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This note introduces a new notion of random dynamical system with inputs and outputs, and sketches a small-gain theorem for monotone systems which generalizes a similar theorem known for deterministic systems.

Systems and Control · Computer Science 2013-01-01 Michael Marcondes de Freitas , Eduardo D. Sontag

In this paper, we obtain new observability inequalities for the vibrating string. This work was motivated by a recent paper by A. Szij\'art\'o and J. Heged\H{u}s in which the authors ask the question of determining the initial data by only…

Optimization and Control · Mathematics 2013-05-29 Ambroise Vest

We comment on the latest paper [K.-H. Ding, Z.-G. Zhu, and J. Berakdar, J. Phys.: Condens. Matter 24, 266003 (2012)].

Mesoscale and Nanoscale Physics · Physics 2012-12-04 Y. Zhou , M. W. Wu

Some recent developments in the weakly-coupled heterotic string phenomenology are reviewed. We discuss several important issues such as dilaton/moduli stabilization, supersymmetry breaking (by hidden-sector gaugino condensation), gauge…

High Energy Physics - Phenomenology · Physics 2009-07-07 Yi-Yen Wu

I present an outline of chiral perturbation theory and discuss some recent developments in the field.

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Gasser

We use ideas from distributed computing and game theory to study dynamic and decentralized environments in which computational nodes, or decision makers, interact strategically and with limited information. In such environments, which arise…

Computer Science and Game Theory · Computer Science 2017-04-06 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright

There are two main reasons for the recent renewal of interest in cosmic strings: Fundamental string-theory models suggest their existence; and there are at least two tentative observations of their possible effects. In this talk, I review…

Astrophysics · Physics 2007-05-23 T. W. B. Kibble

An overview of some of the developments in string theory over the past two years is given, focusing on four topics: realistic (standard model like) models from string theory, geometric engineering and theories with fluxes, the gauge…

High Energy Physics - Theory · Physics 2015-06-26 Jan de Boer

We will consider here some dynamics of the tangent map, weaker than hyperbolicity, and we will discuss if these structures are rich enough to provide a good description of the dynamics from a topological and geometrical point of view. This…

Dynamical Systems · Mathematics 2007-05-23 Enrique R. Pujals

A synthetic report of the advances in the study of classical and quantum string dynamics in curved backgrounds is provided, namely: the new feature of multistring solutions; the effect of a cosmological constant and of spacial curvature on…

High Energy Physics - Theory · Physics 2011-07-19 Norma G. Sanchez

We discuss the long-run behavior of stochastic dynamics of many interacting players in spatial evolutionary games. In particular, we investigate the effect of the number of players and the noise level on the stochastic stability of Nash…

Statistical Mechanics · Physics 2009-11-07 Jacek Miekisz

We study the motion of a ring string in the background of the Bardeen-AdS black hole surrounded by the quintessence dark energy. The effects of the magnetic monopole charge, the quintessence state parameter, and the quintessence…

General Relativity and Quantum Cosmology · Physics 2022-11-16 Jiayu Xie , Yaxuan Wang , Bing Tang

This short article is devoted to the dynamics of controlled (and, therefore, open) systems. The internal forces, which appear only in the presence of external free controls and depend explicitely on them, are considered. Such interactive…

History and Overview · Mathematics 2007-05-23 Denis V. Juriev

The paper is focused on the discussion of the phenomenon of transitional chaos in dynamic autonomous and non-autonomous systems. This phenomenon involves the disappearance of chaotic oscillations in specific time periods and the system…

Chaotic Dynamics · Physics 2026-02-10 Marek Berezowski

In these lectures we give a brief introduction to perturbative and non-perturbative string theory. The outline is the following: 1. Introduction to perturbative string theory 1.1 From point particle to extended objects 1.2 Free closed and…

High Energy Physics - Theory · Physics 2016-09-06 Ignatios Antoniadis , Guillaume Ovarlez

Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

Chaotic Dynamics · Physics 2011-09-22 Tobias Galla , J. Doyne Farmer

Configurations of vortex-strings stretched between or ending on domain walls were previously found to be 1/4 BPS states. Among zero modes of string positions, the center of mass of strings in each region between two adjacent domain walls is…

High Energy Physics - Theory · Physics 2009-03-24 Minoru Eto , Toshiaki Fujimori , Takayuki Nagashima , Muneto Nitta , Keisuke Ohashi , Norisuke Sakai

In this note, we review the recent developments in the string field theory in the temporal gauge. (Based on a talk presented by N.I. in the workshop {\it Quantum Field Theory, Integrable Models and Beyond}, Yukawa Institute for Theoretical…

High Energy Physics - Theory · Physics 2008-11-26 M. Ikehara , N. Ishibashi , H. Kawai , T. Mogami , R. Nakayama , N. Sasakura

With the constant increase of the number of autonomous vehicles and connected objects, tools to understand and reproduce their mobility models are required. We focus on chaotic dynamics and review their applications in the design of…

Multiagent Systems · Computer Science 2023-03-30 Martin Rosalie , Serge Chaumette

A two-dimensional small-world type network, subject to spatial prisoners' dilemma dynamics and containing an influential node defined as a special node with a finite density of directed random links to the other nodes in the network, is…

Disordered Systems and Neural Networks · Physics 2009-11-07 Beom Jun Kim , Ala Trusina , Petter Holme , Petter Minnhagen , Jean S. Chung , M. Y. Choi