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(2)
Level Set
Local Time
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(3)
On tail probability of local times of Gaussian processes
Local times of additive Lévy processes
The Geometry of Random Fields
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H?older conditions for the local times and the Hausdorfi measure of the level sets of Gaussian random ˉeld
H?older conditions for the local times and the Hausdorfi measure of the level sets of Gaussian random ˉeld,Y. Xiao
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H?older conditions for the local times and the Hausdorfi measure of the level sets of Gaussian random ˉeld
(
Citations: 20
)
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Y. Xiao
Published in 1997.
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Citation Context
(4)
...See Adler [1], Kahane [5], Monrad and Pitt [10], Pitt [11], Rosen [12], Talagrand [13], Xiao [
17
] [18], just to mention a few...
Dong Sheng Wu
.
Dimensional Properties of Fractional Brownian Motion
...See, for example, Kasahara et al. [16], Talagrand [25] [26], Xiao [28] [
29
] [30] and so on. With the help of Lemmas 2.1 and 2.2, Xiao [31] has shown that, under the condition (2.8), it is more convenient to use `(r) to investigate the sample path properties of Gaussian random flelds and thus the regularly varying assumption on æ2(h) can be signiflcantly weakened and the monotonicity assumption on æ2(h) can be...
NarnRueih Shieh
,
et al.
Images of Gaussian random fields: Salem sets and interior points
...Indeed, one can quote, for example, Yimin Xiao’s result in [
19
], which implies that in the case of fBm for some constant K, a.s...
...result which states that in the fBm case in [
19
], almost surely, for all t and all small r...
Oana Mocioalca
,
et al.
Skorohod integration and stochastic calculus beyond the fractional Bro...
...The conjecture followed the result of Xiao [
14
], as observed in [5], that m`(ft : X(t) = 0g\I) > 0 a.s...
...Remark 1.2 It follows from [
14
], that the constant c is necessarily strictly positive...
Thomas S. Mountford
,
et al.
Level Sets of Multiparameter Brownian Motions
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Citations
(20)
Continuity in the Hurst index of the local times of anisotropic Gaussian random fields
Dongsheng Wu
,
Yimin Xiao
Journal:
Stochastic Processes and Their Applications  STOCH PROC APPL
, vol. 119, no. 6, pp. 18231844, 2009
Joint continuity of the local times of fractional Brownian sheets
(
Citations: 18
)
Antoine Ayache
,
Dongsheng Wu
,
Yimin Xiao
Journal:
Annales De L Institut Henri Poincareprobabilites Et Statistiques  ANN INST HENRI POINCAREPROB
, vol. 44, no. 4, pp. 727748, 2008
Local times of multifractional Brownian sheets
(
Citations: 1
)
Mark Meerschaert
,
Dongsheng Wu
,
Yimin Xiao
Journal:
Bernoulli
, vol. 14, no. 3, pp. 865898, 2008
Sample path properties of bifractional Brownian motion
(
Citations: 12
)
Ciprian A. Tudor
,
Yimin Xiao
Journal:
Bernoulli
, vol. 13, no. 2007, pp. 10231052, 2007
Dimensional Properties of Fractional Brownian Motion
(
Citations: 1
)
Dong Sheng Wu
Journal:
Acta Mathematica Sinicaenglish Series  ACTA MATH SINENGLISH SERIES
, vol. 23, no. 4, pp. 613622, 2007