Teng Zhang

activity

20222026

collaborators

Showing 2026Show all

6 papers · 1 filter

math.CV2026

Proof of the Agler--McCarthy entropy conjecture

Jialin Lei, Teng Zhang

In 2021, J.~Agler and J.~E. McCarthy proposed a two-step programme toward the celebrated Krzyż conjecture. The first step is to prove an entropy conjecture for polynomials whose ze…

math.CV2026

Intersections of Convex Hulls of Polynomial Shifts and Critical Points

Teng Zhang

Let $p (z)$ be a complex polynomial of degree $n \geq 2$ . For each $c \in C$ , let $K_{c}$ denote the convex hull of the zeros of $p (z) + c$ , and let $K^{'}$ denote the convex hull of…

math.FA2026

An operator triangle inequality for the quadratic symmetric modulus

Teng Zhang

50 years after Thompson's famous triangle inequality for the operator right modulus, we establish a triangle inequality for the quadratic symmetric modulus. We also discuss the cor…

math.FA2026

Johnson's determinantal identity for contiguous minors of Toeplitz matrices, with an accretive extension

Teng Zhang

Let $A$ be an $n \times n$ real Toeplitz matrix satisfying $A + A^{⊤} = 2 J_{n}$ , where $J_{n}$ is the all-ones matrix.If $A_{r} (i, j)$ denotes the $r \times r$ contiguous sub…

math.FA2026

Schur--Horn type inequalities for hyperbolic polynomials

Teng Zhang

We establish a Schur--Horn type inequality for symmetric hyperbolic polynomials. As an immediate consequence, we resolve a conjecture of Nam Q. Le on Hadamard-type inequalities for…

math.GT2026

Positive representations over real closed fields

Xenia Flamm, Nicolas Tholozan, Tianqi Wang +1

We develop the theory of $Θ$ -positive representations from general Fuchsian groups to linear groups over real closed fields. Our definition, which does not assume the boundary map…