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In this work, with the help of fractional calculus, it is shown a time dependence of entropy more general than the well known Pesin relation is derived. Here the equiprobability postulate is not assumed, the system dynamic in the phase…

Statistical Mechanics · Physics 2021-05-07 O. Sotolongo-Costa , I. Rodríguez-Vargas

This study presents a computational and theoretical framework inspired by thermodynamic principles to analyze the dynamics of economic inflation within adiabatic and non-adiabatic systems. In a framework referred to as developmental…

Physics and Society · Physics 2025-10-21 İdris Demir , Ali İhsan Keskin

A framework of inflation is formulated based on symmetry groups and their associated automorphic functions. In this setting the inflaton multiplet takes values in a curved target space constructed from a continuous group $G$ and a discrete…

High Energy Physics - Theory · Physics 2016-07-12 Rolf Schimmrigk

We study loop corrections to correlation functions of inflationary perturbations. Previous calculations have found that the two-point function can have a logarithmic running of the form log(k/mu), where k is the wavenumber of the…

High Energy Physics - Theory · Physics 2010-12-09 Leonardo Senatore , Matias Zaldarriaga

In this work, we investigate the possibility of generating an inflationary mechanism within the framework of a metric-$f(R)$ modified gravity theory, formulated in the Jordan frame. We explore whether the scalar field, non-minimally coupled…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-21 Elisa Fazzari , Chiara De Leo , Giovanni Montani , Matteo Martinelli , Alessandro Melchiorri , Guadalupe Cañas-Herrera

Recently, it was showed that there is a large N phase transition in Nflation, in which when the number of fields is large enough, the slow roll inflation phase will disappear. In this brief report, we illustrate the phase diagram for…

High Energy Physics - Theory · Physics 2009-03-28 Iftikhar Ahmad , Yun-Song Piao , Cong-Feng Qiao

Inflation exhibits state-dependent, skewed, and fat-tailed dynamics that make risk a central concern for monetary policy. Accordingly, inflation risks are distributional and cannot be fully captured by mean-based models. We propose a…

Econometrics · Economics 2026-01-29 Yunyun Wang , Tatsushi Oka , Dan Zhu

We investigate the dynamics of homogeneous phase space for single-field models of inflation. Inflationary trajectories are formally attractors in phase space, but since in practice not all initial conditions lead to them, some degree of…

High Energy Physics - Theory · Physics 2014-11-20 Paul Franche , Rhiannon Gwyn , Bret Underwood , Alisha Wissanji

It is presumed that thermal fluctuations present during inflationary epoch can make inflaton scalar field to interact with other fields resulting in the existence of a thermal component during the inflationary period. The presence of this…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Subhra Bhattacharya

Phase transitions during inflation can generate a stochastic gravitational-wave background that probes primordial physics. We study the detectability and parameter reconstruction of such a signal with a space-based gravitational-wave…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-24 Qingyuan Liang , Chen Yang , Haipeng An , Huai-Ke Guo

Popular wisdom suggests that measuring the tensor to scalar ratio $r$ on CMB scales is a "proof of inflation" since one generic prediction is a scale-invariant tensor spectrum while alternatives predict $r$ that is many orders of magnitude…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-15 Ido Ben-Dayan , Udaykrishna Thattarampilly

Inflationary models, especially those with plateau-type potentials, are consistent with the cosmological data, but inflation itself does not resolve the initial singularity. This singularity is resolved, for example, by the idea of the…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Hiroki Matsui , Alexandros Papageorgiou , Fuminobu Takahashi , Takahiro Terada

This thesis is dedicated to studying cosmological inflation, which is a period of accelerated expansion in the very early Universe that is required to explain the observed anisotropies in the cosmic microwave background. Inflation, when…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-02 Chris Pattison

We derive the exact solution of a one-dimensional Markov functional model with log-normally distributed interest rates in discrete time. The model is shown to have two distinct limiting states, corresponding to small and asymptotically…

Computational Finance · Quantitative Finance 2015-05-19 Dan Pirjol

The effective field theory (EFT) of inflation provides a natural framework to study the new physical effects on primordial perturbations. Recently a healthy extension of the EFT of inflation with high-order operators has been proposed,…

High Energy Physics - Theory · Physics 2019-10-01 Jin Qiao , Guang-Hua Ding , Qiang Wu , Tao Zhu , Anzhong Wang

At the first stage of reheating after inflation, parametric resonance may rapidly transfer most of the energy of an inflaton field $\phi$ to the energy of other bosons. We show that quantum fluctuations of scalar and vector fields produced…

High Energy Physics - Theory · Physics 2009-09-29 Lev Kofman , Andrei Linde , Alexei A. Starobinsky

I devise a novel approach to evaluate the effectiveness of fiscal policy in the short run with multi-category treatment effects and inverse probability weighting based on the potential outcome framework. This study's main contribution to…

Econometrics · Economics 2020-08-11 Koiti Yano

We investigate, in a model-independent way, the conditions required to obtain a satisfactory model of extended inflation in which inflation is brought to an end by a first-order phase transition. The constraints are that the correct present…

Astrophysics · Physics 2009-10-28 Anne M Green , Andrew R Liddle

We study the problem of initial conditions for slow-roll inflation along a plateau-like scalar potential within the framework of fluctuation-dissipation dynamics. We consider, in particular, that inflation was preceded by a…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-09 Mar Bastero-Gil , Arjun Berera , Robert Brandenberger , Ian G. Moss , Rudnei O. Ramos , Joao G. Rosa

We discuss an inflation model, in which the inflation is driven by a single scalar field with exponential potential on a warped DGP brane. In contrast to the power law inflation in standard model, we find that the inflationary phase can…

High Energy Physics - Theory · Physics 2009-11-10 Rong-Gen Cai , Hongsheng Zhang
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