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This survey aims at collecting and presenting results for one-type, discrete time branching processes with random control functions. In particular, the subclass of critical migration processes with different regimes of immigration and…

概率论 · 数学 2014-11-25 George P. Yanev

In the so-called "microscopic" models of vehicular traffic, attention is paid explicitly to each individual vehicle each of which is represented by a "particle"; the nature of the "interactions" among these particles is determined by the…

统计力学 · 物理学 2009-10-31 Debashish Chowdhury , Ludger Santen , Andreas Schadschneider

In recent years it has become apparent that intriguing phenomenology exists at the threshold of black hole formation in a large class of general relativistic collapse models. This phenomenology, which includes scaling, self-similarity and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. W. Choptuik

We develop a phenomenological theory of critical phenomena in networks with an arbitrary distribution of connections $P(k)$. The theory shows that the critical behavior depends in a crucial way on the form of $P(k)$ and differs strongly…

统计力学 · 物理学 2009-11-07 A. V. Goltsev , S. N. Dorogovtsev , J. F. F. Mendes

Approach-level models were developed to accommodate the diversity of approaches within the same intersection. A random effect term, which indicates the intersection-specific effect, was incorporated into each crash type model to deal with…

应用统计 · 统计学 2018-05-17 Xuesong Wang , Jinghui Yuan , Xiaohan Yang

This article reviews classical and quantum aspects of critical phenomena in gravitational collapse. We pay special attention to the origin of the scaling law for black hole mass, and to phase transitions in which black hole formation turns…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Patrick R Brady , Mike J Cai

An account is given of the features, of the kind pertaining to q-statistics, of the dynamics at the one-dimensional critical attractors associated to the three familiar routes to chaos, intermittency, period doubling and quasiperiodicity.…

统计力学 · 物理学 2013-08-29 A. Robledo

This chapter first presents a rather personal view of some different aspects of predictability, going in crescendo from simple linear systems to high-dimensional nonlinear systems with stochastic forcing, which exhibit emergent properties…

地球物理 · 物理学 2014-08-26 Didier Sornette , Ivan Osorio

Traffic safety science has long been hindered by a fundamental data paradox: the crashes we most wish to prevent are precisely those events we rarely observe. Existing crash-frequency models and surrogate safety metrics rely heavily on…

I present empirical evidence that turbulent flows are closely analogous to critical phenomena, from a reanalysis of friction factor measurements in rough pipes. The data collapse found here corresponds to Widom scaling near critical points,…

统计力学 · 物理学 2009-11-11 Nigel Goldenfeld

Some points concerning the relation of strings to interfaces in statistical systems are discussed.

高能物理 - 理论 · 物理学 2007-05-23 Gernot Münster

Let a cluster be a term with a number of patterns occurring in it. We give two accounts of clusters, a geometric one as sets of (node and edge) positions, and an inductive one as pairs of terms with gaps (2nd order variables) and…

计算机科学中的逻辑 · 计算机科学 2017-08-29 Nao Hirokawa , Julian Nagele , Vincent van Oostrom , Michio Oyamaguchi

We consider emergence from the perspective of dynamics: states of a system evolving with time. We focus on the role of a decomposition of wholes into parts, and attempt to characterize relationships between levels without reference to…

物理学史与哲学 · 物理学 2024-10-22 Sean M. Carroll , Achyuth Parola

This is a brief review of critical phenomena in gravitational collapse. The conceptual issues are emphasized and some directions for future research are suggested. The paper is not addressed to the experts in the field -- for them little…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Piotr Bizoń

Universal shape profiles in a variety of systems contain crucial information on the underlying dynamics. We develop such shape profiles for earthquakes as a stronger test of theory against observations. The earthquake analysis shows good…

统计力学 · 物理学 2007-05-23 Amit P. Mehta , Karin A. Dahmen , Yehuda Ben-Zion

In a world that constantly changes, it is crucial to understand how those changes impact different systems, such as industrial manufacturing or critical infrastructure. Explaining critical changes, referred to as concept drift in the field…

机器学习 · 计算机科学 2025-10-14 David Komnick , Kathrin Lammers , Barbara Hammer , Valerie Vaquet , Fabian Hinder

We review here briefly the nature of precursors of global failures in three different kinds of many-body dynamical systems. First, we consider the lattice models of self-organised criticality in sandpiles and investigate numerically the…

统计力学 · 物理学 2007-05-23 Srutarshi Pradhan , Bikas K. Chakrabarti

Following a brief historical introduction of the notions of chaos in dynamical systems, we will present recent developments that attempt to profit from the rich structure and complexity of the chaotic dynamics. In particular, we will…

混沌动力学 · 物理学 2009-10-31 Louis J. Dube' , Philippe Despres

Experiments in various neural systems found avalanches: bursts of activity with characteristics typical for critical dynamics. A possible explanation for their occurrence is an underlying network that self-organizes into a critical state.…

We analyze access statistics of several popular webpages for a period of several years. The graphs of daily downloads are highly non-homogeneous with long periods of low activity interrupted by bursts of heavy traffic. These bursts are due…

物理与社会 · 物理学 2009-11-13 M. V. Simkin , V. P. Roychowdhury