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During inflation, higher derivative terms in the gravitational action may play a significant role. Building on new stable formulations of four-derivative scalar-tensor theories, we study the impact of these corrections in the case where the…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Sam E. Brady , Katy Clough , Pau Figueras , Áron D. Kovács

We consider a dynamic market model of liquidity where unmatched buy and sell limit orders are stored in order books. The resulting net demand surface constitutes the sole input to the model. We prove that generically there is no arbitrage…

Mathematical Finance · Quantitative Finance 2018-04-10 Sergey Lototsky , Henry Schellhorn , Ran Zhao

We investigate the cosmic inflation within a class of the scalar-tensor model with the scalar-dependent non-minimal kinetic couplings. The inflationary dynamical potential will be applied. Using the slow-roll approximation, we compute…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Feyzollah Younesizadeh , Davoud Kamani

In this work, we consider intermediate inflation in context of the Generalized Non-Minimal Derivative Coupling (GNMDC) model. In this model, inflation is driven by a canonical scalar field that is coupled not only to gravity but also to the…

High Energy Physics - Theory · Physics 2024-10-04 Parviz Goodarzi

Empirical evidence suggests that there is little to no correlation between the rate of inflation and the size of price change. Economists have hitherto taken this to mean that monetary shocks do not generate much deviation in relative…

Theoretical Economics · Economics 2026-01-28 Vipin P Veetil

The paper develops general, discrete, non-probabilistic market models and minmax price bounds leading to price intervals for European options. The approach provides the trajectory based analogue of martingale-like properties as well as a…

Mathematical Finance · Quantitative Finance 2015-11-06 Sebastian E. Ferrando , Alfredo L. Gonzalez , Ivan L. Degano , Massoome Rahsepar

This study is motivated by empirical observations of periodic fluctuations in interest rates, notably long-term economic cycles spanning decades, which the conventional Hull-White short-rate model fails to adequately capture. To address…

Statistical Finance · Quantitative Finance 2025-06-10 Amit Kumar Jha

We propose a novel mechanism for realizing slow-roll inflation that is fully consistent with observational data, based on conformal transformations acting exclusively on a complex scalar field -- without coupling to the gravitational…

High Energy Physics - Theory · Physics 2026-05-12 Kenji Ebata , So Katagiri , Yoshiki Matsuoka , Takaaki Sehara , Akio Sugamoto

We introduce and study a non-equilibrium continuous-time dynamical model of the price of a single asset traded by a population of heterogeneous interacting agents in the presence of uncertainty and regulatory constraints. The model takes…

Adaptation and Self-Organizing Systems · Physics 2009-04-23 V. I. Yukalov , D. Sornette , E. P. Yukalova

Brief periods of non-slow-roll evolution during inflation can produce interesting observable consequences, as primordial black holes, or an inflationary gravitational wave spectrum enhanced at small scales. We develop a model independent,…

High Energy Physics - Theory · Physics 2021-06-29 Gianmassimo Tasinato

We investigate the slow-roll inflation in the nonminimal derivative coupling (NDC) model with exponential, quadric, and quartic potentials. It was known that this model provides an enhanced slow-roll inflation induced by gravitationally…

General Relativity and Quantum Cosmology · Physics 2015-10-14 Yun Soo Myung , Taeyoon Moon , Bum-Hoon Lee

We show that, for the purpose of pricing Swaptions, the Swap rate and the corresponding Forward rates can be considered lognormal under a single martingale measure. Swaptions can then be priced as options on a basket of lognormal assets and…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Alexandre d'Aspremont

We consider asset price models whose dynamics are described by linear functions of the (time extended) signature of a primary underlying process, which can range from a (market-inferred) Brownian motion to a general multidimensional…

Mathematical Finance · Quantitative Finance 2022-07-28 Christa Cuchiero , Guido Gazzani , Sara Svaluto-Ferro

We present a model of inflation based on a racetrack model without flux stabilization. The initial conditions are set automatically through topological inflation. This ensures that the dilaton is not swept to weak coupling through either…

High Energy Physics - Theory · Physics 2008-11-26 Zygmunt Lalak , Graham G. Ross , Subir Sarkar

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

We investigate models in which inflation is driven by an ultraviolet safe and interacting scalar sector stemming from a new class of nonsupersymmetric gauge field theories. These new theories, differently from generic scalar models, are…

High Energy Physics - Phenomenology · Physics 2015-05-22 Niklas Grønlund Nielsen , Francesco Sannino , Ole Svendsen

We study anisotropic inflationary solutions when the inflaton and its derivative couple to a vector field. This type of coupling is motivated by D-brane inflationary models, in which the inflaton, and a vector field living on the D-brane,…

High Energy Physics - Theory · Physics 2018-06-06 Jonathan Holland , Sugumi Kanno , Ivonne Zavala

The general method is proposed for constructing a family of martingale measures for a wide class of evolution of risky assets. The sufficient conditions are formulated for the evolution of risky assets under which the family of equivalent…

Pricing of Securities · Quantitative Finance 2020-10-27 N. S. Gonchar

This study examines how inflationary dynamics are affected by $f(R)$ theories with a non-minimal coupling between matter and curvature. Both positive and negative corrections to the minimal coupling of General Relativity are considered, and…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Miguel Barroso Varela , Orfeu Bertolami , Andreas Mantziris

We review the main aspects of the warm inflation scenario, focusing on the inflationary dynamics and the predictions related to the primordial spectrum of perturbations, to be compared with the recent cosmological observations. We study in…

High Energy Physics - Phenomenology · Physics 2010-04-21 Mar Bastero-Gil , Arjun Berera
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