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Related papers: A Local-Global Criterion for Dynamics on P^1

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The goal of this paper is to discuss some of the results in [31] and [32] and expand upon the work there by proving a global weak existence result as well as a first bubbling analysis in finite time. In addition, an alternative local…

Analysis of PDEs · Mathematics 2021-12-17 Jerome Wettstein

We formulate world-volume actions that describe the dynamics of Dirichlet p-branes in a flat 10d background. The fields in these theories consist of the 10d superspace coordinates and an abelian world-volume gauge field. The global…

High Energy Physics - Theory · Physics 2009-10-30 Mina Aganagic , Costin Popescu , John H. Schwarz

Let $H$ be a connected spherical subgroup of a semisimple algebraic group $G$. In this paper, we give a criterion for $H$-orbit closures in the flag variety of $G$ to have nice geometric and cohomological properties. Our main tool is the…

Representation Theory · Mathematics 2010-06-29 Xuhua He , Jesper Funch Thomsen

We describe local mirror symmetry from a mathematical point of view and make several A-model calculations using the mirror principle (localization). Our results agree with B-model computations from solutions of Picard-Fuchs differential…

High Energy Physics - Theory · Physics 2009-09-25 T. -M. Chiang , A. Klemm , S. -T. Yau , E. Zaslow

This continues the investigation of a combinatorial model for the variation of dynamics in the family of rational maps of degree two, by concentrating on those varieties in which one critical point is periodic. We prove some general results…

Dynamical Systems · Mathematics 2009-09-25 Mary Rees

Based on methods of structural convergence we provide a unifying view of local-global convergence, fitting to model theory and analysis. The general approach outlined here provides a possibility to extend the theory of local-global…

Combinatorics · Mathematics 2018-10-18 Jaroslav Nesetril , Patrice Ossona de Mendez

For a finite dimensional spin-glass model we prove local order at low temperatures for both local observables and for products of observables at arbitrary mutual distance. When the Hamiltonian includes the Edwards-Anderson interaction we…

Disordered Systems and Neural Networks · Physics 2009-09-29 Pierluigi Contucci , Francesco Unguendoli

Motivated by Lang-Vojta's conjecture, we show that the set of dominant rational self-maps of an algebraic variety over a number field with only finitely many rational points in any given number field is finite by combining Amerik's theorem…

Algebraic Geometry · Mathematics 2020-06-17 Ariyan Javanpeykar , Junyi Xie

The relationship between geometric and variational principles remains central to Nonlinear Analysis. This paper introduces the \textbf{Orbit-Summability Fixed Point Criterion}, a novel, purely dynamical condition, and establishes its…

Functional Analysis · Mathematics 2025-12-23 Roblêdo Mak's Miranda Sette

Let $G$ be a locally compact second countable group equipped with an admissible non-degenerate Borel probability measure $\mu$. We generalize the notion of $\mu$-stationary systems to $\mu$-stationary $G$-factor maps $\pi: (X,\nu)\to…

Dynamical Systems · Mathematics 2024-05-28 Tattwamasi Amrutam , Martin Klötzer , Hanna Oppelmayer

Let F be a global field. In this work, we show that the Brauer-Manin condition on adelic points for subvarieties of a torus T over F cuts out exactly the rational points, if either F is a function field or, if F is the field of rational…

Algebraic Geometry · Mathematics 2016-09-29 Qing Liu , Fei Xu

Let K be a number field and let S be a finite set of places of K which contains all the Archimedean places. For any f(z) in K(z) of degree d at least 2 which is not a d-th power in \bar{K}(z), Siegel's theorem implies that the image set…

Number Theory · Mathematics 2016-01-20 Holly Krieger , Aaron Levin , Zachary Scherr , Thomas J. Tucker , Yu Yasufuku , Michael Zieve

Rational maps on the Riemann sphere occupy a distinguished niche in the general theory of smooth dynamical systems. First, rational maps are complex-analytic, so a broad spectrum of techniques can contribute to their study (quasiconformal…

Dynamical Systems · Mathematics 2016-09-06 Curtis T. McMullen

In this paper we present global and person-by-person (PbP) optimality conditions for general decentralized stochastic dynamic optimal control problems, using a discrete-time version of Girsanov's change of measure. The PbP optimality…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Bhagyashri Telsang , Seddik Djouadi , Charalambos D. Charalambous

We present new constructions of complex and p-adic Darmon points on elliptic curves over base fields of arbitrary signature. We conjecture that these points are global and present numerical evidence to support our conjecture.

Number Theory · Mathematics 2017-05-17 Xavier Guitart , Marc Masdeu , Mehmet Haluk Sengun

We investigate global continuation of periodic orbits of a differential equation depending on a parameter, assuming that a closed 1-form satisfying certain properties exists. We begin by extending the global continuation theory of…

Dynamical Systems · Mathematics 2020-10-20 Matthew D. Kvalheim , Anthony M. Bloch

This paper is an extension of an earlier paper that dealt with global dynamics in autonomous triangular maps. In the current paper, we extend the results on global dynamics of autonomous triangular maps to periodic non-autonomous triangular…

Dynamical Systems · Mathematics 2016-06-01 Rafael Luis

We consider the susceptibility function Psi(z) of a piecewise expanding unimodal interval map f with unique acim mu, a perturbation X, and an observable phi. Combining previous results (deduced from spectral properties of Ruelle transfer…

Dynamical Systems · Mathematics 2019-02-20 Viviane Baladi , Stefano Marmi , David Sauzin

In this paper, the global optimization problem $\min_{y\in S} F(y)$ with $S$ being a hyperinterval in $\Re^N$ and $F(y)$ satisfying the Lipschitz condition with an unknown Lipschitz constant is considered. It is supposed that the function…

Optimization and Control · Mathematics 2015-09-14 Daniela Lera , Yaroslav D. Sergeyev

In this paper we study an index of a critical orbit, defined in terms of the degree for invariant strongly indefinite functionals. We establish a relationship of this index with the index of a critical point of the mapping restricted to the…

Analysis of PDEs · Mathematics 2018-09-27 Anna Gołębiewska , Piotr Stefaniak