## From Particle Systems to Partial Differential Equations III: Particle Systems and PDEs III, Braga, Portugal, December 2014The main focus of this book is on different topics in probability theory, partial differential equations and kinetic theory, presenting some of the latest developments in these fields. It addresses mathematical problems concerning applications in physics, engineering, chemistry and biology that were presented at the Third International Conference on Particle Systems and Partial Differential Equations, held at the University of Minho, Braga, Portugal in December 2014. The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, providing a venue for them to present their latest findings and discuss their areas of expertise. Further, it was intended to introduce a vast and varied public, including young researchers, to the subject of interacting particle systems, its underlying motivation, and its relation to partial differential equations. This book will appeal to probabilists, analysts and those mathematicians whose work involves topics in mathematical physics, stochastic processes and differential equations in general, as well as those physicists whose work centers on statistical mechanics and kinetic theory. |

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### Contents

1 | |

Hydrodynamic Limit of Quantum Random Walks | 38 |

Subshock Formation in Reacting Gas Mixtures | 51 |

Compactness of Linearized Kinetic Operators | 73 |

Asymptotics for FBSDES with Jumps and Connections with Partial Integral Differential Equations | 99 |

General Cross Sections | 121 |

Dispersion Versus Dissipation | 144 |

The Gradient Flow Approach to Hydrodynamic Limits for the Simple Exclusion Process | 167 |

Convergence of DiffusionDrift Many Particle Systems in Probability Under a Sobolev Norm | 195 |

From Market Data to AgentBased Models and Stochastic Differential Equations | 225 |

Global Asymptotic Stability of a General Nonautonomous CohenGrossberg Model with Unbounded Amplification Functions | 243 |

Phase Transitions and CoarseGraining for a System of Particles in the Continuum | 263 |

Measuring Small Sets in the Presence of Elliptic Operators | 284 |

Hard Spheres ShortRange Potentials and Beyond | 301 |

Duality Relations for the Periodic ASEP Conditioned on a Low Current | 323 |

Symmetries and Martingales in a Stochastic Model for the NavierStokes Equation | 185 |

### Other editions - View all

From Particle Systems to Partial Differential Equations III: Particle ... Patrícia Gonçalves,Ana Jacinta Soares No preview available - 2016 |