Xu, Ling; Liu, Runjie; Bai, Xue Random exponential attractor for stochastic non-autonomous suspension bridge equation with linear multiplicative white noise. (English) Zbl 07808683 J. Math. Res. Appl. 44, No. 1, 81-112 (2024). MSC: 60H15 35Q35 35B40 PDFBibTeX XMLCite \textit{L. Xu} et al., J. Math. Res. Appl. 44, No. 1, 81--112 (2024; Zbl 07808683) Full Text: DOI
Hu, Wenjie; Caraballo, Tomás Pullback exponential attractors with explicit fractal dimensions for non-autonomous partial functional differential equations. (English) Zbl 07797095 J. Nonlinear Sci. 34, No. 1, Paper No. 27, 36 p. (2024). MSC: 37L25 37L30 37L55 37B55 60H15 35R60 PDFBibTeX XMLCite \textit{W. Hu} and \textit{T. Caraballo}, J. Nonlinear Sci. 34, No. 1, Paper No. 27, 36 p. (2024; Zbl 07797095) Full Text: DOI
Feng, De-Jun; Lo, Chiu-Hong; Ma, Cai-Yun Dimensions of projected sets and measures on typical self-affine sets. (English) Zbl 07741087 Adv. Math. 431, Article ID 109237, 62 p. (2023). MSC: 28A80 37C45 31A15 49Q15 60B05 PDFBibTeX XMLCite \textit{D.-J. Feng} et al., Adv. Math. 431, Article ID 109237, 62 p. (2023; Zbl 07741087) Full Text: DOI arXiv
Da, Nguyen Tien; Van Loi, Do On the random attractor for stochastic 2D hydrodynamical type equations with additive white noise. (English) Zbl 1524.60142 Stochastics 95, No. 3, 356-376 (2023). MSC: 60H15 28A78 28A80 PDFBibTeX XMLCite \textit{N. T. Da} and \textit{D. Van Loi}, Stochastics 95, No. 3, 356--376 (2023; Zbl 1524.60142) Full Text: DOI
Jetti, Yaswanth Sai; Porcu, Emilio; Ostoja-Starzewski, Martin New decouplers of fractal dimension and Hurst effects. (English) Zbl 1515.60155 Z. Angew. Math. Phys. 74, No. 3, Paper No. 123, 12 p. (2023). MSC: 60G60 62P35 PDFBibTeX XMLCite \textit{Y. S. Jetti} et al., Z. Angew. Math. Phys. 74, No. 3, Paper No. 123, 12 p. (2023; Zbl 1515.60155) Full Text: DOI
Yi, Jaeyun Macroscopic multi-fractality of Gaussian random fields and linear stochastic partial differential equations with colored noise. (English) Zbl 1518.60063 J. Theor. Probab. 36, No. 2, 926-947 (2023). Reviewer: Udhayakumar Ramalingam (Vellore) MSC: 60H15 60G15 60K37 35R60 60H40 PDFBibTeX XMLCite \textit{J. Yi}, J. Theor. Probab. 36, No. 2, 926--947 (2023; Zbl 1518.60063) Full Text: DOI
Hambly, Ben; Koepernik, Peter Dimension results and local times for superdiffusions on fractals. (English) Zbl 1509.60147 Stochastic Processes Appl. 158, 377-417 (2023). MSC: 60J68 60J60 60J55 28A78 PDFBibTeX XMLCite \textit{B. Hambly} and \textit{P. Koepernik}, Stochastic Processes Appl. 158, 377--417 (2023; Zbl 1509.60147) Full Text: DOI
Grigor’yan, Alexander Analysis on fractal spaces and heat kernels. (English) Zbl 1497.60104 Chen, Zhen-Qing (ed.) et al., Dirichlet forms and related topics, in honor of Masatoshi Fukushima’s beiju, IWDFRT 2022, Osaka, Japan, August 22–26,2022. Singapore: Springer. Springer Proc. Math. Stat. 394, 143-159 (2022). MSC: 60J35 60J65 28A80 35K08 60J60 PDFBibTeX XMLCite \textit{A. Grigor'yan}, Springer Proc. Math. Stat. 394, 143--159 (2022; Zbl 1497.60104) Full Text: DOI
Dayan, Yiftach Random fractals and their intersection with winning sets. (English) Zbl 1510.28007 Math. Proc. Camb. Philos. Soc. 172, No. 3, 655-684 (2022). Reviewer: Jörg Neunhäuserer (Goslar) MSC: 28A80 60J80 60D05 11K60 37C45 05C80 PDFBibTeX XMLCite \textit{Y. Dayan}, Math. Proc. Camb. Philos. Soc. 172, No. 3, 655--684 (2022; Zbl 1510.28007) Full Text: DOI
Shu, Ji; Bai, Qianqian; Huang, Xin; Zhang, Jian Finite fractal dimension of random attractors for non-autonomous fractional stochastic reaction-diffusion equations in \(\mathbb{R}\). (English) Zbl 1497.37098 Appl. Anal. 101, No. 6, 2217-2238 (2022). MSC: 37L55 37L30 35R11 35R60 35Q56 35K57 60H15 26A33 PDFBibTeX XMLCite \textit{J. Shu} et al., Appl. Anal. 101, No. 6, 2217--2238 (2022; Zbl 1497.37098) Full Text: DOI
Falconer, Kenneth J. Intermediate dimension of images of sequences under fractional Brownian motion. (English) Zbl 1478.60124 Stat. Probab. Lett. 182, Article ID 109300, 6 p. (2022). MSC: 60G22 60G15 PDFBibTeX XMLCite \textit{K. J. Falconer}, Stat. Probab. Lett. 182, Article ID 109300, 6 p. (2022; Zbl 1478.60124) Full Text: DOI arXiv
Cui, Hongyong; Cunha, Arthur C.; Langa, José A. Finite-dimensionality of tempered random uniform attractors. (English) Zbl 1487.37091 J. Nonlinear Sci. 32, No. 1, Paper No. 13, 55 p. (2022). Reviewer: Joseph Shomberg (Providence) MSC: 37L55 37L30 37H30 35K57 60H15 28A80 28A78 PDFBibTeX XMLCite \textit{H. Cui} et al., J. Nonlinear Sci. 32, No. 1, Paper No. 13, 55 p. (2022; Zbl 1487.37091) Full Text: DOI
Borbás, Edit; Márkus, László; Darougi, Amina; Kovács, József Characterization of karstic aquifer complexity using fractal dimensions. (English) Zbl 1478.86015 GEM. Int. J. Geomath. 12, Paper No. 4, 28 p. (2021). MSC: 86A32 62M10 60G60 28A75 PDFBibTeX XMLCite \textit{E. Borbás} et al., GEM. Int. J. Geomath. 12, Paper No. 4, 28 p. (2021; Zbl 1478.86015) Full Text: DOI
Ferri, Giulia; Humbert, Severine; Digne, Mathieu; Schweitzer, Jean-Marc; Moreaud, Maxime Simulation of large aggregate particles system with a new morphological model maxime. (English) Zbl 1489.82079 Image Anal. Stereol. 40, No. 2, 71-84 (2021). MSC: 82D20 60J65 28A80 PDFBibTeX XMLCite \textit{G. Ferri} et al., Image Anal. Stereol. 40, No. 2, 71--84 (2021; Zbl 1489.82079) Full Text: Link
Otsuka, Takafumi A multi-parameter family of self-avoiding walks on the Sierpiński gasket. (English) Zbl 1472.60080 Tokyo J. Math. 44, No. 1, 251-283 (2021). MSC: 60G50 60F17 28A80 37F25 37F35 60G17 PDFBibTeX XMLCite \textit{T. Otsuka}, Tokyo J. Math. 44, No. 1, 251--283 (2021; Zbl 1472.60080) Full Text: DOI
Kuehn, Christian; Neamţu, Alexandra; Sonner, Stefanie Random attractors via pathwise mild solutions for stochastic parabolic evolution equations. (English) Zbl 1470.60185 J. Evol. Equ. 21, No. 2, 2631-2663 (2021). MSC: 60H15 37H05 37L55 PDFBibTeX XMLCite \textit{C. Kuehn} et al., J. Evol. Equ. 21, No. 2, 2631--2663 (2021; Zbl 1470.60185) Full Text: DOI arXiv
Broutin, Nicolas; Sulzbach, Henning Self-similar real trees defined as fixed points and their geometric properties. (English) Zbl 1468.05031 Electron. J. Probab. 26, Paper No. 88, 50 p. (2021). MSC: 05C05 60C05 60F17 PDFBibTeX XMLCite \textit{N. Broutin} and \textit{H. Sulzbach}, Electron. J. Probab. 26, Paper No. 88, 50 p. (2021; Zbl 1468.05031) Full Text: DOI arXiv
Heydenreich, Markus Fractal dimension of discrete sets and percolation. (English) Zbl 1462.28008 Freiberg, Uta (ed.) et al., Fractal geometry and stochastics VI. Selected papers of the 6th conference, Bad Herrenalb, Germany, September 30 – October 6, 2018. Cham: Birkhäuser. Prog. Probab. 76, 101-124 (2021). MSC: 28A80 60K35 82B43 PDFBibTeX XMLCite \textit{M. Heydenreich}, Prog. Probab. 76, 101--124 (2021; Zbl 1462.28008) Full Text: DOI arXiv
Schweinhart, Benjamin Persistent homology and the upper box dimension. (English) Zbl 1471.55008 Discrete Comput. Geom. 65, No. 2, 331-364 (2021). Reviewer: Elizabeth Munch (East Lansing) MSC: 55N31 28A80 05D99 62R40 62R20 60B05 37F35 PDFBibTeX XMLCite \textit{B. Schweinhart}, Discrete Comput. Geom. 65, No. 2, 331--364 (2021; Zbl 1471.55008) Full Text: DOI arXiv
Sibut-Bourde, Pierre Random Cantor sets. (Ensembles de Cantor aléatoires.) (French) Zbl 1498.60053 Quadrature 117, 23-27 (2020). Reviewer: Antoine Julia (Paris) MSC: 60D05 28A78 28A80 60J80 PDFBibTeX XMLCite \textit{P. Sibut-Bourde}, Quadrature 117, 23--27 (2020; Zbl 1498.60053)
Li, Ming Multi-fractional generalized Cauchy process and its application to teletraffic. (English) Zbl 07526328 Physica A 550, Article ID 123982, 14 p. (2020). MSC: 82-XX 28A80 60G15 60G18 62M10 60K30 60E07 PDFBibTeX XMLCite \textit{M. Li}, Physica A 550, Article ID 123982, 14 p. (2020; Zbl 07526328) Full Text: DOI
Chai, Ruishuai Fractal dimension of fractional Brownian motion based on random sets. (English) Zbl 1487.60082 Fractals 28, No. 8, Article ID 2040020, 11 p. (2020). MSC: 60G22 28A80 PDFBibTeX XMLCite \textit{R. Chai}, Fractals 28, No. 8, Article ID 2040020, 11 p. (2020; Zbl 1487.60082) Full Text: DOI
Zhao, Wei; Mao, Zhibin; Tao, Xinya Application of fractal dimension of fractional Brownian motion to supply chain financing and operational comprehensive decision-making. (English) Zbl 1481.90039 Fractals 28, No. 8, Article ID 2040019, 13 p. (2020). MSC: 90B05 90B50 60G22 PDFBibTeX XMLCite \textit{W. Zhao} et al., Fractals 28, No. 8, Article ID 2040019, 13 p. (2020; Zbl 1481.90039) Full Text: DOI
Balankin, Alexander S. Fractional space approach to studies of physical phenomena on fractals and in confined low-dimensional systems. (English) Zbl 1434.28011 Chaos Solitons Fractals 132, Article ID 109572, 13 p. (2020). MSC: 28A80 60G50 PDFBibTeX XMLCite \textit{A. S. Balankin}, Chaos Solitons Fractals 132, Article ID 109572, 13 p. (2020; Zbl 1434.28011) Full Text: DOI
Tan, Xingni; Yin, Fuqi; Fan, Guihong Random exponential attractor for stochastic discrete long wave-short wave resonance equation with multiplicative white noise. (English) Zbl 1444.37062 Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 3153-3170 (2020). MSC: 37L55 37L30 35B40 35R60 60H15 PDFBibTeX XMLCite \textit{X. Tan} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 8, 3153--3170 (2020; Zbl 1444.37062) Full Text: DOI
Chang, Qingquan; Li, Dandan; Sun, Chunyou Random attractors for stochastic time-dependent damped wave equation with critical exponents. (English) Zbl 1454.37075 Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2793-2824 (2020). Reviewer: Stefanie Sonner (Nijmegen) MSC: 37L55 37L30 35R60 60H15 PDFBibTeX XMLCite \textit{Q. Chang} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 7, 2793--2824 (2020; Zbl 1454.37075) Full Text: DOI
Guo, Chun Xiao; Shu, Ji; Wang, Xiao Hu Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations. (English) Zbl 1440.37075 Acta Math. Sin., Engl. Ser. 36, No. 3, 318-336 (2020). MSC: 37L55 37L30 60H15 35Q56 35R60 PDFBibTeX XMLCite \textit{C. X. Guo} et al., Acta Math. Sin., Engl. Ser. 36, No. 3, 318--336 (2020; Zbl 1440.37075) Full Text: DOI
Barkley, Jerome; Budd, Timothy Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity. (English) Zbl 1478.83076 Classical Quantum Gravity 36, No. 24, Article ID 244001, 24 p. (2019). MSC: 83C45 83C80 60H25 28A80 65C05 11K55 PDFBibTeX XMLCite \textit{J. Barkley} and \textit{T. Budd}, Classical Quantum Gravity 36, No. 24, Article ID 244001, 24 p. (2019; Zbl 1478.83076) Full Text: DOI arXiv Link
Komjáthy, Júlia; Molontay, Roland; Simon, Károly Transfinite fractal dimension of trees and hierarchical scale-free graphs. (English) Zbl 1469.05157 J. Complex Netw. 7, No. 5, 764-791 (2019). MSC: 05C82 05C05 90B10 90B15 91D30 60J80 PDFBibTeX XMLCite \textit{J. Komjáthy} et al., J. Complex Netw. 7, No. 5, 764--791 (2019; Zbl 1469.05157) Full Text: DOI arXiv
Damron, Michael; Tang, Pengfei Superlinearity of geodesic length in 2D critical first-passage percolation. (English) Zbl 1446.82034 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. II. Brownian web and percolation, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 299, 101-122 (2019). MSC: 82B43 82B20 82B27 60D05 28A75 60K35 PDFBibTeX XMLCite \textit{M. Damron} and \textit{P. Tang}, Springer Proc. Math. Stat. 299, 101--122 (2019; Zbl 1446.82034) Full Text: DOI arXiv
Markitan, V. P.; Prats’ovytyi, M. V.; Savchenko, I. O. Superfractality of the set of incomplete sums of one positive series. (English. Ukrainian original) Zbl 1477.40002 Ukr. Math. J. 70, No. 10, 1619-1634 (2019); translation from Ukr. Mat. Zh. 70, No. 10, 1403-1416 (2018). Reviewer: Chryssoula Ganatsiou (Larissa) MSC: 40A05 28A80 60E05 PDFBibTeX XMLCite \textit{V. P. Markitan} et al., Ukr. Math. J. 70, No. 10, 1619--1634 (2019; Zbl 1477.40002); translation from Ukr. Mat. Zh. 70, No. 10, 1403--1416 (2018) Full Text: DOI
Howroyd, Douglas C.; Yu, Han Assouad dimension of random processes. (English) Zbl 1431.28011 Proc. Edinb. Math. Soc., II. Ser. 62, No. 1, 281-290 (2019). Reviewer: René L. Schilling (Dresden) MSC: 28A80 60J65 60G22 60H05 PDFBibTeX XMLCite \textit{D. C. Howroyd} and \textit{H. Yu}, Proc. Edinb. Math. Soc., II. Ser. 62, No. 1, 281--290 (2019; Zbl 1431.28011) Full Text: DOI arXiv
Barker, Adam Fractal-dimensional properties of subordinators. (English) Zbl 1478.60141 J. Theor. Probab. 32, No. 3, 1202-1219 (2019). MSC: 60G51 28A80 60F05 60F15 PDFBibTeX XMLCite \textit{A. Barker}, J. Theor. Probab. 32, No. 3, 1202--1219 (2019; Zbl 1478.60141) Full Text: DOI arXiv
Lan, Yun; Shu, Ji Fractal dimension of random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations with multiplicative noise. (English) Zbl 1415.37100 Dyn. Syst. 34, No. 2, 274-300 (2019). MSC: 37L55 37L30 60H15 35Q56 PDFBibTeX XMLCite \textit{Y. Lan} and \textit{J. Shu}, Dyn. Syst. 34, No. 2, 274--300 (2019; Zbl 1415.37100) Full Text: DOI
Yin, Fuqi; Li, Xueli Fractal dimensions of random attractors for stochastic Benjamin-Bona-Mahony equation on unbounded domains. (English) Zbl 1408.37137 Comput. Math. Appl. 75, No. 5, 1595-1615 (2018). MSC: 37L55 37H10 60H15 PDFBibTeX XMLCite \textit{F. Yin} and \textit{X. Li}, Comput. Math. Appl. 75, No. 5, 1595--1615 (2018; Zbl 1408.37137) Full Text: DOI
Shmerkin, Pablo; Suomala, Ville Spatially independent martingales, intersections, and applications. (English) Zbl 1435.60005 Memoirs of the American Mathematical Society 1195. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2688-0/print; 978-1-4704-4264-4/ebook). vi, 106 p. (2018). MSC: 60-02 60D05 28A75 28A78 28A80 42A38 60G46 60G57 PDFBibTeX XMLCite \textit{P. Shmerkin} and \textit{V. Suomala}, Spatially independent martingales, intersections, and applications. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1435.60005) Full Text: DOI arXiv Link
Kamenev, G. K. Method for constructing optimal dark coverings. (English. Russian original) Zbl 1490.60033 Comput. Math. Math. Phys. 58, No. 7, 1040-1048 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 7 (2018). MSC: 60D05 28A80 52C17 PDFBibTeX XMLCite \textit{G. K. Kamenev}, Comput. Math. Math. Phys. 58, No. 7, 1040--1048 (2018; Zbl 1490.60033); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 7 (2018) Full Text: DOI
Georgiou, Nicos; Khoshnevisan, Davar; Kim, Kunwoo; Ramos, Alex D. The dimension of the range of a transient random walk. (English) Zbl 1414.60028 Electron. J. Probab. 23, Paper No. 83, 31 p. (2018). MSC: 60G50 60J45 60J80 PDFBibTeX XMLCite \textit{N. Georgiou} et al., Electron. J. Probab. 23, Paper No. 83, 31 p. (2018; Zbl 1414.60028) Full Text: DOI arXiv Euclid
Balankin, Alexander S.; Golmankhaneh, Alireza K.; Patiño-Ortiz, Julián; Patiño-Ortiz, Miguel Noteworthy fractal features and transport properties of Cantor tartans. (English) Zbl 1396.28008 Phys. Lett., A 382, No. 23, 1534-1539 (2018). MSC: 28A80 60G18 80A20 76R50 PDFBibTeX XMLCite \textit{A. S. Balankin} et al., Phys. Lett., A 382, No. 23, 1534--1539 (2018; Zbl 1396.28008) Full Text: DOI
Wang, Zhaojuan; Zhou, Shengfan Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise. (English) Zbl 1426.37055 Discrete Contin. Dyn. Syst. 38, No. 9, 4767-4817 (2018). Reviewer: Anhui Gu (Chongqing) MSC: 37L55 37H10 35B41 35B40 35R60 35L30 60H15 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{S. Zhou}, Discrete Contin. Dyn. Syst. 38, No. 9, 4767--4817 (2018; Zbl 1426.37055) Full Text: DOI
Curien, Nicolas; Haas, Bénédicte Random trees constructed by aggregation. (Arbres aléatoires construits par agrégation.) (English. French summary) Zbl 1404.60020 Ann. Inst. Fourier 67, No. 5, 1963-2001 (2017). MSC: 60C05 28A80 05C05 60J80 PDFBibTeX XMLCite \textit{N. Curien} and \textit{B. Haas}, Ann. Inst. Fourier 67, No. 5, 1963--2001 (2017; Zbl 1404.60020) Full Text: DOI arXiv
Dlask, Martin; Kukal, Jaromir; Vysata, Oldrich Bayesian approach to Hurst exponent estimation. (English) Zbl 1390.60136 Methodol. Comput. Appl. Probab. 19, No. 3, 973-983 (2017). MSC: 60G15 62C10 PDFBibTeX XMLCite \textit{M. Dlask} et al., Methodol. Comput. Appl. Probab. 19, No. 3, 973--983 (2017; Zbl 1390.60136) Full Text: DOI
Balankin, Alexander S.; Mena, Baltasar; Martínez Cruz, M. A. Topological Hausdorff dimension and geodesic metric of critical percolation cluster in two dimensions. (English) Zbl 1375.82048 Phys. Lett., A 381, No. 33, 2665-2672 (2017). MSC: 82B43 60K35 37F35 PDFBibTeX XMLCite \textit{A. S. Balankin} et al., Phys. Lett., A 381, No. 33, 2665--2672 (2017; Zbl 1375.82048) Full Text: DOI
Chen, Chen-Yueh; Shafie, Khalil; Lin, Yen-Kuang Bayesian estimation of the Hurst parameter of fractional Brownian motion. (English) Zbl 1377.62090 Commun. Stat., Simulation Comput. 46, No. 6, 4760-4766 (2017). MSC: 62F15 60G22 62P05 PDFBibTeX XMLCite \textit{C.-Y. Chen} et al., Commun. Stat., Simulation Comput. 46, No. 6, 4760--4766 (2017; Zbl 1377.62090) Full Text: DOI
Evans, Steven; Pitman, Jim; Tang, Wenpin The spans in Brownian motion. (English. French summary) Zbl 1395.60100 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 3, 1108-1135 (2017). MSC: 60J65 28A78 PDFBibTeX XMLCite \textit{S. Evans} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 3, 1108--1135 (2017; Zbl 1395.60100) Full Text: DOI arXiv
Hikita, Harumi; Ishikawa, Hirohisa; Morigaki, Kazuo A fractal process of hydrogen diffusion in a-Si:H with exponential energy distribution. (English) Zbl 1362.60071 Int. J. Mod. Phys. B 31, No. 9, Article ID 1750060, 9 p. (2017). MSC: 60J70 60G22 60J60 28A80 PDFBibTeX XMLCite \textit{H. Hikita} et al., Int. J. Mod. Phys. B 31, No. 9, Article ID 1750060, 9 p. (2017; Zbl 1362.60071) Full Text: DOI
Zhou, Shengfan Random exponential attractor for cocycle and application to non-autonomous stochastic lattice systems with multiplicative white noise. (English) Zbl 1364.37158 J. Differ. Equations 263, No. 4, 2247-2279 (2017). MSC: 37L55 60H15 35B40 PDFBibTeX XMLCite \textit{S. Zhou}, J. Differ. Equations 263, No. 4, 2247--2279 (2017; Zbl 1364.37158) Full Text: DOI
Zhou, Shengfan; Tian, Yongxiao; Wang, Zhaojuan Fractal dimension of random attractors for stochastic non-autonomous reaction-diffusion equations. (English) Zbl 1410.37068 Appl. Math. Comput. 276, 80-95 (2016). MSC: 37L55 28A78 35B40 35B41 35R60 60H15 PDFBibTeX XMLCite \textit{S. Zhou} et al., Appl. Math. Comput. 276, 80--95 (2016; Zbl 1410.37068) Full Text: DOI
Zili, M. Mixed sub-fractional-White heat equation. (English) Zbl 1360.60129 J. Numer. Math. Stoch. 8, No. 1, 17-35 (2016). MSC: 60H15 60G15 60G17 28A80 80A05 PDFBibTeX XMLCite \textit{M. Zili}, J. Numer. Math. Stoch. 8, No. 1, 17--35 (2016; Zbl 1360.60129) Full Text: Link
Rudoi, Yu. G.; Kotel’nikova, Olga A. Functional equation for the crossover in the model of one-dimensional Weierstrass random walks. (English. Russian original) Zbl 1361.82026 Theor. Math. Phys. 189, No. 3, 1818-1823 (2016); translation from Teor. Mat. Fiz. 189, No. 3, 477-484 (2016). MSC: 82C24 82C31 82C41 60J60 26A33 PDFBibTeX XMLCite \textit{Yu. G. Rudoi} and \textit{O. A. Kotel'nikova}, Theor. Math. Phys. 189, No. 3, 1818--1823 (2016; Zbl 1361.82026); translation from Teor. Mat. Fiz. 189, No. 3, 477--484 (2016) Full Text: DOI
Sandev, Trifce; Iomin, Alexander; Méndez, Vicenç Lévy processes on a generalized fractal comb. (English) Zbl 1356.60076 J. Phys. A, Math. Theor. 49, No. 35, Article ID 355001, 22 p. (2016). MSC: 60G51 60J60 28A80 PDFBibTeX XMLCite \textit{T. Sandev} et al., J. Phys. A, Math. Theor. 49, No. 35, Article ID 355001, 22 p. (2016; Zbl 1356.60076) Full Text: DOI arXiv
Wu, Wei-Ying; Lim, Chae Young Estimation of smoothness of a stationary Gaussian random field. (English) Zbl 1356.62169 Stat. Sin. 26, No. 4, 1729-1745 (2016). MSC: 62M40 60G10 62M15 PDFBibTeX XMLCite \textit{W.-Y. Wu} and \textit{C. Y. Lim}, Stat. Sin. 26, No. 4, 1729--1745 (2016; Zbl 1356.62169) Full Text: DOI Link
Lou, Shuwen; Ouyang, Cheng Fractal dimensions of rough differential equations driven by fractional Brownian motions. (English) Zbl 1342.60090 Stochastic Processes Appl. 126, No. 8, 2410-2429 (2016). MSC: 60H10 60G22 28A80 28A78 28D05 PDFBibTeX XMLCite \textit{S. Lou} and \textit{C. Ouyang}, Stochastic Processes Appl. 126, No. 8, 2410--2429 (2016; Zbl 1342.60090) Full Text: DOI arXiv
Mishra, Shradha; Bhattacharya, Sanchari; Webb, Benjamin; Cohen, E. G. D. Subdiffusion, anomalous diffusion and propagation of a particle moving in random and periodic media. (English) Zbl 1341.82066 J. Stat. Phys. 162, No. 4, 855-868 (2016). MSC: 82C41 82C20 60J60 28A80 PDFBibTeX XMLCite \textit{S. Mishra} et al., J. Stat. Phys. 162, No. 4, 855--868 (2016; Zbl 1341.82066) Full Text: DOI arXiv
Zhou, Shengfan; Wang, Zhaojuan Finite fractal dimensions of random attractors for stochastic FitzHugh-Nagumo system with multiplicative white noise. (English) Zbl 1359.37115 J. Math. Anal. Appl. 441, No. 2, 648-667 (2016). MSC: 37H10 60H40 37C45 35R60 35B40 35B41 60H30 PDFBibTeX XMLCite \textit{S. Zhou} and \textit{Z. Wang}, J. Math. Anal. Appl. 441, No. 2, 648--667 (2016; Zbl 1359.37115) Full Text: DOI
Balka, Richárd; Buczolich, Zoltán; Elekes, Márton A new fractal dimension: the topological Hausdorff dimension. (English) Zbl 1379.28005 Adv. Math. 274, 881-927 (2015). Reviewer: Enrico Zoli (Firenze) MSC: 28A78 28A80 54F45 60J65 60K35 PDFBibTeX XMLCite \textit{R. Balka} et al., Adv. Math. 274, 881--927 (2015; Zbl 1379.28005) Full Text: DOI arXiv
Kumar, Satish; Cuntz, Manfred; Musielak, Zdzislaw E. Fractal and multifractal analysis of the rise of oxygen in Earth’s early atmosphere. (English) Zbl 1353.86021 Chaos Solitons Fractals 77, 296-303 (2015). MSC: 86A10 60H10 62-07 PDFBibTeX XMLCite \textit{S. Kumar} et al., Chaos Solitons Fractals 77, 296--303 (2015; Zbl 1353.86021) Full Text: DOI arXiv
Prats’ovytyĭ, M. V.; Isayev, T. M. Fractal functions related to \(\Delta^{\mu}\)-representation of numbers. (Ukrainian. English summary) Zbl 1363.11078 Bukovyn. Mat. Zh. 3, No. 3-4, 160-169 (2015). MSC: 11K55 11A67 28A80 60G30 94A60 PDFBibTeX XMLCite \textit{M. V. Prats'ovytyĭ} and \textit{T. M. Isayev}, Bukovyn. Mat. Zh. 3, No. 3--4, 160--169 (2015; Zbl 1363.11078)
Dasgupta, Ratan Optimal choice of small regular shapes for accidentally damaged tessellation. (English) Zbl 1338.60023 Dasgupta, Ratan (ed.), Growth curve and structural equation modeling. Topics from the Indian Statistical Institute. Based on the presentations at the growth curve models, GCM, workshop, Giridih, India, February 18–19, 2014. Cham: Springer (ISBN 978-3-319-17328-3/hbk; 978-3-319-17329-0/ebook). Springer Proceedings in Mathematics & Statistics 132, 287-299 (2015). MSC: 60D05 62P30 PDFBibTeX XMLCite \textit{R. Dasgupta}, Springer Proc. Math. Stat. 132, 287--299 (2015; Zbl 1338.60023) Full Text: DOI
Chueshov, Igor; Schmalfuß, Björn Stochastic dynamics in a fluid-plate interaction model with the only longitudinal deformations of the plate. (English) Zbl 1339.37086 Discrete Contin. Dyn. Syst., Ser. B 20, No. 3, 833-852 (2015). MSC: 37L55 60H15 37L25 35R60 76D06 92C05 PDFBibTeX XMLCite \textit{I. Chueshov} and \textit{B. Schmalfuß}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 3, 833--852 (2015; Zbl 1339.37086) Full Text: DOI
Prats’ovytyĭ, M. V.; Savchenko, I. O. The distributions of random incomplete sums of a series with positive terms satisfying the property of non-linear homogeneity. (English. Ukrainian original) Zbl 1346.60053 Theory Probab. Math. Stat. 91, 145-155 (2015); translation from Teor. Jmovirn. Mat. Stat. 91, 133-142 (2014). MSC: 60G30 60G50 28A78 28A80 11K55 PDFBibTeX XMLCite \textit{M. V. Prats'ovytyĭ} and \textit{I. O. Savchenko}, Theory Probab. Math. Stat. 91, 145--155 (2015; Zbl 1346.60053); translation from Teor. Jmovirn. Mat. Stat. 91, 133--142 (2014) Full Text: DOI
Hansen, Linda V.; Thorarinsdottir, Thordis L.; Ovcharov, Evgeni; Gneiting, Tilmann; Richards, Donald Gaussian random particles with flexible Hausdorff dimension. (English) Zbl 1352.60013 Adv. Appl. Probab. 47, No. 2, 307-327 (2015). Reviewer: Andrew Wade (Durham) MSC: 60D05 60G60 37F35 PDFBibTeX XMLCite \textit{L. V. Hansen} et al., Adv. Appl. Probab. 47, No. 2, 307--327 (2015; Zbl 1352.60013) Full Text: DOI arXiv Euclid
Calka, Pierre; Demichel, Yann Fractal random series generated by Poisson-Voronoi tessellations. (English) Zbl 1315.28004 Trans. Am. Math. Soc. 367, No. 6, 4157-4182 (2015). Reviewer: Peter Massopust (München) MSC: 28A80 26B35 28A78 60D05 60G55 PDFBibTeX XMLCite \textit{P. Calka} and \textit{Y. Demichel}, Trans. Am. Math. Soc. 367, No. 6, 4157--4182 (2015; Zbl 1315.28004) Full Text: DOI arXiv
Rhee, Thomas A. The relationship between return fractality and bipower variation. (English) Zbl 1396.91701 Algorithm. Finance 3, No. 3-4, 163-171 (2014). MSC: 91G10 28A20 60J75 PDFBibTeX XMLCite \textit{T. A. Rhee}, Algorithm. Finance 3, No. 3--4, 163--171 (2014; Zbl 1396.91701) Full Text: DOI
Faranda, Davide; Vaienti, Sandro Extreme value laws for dynamical systems under observational noise. (English) Zbl 1349.60081 Physica D 280-281, 86-94 (2014). MSC: 60G70 37M10 37H05 37M05 28A80 PDFBibTeX XMLCite \textit{D. Faranda} and \textit{S. Vaienti}, Physica D 280--281, 86--94 (2014; Zbl 1349.60081) Full Text: DOI arXiv
Bakhtin, Victor The McMillan theorem for colored branching processes and dimensions of random fractals. (English) Zbl 1338.28005 Entropy 16, No. 12, 6624-6653 (2014). MSC: 28A80 37F35 60J80 94A17 PDFBibTeX XMLCite \textit{V. Bakhtin}, Entropy 16, No. 12, 6624--6653 (2014; Zbl 1338.28005) Full Text: DOI arXiv
Prats’ovytyĭ, M. V.; Isaeva, T. M. On some applications of \(\Delta^{\#}\)-representation of real numbers. (Ukrainian. English summary) Zbl 1324.11053 Bukovyn. Mat. Zh. 2, No. 2-3, 186-195 (2014). MSC: 11K55 11A67 28A80 60G30 94A60 PDFBibTeX XMLCite \textit{M. V. Prats'ovytyĭ} and \textit{T. M. Isaeva}, Bukovyn. Mat. Zh. 2, No. 2--3, 186--195 (2014; Zbl 1324.11053)
Betz, Volker Random permutations of a regular lattice. (English) Zbl 1302.82038 J. Stat. Phys. 155, No. 6, 1222-1248 (2014). Reviewer: Mei Yin (Denver) MSC: 82B26 28A80 60K35 60D05 82B80 60J67 82B20 PDFBibTeX XMLCite \textit{V. Betz}, J. Stat. Phys. 155, No. 6, 1222--1248 (2014; Zbl 1302.82038) Full Text: DOI arXiv
Koivusalo, Henna Dimension of uniformly random self-similar fractals. (English) Zbl 1303.28013 Real Anal. Exch. 39(2013-2014), No. 1, 73-90 (2014). Reviewer: Benjamin Steinhurst (Westminster) MSC: 28A80 28A78 60D05 PDFBibTeX XMLCite \textit{H. Koivusalo}, Real Anal. Exch. 39, No. 1, 73--90 (2014; Zbl 1303.28013) Full Text: DOI arXiv Euclid
Albeverio, Sergio; Kondratiev, Yuri; Nikiforov, Roman; Torbin, Grygoriy On fractal properties of non-normal numbers with respect to Rényi \(f\)-expansions generated by piecewise linear functions. (English) Zbl 1294.11133 Bull. Sci. Math. 138, No. 3, 440-455 (2014). Reviewer: Marius Iosifescu (Bucureşti) MSC: 11K55 28A80 60G30 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Bull. Sci. Math. 138, No. 3, 440--455 (2014; Zbl 1294.11133) Full Text: DOI
Thäle, Christoph Hausdorff dimension of visible sets for well-behaved continuum percolation in the hyperbolic plane. (English) Zbl 1293.60094 Braz. J. Probab. Stat. 28, No. 1, 73-82 (2014). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{C. Thäle}, Braz. J. Probab. Stat. 28, No. 1, 73--82 (2014; Zbl 1293.60094) Full Text: DOI arXiv Euclid
Hattori, Kumiko; Mizuno, Michiaki Loop-erased random walk on the Sierpinski gasket. (English) Zbl 1320.60107 Stochastic Processes Appl. 124, No. 1, 566-585 (2014). MSC: 60G50 60F17 60K35 60G17 60C05 PDFBibTeX XMLCite \textit{K. Hattori} and \textit{M. Mizuno}, Stochastic Processes Appl. 124, No. 1, 566--585 (2014; Zbl 1320.60107) Full Text: DOI arXiv
Rodrigues, Christian S.; de Moura, Alessandro P. S.; Grebogi, Celso Effects of bounded random perturbations on discrete dynamical systems. (English) Zbl 1376.37102 d’Onofrio, Alberto (ed.), Bounded noises in physics, biology, and engineering. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7384-8/hbk; 978-1-4614-7385-5/ebook). Modeling and Simulation in Science, Engineering and Technology, 151-168 (2013). MSC: 37H10 60G17 37C45 60H25 PDFBibTeX XMLCite \textit{C. S. Rodrigues} et al., in: Bounded noises in physics, biology, and engineering. New York, NY: Birkhäuser/Springer. 151--168 (2013; Zbl 1376.37102) Full Text: DOI
Zhang, Liang Hausdorff dimension of limsup random fractals. (English) Zbl 1287.60018 Electron. J. Probab. 18, Paper No. 39, 26 p. (2013). Reviewer: Enzo Orsingher (Roma) MSC: 60D05 28A80 PDFBibTeX XMLCite \textit{L. Zhang}, Electron. J. Probab. 18, Paper No. 39, 26 p. (2013; Zbl 1287.60018) Full Text: DOI
Berlinkov, Artemi On random fractals with infinite branching: definition, measurability, dimensions. (English. French summary) Zbl 1300.28003 Ann. Inst. Henri Poincaré, Probab. Stat. 49, No. 4, 1080-1089 (2013). Reviewer: Yuang-Ling Ye (Guangzhou) MSC: 28A80 28A78 60D05 37F40 PDFBibTeX XMLCite \textit{A. Berlinkov}, Ann. Inst. Henri Poincaré, Probab. Stat. 49, No. 4, 1080--1089 (2013; Zbl 1300.28003) Full Text: DOI arXiv Euclid
Broman, Erik I.; Camia, Federico; Joosten, Matthijs; Meester, Ronald Dimension (In)equalities and Hölder continuous curves in fractal percolation. (English) Zbl 1277.60171 J. Theor. Probab. 26, No. 3, 836-854 (2013). MSC: 60K35 28A80 54C05 37F35 PDFBibTeX XMLCite \textit{E. I. Broman} et al., J. Theor. Probab. 26, No. 3, 836--854 (2013; Zbl 1277.60171) Full Text: DOI arXiv
Meerschaert, Mark M.; Nane, Erkan; Xiao, Yimin Fractal dimension results for continuous time random walks. (English) Zbl 1401.60080 Stat. Probab. Lett. 83, No. 4, 1083-1093 (2013). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60G50 28A80 PDFBibTeX XMLCite \textit{M. M. Meerschaert} et al., Stat. Probab. Lett. 83, No. 4, 1083--1093 (2013; Zbl 1401.60080) Full Text: DOI arXiv Link
Batakis, Athanasios; Nguyen, Viet Hung On the exit distribution of partially reflected Brownian motion in planar domains. (English) Zbl 1258.31001 Potential Anal. 38, No. 2, 537-548 (2013). MSC: 31A15 30C85 60J65 60J50 PDFBibTeX XMLCite \textit{A. Batakis} and \textit{V. H. Nguyen}, Potential Anal. 38, No. 2, 537--548 (2013; Zbl 1258.31001) Full Text: DOI arXiv
Tang, Zhenhua; Yu, Zuguo Network analysis of fractional Brownian motion time series based on recurrence plots. (Chinese. English summary) Zbl 1274.62623 Chin. J. Eng. Math. 29, No. 4, 499-506 (2012). MSC: 62M10 60G22 60J65 05C82 PDFBibTeX XMLCite \textit{Z. Tang} and \textit{Z. Yu}, Chin. J. Eng. Math. 29, No. 4, 499--506 (2012; Zbl 1274.62623)
Pearse, Erin P. J.; Winter, Steffen Geometry of canonical self-similar tilings. (English) Zbl 1266.28006 Rocky Mt. J. Math. 42, No. 4, 1327-1357 (2012). Reviewer: Yuri A. Brudnyi (Haifa) MSC: 28A80 28A75 52A20 52C22 52A38 53C65 51M25 49Q15 60K05 54F45 PDFBibTeX XMLCite \textit{E. P. J. Pearse} and \textit{S. Winter}, Rocky Mt. J. Math. 42, No. 4, 1327--1357 (2012; Zbl 1266.28006) Full Text: DOI arXiv Euclid
Cammarota, Valentina; Mörters, Peter On the most visited sites of planar Brownian motion. (English) Zbl 1244.60079 Electron. Commun. Probab. 17, Paper No. 15, 9 p. (2012). MSC: 60J65 60G17 PDFBibTeX XMLCite \textit{V. Cammarota} and \textit{P. Mörters}, Electron. Commun. Probab. 17, Paper No. 15, 9 p. (2012; Zbl 1244.60079) Full Text: DOI arXiv
Prigarin, S. M.; Hahn, K.; Winkler, G. Estimation of fractal dimension of random fields on the basis of variance analysis of increments. (Russian, English) Zbl 1299.65013 Sib. Zh. Vychisl. Mat. 14, No. 1, 91-102 (2011); translation in Numer. Analysis Appl. 4, No. 1, 71-80 (2011). MSC: 65C50 60G22 65C05 28A80 60G60 PDFBibTeX XMLCite \textit{S. M. Prigarin} et al., Sib. Zh. Vychisl. Mat. 14, No. 1, 91--102 (2011; Zbl 1299.65013); translation in Numer. Analysis Appl. 4, No. 1, 71--80 (2011) Full Text: DOI
Ruiz-Medina, M. D.; Anh, V. V.; Angulo, J. M. Multifractional Markov processes in heterogeneous domains. (English) Zbl 1236.60041 Stochastic Anal. Appl. 29, No. 1, 15-47 (2011). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60G22 47D06 60J25 46E35 PDFBibTeX XMLCite \textit{M. D. Ruiz-Medina} et al., Stochastic Anal. Appl. 29, No. 1, 15--47 (2011; Zbl 1236.60041) Full Text: DOI
Barral, Julien; Berestycki, Julien; Bertoin, Jean; Fan, Aihua; Haas, Bénédicte; Jaffard, Stéphane; Miermont, Grégory; Peyrière, Jacques Some interactions between analysis, probability theory and fractals. To Benoît Mandelbrot, in memoriam. (Quelques interactions entre analyse, probabilités et fractals. A Benoît Mandelbrot, in memoriam.) (French) Zbl 1308.28002 Panoramas et Synthèses 32. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-313-3/pbk). x, 243 p. (2010). MSC: 28-06 60-06 00B30 28A80 28A78 37B40 43A25 60G18 60J80 11J83 11K06 PDFBibTeX XMLCite \textit{J. Barral} et al., Quelques interactions entre analyse, probabilités et fractals. A Benoît Mandelbrot, in memoriam. Paris: Société Mathématique de France (SMF) (2010; Zbl 1308.28002) Full Text: Link
Baikov, V. A.; Bakirov, N. K.; Yakovlev, A. A. Asymptotic behavior of the variogramm of zero (the model of black noise). (Russian. English summary) Zbl 1240.65004 Ufim. Mat. Zh. 2, No. 3, 10-16 (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65C20 62M40 60G60 86A32 PDFBibTeX XMLCite \textit{V. A. Baikov} et al., Ufim. Mat. Zh. 2, No. 3, 10--16 (2010; Zbl 1240.65004) Full Text: MNR
Vladimirov, Igor G.; Klimenko, A. Y. Tracing diffusion in porous media with fractal properties. (English) Zbl 1383.76458 Multiscale Model. Simul. 8, No. 4, 1178-1211 (2010). MSC: 76S05 76M35 76R50 35Q35 60G18 60J60 65M99 PDFBibTeX XMLCite \textit{I. G. Vladimirov} and \textit{A. Y. Klimenko}, Multiscale Model. Simul. 8, No. 4, 1178--1211 (2010; Zbl 1383.76458) Full Text: DOI Link
Lawler, Gregory F. Random walk and the heat equation. (English) Zbl 1213.60001 Student Mathematical Library 55. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4829-6/pbk). ix, 156 p. (2010). Reviewer: Carles Rovira (Barcelona) MSC: 60-01 60G50 60J65 60G42 35K05 28A80 PDFBibTeX XMLCite \textit{G. F. Lawler}, Random walk and the heat equation. Providence, RI: American Mathematical Society (AMS) (2010; Zbl 1213.60001)
Hu, Xiaoyu; Miller, Jason; Peres, Yuval Thick points of the Gaussian free field. (English) Zbl 1201.60047 Ann. Probab. 38, No. 2, 896-926 (2010). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60G60 60G15 60G18 28A80 PDFBibTeX XMLCite \textit{X. Hu} et al., Ann. Probab. 38, No. 2, 896--926 (2010; Zbl 1201.60047) Full Text: DOI arXiv
Pestana, Dinis D.; Aleixo, Sandra M.; Rocha, J. Leonel The Beta \((p,1)\) extensions of the random (uniform) Cantor sets. (English) Zbl 1214.28004 Discuss. Math., Probab. Stat. 29, No. 2, 199-221 (2009). Reviewer: Ilya S. Molchanov (Bern) MSC: 28A80 60D05 PDFBibTeX XMLCite \textit{D. D. Pestana} et al., Discuss. Math., Probab. Stat. 29, No. 2, 199--221 (2009; Zbl 1214.28004) Full Text: DOI Link
Prigarin, S. M.; Hahn, Klaus; Winkler, Gerhard Variational dimension of random sequences and its application. (Russian, English) Zbl 1212.65033 Sib. Zh. Vychisl. Mat. 12, No. 4, 435-448 (2009); translation in Numer. Analysis Appl. 2, No. 4, 352-363 (2009). MSC: 65C50 65C20 60G15 28A80 62-07 PDFBibTeX XMLCite \textit{S. M. Prigarin} et al., Sib. Zh. Vychisl. Mat. 12, No. 4, 435--448 (2009; Zbl 1212.65033); translation in Numer. Analysis Appl. 2, No. 4, 352--363 (2009) Full Text: DOI
Xiong, Ying On fractal dimensions of some level sets of random walk. (Chinese. English summary) Zbl 1212.28031 Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 2, 283-289 (2009). MSC: 28A80 60G50 PDFBibTeX XMLCite \textit{Y. Xiong}, Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 2, 283--289 (2009; Zbl 1212.28031)
Albeverio, Sergio; Baranovskyi, Oleksandr; Pratsiovytyi, Mykola; Torbin, Grygoriy The set of incomplete sums of the first Ostrogradsky series and anomalously fractal probability distributions on it. (English) Zbl 1199.60036 Rev. Roum. Math. Pures Appl. 54, No. 2, 85-115 (2009). Reviewer: Cryssoula Ganatsiou (Larissa) MSC: 60E05 11K55 26A30 28A80 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Rev. Roum. Math. Pures Appl. 54, No. 2, 85--115 (2009; Zbl 1199.60036)
Freiberg, Uta; Thäle, Christoph A Markov chain algorithm for determining crossing times through nested graphs. (English) Zbl 1357.60077 Fifth colloquium on mathematics and computer science. Lectures from the colloquium, Blaubeuren, Germany, September 22–26, 2008. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science Proceedings AI, 501-518 (2008). MSC: 60J22 60J10 60J65 60G18 28A80 65C40 PDFBibTeX XMLCite \textit{U. Freiberg} and \textit{C. Thäle}, in: Fifth colloquium on mathematics and computer science. Lectures from the colloquium, Blaubeuren, Germany, September 22--26, 2008. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 501--518 (2008; Zbl 1357.60077) Full Text: Link
Prigarin, S. M.; Hahn, K.; Winkler, G. Comparative analysis of two numerical methods to measure Hausdorff dimension of the fractional Brownian motion. (Russian, English) Zbl 1212.65032 Sib. Zh. Vychisl. Mat. 11, No. 2, 201-218 (2008); translation in Numer. Analysis Appl. 1, No. 2, 163-178 (2008). MSC: 65C50 60G22 65C05 28A80 PDFBibTeX XMLCite \textit{S. M. Prigarin} et al., Sib. Zh. Vychisl. Mat. 11, No. 2, 201--218 (2008; Zbl 1212.65032); translation in Numer. Analysis Appl. 1, No. 2, 163--178 (2008)
Li, Ming; Lim, S. C.; Zhao, Wei Long-range dependent network traffic: a view from generalized Cauchy process. (English) Zbl 1210.60105 Yang, Fengshan (ed.), Progress in applied mathematical modeling. New York, NY: Nova Science Publishers (ISBN 1-60021-976-4/hbk). 319-336 (2008). Reviewer: Eugene A. Feinberg (Stony Brook) MSC: 60K30 28A80 60G15 60G18 62M10 60E07 PDFBibTeX XMLCite \textit{M. Li} et al., in: Progress in applied mathematical modeling. New York, NY: Nova Science Publishers. 319--336 (2008; Zbl 1210.60105)
Torbin, G. M. On \(DP\)-properties of fractal probability measures with independent \(Q\)-symbols. (Ukrainian. English summary) Zbl 1164.60305 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2008, No. 4, 44-50 (2008). MSC: 60A10 PDFBibTeX XMLCite \textit{G. M. Torbin}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2008, No. 4, 44--50 (2008; Zbl 1164.60305)
Thanh, Vu Thi Hong The extreme values of local dimension in fractal geometry. (English) Zbl 1169.28003 Acta Math. Vietnam. 33, No. 2, 133-142 (2008). Reviewer: Ilya S. Molchanov (Bern) MSC: 28A78 60E99 PDFBibTeX XMLCite \textit{V. T. H. Thanh}, Acta Math. Vietnam. 33, No. 2, 133--142 (2008; Zbl 1169.28003)
Ruiz, Víctor A compact framework for hidden Markov chains with applications to fractal geometry. (English) Zbl 1176.60064 J. Appl. Probab. 45, No. 3, 630-639 (2008). Reviewer: Yimin Xiao (East Lansing) MSC: 60J10 28A78 28A80 PDFBibTeX XMLCite \textit{V. Ruiz}, J. Appl. Probab. 45, No. 3, 630--639 (2008; Zbl 1176.60064) Full Text: DOI
Shanker, O. Random walk in shortcut models. (English) Zbl 1151.82355 Mod. Phys. Lett. B 22, No. 10, 727-733 (2008). MSC: 82B41 60G50 PDFBibTeX XMLCite \textit{O. Shanker}, Mod. Phys. Lett. B 22, No. 10, 727--733 (2008; Zbl 1151.82355) Full Text: DOI
Lin, Zhengyan; Cheng, Zongmao Moduli of continuity of a class of \(N\)-parameter Gaussian processes and their fast points. (English) Zbl 1146.60033 Acta Math. Sin., Engl. Ser. 24, No. 6, 901-910 (2008). MSC: 60G15 60F15 60G17 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{Z. Cheng}, Acta Math. Sin., Engl. Ser. 24, No. 6, 901--910 (2008; Zbl 1146.60033) Full Text: DOI