502 research outputs found
Non-equilibrium Fluctuations of the Weakly Asymmetric Normalized Binary Contact Path Process
No full textInternational audienceThis paper is a further investigation of the problem studied in [Xue & Zhao, Stochastic processes and their applications, 2020], where the authors proved a law of large numbers for the empirical measure of the weakly asymmetric normalized binary contact path process on Zd , d ≥ 3, and then conjectured that a central limit theorem should hold under a non-equilibrium initial condition. We prove that the aforesaid conjecture is true when the dimension d of the underlying lattice and the infection rate λ of the process are sufficiently large
Long-time behavior of SSEP with slow boundary
No full textInternational audienceWe consider the symmetric simple exclusion process with slow boundary first introduced in [Baldasso et al., Journal of Statistical Physics, 167(5), 2017]. We prove a law of large number for the empirical measure of the process under a longer time scaling instead of the usual diffusive time scaling
Promalactis serrata , Du, Li & Wang 2011
No full textPromalactis serrata Du, Li & Wang, 2011 (Figs. 8, 19) Promalactis serrata Du, Li & Wang, 2011, Zootaxa, 3044: 60. TL: China (Hainan). Material examined. CHINA, Hainan Island: 3♂, 1♀, Jianfengling Nature Reserves, 770 m, 15–17.VII.2014, coll. Peixin Cong, Linjie Liu & Sha Hu, slide Nos. HS 14037 ♂, HS14114 ♀, HS14116 ♂; 4♂, Jianfengling Nature Reserves, 770 m, 3.VI.2014, coll. Peixin Cong, Wei Guan & Sha Hu, slide No. HS 15193 ♂; 1♀, Wuzhishan Nature Reserves, 710 m, 21.IV.2014, coll. Tengteng Liu, Wei Guan & Sha Hu, slide No. HS 14117 ♀; 1♀, Limushan Forest Park (19.17°N, 109.73°E), 607 m, 25.VII.2014, coll. Peixin Cong, Linjie Liu & Sha Hu, slide No. HS 14121 ♀; 1♂, Baisha County, 460 m, 1.VII.2014, coll. Peixin Cong, Linjie Liu & Sha Hu, slide No. HS 14097 ♂; 1♀, Hongkan, Yinggeling, 540 m, 15.VIII.2016, coll. Qingyun Wang, Suran Li & Shengnan Zhao, slide No. HS 16026 ♀; 1♀, Wushan Nature Reserves, 742 m, 18.V.2015, coll. Peixin Cong, Sha Hu & Wei Guan, slide No. HS 15227 ♀; 1♀, Wuzhishan National Park, 766m, 11.I.2016, slide No. HS 16022 ♀. Description of female genitalia (Fig. 19): Apophyses anteriores about 3/5 length of apophyses posteriores. Lamella antevaginalis large triangular, with slender longitudinal carinae near lateral side distally; lamella postvaginalis quadrate in basal half, elliptic in distal half. Antrum funneled, heavily sclerotized. Ductus bursae membranous for short distance near antrum and towards corpus bursae distally, remaining part heavily sclerotized, curved, with stout spines in basal half. Corpus bursae sub-rounded; signum absent. Distribution. China (Hainan). Note. The female of this species is described for the first time.Published as part of Hu, Sha & Wang, Shuxia, 2017, Taxonomic study of the genus Promalactis Meyrick (Lepidoptera, Oecophoridae) from Hainan Island, China (III), pp. 590-600 in Zootaxa 4303 (4) on pages 597-598, DOI: 10.11646/zootaxa.4303.4.9, http://zenodo.org/record/84158
Moderate deviation principles for the WASEP
No full textWe study the weakly asymmetric simple exclusion process on the integer
lattice. Under suitable constraints on the strength of the weak asymmetry of
the dynamics, we prove moderate deviation principles for the fluctuation fields
when the process starts from stationary measures. As an application, we obtain
sample path moderate deviation principles for the occupation time of the
process in one dimension
Equilibrium Perturbations for Asymmetric Zero Range Process under Diffusive Scaling in Dimensions
No full textWe consider the asymmetric zero range process in dimensions .
Assume the initial density profile is a perturbation of the constant density,
which has order , , and is constant along the
drift direction. Here, is the scaling parameter. We show that under some
constraints on the jump rate of the zero range process, the perturbed quantity
macroscopically obeys the heat equation under diffusive scaling
Moderate deviations for the current and tagged particle in symmetric simple exclusion processes
No full textWe prove moderate deviation principles for the tagged particle position and current in one dimensional symmetric simple exclusion processes. There is at most one particle per site. A particle jumps to one of its two neighbors at rate 1/2, and the jump is suppressed if there is already one at the target site. We distinguish one particular particle which is called the tagged particle. We first establish a variational formula for the moderate deviation rate functions of the tagged particle positions based on moderate deviation principles from hydrodynamic limit proved by Gao and Quastel [6]. Then we construct a minimizer of the variational formula and obtain explicit expressions for the moderate deviation rate functions
EQUILIBRIUM PERTURBATIONS FOR STOCHASTIC INTERACTING SYSTEMS
No full textWe consider the equilibrium perturbations for two stochastic systems: the d-dimensional generalized exclusion process and the one-dimensional chain of anharmonic oscillators. We add a perturbation of order N −α to the equilibrium profile, and speed up the process by N 1+κ for parameters 0 < κ ≤ α. Under some additional constraints on κ and α, we show the perturbed quantities evolve according to the Burgers equation in the exclusion process, and to two decoupled Burgers equations in the anharmonic chain, both in the smooth regime
Stationary fluctuations for the facilitated exclusion process
No full text38pagesInternational audienceWe derive the stationary fluctuations for the Facilitated Exclusion Process (FEP) in one dimension in the symmetric, weakly asymmetric and asymmetric cases. Our proof relies on the mapping between the FEP and the zero-range process, and extends the strategy in \cite{erignoux2022mapping}, where hydrodynamic limits were derived for the FEP, to its stationary fluctuations. Our results thus exploit works on the zero-range process's fluctuations \cite{gonccalves2010equilibrium,gonccalves2015stochastic}, but we also provide a direct proof in the symmetric case, for which we derive a sharp estimate on the equivalence of ensembles for the FEP's stationary states
Moderate Deviations for the SSEP with a Slow Bond
No full textInternational audienceWe consider the one dimensional symmetric simple exclusion process with a slow bond. In this model, particles cross each bond at rate N^2 , except one particular bond, the slow bond, where the rate is N. Above, N is the scaling parameter. This model has been considered in the context of hydrodynamic limits, fluctuations and large deviations. We investigate moderate deviations from hydrodynamics and obtain a moderate deviation principle
Stationary fluctuations for the facilitated exclusion process
No full textWe derive the stationary fluctuations for the Facilitated Exclusion Process
(FEP) in one dimension in the symmetric, weakly asymmetric and asymmetric
cases. Our proof relies on the mapping between the FEP and the zero-range
process, and extends the strategy in \cite{erignoux2022mapping}, where
hydrodynamic limits were derived for the FEP, to its stationary fluctuations.
Our results thus exploit works on the zero-range process's fluctuations
\cite{gonccalves2010equilibrium,gonccalves2015stochastic}, but we also provide
a direct proof in the symmetric case, for which we derive a sharp estimate on
the equivalence of ensembles for the FEP's stationary states.Comment: 38page
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