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Redig, F.H.J. (author), van Wiechen, H. (author)We consider a class of multilayer interacting particle systems and characterize the set of ergodic probability measures with finite moments. The main technical tool is duality combined with successful coupling.journal article 2023
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Chazottes, JeanRené (author), Redig, F.H.J. (author)For a general class of lattice spin systems, we prove that an abstract Gaussian concentration bound implies positivity of the lower relative entropy density. As a consequence, we obtain uniqueness of translationinvariant Gibbs measures from the Gaussian concentration bound in this general setting. This extends earlier results with a different...journal article 2022
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Floreani, S. (author), Giardina', C. (author), Hollander, Frank den (author), Nandan, Shubhamoy (author), Redig, F.H.J. (author)This paper considers three classes of interacting particle systems on Z: independent random walks, the exclusion process, and the inclusion process. Particles are allowed to switch their jump rate (the rate identifies the type of particle) between 1 (fast particles) and ϵ∈ [0 , 1] (slow particles). The switch between the two jump rates...journal article 2022
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Carinci, Gioia (author), Giardinà, Cristian (author), Redig, F.H.J. (author)We consider consistent particle systems, which include independent random walkers, the symmetric exclusion and inclusion processes, as well as the dual of the KipnisMarchioroPresutti model. Consistent systems are such that the distribution obtained by first evolving n particles and then removing a particle at random is the same as the one...journal article 2021
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van Ginkel, G.J. (author), van Gisbergen, Bart (author), Redig, F.H.J. (author)We study a model of active particles that perform a simple random walk and on top of that have a preferred direction determined by an internal state which is modelled by a stationary Markov process. First we calculate the limiting diffusion coefficient. Then we show that the ‘active part’ of the diffusion coefficient is in some sense maximal...journal article 2021
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Kraaij, R.C. (author), Redig, F.H.J. (author), VAN ZUIJLEN, WILLEM B. (author)We study the loss, recovery, and preservation of differentiability of timedependent large deviation rate functions. This study is motivated by meanfield GibbsnonGibbs transitions. The gradient of the ratefunction evolves according to a Hamiltonian flow. This Hamiltonian flow is used to analyze the regularity of the timedependent rate...journal article 2021
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Ayala Valenzuela, M.A. (author), Carinci, G. (author), Redig, F.H.J. (author)We study the symmetric inclusion process (SIP) in the condensation regime. We obtain an explicit scaling for the variance of the density field in this regime, when initially started from a homogeneous product measure. This provides relevant new information on the coarsening dynamics of condensing interacting particle systems on the infinite...journal article 2021
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Floreani, S. (author), Redig, F.H.J. (author), Sau, Federico (author)In this paper, we introduce a random environment for the exclusion process in Z<sup>d</sup> obtained by assigning a maximal occupancy to each site. This maximal occupancy is allowed to randomly vary among sites, and partial exclusion occurs. Under the assumption of ergodicity under translation and uniform ellipticity of the environment, we...journal article 2021
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Ayala Valenzuela, M.A. (author), Carinci, G. (author), Redig, F.H.J. (author)Inspired by the works in [2] and [11] we introduce what we call kthorder fluctuation fields and study their scaling limits. This construction is done in the context of particle systems with the property of orthogonal selfduality. This type of duality provides us with a setting in which we are able to interpret these fields as some type of...journal article 2021
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Carinci, G. (author), Giardina', C. (author), Redig, F.H.J. (author)We consider two particles performing continuoustime nearest neighbor random walk on Z and interacting with each other when they are at neighboring positions. The interaction is either repulsive (partial exclusion process) or attractive (inclusion process). We provide an exact formula for the LaplaceFourier transform of the transition...journal article 2020
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Redig, F.H.J. (author), Saada, Ellen (author), Sau, Federico (author)We consider the symmetric simple exclusion process in Z<sup>d</sup> with quenched bounded dynamic random conductances and prove its hydrodynamic limit in path space. The main tool is the connection, due to the selfduality of the process, between the invariance principle for single particles starting from all points and the macroscopic...journal article 2020
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Chazottes, J.R. (author), Moles, J. (author), Redig, F.H.J. (author), Ugalde, E. (author)We consider equilibrium states (that is, shiftinvariant Gibbs measures) on the configuration space SZd where d≥ 1 and S is a finite set. We prove that if an equilibrium state for a shiftinvariant uniformly summable potential satisfies a Gaussian concentration bound, then it is unique. Equivalently, if there exist several equilibrium states...journal article 2020
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Groenevelt, W.G.M. (author), Giardina', C. (author), Redig, F.H.J. (author), Carinci, G. (author)We study selfduality for interacting particle systems, where the particles move as continuous time random walkers having either exclusion interaction or inclusion interaction. We show that orthogonal selfdualities arise from unitary symmetries of the Markov generator. For these symmetries we provide two equivalent expressions that are related...journal article 2019
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Kraaij, R.C. (author), Redig, F.H.J. (author), Versendaal, R. (author)We generalize classical large deviation theorems to the setting of complete, smooth Riemannian manifolds. We prove the analogue of Mogulskii's theorem for geodesic random walks via a general approach using viscosity solutions for Hamilton–Jacobi equations. As a corollary, we also obtain the analogue of Cramér's theorem. The approach also...journal article 2019
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van Ginkel, G.J. (author), Redig, F.H.J. (author)We consider the symmetric exclusion process on suitable random grids that approximate a compact Riemannian manifold. We prove that a class of random walks on these random grids converge to Brownian motion on the manifold. We then consider the empirical density field of the symmetric exclusion process and prove that it converges to the...journal article 2019
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Ayala Valenzuela, M.A. (author), Carinci, G. (author), Redig, F.H.J. (author)We study fluctuation fields of orthogonal polynomials in the context of particle systems with duality. We thereby obtain a systematic orthogonal decomposition of the fluctuation fields of local functions, where the order of every term can be quantified. This implies a quantitative generalization of the Boltzmann–Gibbs principle. In the...journal article 2018
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Redig, F.H.J. (author), Sau, F. (author)We find all selfduality functions of the form (Formula presented.)for a class of interacting particle systems. We call these duality functions of simple factorized form. The functions we recover are selfduality functions for interacting particle systems such as zerorange processes, symmetric inclusion and exclusion processes, as well as...journal article 2018
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Redig, F.H.J. (author), Ruszel, W.M. (author), Saada, Ellen (author)We prove that the Abelian sandpile model on a random binary and binomial tree, as introduced in Redig, Ruszel, and Saada [J. Stat. Phys. 147, 653677 (2012)], is not critical for all branching probabilities p < 1; by estimating the tail of the annealed survival time of a random walk on the binary tree with randomly placed traps, we obtain...journal article 2018
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Carinci, G. (author), Giardina, C. (author), Redig, F.H.J. (author), Sasamoto, T. (author)By using the algebraic construction outlined in Carinci et al. (arXiv:?1407.?3367, 2014), we introduce several Markov processes related to the Uq(su(1,1)) quantum Lie algebra. These processes serve as asymmetric transport models and their algebraic structure easily allows to deduce duality properties of the systems. The results include: (a) the...journal article 2016
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Van Ginkel, B. (author), Redig, F.H.J. (author), Sau, F. (author)We study the “Immediate Exchange Model”, a wealth distribution model introduced in Heinsalu and Patriarca (Eur Phys J B 87:170, 2014). We prove that the model has a discrete dual, where the duality functions are natural polynomials associated to the Gamma distribution with shape parameter 2 and are exactly those connecting the Brownian Energy...journal article 2016
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