Tetenov, Andrei; Kutlimuratov, Allanazar On the structure of self-affine Jordan arcs in \(\mathbb{R}^2\). (English) Zbl 07700913 Demonstr. Math. 56, Article ID 20220228, 12 p. (2023). MSC: 28A80 26A27 PDFBibTeX XMLCite \textit{A. Tetenov} and \textit{A. Kutlimuratov}, Demonstr. Math. 56, Article ID 20220228, 12 p. (2023; Zbl 07700913) Full Text: DOI
Wang, Bichen; Hou, Yulei Comment on “A computational technique to classify several fractional Brownian motion processes”. (English) Zbl 1504.60060 Chaos Solitons Fractals 161, Article ID 112377, 3 p. (2022). MSC: 60G22 60J65 60G18 26A33 PDFBibTeX XMLCite \textit{B. Wang} and \textit{Y. Hou}, Chaos Solitons Fractals 161, Article ID 112377, 3 p. (2022; Zbl 1504.60060) Full Text: DOI
Litovchenko, Vladyslav The Cauchy problem and distribution of local fluctuations of one Riesz gravitational field. (English) Zbl 1503.35293 Fract. Calc. Appl. Anal. 25, No. 2, 668-686 (2022). MSC: 35S10 35S05 35R11 26A33 60G51 PDFBibTeX XMLCite \textit{V. Litovchenko}, Fract. Calc. Appl. Anal. 25, No. 2, 668--686 (2022; Zbl 1503.35293) Full Text: DOI
Daw, Lara; Loosveldt, Laurent Wavelet methods to study the pointwise regularity of the generalized Rosenblatt process. (English) Zbl 1515.60093 Electron. J. Probab. 27, Paper No. 152, 45 p. (2022). MSC: 60G18 60G22 42C40 26A16 60G17 PDFBibTeX XMLCite \textit{L. Daw} and \textit{L. Loosveldt}, Electron. J. Probab. 27, Paper No. 152, 45 p. (2022; Zbl 1515.60093) Full Text: DOI arXiv
Cont, Rama; Das, Purba Quadratic variation along refining partitions: constructions and examples. (English) Zbl 1490.60083 J. Math. Anal. Appl. 512, No. 2, Article ID 126173, 35 p. (2022). MSC: 60G17 26A45 PDFBibTeX XMLCite \textit{R. Cont} and \textit{P. Das}, J. Math. Anal. Appl. 512, No. 2, Article ID 126173, 35 p. (2022; Zbl 1490.60083) Full Text: DOI arXiv
Abdel-Rehim, E. A. The need for the fractional operators. (English) Zbl 1486.35409 J. Egypt. Math. Soc. 29, Paper No. 25, 7 p. (2021). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim}, J. Egypt. Math. Soc. 29, Paper No. 25, 7 p. (2021; Zbl 1486.35409) Full Text: DOI
Litovchenko, V. A. Holtsmark fluctuations of nonstationary gravitational fields. (English. Ukrainian original) Zbl 1473.60039 Ukr. Math. J. 73, No. 1, 76-84 (2021); translation from Ukr. Mat. Zh. 73, No. 1, 69-76 (2021). MSC: 60E07 26A33 35S10 PDFBibTeX XMLCite \textit{V. A. Litovchenko}, Ukr. Math. J. 73, No. 1, 76--84 (2021; Zbl 1473.60039); translation from Ukr. Mat. Zh. 73, No. 1, 69--76 (2021) Full Text: DOI
Bourdin, Loïc; Ferreira, Rui A. C. Legendre’s necessary condition for fractional Bolza functionals with mixed initial/final constraints. (English) Zbl 1471.49017 J. Optim. Theory Appl. 190, No. 2, 672-708 (2021). MSC: 49K05 26A33 34A08 PDFBibTeX XMLCite \textit{L. Bourdin} and \textit{R. A. C. Ferreira}, J. Optim. Theory Appl. 190, No. 2, 672--708 (2021; Zbl 1471.49017) Full Text: DOI arXiv
Kern, Peter; Lage, Svenja Space-time duality for semi-fractional diffusions. (English) Zbl 1462.35441 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, 255-272 (2021). MSC: 35R11 26A33 60G18 60G22 60G51 82C31 PDFBibTeX XMLCite \textit{P. Kern} and \textit{S. Lage}, Prog. Probab. 76, 255--272 (2021; Zbl 1462.35441) Full Text: DOI arXiv
dos Santos, Maike A. F.; Nobre, Fernando D.; Curado, Evaldo M. F. Monitoring Lévy-process crossovers. (English) Zbl 1453.82073 Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105490, 10 p. (2021). MSC: 82C41 60G51 60G22 35R11 26A33 PDFBibTeX XMLCite \textit{M. A. F. dos Santos} et al., Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105490, 10 p. (2021; Zbl 1453.82073) Full Text: DOI arXiv
Alam, Irfan Limiting probability measures. (English) Zbl 1456.28009 J. Log. Anal. 12, Paper No. 1, 35 p. (2020). MSC: 28E05 03H05 26E35 28C15 28C20 PDFBibTeX XMLCite \textit{I. Alam}, J. Log. Anal. 12, Paper No. 1, 35 p. (2020; Zbl 1456.28009) Full Text: DOI arXiv
De Koninck, Jean-Marie; Kátai, Imre On the values of the Euler function around shifted primes. (English. French summary) Zbl 1436.11118 Ann. Math. Qué. 43, No. 1, 37-50 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N60 11N25 26A15 PDFBibTeX XMLCite \textit{J.-M. De Koninck} and \textit{I. Kátai}, Ann. Math. Qué. 43, No. 1, 37--50 (2019; Zbl 1436.11118) Full Text: DOI
De Lima, Amanda; Smania, Daniel Central limit theorem for generalized Weierstrass functions. (English) Zbl 1409.37028 Stoch. Dyn. 19, No. 1, Article ID 1950002, 18 p. (2019). Reviewer: Peter Massopust (München) MSC: 37C30 37C40 26A15 26A27 60F05 37A05 37E10 PDFBibTeX XMLCite \textit{A. De Lima} and \textit{D. Smania}, Stoch. Dyn. 19, No. 1, Article ID 1950002, 18 p. (2019; Zbl 1409.37028) Full Text: DOI arXiv
McCoy, Timothy M.; Peterson, Chris; Sommese, Andrew J. Numerical irreducible decomposition over a number field. (English) Zbl 1408.14194 J. Algebra Appl. 17, No. 10, Article ID 1850195, 12 p. (2018). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Q99 65H20 65H10 68W30 26C10 PDFBibTeX XMLCite \textit{T. M. McCoy} et al., J. Algebra Appl. 17, No. 10, Article ID 1850195, 12 p. (2018; Zbl 1408.14194) Full Text: DOI
Galewski, Marek; Rădulescu, Marius On a global implicit function theorem for locally Lipschitz maps via non-smooth critical point theory. (English) Zbl 1393.26012 Quaest. Math. 41, No. 4, 515-528 (2018). MSC: 26B10 58C15 49J52 PDFBibTeX XMLCite \textit{M. Galewski} and \textit{M. Rădulescu}, Quaest. Math. 41, No. 4, 515--528 (2018; Zbl 1393.26012) Full Text: DOI arXiv
Bajbar, Tomáš; Stein, Oliver On globally diffeomorphic polynomial maps via Newton polytopes and circuit numbers. (English) Zbl 1405.14130 Math. Z. 288, No. 3-4, 915-933 (2018). Reviewer: Alexander Taveira Blomenhofer (Konstanz) MSC: 14P05 26B10 26C05 52B20 14R15 PDFBibTeX XMLCite \textit{T. Bajbar} and \textit{O. Stein}, Math. Z. 288, No. 3--4, 915--933 (2018; Zbl 1405.14130) Full Text: DOI arXiv
Allaart, Pieter C. Differentiability and Hölder spectra of a class of self-affine functions. (English) Zbl 1391.28004 Adv. Math. 328, 1-39 (2018). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 28A78 26A16 26A27 26A30 28A80 PDFBibTeX XMLCite \textit{P. C. Allaart}, Adv. Math. 328, 1--39 (2018; Zbl 1391.28004) Full Text: DOI arXiv
Martelloni, Gianluca; Bagnoli, Franco; Guarino, Alessio A 3D model for rain-induced landslides based on molecular dynamics with fractal and fractional water diffusion. (English) Zbl 1459.76140 Commun. Nonlinear Sci. Numer. Simul. 50, 311-329 (2017). MSC: 76R50 76T99 76M99 74L05 74A25 26A33 PDFBibTeX XMLCite \textit{G. Martelloni} et al., Commun. Nonlinear Sci. Numer. Simul. 50, 311--329 (2017; Zbl 1459.76140) Full Text: DOI arXiv
Gutú, Olivia Solving nonlinear systems of equations. (Spanish) Zbl 1439.26035 Misc. Mat. 64, 21-36 (2017). MSC: 26B10 58C25 PDFBibTeX XMLCite \textit{O. Gutú}, Misc. Mat. 64, 21--36 (2017; Zbl 1439.26035) Full Text: Link
Burns, Keith; Davidovich, Orit; Davis, Diana Average pace and horizontal chords. (English) Zbl 1434.26005 Math. Intell. 39, No. 4, 41-45 (2017). MSC: 26A15 26A09 PDFBibTeX XMLCite \textit{K. Burns} et al., Math. Intell. 39, No. 4, 41--45 (2017; Zbl 1434.26005) Full Text: DOI arXiv
Lebid’, M. V.; Torbin, H. M. Singularity and fine fractal properties of one class of infinite Bernoulli convolutions with essential overlapping. II. (English. Ukrainian original) Zbl 1390.60148 Ukr. Math. J. 67, No. 12, 1884-1899 (2016); translation from Ukr. Mat. Zh. 67, No. 12, 1667-1678 (2015). MSC: 60G30 28A80 26A30 28A78 11K55 PDFBibTeX XMLCite \textit{M. V. Lebid'} and \textit{H. M. Torbin}, Ukr. Math. J. 67, No. 12, 1884--1899 (2016; Zbl 1390.60148); translation from Ukr. Mat. Zh. 67, No. 12, 1667--1678 (2015) Full Text: DOI
Hilfer, Rudolf Experimental implications of Bochner-Levy-Riesz diffusion. (English) Zbl 1499.60271 Fract. Calc. Appl. Anal. 18, No. 2, 333-341 (2015). MSC: 60J60 26A33 60G22 34B10 PDFBibTeX XMLCite \textit{R. Hilfer}, Fract. Calc. Appl. Anal. 18, No. 2, 333--341 (2015; Zbl 1499.60271) Full Text: DOI
Ferrari, Fausto; Franchi, Bruno Harnack inequality for fractional sub-Laplacians in Carnot groups. (English) Zbl 1314.26008 Math. Z. 279, No. 1-2, 435-458 (2015). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A33 35R03 PDFBibTeX XMLCite \textit{F. Ferrari} and \textit{B. Franchi}, Math. Z. 279, No. 1--2, 435--458 (2015; Zbl 1314.26008) Full Text: DOI arXiv
Valério, Duarte; Machado, José Tenreiro; Kiryakova, Virginia Some pioneers of the applications of fractional calculus. (English) Zbl 1305.26008 Fract. Calc. Appl. Anal. 17, No. 2, 552-578 (2014); erratum ibid. 20, No. 3, 790 (2017). MSC: 26-03 34-03 26A33 01A55 01A60 34A08 PDFBibTeX XMLCite \textit{D. Valério} et al., Fract. Calc. Appl. Anal. 17, No. 2, 552--578 (2014; Zbl 1305.26008) Full Text: DOI Link
Eliazar, Iddo I.; Shlesinger, Michael F. Fractional motions. (English) Zbl 1300.82015 Phys. Rep. 527, No. 2, 101-129 (2013). MSC: 82B41 60J65 82C31 60J60 26A33 60G51 28A80 PDFBibTeX XMLCite \textit{I. I. Eliazar} and \textit{M. F. Shlesinger}, Phys. Rep. 527, No. 2, 101--129 (2013; Zbl 1300.82015) Full Text: DOI
Barnard, R. W.; Hadjicostas, P. Banks’ criterion and symmetric stable laws with index of stability between one-half and one. (English) Zbl 1318.62064 Math. Methods Stat. 21, No. 4, 251-282 (2012). MSC: 62F10 62F12 26D07 26D15 PDFBibTeX XMLCite \textit{R. W. Barnard} and \textit{P. Hadjicostas}, Math. Methods Stat. 21, No. 4, 251--282 (2012; Zbl 1318.62064) Full Text: DOI
Grow, David; Sanyal, Suman The quadratic variation of Brownian motion on a time scale. (English) Zbl 1251.60061 Stat. Probab. Lett. 82, No. 9, 1677-1680 (2012). MSC: 60J65 26E70 60G05 PDFBibTeX XMLCite \textit{D. Grow} and \textit{S. Sanyal}, Stat. Probab. Lett. 82, No. 9, 1677--1680 (2012; Zbl 1251.60061) Full Text: DOI
Hanert, Emmanuel; Schumacher, Eva; Deleersnijder, Eric Front dynamics in fractional-order epidemic models. (English) Zbl 1397.92636 J. Theor. Biol. 279, 9-16 (2011). MSC: 92D30 26A33 35K57 PDFBibTeX XMLCite \textit{E. Hanert} et al., J. Theor. Biol. 279, 9--16 (2011; Zbl 1397.92636) Full Text: DOI HAL
Antunović, Tonći; Peres, Yuval; Vermesi, Brigitta Brownian motion with variable drift can be space filling. (English) Zbl 1229.60095 Proc. Am. Math. Soc. 139, No. 9, 3359-3373 (2011). Reviewer: Feng-Yu Wang (Swansea) MSC: 60J65 26A16 PDFBibTeX XMLCite \textit{T. Antunović} et al., Proc. Am. Math. Soc. 139, No. 9, 3359--3373 (2011; Zbl 1229.60095) Full Text: DOI arXiv
Jin, Xiong The graph and range singularity spectra of \(b\)-adic independent cascade functions. (English) Zbl 1213.26007 Adv. Math. 226, No. 6, 4987-5017 (2011). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 26A30 28A78 28A80 PDFBibTeX XMLCite \textit{X. Jin}, Adv. Math. 226, No. 6, 4987--5017 (2011; Zbl 1213.26007) Full Text: DOI arXiv
Sato, Ken-iti Fractional integrals and extensions of selfdecomposability. (English) Zbl 1222.60019 Barndorff-Nielsen, Ole E. (ed.) et al., Lévy matters I. Recent progress in theory and applications: foundations, trees and numerical issues in finance. With a short biography of Paul Lévy by Jean Jacod. Berlin: Springer (ISBN 978-3-642-14006-8/pbk; 978-3-642-14007-5/ebook). Lecture Notes in Mathematics 2001. Lévy Matters, 1-91 (2010). Reviewer: Nicolas Privault (Singapore) MSC: 60E07 60G51 26A33 60H05 62E10 PDFBibTeX XMLCite \textit{K.-i. Sato}, Lect. Notes Math. 2001, 1--91 (2010; Zbl 1222.60019) Full Text: DOI
Alili, Larbi; Wu, Ching-Tang Further results on some singular linear stochastic differential equations. (English) Zbl 1162.26307 Stochastic Processes Appl. 119, No. 4, 1386-1399 (2009). MSC: 26C05 60J65 PDFBibTeX XMLCite \textit{L. Alili} and \textit{C.-T. Wu}, Stochastic Processes Appl. 119, No. 4, 1386--1399 (2009; Zbl 1162.26307) Full Text: DOI arXiv
Abdel-Rehim, E. A.; Gorenflo, R. Simulation of the continuous time random walk of the space-fractional diffusion equations. (English) Zbl 1153.65007 J. Comput. Appl. Math. 222, No. 2, 274-283 (2008). MSC: 65C30 26A33 45K05 60J60 60G50 60G15 60H15 60H35 PDFBibTeX XMLCite \textit{E. A. Abdel-Rehim} and \textit{R. Gorenflo}, J. Comput. Appl. Math. 222, No. 2, 274--283 (2008; Zbl 1153.65007) Full Text: DOI
Tarasov, Vasily E.; Zaslavsky, George M. Fractional generalization of Kac integral. (English) Zbl 1133.26004 Commun. Nonlinear Sci. Numer. Simul. 13, No. 2, 248-258 (2008). Reviewer: S. L. Kalla (Kuwait) MSC: 26A33 35K99 33C60 PDFBibTeX XMLCite \textit{V. E. Tarasov} and \textit{G. M. Zaslavsky}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 2, 248--258 (2008; Zbl 1133.26004) Full Text: DOI arXiv
Liu, Q.; Liu, Fawang; Turner, I.; Anh, V. Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method. (English) Zbl 1112.65006 J. Comput. Phys. 222, No. 1, 57-70 (2007). Reviewer: Henri Schurz (Carbondale) MSC: 65C30 35K50 60H30 65M06 65M12 60H15 26A33 60G50 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Comput. Phys. 222, No. 1, 57--70 (2007; Zbl 1112.65006) Full Text: DOI
Barthe, Franck Autour de l’inégalité de Brunn-Minkowski. (Around the Brunn-Minkowski inequality.) (French) Zbl 1052.52002 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 12, No. 2, 127-178 (2003). Reviewer: Rolf Schneider (Freiburg i.Br.) MSC: 52A40 26D20 60E99 60F99 52-02 PDFBibTeX XMLCite \textit{F. Barthe}, Ann. Fac. Sci. Toulouse, Math. (6) 12, No. 2, 127--178 (2003; Zbl 1052.52002) Full Text: DOI Numdam Numdam EuDML
Rubin, Boris Fractional integrals and wavelet transforms associated with Blaschke-Lévy representations on the sphere. (English) Zbl 1124.42305 Isr. J. Math. 114, 1-27 (1999). MSC: 42C40 26A33 43A85 44A12 PDFBibTeX XMLCite \textit{B. Rubin}, Isr. J. Math. 114, 1--27 (1999; Zbl 1124.42305) Full Text: DOI
Samur, Jorge D. On some limit theorems for continued fractions. (English) Zbl 0676.60015 Trans. Am. Math. Soc. 316, No. 1, 53-79 (1989). Reviewer: R.J.Tomkins MSC: 60E05 60F17 11K60 60F05 11K16 60B12 26A12 PDFBibTeX XMLCite \textit{J. D. Samur}, Trans. Am. Math. Soc. 316, No. 1, 53--79 (1989; Zbl 0676.60015) Full Text: DOI
Pourciau, Bruce Global invertibility of nonsmooth mappings. (English) Zbl 0666.49004 J. Math. Anal. Appl. 131, No. 1, 170-179 (1988). MSC: 49J52 26A16 PDFBibTeX XMLCite \textit{B. Pourciau}, J. Math. Anal. Appl. 131, No. 1, 170--179 (1988; Zbl 0666.49004) Full Text: DOI
Amir, D.; Milman, V. D. Unconditional and symmetric sets in \(n\)-dimensional normed spaces. (English) Zbl 0445.46011 Isr. J. Math. 37, 3-20 (1980). MSC: 46B15 26D20 46B25 46B20 PDFBibTeX XMLCite \textit{D. Amir} and \textit{V. D. Milman}, Isr. J. Math. 37, 3--20 (1980; Zbl 0445.46011) Full Text: DOI
Radulescu, Marius; Radulescu, Sorin Global inversion theorems and applications to differential equations. (English) Zbl 0441.46036 Nonlinear Anal., Theory Methods Appl. 4, 951-965 (1980). MSC: 46G05 58C20 47E05 34G20 26B10 PDFBibTeX XMLCite \textit{M. Radulescu} and \textit{S. Radulescu}, Nonlinear Anal., Theory Methods Appl. 4, 951--965 (1980; Zbl 0441.46036) Full Text: DOI
Andersen, Kenneth F. Inequalities for scalar-valued linear operators that extend to their vector-valued analogues. (English) Zbl 0438.46026 J. Math. Anal. Appl. 77, 264-269 (1980). MSC: 46E35 46E40 26D15 PDFBibTeX XMLCite \textit{K. F. Andersen}, J. Math. Anal. Appl. 77, 264--269 (1980; Zbl 0438.46026) Full Text: DOI
Cochran, James A. Towards a Wiener-Levy theorem for nuclear operators. (English) Zbl 0331.42004 J. Anal. Math. 30, 131-140 (1976). MSC: 42A20 26A15 47B10 47A10 45H05 PDFBibTeX XMLCite \textit{J. A. Cochran}, J. Anal. Math. 30, 131--140 (1976; Zbl 0331.42004) Full Text: DOI
Taylor, Angus E. The differential: Nineteenth and twentieth century developments. (English) Zbl 0289.01015 Arch. Hist. Exact Sci. 12, 355-383 (1974). MSC: 01A55 01A60 26-03 PDFBibTeX XMLCite \textit{A. E. Taylor}, Arch. Hist. Exact Sci. 12, 355--383 (1974; Zbl 0289.01015) Full Text: DOI
Szekeres, George Regular iteration of real and complex functions. (English) Zbl 0145.07903 Acta Math. 100, 203-258 (1958). MSC: 30D05 26A18 PDFBibTeX XMLCite \textit{G. Szekeres}, Acta Math. 100, 203--258 (1958; Zbl 0145.07903) Full Text: DOI