Random planar trees and the Jacobian conjecture
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We develop a probabilistic approach to the celebrated Jacobian conjecture, which states that any Keller map (i.e. any polynomial mapping F:Cn→Cn$F\colon \mathbb {C}^n \rightarrow \mathbb {C}^n$ whose Jacobian determinant is a non‐zero constant) has a compositional inverse which is also a polynomial. The Jacobian conjecture may be formulated in
Elia Bisi +5 more
wiley +1 more source
Trojan Horse Investigation for AGB Stellar Nucleosynthesis
Universe, 2022 Asymptotic Giant Branch (AGB) stars are among the most important astrophysical sites influencing the nucleosynthesis and the chemical abundances in the Universe. From a pure nuclear point of view, several processes take part during this peculiar stage of
Maria Letizia Sergi +17 more
doaj +1 more source
Oxygen and Sodium Abundances in M13 (NGC 6205) Giants: Linking Globular Cluster Formation Scenarios, Deep Mixing, and Post-RGB Evolution [PDF]
, 2012 We present O, Na, and Fe abundances, as well as radial velocities, for 113 red giant branch (RGB) and asymptotic giant branch (AGB) stars in the globular cluster M13.
Johnson, Christian I. +1 more
core +2 more sources
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This study introduces a novel fractal–fractional extension of the Hodgkin–Huxley model to capture complex neuronal dynamics, with particular focus on intrinsically bursting patterns. The key innovation lies in the simultaneous incorporation of Caputo–Fabrizio operators with fractional order α for memory effects and fractal dimension τ for temporal ...
M. J. Islam +4 more
wiley +1 more source
Model Dust Envelopes for Asymptotic Giant Branch Stars. Carbon Stars. II. Carbon Stars [PDF]
Journal of Astronomy and Space Sciences, 1995 We have modeled the dust envelopes around carbon stars with close attention to the evolution of the structure of the dust shells. We use various dust density distributions to take account the effect of the superwind due to the helium shell flash by ...
Kyung-Won Suh, Hee-Joung Kwoun
doaj
The Isaac Newton Telescope Monitoring project: Stellar population in the IC 10 dwarf irregular galaxy [PDF]
Iranian Journal of Astronomy and Astrophysics, 2019 We have conducted an optical monitoring survey of IC 10 dwarf irregular galaxy in the Local Group, using the Isaac Newton Telescope (INT) with the wide-field camera (WFC), to identify the Asymptotic Giant Branch stars (AGBs).
Mahtab Gholami, Mohammad Taghi Mirtorabi
doaj +1 more source
From the atmosphere to the circumstellar environment in cool evolved stars
, 2014 We discuss and illustrate contributions that optical interferometry has made on our current understanding of cool evolved stars. We include red giant branch (RGB) stars, asymptotic giant branch (AGB) stars, and red supergiants (RSGs).
Paladini, Claudia, Wittkowski, Markus
core +1 more source
The stellar spectral features of nearby galaxies in the near infrared: tracers of thermally pulsing asymptotic giant branch stars? [PDF]
, 2015 We analyze the stellar absorption features in high signal-to-noise ratio near-infrared (NIR) spectra of the nuclear region of 12 nearby galaxies, mostly spirals.
R. Riffel +14 more
semanticscholar +1 more source
Goos–Hänchen effect singularities in transdimensional plasmonic films
Nanophotonics, Volume 14, Issue 25, Page 4513-4530, December 2025.Abstract We identify and classify topologically protected singularities for the reflection coefficient of transdimensional plasmonic systems. Originating from nonlocal electromagnetic response due to vertical electron confinement in the system, such singularities lead to lateral (angular) Goos–Hänchen shifts on the millimeter (milliradian) scale in the
Svend‐Age Biehs, Igor V. Bondarev
wiley +1 more source
Detailed AGB evolutionary models and near infrared colours of intermediate-age stellar populations: Tests on star clusters [PDF]
, 2014 We investigate the influence of Asymptotic Giant Branch stars on integrated colours of star clusters of ages between ~100 Myr and a few gigayears, and composition typical for the Magellanic Clouds.
Cassara', L. +4 more
core +1 more source