On Standing Waves of 1D Nonlinear Schrödinger Equation With Triple Power Nonlinearity
Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.ABSTRACT For the one‐dimensional nonlinear Schrödinger equation with triple power nonlinearity and general exponents, we study analytically and numerically the existence and stability of standing waves. Special attention is paid to the curves of nonexistence and curves of stability change on the parameter planes.
Theo Morrison, Tai‐Peng Tsai
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Predict the writer's trait emotional intelligence from reproduced calligraphy. [PDF]
Sci RepLyu R +6 more
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Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2571-2629, September 2025.Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
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Interactions between universal composition operators and complex dynamics
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract This paper is concerned with universality properties of composition operators Cf$C_f$, where the symbol f$f$ is given by a transcendental entire function restricted to parts of its Fatou set. We determine universality of Cf$C_f$ when f$f$ is restricted to (subsets of) Baker and wandering domains.
Vasiliki Evdoridou +2 more
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A local-to-global inequality for spectral invariants and an energy dichotomy for Floer trajectories. [PDF]
J Fixed Point Theory ApplBuhovsky L, Tanny S.
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Taking limits in topological recursion
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot +4 more
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Jean-Marie Souriau's Symplectic Foliation Model of Sadi Carnot's Thermodynamics. [PDF]
Entropy (Basel)Barbaresco F.
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Random walk on sphere packings and Delaunay triangulations in arbitrary dimension
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We prove that random walks on a family of tilings of d$d$‐dimensional Euclidean space, with a canonical choice of conductances, converge to Brownian motion modulo time parameterization. This class of tilings includes Delaunay triangulations (the dual of Voronoi tessellations) and sphere packings.
Ahmed Bou‐Rabee, Ewain Gwynne
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Fundamental Interaction Niches: Towards a Functional Understanding of Ecological Networks' Resilience. [PDF]
Ecol LettMarjakangas EL, Dalsgaard B, Ordonez A.
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A lower bound on volumes of end‐periodic mapping tori
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract We provide a lower bound on the volume of the compactified mapping torus of a strongly irreducible end‐periodic homeomorphism f:S→S$f: S \rightarrow S$. This result, together with work of Field, Kim, Leininger, and Loving [J. Topol. 16 (2023), no.
Elizabeth Field +3 more
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