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In this article we investigate the asymptotic behavior of a new class of multi-dimensional diffusions in random environment. We introduce cut times in the spirit of the work done by Bolthausen, Sznitman and Zeitouni, see [4], in the…

概率论 · 数学 2009-12-12 Ivan del Tenno

The power spectrum of weak lensing fluctuations has a non-Gaussian distribution due to its quadratic nature. On small scales the Central Limit Theorem acts to Gaussianize this distribution but non-Gaussianity in the signal due to…

宇宙学与河外天体物理 · 物理学 2022-06-29 Alex Hall , Andy Taylor

The definition and the properties of a Gaussian point distribution, in contrast to the well-known properties of a Gaussian random field are discussed. Constraints for the number density and the two-point correlation function arise. A simple…

天体物理学 · 物理学 2009-11-06 M. Kerscher

Motivated by the need for parametric families of rich and yet tractable distributions in financial mathematics, both in pricing and risk management settings, but also considering wider statistical applications, we investigate a novel…

统计金融 · 定量金融 2009-01-06 William T. Shaw , Ian R. C. Buckley

Until now only for specific crossovers between Poissonian statistics (P), the statistics of a Gaussian orthogonal ensemble (GOE), or the statistics of a Gaussian unitary ensemble (GUE) analytical formulas for the level spacing distribution…

介观与纳米尺度物理 · 物理学 2017-12-07 Frank Schweiner , Jeanine Laturner , Jörg Main , Günter Wunner

We use the non-statistical fluctuation instead of the full one to explore the higher moment singularities of net proton event distributions in the relativistic Au+Au collisions at $\sqrt{s_{NN}}$ from 11.5 to 200 GeV calculated by the…

We study mesoscopic linear statistics for a class of determinantal point processes which interpolates between Poisson and Gaussian Unitary Ensemble statistics. These processes are obtained by modifying the spectrum of the correlation kernel…

概率论 · 数学 2019-07-23 Kurt Johansson , Gaultier Lambert

We study the dependence on configuration in momentum space of the primordial 3-point function of density perturbations in several different scenarios: standard slow-roll inflation, curvaton and variable decay models, ghost inflation, models…

天体物理学 · 物理学 2009-07-09 Daniel Babich , Paolo Creminelli , Matias Zaldarriaga

We discuss the relevance of higher order moments of net baryon number fluctuations for the analysis of freeze-out and critical conditions in heavy ion collisions at LHC and RHIC. Using properties of O(4) scaling functions, we discuss the…

高能物理 - 唯象学 · 物理学 2015-05-27 B. Friman , F. Karsch , K. Redlich , V. Skokov

In a recent work we have introduced a novel approach to study the effect of weak non-linearities in the transfer function on the information transmitted by an analogue channel, by means of a perturbative diagrammatic expansion. We extend…

统计力学 · 物理学 2009-11-07 E. Korutcheva , V. Del Prete

We calculate the non-normalized moments of the particle multiplicity within the framework of the hadron resonance gas (HRG) model. At finite chemical potential $\mu$, a non-monotonic behavior is observed in the thermal evolution of third…

高能物理 - 唯象学 · 物理学 2014-03-18 A. Tawfik

A field theory with generalized statistics in one space dimension is introduced. The statistics enters the scene through the coupling of the matter fields to a statistical gauge field, as it happens in the Chern-Simons theory in two…

凝聚态物理 · 物理学 2009-10-28 Silvio J. Rabello

Thanks to the recent availability of large surveys, there has been renewed interest in third-order correlation statistics. Measures of third-order clustering are sensitive to the structure of filaments and voids in the universe and are…

天体物理学 · 物理学 2010-11-11 J. M. Loh

In a recent paper, we have a shown that the flattening of galactic rotation curves can be explained by retardation. However, this will rely on a temporal change of galactic mass. In our previous work, we kept only second order terms of the…

综合物理 · 物理学 2021-08-19 Asher Yahalom

This paper presents a novel approach for propagating uncertainties in dynamical systems building on high-order Taylor expansions of the flow and moment-generating functions (MGFs). Unlike prior methods that focus on Gaussian distributions,…

空间物理 · 物理学 2025-04-08 Giacomo Acciarini , Nicola Baresi , David Lloyd , Dario Izzo

The Gaussian model of discontinuous percolation, recently introduced by Ara\'ujo and Herrmann [Phys. Rev. Lett., 105, 035701 (2010)], is numerically investigated in three dimensions, disclosing a discontinuous transition. For the…

统计力学 · 物理学 2011-10-26 K. J. Schrenk , N. A. M. Araújo , H. J. Herrmann

In the study of subdiffusive wave-packet spreading in disordered Klein-Gordon (KG) nonlinear lattices, a central open question is whether the motion continues to be chaotic despite decreasing densities, or tends to become quasi-periodic as…

混沌动力学 · 物理学 2017-10-11 Chris G. Antonopoulos , Charalampos Skokos , Tassos Bountis , Sergej Flach

We use numerical simulations of ray tracing through N-body simulations to investigate weak lensing by large-scale structure. These are needed for testing the analytic predictions of two-point correlators, to set error estimates on them and…

天体物理学 · 物理学 2007-05-23 Bhuvnesh Jain , Uros Seljak , Simon White

We present the second-order general relativistic description of the observed galaxy number density in a cosmological framework. The observed galaxy number density is affected by the volume and the source effects, both of which arise due to…

宇宙学与河外天体物理 · 物理学 2015-06-22 Jaiyul Yoo , Matias Zaldarriaga

In this work we consider time series with a finite number of discrete point changes. We assume that the data in each segment follows a different probability density functions (pdf). We focus on the case where the data in all segments are…

数据分析、统计与概率 · 物理学 2007-05-23 Ali Mohammad-Djafari , Olivier Feron