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We study nonlinear systems with observation errors. The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affine systems that render the closed loop systems input to state…

Optimization and Control · Mathematics 2007-05-23 Michael Malisoff , Ludovic Rifford , Eduardo Sontag

Over the last few years part of the quantum-gravity community has adopted a more optimistic attitude toward the possibility of finding experimental contexts providing insight on non-classical properties of spacetime. I review those…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Giovanni Amelino-Camelia

The asymptotic safety scenario of gravity conjectures that (i) the quantum field theory of gravity exists thanks to the presence of a non-trivial ultraviolet fixed point of the renormalization group, and that (ii) the fixed point has only a…

High Energy Physics - Theory · Physics 2013-05-16 Dario Benedetti

Nonperturbative treatments of the UV limit of pure gravity suggest that it admits a stable fixed point with positive Newton's constant and cosmological constant. We prove that this result is stable under the addition of a scalar field with…

High Energy Physics - Theory · Physics 2011-05-05 Roberto Percacci , Daniele Perini

We study inflation, perturbations, non-gaussinity and late-time cosmological dynamics of a tachyon field both minimally and non-minimally coupled to gravity. By analyzing the parameters space of the model, the viability of the model in…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Kourosh Nozari , Narges Rshidi

The current status of the recent developments of the second-order gauge-invariant cosmological perturbation theory is reviewed. To show the essence of this perturbation theory, we concentrate only on the universe filled with a single scalar…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Kouji Nakamura

The standard model is healthy is all respects except for the non-zero neutrino masses which require an extension of the minimal version

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul H. Frampton

We investigate the short distance fate of distinct classes of not asymptotically free supersymmetric gauge theories. Examples include super QCD with two adjoint fields and generalised superpotentials, gauge theories without superpotentials…

High Energy Physics - Theory · Physics 2018-04-04 Borut Bajc , Nicola Andrea Dondi , Francesco Sannino

General non-singular accelerating cosmological solutions for an initial cosmic period of pure vacuum birth era are derived. This vacuum era is described by a varying cosmological "constant" suggested by the Renormalisation Group flow of…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Georgios Kofinas , Vasilios Zarikas

We shortly review the state of art and perspectives of Extended Theories of Gravity.

General Relativity and Quantum Cosmology · Physics 2013-07-18 Salvatore Capozziello , Mariafelicia De Laurentis

Despite significant experimental sensitivity to point-like, weakly interacting particles at the electroweak mass scale, dark matter has not been found yet. This could hint at a more complex dark sector with multiple states or composite dark…

High Energy Physics - Phenomenology · Physics 2023-01-02 Juri Smirnov

Asymptotically safe gravity is based on the idea of the dependence of the gravitational coupling upon the distance from the origin, approaching its classical value in the weak field regime. We consider three cases of identifying the cut-off…

General Relativity and Quantum Cosmology · Physics 2024-04-04 A. F. Zinhailo

We study black holes with linear equation of state within the framework of asymptotically safe gravity. This study extends previous work on gravitational collapse in asymptotically safe gravity (that has been done for a dust fluid) by…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Ramin Hassannejad , Fatimah Shojai , Kazuharu Bamba

Building on recent advances in the understanding of gauge-Yukawa theories we explore possibilities to UV-complete the Standard Model in an asymptotically safe manner. Minimal extensions are based on a large flavor sector of additional…

High Energy Physics - Phenomenology · Physics 2018-02-23 Andrew D. Bond , Gudrun Hiller , Kamila Kowalska , Daniel F. Litim

In this paper, we have emphasized the stability analysis of the accelerating cosmological models obtained in $f(T)$ gravity theory. The behavior of the models based on the evolution of the equation of state parameter shows phantom-like…

General Relativity and Quantum Cosmology · Physics 2022-05-25 L. K. Duchaniya , Santosh V Lohakare , B. Mishra , S. K. Tripathy

The automotive industry is experiencing a transition from assisted to highly automated driving. New concepts for validation of Automated Driving System (ADS) include amongst other a shift from a "technology based" approach to a "scenario…

Software Engineering · Computer Science 2023-02-02 Ilona Cieslik , Víctor J. Expósito Jiménez , Helmut Martin , Heiko Scharke , Hannes Schneider

We investigate the problems of ghosts and stability in the framework of asymptotical safe theory of gravity in the Minkowski background. Within one loop corrections, we obtain explicitly the constraints on the coupling parameters. Applying…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Changjun Gao , Anzhong Wang

The current status of the recent developments of the second-order gauge-invariant cosmological perturbation theory is reviewed. To show the essence of this perturbation theory, we concentrate only on the universe filled with a single scalar…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Kouji Nakamura

Within the Asymptotic Safety scenario, we discuss whether Quantum Einstein Gravity (QEG) can give rise to a semi-classical regime of propagating physical gravitons (gravitational waves) governed by an effective theory which complies with…

High Energy Physics - Theory · Physics 2015-06-22 Daniel Becker , Martin Reuter

We use the functional renormalization group equation for the effective average action to study the non-Gaussian renormalization group fixed points (NGFPs) arising within the framework of f(R)-gravity minimally coupled to an arbitrary number…

High Energy Physics - Theory · Physics 2018-08-15 Natalia Alkofer , Frank Saueressig