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Interacting particle systems

Examples of interacting particle systems on Z as Pfaffian point processes : annihilating and coalescing random walks

Examples of interacting particle systems on Z as Pfaffian point processes : annihilating and coalescing random walks

... of interacting particle systems on Z, involving instanta- neously annihilating or coalescing nearest neighbour random walks, are shown to be Pfaffian point processes for all deterministic initial ...

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Interacting particle systems*

Interacting particle systems*

... complex systems can be modeled by stochastic particles that interact with each ...“Interacting Particle Systems” is widely used for a large family of models that take into account these ...

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One dimensional interacting particle systems as Pfaffian point processes

One dimensional interacting particle systems as Pfaffian point processes

... As for single times (example 3), there is a determinantal counterpart to extended processes. An extended determinantal point process is defined by replacing the Pfaf- fian in (5.1) by a determinant and the kernel by K : ...

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Some problems in stochastic analysis : Itô's formula for convex functions, interacting particle systems and Dyson's Brownian motion

Some problems in stochastic analysis : Itô's formula for convex functions, interacting particle systems and Dyson's Brownian motion

... Chapter 3 Pitman’s theorem and radial part of the 3-d Brownian Motion I: some discrete Markov chains.. 3.1 Two classical constructions.[r] ...

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Measure valued limits of interacting particle systems with k nary interactions  II, Finite dimensional limits

Measure valued limits of interacting particle systems with k nary interactions II, Finite dimensional limits

... This paper is the second in a series of papers devoted to k-nary interacting particles (see [18, 19]) and ideologically it is a development of [18]. However formally it does not depend on [18] that is devoted to ...

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modeling genetic algorithms with interacting particle systems

modeling genetic algorithms with interacting particle systems

... In measure valued processes literature the system (3) is usually called the limiting process. Such measure valued dynamical systems have arisen in such diverse scientific disciplines as physics, biology, ...

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Stochastic PDES, regularity structures, and interacting particle systems

Stochastic PDES, regularity structures, and interacting particle systems

... are both manifestations of a fundamental restriction of the theory which is the assumption of subcriticality which will be discussed later. Another important remark about the scope of the theory is that regularity ...

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Dynamics of condensation in stochastic particle systems

Dynamics of condensation in stochastic particle systems

... of systems in equilibrium with their surroundings. In such systems, an energy function governs the dynamics and the stationary ...of systems out of equilibrium lacks a general formalism and has drawn ...

168

Population dynamics and stochastic particle systems

Population dynamics and stochastic particle systems

... of interacting particle systems It is natural and useful to construct interacting particle systems via a probabilis- tic or graphical representation which was introduced by ...

117

Statistical Analysis and Data Analysis of Stock Market by Interacting Particle Models

Statistical Analysis and Data Analysis of Stock Market by Interacting Particle Models

... the interacting particle systems has been done in this ...the interacting particle systems are presented in this paper, where they are the continuous time Markov ...

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Analytical Valuation of Contingent Claims by Stochastic Interacting Systems for Stock Market

Analytical Valuation of Contingent Claims by Stochastic Interacting Systems for Stock Market

... and interacting particle systems and models, including stopping time theory and stochastic voter model, we model a financial stock price model that contains two types of investors, and we use this ...

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Dynamic properties of condensing particle systems

Dynamic properties of condensing particle systems

... stochastic particle systems establishing a cutoff is extremely difficult and results are only known for the exclusion process on various underlying ...

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Dynamic Characterization of Micro Particle Systems

Dynamic Characterization of Micro Particle Systems

... tracking particle-trajectories at varying initial ...granular systems with highly nonlinear ...for systems with a known maximum gap using the microscopic system and show that the measured group ...

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Degradation of polymer particle systems in agrocomplex

Degradation of polymer particle systems in agrocomplex

... Polymeric particle composite can be character- ized (Berthelot 1998) as material composed from two or more phases that diff er in their mechanical, physical and chemical ...composite systems, when the fi nal ...

5

Quantum conductance of homogeneous and inhomogeneous interacting electron systems

Quantum conductance of homogeneous and inhomogeneous interacting electron systems

... We obtain the conductance of a system of electrons connected to leads, within time-dependent density- functional theory, using a direct relation between the conductance and the density response function. Cor- rections to ...

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Interacting meaningfully with machine learning systems: Three experiments

Interacting meaningfully with machine learning systems: Three experiments

... Citation: Stumpf, S., Rajaram, V., Li, L., Wong, W-K., Burnett, M., Dietterich, T. G., Sullivan, E. and Herlocker, J. (2009). Interacting meaningfully with machine learning systems: Three experiments. ...

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Interacting meaningfully with machine learning systems: Three experiments

Interacting meaningfully with machine learning systems: Three experiments

... recommender systems that recommend substandard suppliers or incorrect parts, language translators that translate incorrectly, decision support systems that lead the user to overlook important factors, and ...

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Crossover between strong and weak measurement in interacting many body systems

Crossover between strong and weak measurement in interacting many body systems

... consider the intra-MZI operators, defined in a two-state single particle space, {|mi}, with m=1,2 for the “system” (an electron propagating in arm 1 or 2) and similarly m=3,4 for the “detector”. The dimensionless ...

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Focus on out-of-equilibrium dynamics in strongly interacting one-dimensional systems

Focus on out-of-equilibrium dynamics in strongly interacting one-dimensional systems

... 1D systems are known to exhibit bizarre properties ...1D systems can provide unique possibilities for charge and energy transport, as well as for quantum information processing and ...

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Ab initio formulation of the four-point conductance of interacting electronic systems

Ab initio formulation of the four-point conductance of interacting electronic systems

... which will be indicated by a superscript 4P in the associated 4-point conductance, G 4P . This definition is most suitable for ab-initio modeling and does not suffer from ambiguities present when one considers two ...

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