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The main objective of this paper is to show that two asymptotically stable steady states which belong to an analytic path of asymptotically stable steady states can be gradually transferred one to the other by successive changes of the…

Dynamical Systems · Mathematics 2007-05-23 E. Kaslik , A. M. Balint , A. Grigis , St. Balint

As Autonomous Systems (AS) become more ubiquitous in society, more responsible for our safety and our interaction with them more frequent, it is essential that they are trustworthy. Assessing the trustworthiness of AS is a mandatory…

Artificial Intelligence · Computer Science 2023-05-12 Gregory Chance , Dhaminda B. Abeywickrama , Beckett LeClair , Owen Kerr , Kerstin Eder

We have performed a series of high resolution N-body experiments on a Connection Machine CM-5 in order to study the stability of collisionless self-gravitating spherical systems. We interpret our results in the framework of symplectic…

Astrophysics · Physics 2015-06-24 J. Perez , J-M Alimi , J-J Aly , H. Scholl

In this work we study a significantly enlarged truncation of conformally reduced quantum gravity in the context of Asymptotic Safety, including all operators that can be resolved in such a truncation including up to the sixth order in…

High Energy Physics - Theory · Physics 2022-07-27 Benjamin Knorr

We investigate the consequences of combining swampland conjectures with the requirement of asymptotic safety. To this end, we explore the infrared regime of asymptotically safe gravity in the quadratic one-loop approximation, and we…

High Energy Physics - Theory · Physics 2021-10-20 Ivano Basile , Alessia Platania

We have studied in this paper, the stability of dynamical system in $f(R)$ gravity. We have considered the $f(R)$ $\gamma$-gravity and explored its dynamical analysis. We found six critical points among which only one describes an universe…

General Relativity and Quantum Cosmology · Physics 2016-11-29 R. D. Boko , M. J. S. Houndjo , J. Tossa

The study of AdS/CFT (or gauge/gravity) duality has been one of the most active and illuminating areas of research in string theory over the past decade. The scope of its relevance and the insights it is providing seem to be ever expanding.…

High Energy Physics - Theory · Physics 2010-02-16 John H. Schwarz

We study cosmological perturbations in the minimal theory of mass-varying massive gravity (MTMVMG), a constrained extension of mass-varying massive gravity that propagates only three physical degrees of freedom. We show that MTMVMG admits a…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Ahmad Khoirul Falah , Andy Octavian Latief , Husin Alatas , Bobby Eka Gunara

We classify the weakly interacting fixed points of general gauge theories coupled to matter and explain how the competition between gauge and matter fluctuations gives rise to a rich spectrum of high- and low-energy fixed points. The…

High Energy Physics - Theory · Physics 2017-08-02 Andrew D. Bond , Daniel F. Litim

We characterise asymptotic stability of port-Hamiltonian systems by means of matrix conditions using well-known resolvent criteria from $C_0$-semigroup theory. The idea of proof is based on a recent characterisation of exponential stability…

Analysis of PDEs · Mathematics 2023-12-12 Marcus Waurick , Hans Zwart

Taking into account the recently proposed poly-instanton corrections to the superpotential and combining the race-track with a KKLT respectively LARGE Volume Scenario in an intricate manner, we show that we gain exponential control over the…

High Energy Physics - Theory · Physics 2009-02-23 Ralph Blumenhagen , Sebastian Moster , Erik Plauschinn

Measurement-only quantum circuits offer a versatile platform for realizing intriguing quantum phases of matter. However, gapless symmetry-protected topological (gSPT) states remain insufficiently explored in these settings. In this Letter,…

Strongly Correlated Electrons · Physics 2026-04-07 Xue-Jia Yu , Sheng Yang , Shuo Liu , Hai-Qing Lin , Shao-Kai Jian

We study asymptotically safe gravity with Einstein-Hilbert truncation taking into account the renormalization group running of both gravitational and cosmological constants. We show the classical behavior of the theory is equivalent to a…

High Energy Physics - Theory · Physics 2011-11-03 Yi-Fu Cai , Damien A. Easson

Smart grid systems are characterized by high complexity due to interactions between a traditional passive network and active power electronic components, coupled using communication links. Additionally, automation and information technology…

Incremental stability is a property of dynamical systems that ensures the convergence of trajectories with respect to each other rather than a fixed equilibrium point or a fixed trajectory. In this paper, we introduce a related stability…

Systems and Control · Electrical Eng. & Systems 2025-10-14 P Sangeerth , David Smith Sundarsingh , Bhabani Shankar Dey , Pushpak Jagtap

In this paper, we consider N-level quantum angular momentum systems interacting with electromagnetic fields undergoing continuous-time measurements. We suppose unawareness of the initial state and physical parameters, entailing the…

Optimization and Control · Mathematics 2020-07-09 Weichao Liang , Nina H. Amini , Paolo Mason

We study asymptotic safety of models of the higher derivative quantum gravity with and without matter. The beta functions are derived by utilizing the functional renormalization group, and non-trivial fixed points are found. It turns out…

High Energy Physics - Theory · Physics 2017-08-22 Yuta Hamada , Masatoshi Yamada

Last decade has seen major improvements in the performance of artificial intelligence which has driven wide-spread applications. Unforeseen effects of such mass-adoption has put the notion of AI safety into the public eye. AI safety is a…

Computers and Society · Computer Science 2020-07-10 Mislav Juric , Agneza Sandic , Mario Brcic

Much of modern string theory research concerns AdS/CFT duality, or more generally, gauge/gravity duality. The main subjects are a) Testing and understanding such dualities by exploring how they work for systems with a lot of supersymmetry…

High Energy Physics - Theory · Physics 2017-08-23 John H. Schwarz

Measuring, characterizing and modelling the slow dynamics of glassy soft matter is a great challenge, with an impact that ranges from industrial applications to fundamental issues in modern statistical physics, such as the glass transition…

Soft Condensed Matter · Physics 2009-11-11 Luca Cipelletti , Laurence Ramos
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