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Measures of inflation uncertainty and directional risk derived from higher moments of forecast distributions are contaminated by the first moment, but in distinct ways. Using individual density forecasts from the ECB Survey of Professional…

综合经济学 · 经济学 2026-03-20 Eric Vansteenberghe

We present a new, recursive approach to stochastic inflation which is self-consistent and solves multiple problems which plagued a certain number of previous studies, in particular in realistic contexts where the background spacetime is…

高能物理 - 理论 · 物理学 2013-11-13 Laurence Perreault Levasseur

Through the analysis of a dataset of ultra high frequency order book updates, we introduce a model which accommodates the empirical properties of the full order book together with the stylized facts of lower frequency financial data. To do…

交易与市场微观结构 · 定量金融 2014-09-05 Weibing Huang , Charles-Albert Lehalle , Mathieu Rosenbaum

Depending on the persistence of the underlying Markov chain shock, the standard New Keynesian model predicts starkly different conclusions at the Effective Lower Bound. We clear up this morass by using a truncated Markov chain. We prove…

综合经济学 · 经济学 2025-11-10 Haochun Ma , Jordan Roulleau-Pasdeloup

Quantum effects derived through conformal anomaly lead to an inflationary model that can be either stable or unstable. The unstable version requires a large dimensionless coefficient of about $5\times 10^8$ in front of the $R^2$ term that…

高能物理 - 理论 · 物理学 2016-10-20 Tiberio de Paula Netto , Ana M. Pelinson , Ilya L. Shapiro , Alexei A. Starobinsky

We study the impact of stochastic perturbations to deterministic dynamical systems using the formalism of the Ruelle response theory and explore how stochastic noise can be used to explore the properties of the underlying deterministic…

统计力学 · 物理学 2015-05-27 Valerio Lucarini

In many macroeconomic applications, confidence intervals for impulse responses are constructed by estimating VAR models in levels - ignoring cointegration rank uncertainty. We investigate the consequences of ignoring this uncertainty. We…

计量经济学 · 经济学 2019-10-08 Lenard Lieb , Stephan Smeekes

The most frequently used in physical application diffusive (based on the Fokker-Planck equation) model leans upon the assumption of small jumps of a macroscopic variable for each given realization of the stochastic process. This imposes…

统计力学 · 物理学 2007-05-23 Serge Shpyrko , V. V. Ryazanov

Toward explaining the persistence of biased inferences, we propose a framework to evaluate competing (mis)specifications in strategic settings. Agents with heterogeneous (mis)specifications coexist and draw Bayesian inferences about their…

理论经济学 · 经济学 2023-02-14 Kevin He , Jonathan Libgober

Complex physical systems are unavoidably subjected to external environments not accounted for in the set of differential equations that models them. The resulting perturbations are standardly represented by noise terms. We derive conditions…

适应与自组织系统 · 物理学 2019-06-26 Melvyn Tyloo , Robin Delabays , Philippe Jacquod

We provide a general probabilistic framework within which we establish scaling limits for a class of continuous-time stochastic volatility models with self-exciting jump dynamics. In the scaling limit, the joint dynamics of asset returns…

数理金融 · 定量金融 2019-12-02 Ulrich Horst , Wei Xu

A stochastic process, when subject to resetting to its initial condition at a constant rate, generically reaches a non-equilibrium steady state. We study analytically how the steady state is approached in time and find an unusual relaxation…

统计力学 · 物理学 2015-05-29 Satya N. Majumdar , Sanjib Sabhapandit , Gregory Schehr

We review the evidence that the erratic dynamics of markets is to a large extent of endogenous origin, i.e. determined by the trading activity itself and not due to the rational processing of exogenous news. In order to understand why and…

统计金融 · 定量金融 2010-09-16 Jean-Philippe Bouchaud

In this paper, it is shown that a simple formulation of Economic Model Predictive Control can be used which possesses two features that are generally viewed as mutually exclusive, namely, a rather short prediction horizon…

系统与控制 · 电气工程与系统科学 2020-11-23 Mazen Alamir , Gabriele Pannochia

We study the conditions under which input-output networks can dynamically attain a competitive equilibrium, where markets clear and profits are zero. We endow a classical firm network model with minimal dynamical rules that reduce…

综合经济学 · 经济学 2021-11-04 Théo Dessertaine , José Moran , Michael Benzaquen , Jean-Philippe Bouchaud

The paper introduces novel methodologies for the identification of coefficients of switched autoregressive and switched autoregressive exogenous linear models. We consider cases which system's outputs are contaminated by possibly large…

系统与控制 · 电气工程与系统科学 2019-09-02 Sarah Hojjatinia , Constantino M. Lagoa , Fabrizio Dabbene

A minimal stochastic dynamical model of the interbank network is introduced, with linear interactions mediated by an integral of recent variations. Defining stress as the variance over the banks' states, the interaction correction to the…

数理金融 · 定量金融 2023-11-30 Andrea Auconi

We study an excitable active rotator with slowly adapting nonlinear feedback and noise. Depending on the adaptation and the noise level, this system may display noise-induced spiking, noise-perturbed oscillations, or stochastic busting. We…

适应与自组织系统 · 物理学 2020-08-26 Igor Franović , Serhiy Yanchuk , Sebastian Eydam , Iva Bačić , Matthias Wolfrum

In this short paper, we study the simulation of a large system of stochastic processes subject to a common driving noise and fast mean-reverting stochastic volatilities. This model may be used to describe the firm values of a large pool of…

数值分析 · 数学 2021-10-13 Andrei Cozma , Christoph Reisinger

We present a path integral formalism to compute potentials for nonequilibrium steady states, reached by a multiplicative stochastic dynamics. We develop a weak-noise expansion, which allows the explicit evaluation of the potential in…

统计力学 · 物理学 2016-02-17 Daniel G. Barci , Zochil González Arenas , Miguel Vera Moreno