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We investigate the distribution of energy density in a stationary self-reproducing inflationary universe. We show that the main fraction of volume of the universe in a state with a given density at any given moment of proper time t is…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Andrei Linde , Dmitri Linde , Arthur Mezhlumian

The geometry of unit $N$-dimensional $\ell_{p}$ balls has been intensively investigated in the past decades. A particular topic of interest has been the study of the asymptotics of their projections. Apart from their intrinsic interest,…

Probability · Mathematics 2010-10-22 Franck Barthe , Fabrice Gamboa , Li-Vang Lozada-Chang , Alain Rouault

We derive tests of stationarity for univariate time series by combining change-point tests sensitive to changes in the contemporary distribution with tests sensitive to changes in the serial dependence. The proposed approach relies on a…

Methodology · Statistics 2018-09-21 Axel Bücher , Jean-David Fermanian , Ivan Kojadinovic

We consider the problem of estimating the joint distribution function of the event time and a continuous mark variable when the event time is subject to interval censoring case 1 and the continuous mark variable is only observed in case the…

Statistics Theory · Mathematics 2011-02-10 Piet Groeneboom , Geurt Jongbloed , Birgit Witte

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

Methodology · Statistics 2013-10-16 David S. Matteson , Nicholas A. James

The frequency and magnitude of weather extreme events have increased significantly during the past few years in response to anthropogenic climate change. However, global statistical characteristics and underlying physical mechanisms are…

Atmospheric and Oceanic Physics · Physics 2022-09-07 Qing Yao , Jingfang Fan , Jun Meng , Valerio Lucarini , Henrik Jeldtoft Jensen , Kim Christensen , Xiaosong Chen

In this note, we establish the convergence in distribution of the maxima of i.i.d. random variables to the Gumbel distribution with the associated normalizing sequences for several examples that are related to the normal distribution.…

Probability · Mathematics 2021-03-29 Markus Bibinger

Many important problems in psychology and biomedical studies require testing for overdispersion, correlation and heterogeneity in mixed effects and latent variable models, and score tests are particularly useful for this purpose. But the…

Statistics Theory · Mathematics 2007-06-13 Hongtu Zhu , Heping Zhang

We investigate the bounding problem of causal effects in experimental studies in which the outcome is truncated by death, meaning that the subject dies before the outcome can be measured. Causal effects cannot be point identified without…

Methodology · Statistics 2024-04-29 Aixian Chen , Xia Cui , Guangren Yang

Rescattering of the struck quark in Deep Inelastic Scattering implies that measured parton distributions are not directly related to the Fock state probabilities of the target wave function. The production amplitudes acquire dynamical…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul Hoyer

Magnetic storms are the most prominent global manifestations of out-of-equilibrium magnetospheric dynamics. Investigating the dynamical complexity exhibited by geomagnetic observables can provide valuable insights into relevant physical…

The problem of one-dimensional randomly forced Burgers turbulence is considered in terms of (1+1) directed polymers. In the limit of strong turbulence (which corresponds to the zero temperature limit for the directed polymer system) using…

Statistical Mechanics · Physics 2018-09-26 Victor Dotsenko

We study the dynamics of macroscopic observables such as the magnetization and the energy per degree of freedom in Ising spin models on random graphs of finite connectivity, with random bonds and/or heterogeneous degree distributions. To do…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. P. L. Hatchett , I. Pérez Castillo , A. C. C. Coolen , N. S. Skantzos

The inverse problem for a disordered system involves determining the interparticle interaction parameters consistent with a given set of experimental data. Recently, Rutledge has shown (Phys. Rev. E63, 021111 (2001)) that such problems can…

Statistical Mechanics · Physics 2009-11-10 N. B. Wilding

Continuous-time long-term event prediction plays an important role in many application scenarios. Most existing works rely on autoregressive frameworks to predict event sequences, which suffer from error accumulation, thus compromising…

Machine Learning · Computer Science 2023-11-03 Wang-Tao Zhou , Zhao Kang , Ling Tian

I survey some recent advances in the applications of the analytical perturbative approach to the description of particle distributions in multi-jet processes. New tests of the perturbatively based picture in the (semi) soft region are…

High Energy Physics - Phenomenology · Physics 2009-10-30 Valery A. Khoze

We present results about financial market observables, specifically returns and traded volumes. They are obtained within the current nonextensive statistical mechanical framework based on the entropy $S_{q}=k\frac{1-\sum\limits_{i=1}^{W}…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Silvio M. Duarte Queiros , Luis G. Moyano , Jeferson de Souza , Constantino Tsallis

Recent results on subjet distributions from ZEUS are presented. The measured normalised cross sections were used to study the pattern of parton radiation. The comparison of the measurements with leading-logarithm parton-shower Monte Carlo…

High Energy Physics - Experiment · Physics 2007-05-23 Claudia Glasman

Many collider observables suffer from non-global logarithms not captured by standard resummation techniques. Classic examples are the light-jet mass event shape in the limit of small mass and the related hemisphere soft function. We derive…

High Energy Physics - Phenomenology · Physics 2016-12-21 Thomas Becher , Benjamin D. Pecjak , Ding Yu Shao

The large rapidity gap events, observed at HERA, have changed considerably our physical picture of deep inelastic scattering during the past years. We review the present theoretical understanding of diffractive DIS with emphasis on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Buchmüller
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