Results 61 to 70 of about 835 (184)
Commuting Toeplitz Operators With Mixed Quasihomogeneous and Analytic Symbols
A major open problem in the theory of Toeplitz operators on the analytic Bergman space over the unit disk is the characterization of the commutant of a given Toeplitz operator, that is, the set of all bounded Toeplitz operators that commute with it. In this paper, we provide a complete description of bounded Toeplitz operators Tf, where the symbol f ...
Aissa Bouhali +3 more
wiley +1 more source
Parabolic meromorphic functions [PDF]
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openaire +2 more sources
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun +2 more
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Singular direction of meromorphic functions with finite logarithmic order
In this article, we construct filling disks for meromorphic functions of order zero and that way we prove the existence of Borel directions of these functions.
Hu Keqi, Zhang Qingcai
doaj +1 more source
We study the equilibrium system with angular velocity for the prey. This system is a generalization of the two-species equilibrium model with Neumann type boundary condition.
Bo Meng
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Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs
ABSTRACT We study the worst‐case mixing time of the global Kawasaki dynamics for the fixed‐magnetization Ising model on the class of graphs of maximum degree Δ$$ \Delta $$. Proving a conjecture of Carlson, Davies, Kolla, and Perkins, we show that below the tree‐uniqueness threshold, the Kawasaki dynamics mix rapidly for all magnetizations. Disproving a
Aiya Kuchukova +3 more
wiley +1 more source
Compactifications of strata of differentials
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley +1 more source
Previously, many works dealt with the study of the order differential subordination and shortly after that other studies dealt with the order differential subordination in the unit disc.
Suha J. Hammad +2 more
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Sufficient conditions for meromorphic starlikeness and close-to-convexity of order α
The object of the present paper is to derive a property of certain meromorphic functions in the punctured unit disk. Our main theorem contains certain sufficient conditions for starlikeness and close-to-convexity of order α of meromorphic functions.
Nak Eun Cho, Shigeyoshi Owa
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Meromorphic functions that share four or three small functions with their difference operators
In this paper, we prove that non-constant meromorphic functions of finite order and their difference operators are identical, if they share four small functions “IM”, or share two small functions and ∞ CM. Our results show that a conjecture posed by Chen–
Huifang Liu, Zhiqiang Mao
doaj +1 more source

