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Starting from the instability diagram of a traffic flow model, we derive conditions for the occurrence of congested traffic states, their appearance, their spreading in space and time, and the related increase in travel times. We discuss…

物理与社会 · 物理学 2009-10-26 Dirk Helbing , Martin Treiber , Arne Kesting , Martin Schönhof

In this work we consider a generalization of graph flows. A graph flow is, in its simplest formulation, a labeling of the directed edges with real numbers subject to various constraints. A common constraint is conservation in a vertex,…

组合数学 · 数学 2021-09-15 Daniël M. H. van Gent

A discrete model of traffic on a multilane road is considered. The traffic is presented as particles movement with a deterministic component and a stochastic one. Formulas for the traffic characteristics have been found. The model can…

物理与社会 · 物理学 2007-05-23 A. P. Buslaev , V. M. Prikhodko , A. G. Tatashev , M. V. Yashina

We define a broad class of deterministic stream functions and show they can be implemented as homomorphisms into a "state" monoid. The homomorphism laws are simpler than the conditions of previous semantic frameworks for stream program…

编程语言 · 计算机科学 2025-07-16 Tyler Hou , Michael Arntzenius , Max Willsey

We analyze the steady-state flow as a function of the initial density for a class of deterministic cellular automata rules (``traffic rules'') with periodic boundary conditions [H. Fuks and N. Boccara, Int. J. Mod. Phys. C 9, 1 (1998)]. We…

元胞自动机与格子气 · 物理学 2007-05-23 Janne V. Kujala , Tuomas J. Lukka

This article is the complement to [quant-ph/0611284], which proves that flows (as introduced by [quant-ph/0506062]) can be found efficiently for patterns in the one-way measurement model which have non-empty input and output subsystems of…

量子物理 · 物理学 2007-05-23 Niel de Beaudrap

In this paper, we investigate the stationary profiles of a convection-diffusion model for unidirectional pedestrian flows in domains with a single entrance and exit. The inflow and outflow conditions at both the entrance and exit as well as…

偏微分方程分析 · 数学 2026-04-10 Annalisa Iuorio , Gaspard Jankowiak , Peter Szmolyan , Marie-Therese Wolfram

We consider graph states of arbitrary number of particles undergoing generic decoherence. We present methods to obtain lower and upper bounds for the system's entanglement in terms of that of considerably smaller subsystems. For an…

量子物理 · 物理学 2009-07-15 Daniel Cavalcanti , Rafael Chaves , Leandro Aolita , Luiz Davidovich , Antonio Acin

The program dependence graph (PDG) represents data and control dependence between statements in a program. This paper presents an operational semantics of program dependence graphs. Since PDGs exclude artificial order of statements that…

编程语言 · 计算机科学 2018-03-09 Sohei Ito

We introduce and study a deterministic lattice model describing the motion of an infinite system of oppositely charged particles under the action of a constant electric field. As an application this model represents a traffic flow of cars…

动力系统 · 数学 2009-11-13 Michael Blank

Deterministic two-way transducers define the robust class of regular functions which is, among other good properties, closed under composition. However, the best known algorithms for composing two-way transducers cause a double exponential…

形式语言与自动机理论 · 计算机科学 2017-02-24 Luc Dartois , Paulin Fournier , Ismaël Jecker , Nathan Lhote

Deterministic equilibrium flows in transport networks can be investigated by means of Markov's processes defined on the dual graph representations of the network. Sustained movement patterns are generated by a subset of automorphisms of the…

物理与社会 · 物理学 2007-10-30 D. Volchenkov , Ph. Blanchard

We present a rigorous derivation of the flow at arbitrary time in a deterministic cellular automaton model of traffic flow. The derivation employs regularities in preimages of blocks of zeros, reducing the problem of preimage enumeration to…

动力系统 · 数学 2007-05-23 Henryk Fuks

We present a rigorous derivation of the flow at arbitrary time in a deterministic cellular automaton model of traffic flow. The derivation employs regularities in preimages of blocks of zeros, reducing the problem of preimage enumeration to…

动力系统 · 数学 2007-05-23 Henryk Fuks

We present a rigorous derivation of the flow at arbitrary time in a deterministic cellular automaton model of traffic flow. The derivation employs regularities in preimages of blocks of zeros, reducing the problem of preimage enumeration to…

comp-gas · 物理学 2009-10-31 Henryk Fuks

We consider a stochastic flow driven by a finite dimensional Brownian motion. We show that almost every realization of such a flow exhibits strong statistical properties such as the exponential convergence of an initial measure to the…

概率论 · 数学 2007-05-23 Dmitry Dolgopyat , Vadim Kaloshin , Leonid Koralov

Assignment flows denote a class of dynamical models for contextual data labeling (classification) on graphs. We derive a novel parametrization of assignment flows that reveals how the underlying information geometry induces two processes…

动力系统 · 数学 2019-10-17 Fabrizio Savarino , Christoph Schnörr

Random graphs offer a useful mathematical representation of a variety of real world complex networks. Exponential random graphs, for example, are particularly suited towards generating random graphs constrained to have specified statistical…

统计力学 · 物理学 2026-02-09 Alessio Catanzaro , Diego Garlaschelli , Subodh P. Patil

We introduce action-driven flows for causal variational principles, being a class of non-convex variational problems emanating from applications in fundamental physics. In the compact setting, H\"older continuous curves of measures are…

数学物理 · 物理学 2026-05-27 Felix Finster , Franz Gmeineder

We study the thermodynamic formalism for suspension flows over countable Markov shifts with roof functions not necessarily bounded away from zero. We establish conditions to ensure the existence and uniqueness of equilibrium measures for…

动力系统 · 数学 2016-01-05 Godofredo Iommi , Thomas Jordan , Mike Todd