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Ideal topological flat bands in chiral symmetric moiré systems from non-holomorphic functions [PDF]
Nature CommunicationsRecent studies on topological flat bands and their fractional states have revealed increasing similarities between moiré flat bands and Landau levels (LLs). For instance, like the lowest LL, topological exact flat bands with ideal quantum geometry can be
Siddhartha Sarkar +3 more
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Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type
Journal of Function Spaces, 2022 Let YI be nonhomogeneous Cartan-Hartogs domain of the first type, ϕ a holomorphic self-map, and ψ a fixed holomorphic function on YI. We study the weighted composition operator ψCϕf=ψf∘ϕ for a function f holomorphic on YI.
Jianbing Su, Ziyi Zhang
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Majorization Results for Certain Subfamilies of Analytic Functions
Journal of Function Spaces, 2021 Let h1z and h2z be two nonvanishing holomorphic functions in the open unit disc with h10=h20=1. For some holomorphic function qz, we consider the class consisting of normalized holomorphic functions f whose ratios fz/zqz and qz are subordinate to h1z and
Muhammad Arif +4 more
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Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus
Journal of High Energy Physics, 2021 Recently, Okuyama and Sakai proposed a novel holomorphic anomaly equation for the partition function of 2d Yang-Mills theory on a torus, based on an anholomorphic deformation of the propagator in the bosonic formulation.
Min-xin Huang
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Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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Geometric properties of holomorphic functions involving generalized distribution with bell number
AIMS Mathematics, 2023 One of the statistical tools used in geometric function theory is the generalized distribution which has recently gained popularity due to its use in solving practical issues.
S. Santhiya , K. Thilagavathi
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Inequalities Involving Essential Norm Estimates of Product-Type Operators
Journal of Mathematics, 2021 Consider an open unit disk D=z∈ℂ ...
Manisha Devi, Ajay K. Sharma, Kuldip Raj
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Holomorphic representation of quantum computations [PDF]
Quantum, 2022 We study bosonic quantum computations using the Segal-Bargmann representation of quantum states. We argue that this holomorphic representation is a natural one which not only gives a canonical description of bosonic quantum computing using basic elements
Ulysse Chabaud, Saeed Mehraban
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Holomorphic anomaly of 2d Yang-Mills theory on a torus revisited
Journal of High Energy Physics, 2019 We study the large N ’t Hooft expansion of the chiral partition function of 2d U(N) Yang-Mills theory on a torus. There is a long-standing puzzle that no explicit holomorphic anomaly equation is known for the partition function, although it admits a ...
Kazumi Okuyama, Kazuhiro Sakai
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Holomorphic vector fields and quadratic differentials on planar triangular meshes [PDF]
, 2015 Given a triangulated region in the complex plane, a discrete vector field $Y$ assigns a vector $Y_i\in \mathbb{C}$ to every vertex. We call such a vector field holomorphic if it defines an infinitesimal deformation of the triangulation that preserves ...
Lam, Wai Yeung, Pinkall, Ulrich
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