30 citations · 52 across the 13 of their papers we have counts for
13 papers
Equivalent Conditions for Domination of -sequences
Chang Sun, Zhenghe Zhang
It is well known that a -sequence is uniformly hyperbolic if and only it satisfies a uniform exponential growth condition. Similarly, for $\mathrm{GL}(2,…
General Theory of Momentum-Space Nonsymmorphic Symmetry
Chen Zhang, Z. Y. Chen, Zheng Zhang +1
As a fundamental concept of all crystals, space groups are partitioned into symmorphic groups and nonsymmorphic groups. Each nonsymmorphic group contains glide reflections or screw…
The moduli space of cubic threefolds with a non-Eckardt type involution via intermediate Jacobians
Sebastian Casalaina-Martin, Lisa Marquand, Zheng Zhang
There are two types of involutions on a cubic threefold: the Eckardt type (which has been studied by the first named and the third named authors) and the non-Eckardt type. Here we…
Unimodal singularities and boundary divisors in the KSBA moduli of a class of Horikawa surfaces
Patricio Gallardo, Gregory Pearlstein, Luca Schaffler +1
Smooth minimal surfaces of general type with , , and constitute a fundamental example in the geography of algebraic surfaces, and the 28-dimensional moduli spac…
On the Correspondence Between Domination and the Spectrum of Jacobi Operators
Kateryna Alkorn, Zhenghe Zhang
In this paper, we first develop a notion of dominated splitting for -sequences and show it is a stable property under -perturbation. Then…
Schrödinger Operators With Potentials Generated by Hyperbolic Transformations: I. Positivity of the Lyapunov Exponent
Artur Avila, David Damanik, Zhenghe Zhang
We consider discrete one-dimensional Schrödinger operators whose potentials are generated by sampling along the orbits of a general hyperbolic transformation. Specifically, we show…
The moduli space of cubic surface pairs via the intermediate Jacobians of Eckardt cubic threefolds
Sebastian Casalaina-Martin, Zheng Zhang
We study the moduli space of pairs consisting of a smooth cubic surface and a smooth hyperplane section, via a Hodge theoretic period map due to Laza, Pearlstein, and the second na…
Positive Lyapunov Exponents and a Large Deviation Theorem for Continuum Anderson Models, Briefly
Valmir Bucaj, David Damanik, Jake Fillman +4
In this short note, we prove positivity of the Lyapunov exponent for 1D continuum Anderson models by leveraging some classical tools from inverse spectral theory. The argument is m…
On the moduli space of pairs consisting of a cubic threefold and a hyperplane
Radu Laza, Gregory Pearlstein, Zheng Zhang
We study the moduli space of pairs consisting of a cubic threefold and a hyperplane in . The interest in this moduli comes from two sources: the study…
Compactifications of the moduli space of plane quartics and two lines
Patricio Gallardo, Jesus Martinez-Garcia, Zheng Zhang
We study the moduli space of triples consisting of quartic curves and lines and . Specifically, we construct and compactify the moduli space in two w…
Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent
Valmir Bucaj, David Damanik, Jake Fillman +4
We provide a complete and self-contained proof of spectral and dynamical localization for the one-dimensional Anderson model, starting from the positivity of the Lyapunov exponent…
A generic global Torelli theorem for certain Horikawa surfaces
Gregory Pearlstein, Zheng Zhang
Algebraic surfaces of general type with , and were described by Enriques and then studied in more detail by Horikawa. In this paper we consider a -dimensio…
A realization for a -Hermitian variation of Hodge structure of Calabi-Yau type with real multiplication
Zheng Zhang
We show that the -descents of the canonical -variation of Hodge structure of Calabi-Yau type over a tube domain of type can be realized as sub-variation…