2007
DOI: 10.1016/j.spa.2006.10.005
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A limit theorem for quadratic fluctuations in symmetric simple exclusion

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Cited by 10 publications
(31 citation statements)
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“…This theorem was first proved in [2]. In Section 5.3 we will present a different proof of this theorem, based on the so-called energy condition introduced in [17].…”
Section: Theorem 22 There Exists a Processmentioning
confidence: 99%
See 2 more Smart Citations
“…This theorem was first proved in [2]. In Section 5.3 we will present a different proof of this theorem, based on the so-called energy condition introduced in [17].…”
Section: Theorem 22 There Exists a Processmentioning
confidence: 99%
“…In [2] a quadratic field associated to the Ornstein-Uhlenbeck process was introduced. It was also proved that the scaling limit of certain extensive additive functionals of the symmetric simple exclusion process is given by this quadratic field.…”
Section: Introductionmentioning
confidence: 99%
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“…Notice that v t N + Z N t is a positive random variable since it corresponds to the number of holes in the interval [1 …”
Section: Dependence On the Initial Configurationmentioning
confidence: 99%
“…We start by showing condition (1). For each integer z ≥ 0, recall that h z denotes the Hermite function defined at the beginning of the …”
Section: Tightnessmentioning
confidence: 99%