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For: Grebenkov DS. Time-averaged quadratic functionals of a Gaussian process. Phys Rev E Stat Nonlin Soft Matter Phys 2011;83:061117. [PMID: 21797312 DOI: 10.1103/physreve.83.061117] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/16/2011] [Indexed: 05/31/2023]
Number Cited by Other Article(s)
1
Maraj K, Szarek D, Sikora G, Wyłomańska A. Time-averaged mean squared displacement ratio test for Gaussian processes with unknown diffusion coefficient. CHAOS (WOODBURY, N.Y.) 2021;31:073120. [PMID: 34340341 DOI: 10.1063/5.0054119] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/14/2021] [Accepted: 06/23/2021] [Indexed: 06/13/2023]
2
Gajda J, Wyłomańska A, Kantz H, Chechkin A, Sikora G. Large deviations of time-averaged statistics for Gaussian processes. Stat Probab Lett 2018. [DOI: 10.1016/j.spl.2018.07.013] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
3
Zhang K, Crizer KPR, Schoenfisch MH, Hill DB, Didier G. Fluid heterogeneity detection based on the asymptotic distribution of the time-averaged mean squared displacement in single particle tracking experiments. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL 2018;51:445601. [PMID: 31037119 PMCID: PMC6486181 DOI: 10.1088/1751-8121/aae0af] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
4
Cherstvy AG, Thapa S, Mardoukhi Y, Chechkin AV, Metzler R. Time averages and their statistical variation for the Ornstein-Uhlenbeck process: Role of initial particle distributions and relaxation to stationarity. Phys Rev E 2018;98:022134. [PMID: 30253569 DOI: 10.1103/physreve.98.022134] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/25/2018] [Indexed: 06/08/2023]
5
Lanoiselée Y, Grebenkov DS. Unraveling intermittent features in single-particle trajectories by a local convex hull method. Phys Rev E 2017;96:022144. [PMID: 28950648 DOI: 10.1103/physreve.96.022144] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/06/2017] [Indexed: 01/01/2023]
6
Bénichou O, Krapivsky PL, Mejía-Monasterio C, Oshanin G. Temporal Correlations of the Running Maximum of a Brownian Trajectory. PHYSICAL REVIEW LETTERS 2016;117:080601. [PMID: 27588841 DOI: 10.1103/physrevlett.117.080601] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/22/2016] [Indexed: 06/06/2023]
7
Grebenkov DS, Vahabi M. Analytical solution of the generalized Langevin equation with hydrodynamic interactions: subdiffusion of heavy tracers. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014;89:012130. [PMID: 24580195 DOI: 10.1103/physreve.89.012130] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/07/2013] [Indexed: 06/03/2023]
8
Gupta S, Rosso A, Texier C. Dynamics of a tagged monomer: effects of elastic pinning and harmonic absorption. PHYSICAL REVIEW LETTERS 2013;111:210601. [PMID: 24313470 DOI: 10.1103/physrevlett.111.210601] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/01/2013] [Indexed: 06/02/2023]
9
Grebenkov DS, Vahabi M, Bertseva E, Forró L, Jeney S. Hydrodynamic and subdiffusive motion of tracers in a viscoelastic medium. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013;88:040701. [PMID: 24229100 DOI: 10.1103/physreve.88.040701] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/15/2013] [Revised: 07/25/2013] [Indexed: 06/02/2023]
10
Grebenkov DS. Optimal and suboptimal quadratic forms for noncentered Gaussian processes. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013;88:032140. [PMID: 24125246 DOI: 10.1103/physreve.88.032140] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/30/2013] [Revised: 09/06/2013] [Indexed: 06/02/2023]
11
Bertseva E, Grebenkov D, Schmidhauser P, Gribkova S, Jeney S, Forró L. Optical trapping microrheology in cultured human cells. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2012;35:63. [PMID: 22821510 DOI: 10.1140/epje/i2012-12063-4] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/18/2011] [Revised: 11/08/2011] [Accepted: 06/20/2012] [Indexed: 05/26/2023]
12
Grebenkov DS. Probability distribution of the time-averaged mean-square displacement of a Gaussian process. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011;84:031124. [PMID: 22060345 DOI: 10.1103/physreve.84.031124] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/19/2011] [Indexed: 05/31/2023]
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