Zhang Teng

activity

20102026

most citedRobust recovery of multiple subspaces by geometric l_p minimization

54 citations · 105 across the 27 of their papers we have counts for

collaborators

Showing 2026Show all

17 papers · 1 filter

math.FA2026

Matrix Triangle Inequalities: Past, Present, and Future

Jean-Christophe Bourin, Teng Zhang

This survey provides a concise overview of matrix triangle inequalities. Classical topics, such as inequalities for unitarily invariant norms, are revisited from a different perspe…

math.CV2026

The Bloch constant is strictly smaller than the Ahlfors--Grunsky value

Teng Zhang

We prove that the classical Bloch constant is strictly smaller than the Ahlfors--Grunsky value, disproving the famous Bloch constant conjecture. The Lean 4 formalization of the mai…

math.CV2026

Borcea's 2-variance conjecture

Teng Zhang

In this paper, we prove Borcea's 2-variance conjecture. The Lean 4 formalization of the main results are also provided.

math.CV2026

Baernstein's quasi-norm monotonicity conjecture for polynomials with unimodular zero

Teng Zhang

Let $m$ denote the normalized Haar measure on the unit circle $T$ . For $0 < r < \infty$ , define $∥ f ∥_{r} := (\int_{T} ∣ f ∣^{r} d m)^{1/ r}$ …

math.CV2026

Holomorphic curves of finite lower order with few inflection points

Alexandre Eremenko, Teng Zhang

We prove a conjecture proposed by the first-named author in 1998. Let $f : C \to P^{n}$ be a transcendental linearly non-degenerate holomorphic curve of finite low…

math.CV2026

A counterexample to Fuchs's conjecture

Alexandre Eremenko, Teng Zhang

For every $ρ$ in (0, 1/2), we construct an entire function F of order $ρ$ whose logarithmic derivative has zero as a deficient value. This disproves an old conjecture of W. H. J. F…

math.FA2026

The $A$ -optimal design problem and the $S$ -matrix conjecture

Teng Zhang

The $S$ -matrix conjecture was formulated by Sloane and Harwit in 1976, motivated by an $A$ -optimal design problem arising in spectroscopy. It states that if $A$ is a nonsingular re…

math.CV2026

Sendov's conjecture holds for every degree $n \geq 1 0^{200000}$

Teng Zhang

Sendov's conjecture, first formulated in 1958, asserts that if a complex polynomial $f$ of degree $n \geq 2$ has all its zeros in the closed unit disk ${z \in \mathbb{C} : |z| \leq…

math.OA2026

On the embedding rigidity problem for uniformly locally finite coarse spaces

Teng Zhang

In this paper, we construct countable uniformly locally finite metric spaces $X$ and $Y$ such that $C_{u}^{*} (X)$ is isomorphic to a hereditary $C^{*}$ -subalgebra of $C_{u}^{*} (Y)$ , but neit…

math.OA2026

Isomorphism rigidity of uniform Roe algebras over arbitrary uniformly locally finite coarse spaces

Teng Zhang

Let $(X, E)$ and $(Y, F)$ be uniformly locally finite coarse spaces. We prove that every $C^{*}$ -algebra isomorphism $C_{u}^{*} (X, E) ≅ C_{u}^{*} (Y, F)$ fo…

math.FA2026

Plank theorems, Gaussian probabilistic estimates and Rump's 100 Euro conjecture

Teng Zhang

We prove Rump's 100-euro conjecture by deriving a weighted affine escape theorem from Ball's plank theorem in [Invent. Math. \textbf{104} (1991)]. More precisely, let $\mathbb{K}\i…

math.FA2026

On a conjecture of $λ$ -Aluthge transforms and Hilbert--Schmidt self-commutators

Teng Zhang

Let $A$ be a complex square matrix, and write its polar decomposition as $A = U ∣ A ∣$ . For $0 < λ < 1$ , the $λ$ -Aluthge transform of $A$ is defined by $Δ_{λ} (A) = ∣ A ∣^{λ} U ∣ A ∣^{1 - λ} .$ In 2007…

cond-mat.soft2026

Bonded-particle model for magneto-elastic rods

Gabriel Alkuino, Joel T. Clemmer, Christian D. Santangelo +1

We develop a bonded-particle model for magneto-elastic rods that unifies large deformations, contact, and long-range magnetic interactions within a single discrete-element framewor…

math.OA2026

Metric Properties: From $S$ -Divergence to Quantum Jensen Divergence

Teng Zhang

We extend the trace-logarithmic $S$ -divergence from matrices to tracial $C^{*}$ -algebras and finite von Neumann algebras, and show that its square root defines a metric on the invert…

math.FA2026

On interrelations among different versions of a Heron type mean and commutativity in $C^{*}$ -Algebras

Lajos Molnár, Teng Zhang

The extension of the concept of a mean of positive real numbers to noncommutative settings, e.g., for Hilbert space operators, is a widely studied question. For example, in quantum…

math.CV2026

Angle duality and a gap principle for convex combinations of incomplete polynomials on the unit circle

Teng Zhang

In this paper, we establish an angle duality and a gap principle for convex combinations of incomplete polynomials, extending two results of Ge and Gonek in [IMRN, 2024].Our approa…

math.FA2026

Weak majorization inequalities for the cubic and quartic coefficients of $e^{(A + B) t}$ versus $e^{A t} e^{B t}$

Teng Zhang

Let $A, B \in H_{n}$ and set $H = A + B$ . For each integer $k \geq 1$ define $Q_{k} := p = 0 \sum k (p k) A^{p} B^{k - p}, R_{k} := ℜ Q_{k} = \frac{Q _{k} + Q _{k}^{*}}{2} .$ Then $H^k=\left.\frac…

Matrix Triangle Inequalities: Past, Present, and Future

The Bloch constant is strictly smaller than the Ahlfors--Grunsky value

Borcea's 2-variance conjecture

Baernstein's quasi-norm monotonicity conjecture for polynomials with unimodular zero

Holomorphic curves of finite lower order with few inflection points

A counterexample to Fuchs's conjecture

The A-optimal design problem and the S-matrix conjecture

Sendov's conjecture holds for every degree n≥10200000

On the embedding rigidity problem for uniformly locally finite coarse spaces

Isomorphism rigidity of uniform Roe algebras over arbitrary uniformly locally finite coarse spaces

Plank theorems, Gaussian probabilistic estimates and Rump's 100 Euro conjecture

On a conjecture of λ-Aluthge transforms and Hilbert--Schmidt self-commutators

Bonded-particle model for magneto-elastic rods

Metric Properties: From S-Divergence to Quantum Jensen Divergence

On interrelations among different versions of a Heron type mean and commutativity in C∗-Algebras

Angle duality and a gap principle for convex combinations of incomplete polynomials on the unit circle

Weak majorization inequalities for the cubic and quartic coefficients of e(A+B)t versus eAteBt

The $A$ -optimal design problem and the $S$ -matrix conjecture

Sendov's conjecture holds for every degree $n \geq 1 0^{200000}$

On a conjecture of $λ$ -Aluthge transforms and Hilbert--Schmidt self-commutators

Metric Properties: From $S$ -Divergence to Quantum Jensen Divergence

On interrelations among different versions of a Heron type mean and commutativity in $C^{*}$ -Algebras

Weak majorization inequalities for the cubic and quartic coefficients of $e^{(A + B) t}$ versus $e^{A t} e^{B t}$