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For various values of n, d, and the phase space dimension, we construct simple examples of Hamiltonian and reversible systems possessing smooth d-parameter families of invariant n-tori carrying conditionally periodic motions. In the…

Dynamical Systems · Mathematics 2020-05-12 Mikhail B. Sevryuk

Owing to the pioneering work of Contopoulos, a strongly barred galaxy is known to have irregular orbits in the vicinity of the bar. By definition, irregular orbits can not be represented by action-angle tori everywhere in phase space. This…

Astrophysics of Galaxies · Physics 2015-08-26 Martin D. Weinberg

We consider a class of quasi-integrable Hamiltonian systems obtained by adding to a non-convex Hamiltonian function of an integrable system a perturbation depending only on the angle variables. We focus on a resonant maximal torus of the…

Dynamical Systems · Mathematics 2015-06-11 Livia Corsi , Roberto Feola , Guido Gentile

A novel tool for tsunami wave modelling is presented. This tool has the potential of being used for operational purposes: indeed, the numerical code \VOLNA is able to handle the complete life-cycle of a tsunami (generation, propagation and…

Classical Physics · Physics 2020-02-20 Denys Dutykh , Raphaël Poncet , Frédéric Dias

We review the available methods for estimating actions, angles and frequencies of orbits in both axisymmetric and triaxial potentials. The methods are separated into two classes. Unless an orbit has been trapped by a resonance, convergent,…

Astrophysics of Galaxies · Physics 2016-02-17 Jason L. Sanders , James Binney

(Abriged) We present analytic models for the formation and evolution of tidal tails and related structures following impulsive disturbances in galaxy collisions. Since the epicyclic approximation is not valid for large radial excursions, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Curtis Struck , Beverly J. Smith

We present an algorithm to compute the GIT-fan of algebraic torus actions on affine varieties.

Algebraic Geometry · Mathematics 2015-09-15 Simon Keicher

Estimating physical quantities such as the star formation rate, stellar mass and active galactic nucleus (AGN) fraction of galaxies is a key step in understanding galaxy formation and evolution. In order to estimate the uncertainties in the…

Astrophysics of Galaxies · Physics 2025-01-14 Michail Papadopoulos , Vicky Papadopoulou Lesta , Ioannis Michos , Duncan Farrah , Andreas Efstathiou

Using GPU-based HPC platforms efficiently for coupled cluster computations is a challenge due to heterogeneous hardware structures. The constant need to adapt software to these structures and the required man-hours makes a systematization…

Chemical Physics · Physics 2025-10-07 Jan Brandejs , Johann Pototschnig , Trond Saue

(abridged) This paper is the second part of a work investigating the properties of dusty tori in AGN by means of multi-component SED fitting. It focuses on low luminosity, low redshift (z < 0.25) AGN selected among emission line galaxies as…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Evanthia Hatziminaoglou , Jacopo Fritz , Tom Jarrett

We investigate generating functions for the integrals over world-sheet tori appearing in closed-string one-loop amplitudes of bosonic, heterotic and type-II theories. These closed-string integrals are shown to obey homogeneous and linear…

High Energy Physics - Theory · Physics 2020-01-22 Jan E. Gerken , Axel Kleinschmidt , Oliver Schlotterer

We provide a calculational method for rational stable equivariant homotopy theory for a torus G based on the homology of the Borel construction on fixed points. More precisely we define an abelian torsion model, A_t(G) of finite injective…

Algebraic Topology · Mathematics 2022-11-15 J. P. C. Greenlees

We construct continuous families of pairwise isospectral metrics on various Riemannian manifolds (e.g., Lie groups, projective spaces and products of these with tori) which arise as quotients of other manifolds. This is done by developing a…

Differential Geometry · Mathematics 2013-02-27 Alexander Engel

We present an algorithm turning any term of a linear quantum $\lambda$-calculus into a quantum circuit. The essential ingredient behind the proposed algorithm is Girard's geometry of interaction, which, differently from its well-known uses…

Logic in Computer Science · Computer Science 2026-02-20 Kostia Chardonnet , Ugo Dal Lago , Naohiko Hoshino , Paolo Pistone

This paper introduces Tiramisu, a polyhedral framework designed to generate high performance code for multiple platforms including multicores, GPUs, and distributed machines. Tiramisu introduces a scheduling language with novel extensions…

This article introduces ATAB, a tool that automatically generates pairwise reachability checks for action trees. Action trees can be used to study the behaviour of real-world concurrent programs. ATAB encodes pairwise reachability checks…

Logic in Computer Science · Computer Science 2016-04-25 Jonathan Hoyland , Matthew Hague

An ever increasing number of computer vision and image/video processing challenges are being approached using deep convolutional neural networks, obtaining state-of-the-art results in object recognition and detection, semantic segmentation,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-11 Lukas Cavigelli , Luca Benini

We provide evidence of the existence of KAM quasi-periodic attractors for a dissipative model in Celestial Mechanics. We compute the attractors extremely close to the breakdown threshold. We consider the spin-orbit problem describing the…

Dynamical Systems · Mathematics 2021-12-08 Renato Calleja , Alessandra Celletti , Joan Gimeno , Rafael de la Llave

The Abstraction and Reasoning Corpus remains one of the most compelling and challenging benchmarks for tracking progress toward achieving Artificial General Intelligence. In contrast to other evaluation datasets designed to assess an…

Artificial Intelligence · Computer Science 2025-11-05 Michael D. Moffitt

We explore physically self-consistent models of dusty molecular tori in Active Galactic Nuclei (AGN) with the goal of interpreting VLTI observations and fitting high resolution mid-IR spectral energy distributions (SEDs). The input dust…

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