Simple symmetric exclusion process
Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling
... the simple (symmetric) exclusion process on the com- plete graph [12] or in one dimensional graphs (segment and circle) [20, ...the process which is the focus of this paper: the ...
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Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps
... neighbor symmetric simple exclusion process with slow boundaries that was studied in [1] by considering long jumps, infinitely ex- tended reservoirs and also fast reservoirs, ...be ...
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Cutoff phenomenon for the simple exclusion process on the complete graph
... where O ε and o ε underline dependence in ε. In words: the time in which the distance to equilibrium drops from close to one to close to zero is at most of order n and much smaller than T mix . This phenomenon is known ...
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Hydrostatics and dynamical large deviations of boundary driven gradient symmetric exclusion
... above, resp. below, by the solution with initial condition equal to 1, resp. 0, and since these solutions converge, as t ↑ ∞, to the stationary profile ¯ ρ, hydrostatics follows from the hydrodynamics and the weak ...
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Current Fluctuations in the exclusion process and Bethe Ansatz
... The reformulation of the Bethe equations that we used here, is akin to the functional Bethe Ansatz [36, 38, 39]. This method can be generalized to many other problems: higher moments of the ASEP current (S. Prolhac, in ...
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Mixing time and cutoff for the weakly asymmetric simple exclusion process
... the simple exclusion process in which the lattice is a segment of length N and particles feel a bias towards the right that vanishes when N tends to ...Asymmetric Simple Exclusion ...
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Fractional Fick's law for the boundary driven exclusion process with long jumps
... the exclusion process since its introduction almost fifty years ago, it is very natural to investigate on the differences and the similarities between the finite jumps exclusion process and ...
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Nonequilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps
... limiting process is a symmetric, α-stable L´evy ...the exclusion process with long jumps, since the tagged particle does not have bounded moments of order greater than α, and in particular, of ...
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QUASI-STATIC LIMIT FOR THE ASYMMETRIC SIMPLE EXCLUSION
... side. (2) Reversible boundaries: we choose [ρ − (t), 1 − ρ − (t)] as rates of creation and destruc- tion on the left side, [ρ + (t), 1 − ρ + (t)] on the right side, by accelerating this bound- ary rates and the ...
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Cumulants of the current in the weakly asymmetric exclusion process
... asymmetric simple exclusion process (ASEP) is one of the most simple examples of a classical interacting particles system exhibiting a non equilibrium steady ...The exclusion constraint ...
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Exclusion process with long jumps in contact with reservoirs
... Z. simple exclusion process in an open lattice of length N − 1, called the bulk, in contact with two ...is symmetric the invariant measure is ...this process is studied in [ 30 ], and ...
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Symmetric tensors and symmetric tensor rank
... the symmetric decomposition of symmetric tensors, this topic has not been adequately addressed in the general literature, and even less so in the engineering ...of symmetric tensors of ...
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Computing symmetric rank for symmetric tensors
... catalecticant matrix M r,d−r defined in Definition 17 does not have maximal rank. Remark 22. Any divisor D ⊂ C d , with deg D ≤ d + 1, is such that dim < D >= deg D − 1. The following result has been proved by G. ...
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Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient
... are related to scaling limits for the current through the h−1, 0i bond in a zero-range dynamics. We call this relation the coupling method. The main problem is that the associated zero-range dynamics in the case of ...
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Totally Asymmetric Simple Exclusion Process on Networks
... and a one-vertex analytical result Eq. (6) (solid lines). The dashed lines delimit the different phases for c = 2. TASEP on a Bethe network. – As an example of closed random graphs with regular topology we consider the ...
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An efficient optimizer for simple point process models
... deterministic optimizer using graph-cut. This new algorithm is known as Multiple Birth and Cut (MBC). This method holds two parts, the stochastic part to explore a very large configuration space, and the deterministic ...
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Canopy of binary trees, Catalan tableaux and the asymmetric exclusion process
... by words w of length n on an alphabet with 2 letters (“occupied” or “empty” cell). There exist unique stationary probabilities prob(w;α, β) for any state w. Many works have been done by physicists, in particular Derrida ...
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A scientific point of view of a simple industrial tolerancing process
... a Univ. Bordeaux, I2M, UMR 5295, 351 Cours de la Libération, F-33400 Talence, France. b Arts et Metiers ParisTech, I2M, UMR 5295, F-33400 Talence, France Abstract The purpose of this paper is to decipher the ...
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Deprivation and Social Exclusion
... social exclusion is not explicitly taken into consideration because we assume that a first aggregation step has already been performed in order to arrive at this single measure of functioning ...
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Symmetric tensor decomposition
... 5. CONCLUSIONS AND FUTURE WORK We proposed an algorithm for symmetric tensor decom- position, extending the algorithm of Sylvester to dimen- sions higher than 2. The algorithm decomposes sym- metric tensors when ...
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