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For: Meerschaert MM, Wang W, Xiao Y. Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields. Trans Am Math Soc 2012;2013:1081-1107. [PMID: 24825922 PMCID: PMC4016971 DOI: 10.1090/s0002-9947-2012-05678-9] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Number Cited by Other Article(s)
1
Hinojosa-Calleja A. Exact uniform modulus of continuity for q-isotropic Gaussian random fields. Stat Probab Lett 2023. [DOI: 10.1016/j.spl.2023.109813] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 03/02/2023]
2
Strong Local Nondeterminism and Exact Modulus of Continuity for Isotropic Gaussian Random Fields on Compact Two-Point Homogeneous Spaces. J THEOR PROBAB 2023. [DOI: 10.1007/s10959-022-01231-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
3
Wang Y, Wu F, Yin G, Zhu C. Stochastic functional differential equations with infinite delay under non-Lipschitz coefficients: Existence and uniqueness, Markov property, ergodicity, and asymptotic log-Harnack inequality. Stoch Process Their Appl 2022. [DOI: 10.1016/j.spa.2022.03.008] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
4
Exact Uniform Modulus of Continuity and Chung’s LIL for the Generalized Fractional Brownian Motion. J THEOR PROBAB 2022. [DOI: 10.1007/s10959-021-01148-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
5
Temporal Moduli of Non-Differentiability for Linearized Kuramoto–Sivashinsky SPDEs and Their Gradient. Symmetry (Basel) 2021. [DOI: 10.3390/sym13071306] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]  Open
6
Spatial Moduli of Non-Differentiability for Linearized Kuramoto–Sivashinsky SPDEs and Their Gradient. Symmetry (Basel) 2021. [DOI: 10.3390/sym13071251] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]  Open
7
Spatial Moduli of Non-Differentiability for Time-Fractional SPIDEs and Their Gradient. Symmetry (Basel) 2021. [DOI: 10.3390/sym13030380] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]  Open
8
Wang W, Su Z, Xiao Y. The moduli of non-differentiability for Gaussian random fields with stationary increments. BERNOULLI 2020. [DOI: 10.3150/19-bej1162] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
9
Shen Y, Wang Y. Operator-scaling Gaussian random fields via aggregation. BERNOULLI 2020. [DOI: 10.3150/19-bej1133] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
10
Wang W, Xiao Y. The Csörgő–Révész moduli of non-differentiability of fractional Brownian motion. Stat Probab Lett 2019. [DOI: 10.1016/j.spl.2019.02.016] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
11
Lee CY, Xiao Y. Local nondeterminism and the exact modulus of continuity for stochastic wave equation. ELECTRONIC COMMUNICATIONS IN PROBABILITY 2019. [DOI: 10.1214/19-ecp264] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
12
Strong local nondeterminism and exact modulus of continuity for spherical Gaussian fields. Stoch Process Their Appl 2018. [DOI: 10.1016/j.spa.2017.07.008] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
13
Tudor CA, Xiao Y. Sample paths of the solution to the fractional-colored stochastic heat equation. STOCH DYNAM 2016. [DOI: 10.1142/s0219493717500046] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
14
Stationary Increments Harmonizable Stable Fields: Upper Estimates on Path Behaviour. J THEOR PROBAB 2016. [DOI: 10.1007/s10959-016-0698-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
15
Some Singular Sample Path Properties of a Multiparameter Fractional Brownian Motion. J THEOR PROBAB 2016. [DOI: 10.1007/s10959-016-0694-4] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
16
Li Y, Wang W, Xiao Y. Exact moduli of continuity for operator-scaling Gaussian random fields. BERNOULLI 2015. [DOI: 10.3150/13-bej593] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
17
Hashorva E, Ji L. Extremes and First Passage Times of Correlated Fractional Brownian Motions. STOCH MODELS 2014. [DOI: 10.1080/15326349.2014.903159] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
18
A multiparameter Garsia–Rodemich–Rumsey inequality and some applications. Stoch Process Their Appl 2013. [DOI: 10.1016/j.spa.2013.04.019] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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