Results 41 to 50 of about 5,887 (185)
An Inequality of Meromorphic Vector Functions and Its Application
Abstract and Applied Analysis, 2011 Firstly, an inequality for vector-valued meromorphic functions is established which extend a corresponding inequality of Milloux for meromorphic scalar-valued function (1946).
Wu Zhaojun, Chen Yuxian
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From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract This paper surveys the impact of Eremenko and Lyubich's paper “Examples of entire functions with pathological dynamics”, published in 1987 in the Journal of the London Mathematical Society. Through a clever extension and use of classical approximation theorems, the authors constructed examples exhibiting behaviours previously unseen in ...
Núria Fagella, Leticia Pardo‐Simón
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Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
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Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2247-2304, December 2025.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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Uniqueness of meromorphic functions sharing two finite sets
Open Mathematics, 2017 We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross.
Chen Jun-Fan
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Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.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
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On the Growth of Wronskians Using their Relative Orders, Relative Types and Relative Weak Types
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 In this paper the comparative growth properties of composition of entire and meromorphic functions on the basis of their relative orders (relative lower orders), relative types and relative weak types of Wronskians generated by entire and meromorphic ...
Datta Sanjib Kumar +2 more
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Compactifications of strata of differentials
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3621-3636, December 2025.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
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On the dimension of the boundaries of attracting basins of entire maps
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Let f:C→C$f:\mathbb{C}\to \mathbb{C}$ be a transcendental entire map from the Eremenko–Lyubich class B$\mathcal {B}$, and let ζ$\zeta$ be an attracting periodic point of period p$p$. We prove that the boundaries of components of the attracting basin of (the orbit of) ζ$\zeta$ have hyperbolic (and, consequently, Hausdorff) dimension larger than
Krzysztof Barański +4 more
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Iitaka fibrations and integral points: A family of arbitrarily polarized spherical threefolds
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analog of Iitaka fibrations, which have not yet been adequately
Ulrich Derenthal, Florian Wilsch
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