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In this work we present a reduction result for discrete time systems with two time scales. In order to be valid, previous results in the field require some strong hypotheses that are difficult to check in practical applications. Roughly…

动力系统 · 数学 2024-02-08 Luis Sanz , Rafael Bravo de la Parra , Marcos Marvá , Eva Sánchez

In this work we show how the concept of majorization in continuous distributions can be employed to characterize chaotic, diffusive and quantum dynamics. The key point lies in that majorization allows to define an intuitive arrow of time,…

数学物理 · 物理学 2019-07-24 Ignacio S. Gomez , Bruno G. da Costa , M. A. F. dos Santos

This paper presents a new way to account for downside and upside risks when producing density nowcasts of GDP growth. The approach relies on modelling location, scale and shape common factors in real-time macroeconomic data. While movements…

计量经济学 · 经济学 2024-05-29 Paul Labonne

We present a renormalization group (RG) approach to explain universal features of extreme statistics, applied here to independent, identically distributed variables. The outlines of the theory have been described in a previous Letter, the…

统计力学 · 物理学 2015-05-18 G. Gyorgyi , N. R. Moloney , K. Ozogany , Z. Racz , M. Droz

The exact statistics of an arbitrary quantum observable is analytically obtained. Due to the probabilistic nature of a sequence of intermediate measurements and stochastic fluctuations induced by the interaction with the environment, the…

统计力学 · 物理学 2019-06-19 Stefano Gherardini

The second-largest order statistic is of special importance in reliability theory since it represents the time to failure of a $2$-out-of-$n$ system. Consider two $2$-out-of-$n$ systems with heterogeneous random lifetimes. The lifetimes are…

统计理论 · 数学 2021-04-20 Sangita Das , Suchandan Kayal

Continuous-time Markov process models of contagions are widely studied, not least because of their utility in predicting the evolution of real-world contagions and in formulating control measures. It is often the case, however, that…

物理与社会 · 物理学 2016-11-23 Peter G. Fennell , Sergey Melnik , James P. Gleeson

In this paper we revisited the classical problem of max-sum equivalence of randomly weighted sums in two dimensions. In opposite to the most papers in literature, we consider that there exists some interdependence between the primary random…

概率论 · 数学 2025-05-27 Dimitrios G. Konstantinides , Charalampos D. Passalidis

Above the upper critical dimension, the breakdown of hyperscaling is associated with dangerous irrelevant variables in the renormalization group formalism at least for systems with periodic boundary conditions. While these have been…

统计力学 · 物理学 2014-02-10 Bertrand Berche , Ralph Kenna , Jean-Charles Walter

We study the distribution of finite size pseudo-critical points in a one-dimensional random quantum magnet with a quantum phase transition described by an infinite randomness fixed point. Pseudo-critical points are defined in three…

无序系统与神经网络 · 物理学 2008-03-12 Ferenc Iglói , Yu-Cheng Lin , Heiko Rieger , Cécile Monthus

We consider analytically as well as numerically the finite-size scaling behavior in the stationary state near the non-equilibrium phase transition of directed percolation within the mean field regime, i.e., above the upper critical…

统计力学 · 物理学 2009-11-11 S. Lubeck , H. -K. Janssen

A two parameter percolation model with nucleation and growth of finite clusters is developed taking the initial seed concentration \rho and a growth parameter g as two tunable parameters. Percolation transition is determined by the final…

统计力学 · 物理学 2016-11-30 Bappaditya Roy , S. B. Santra

In the context of the Covid-19 pandemic, multiple studies rely on two-way fixed effects (FE) models to assess the impact of mitigation policies on health outcomes. Building on the SIRD model of disease transmission, I show that FE models…

计量经济学 · 经济学 2021-06-22 Germain Gauthier

A systematic investigation is given of finite size effects in $d=2$ quantum gravity or equivalently the theory of dynamically triangulated random surfaces. For Ising models coupled to random surfaces, finite size effects are studied on the…

高能物理 - 理论 · 物理学 2016-09-06 N. D. Hari Dass

Extreme events have an important role which is sometime catastrophic in a variety of natural phenomena including climate, earthquakes and turbulence, as well as in man-made environments like financial markets. Statistical analysis and…

混沌动力学 · 物理学 2009-10-31 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia

Shrinkage of large particles, either through depolymerisation (i.e. progressive shortening) or through fragmentation (breakage into smaller pieces) may be modelled by discrete equations, of Becker-D\''oring type, or by continuous ones. In…

偏微分方程分析 · 数学 2024-07-08 Marie Doumic

Decisions are often based on imprecise, uncertain or vague information. Likewise, the consequences of an action are often equally unpredictable, thus putting the decision maker into a twofold jeopardy. Assuming that the effects of an action…

综合经济学 · 经济学 2022-05-03 Stefan Rass , Sandra König , Stefan Schauer

In the finite-size scaling analysis of Monte Carlo data, instead of computing the observables at fixed Hamiltonian parameters, one may choose to keep a renormalization-group invariant quantity, also called phenomenological coupling, fixed…

统计力学 · 物理学 2011-08-31 Francesco Parisen Toldin

The disorder-driven phase transition of the RFIM is observed using exact ground-state computer simulations for hyper cubic lattices in d=5,6,7 dimensions. Finite-size scaling analyses are used to calculate the critical point and the…

无序系统与神经网络 · 物理学 2015-05-20 Björn Ahrens , Alexander K. Hartmann

We investigate finite-size effects on the chiral phase diagram of strong interactions within the linear sigma model coupled to quarks. We estimate the modification of the pseudocritical transition line and isentropic trajectories for sizes…

核理论 · 物理学 2011-07-14 L. F. Palhares , E. S. Fraga , T. Kodama