Results 41 to 50 of about 210 (150)
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
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Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta +2 more
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On discrete subgroups of the complex unit ball
Mathematische Nachrichten, Volume 298, Issue 10, Page 3272-3286, October 2025.Abstract In this paper, we study conditions for a discrete subgroup of the automorphism group of the n$n$‐dimensional complex unit ball to be of convergence type or second kind, connecting these classifications to the existence of Green's functions and subharmonic or harmonic functions on its quotient space.
Aeryeong Seo
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On the Measurement of Ocean Acidity With Ambient Sound
Journal of Geophysical Research: Oceans, Volume 130, Issue 10, October 2025.Abstract The volume‐integrated pH of seawater can be determined from the frequency and depth dependence of wind‐generated ambient noise in the ocean. Over the 1–10 kHz frequency band, three main processes contribute to the acoustic attenuation in seawater: the chemical relaxation of boric acid and magnesium carbonate (<3 kHz, related to pH) and of ...
Ernst M. Uzhansky +2 more
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Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
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Interpolation and random interpolation in de Branges–Rovnyak spaces
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract The aim of this paper is to characterize universal and multiplier interpolating sequences for de Branges–Rovnyak spaces H(b)$\mathcal {H}(b)$ where the defining function b$b$ is a general non‐extreme rational function. Our results carry over to recently introduced higher order local Dirichlet spaces and thus generalize previously known results
Andreas Hartmann, Giuseppe Lamberti
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On real and imaginary roots of generalised Okamoto polynomials
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract Recently, B. Yang and J. Yang derived a family of rational solutions to the Sasa–Satsuma equation, and showed that any of its members constitutes a partial‐rogue wave provided that an associated generalised Okamoto polynomial has no real roots or no imaginary roots.
Pieter Roffelsen, Alexander Stokes
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Grid cells, border cells, and discrete complex analysis. [PDF]
Front Comput Neurosci, 2023 Dabaghian Y.
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A unified approach to Schrödinger evolution of superoscillations and supershifts. [PDF]
J Evol Equ, 2022 Aharonov Y +3 more
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Global Bifurcation for Corotating and Counter-Rotating Vortex Pairs. [PDF]
Commun Math Phys, 2023 García C, Haziot SV.
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