov Semigroups

On a conjecture of ErdÅs and Graham about the Sylvester's sequence

On a conjecture of ErdÅs and Graham about the Sylvester's sequence