Gu, Qingsong; Lau, Ka-Sing; Qiu, Hua Homogeneous Dirichlet forms on p.c.f. fractals and their spectral asymptotics. (English) Zbl 07798450 Potential Anal. 60, No. 1, 219-252 (2024). MSC: 28A80 31E05 PDFBibTeX XMLCite \textit{Q. Gu} et al., Potential Anal. 60, No. 1, 219--252 (2024; Zbl 07798450) Full Text: DOI
Chong, Carsten; Kevei, Péter A landscape of peaks: the intermittency islands of the stochastic heat equation with Lévy noise. (English) Zbl 1518.60056 Ann. Probab. 51, No. 4, 1449-1501 (2023). MSC: 60H15 35K05 35R60 28A78 28A80 60F15 60G51 60G70 PDFBibTeX XMLCite \textit{C. Chong} and \textit{P. Kevei}, Ann. Probab. 51, No. 4, 1449--1501 (2023; Zbl 1518.60056) Full Text: DOI arXiv
Assiotis, Theodoros; Keating, Jonathan P.; Warren, Jon On the joint moments of the characteristic polynomials of random unitary matrices. (English) Zbl 1509.15022 Int. Math. Res. Not. 2022, No. 18, 14564-14603 (2022). MSC: 15B52 60B20 37J65 28A50 PDFBibTeX XMLCite \textit{T. Assiotis} et al., Int. Math. Res. Not. 2022, No. 18, 14564--14603 (2022; Zbl 1509.15022) Full Text: DOI arXiv
Kesseböhmer, Marc; Niemann, Aljoscha Approximation order of Kolmogorov diameters via \(L^q\)-spectra and applications to polyharmonic operators. (English) Zbl 1512.46024 J. Funct. Anal. 283, No. 7, Article ID 109598, 22 p. (2022). MSC: 46E35 41A46 35P20 42B35 31B30 28A80 PDFBibTeX XMLCite \textit{M. Kesseböhmer} and \textit{A. Niemann}, J. Funct. Anal. 283, No. 7, Article ID 109598, 22 p. (2022; Zbl 1512.46024) Full Text: DOI arXiv
Kesseböhmer, Marc; Niemann, Aljoscha Spectral asymptotics of Kreĭn-Feller operators for weak Gibbs measures on self-conformal fractals with overlaps. (English) Zbl 1490.35240 Adv. Math. 403, Article ID 108384, 33 p. (2022). MSC: 35P20 35J05 28A80 42B35 45D05 PDFBibTeX XMLCite \textit{M. Kesseböhmer} and \textit{A. Niemann}, Adv. Math. 403, Article ID 108384, 33 p. (2022; Zbl 1490.35240) Full Text: DOI arXiv
Kesseböhmer, Marc; Niemann, Aljoscha Spectral dimensions of Kreĭn-Feller operators and \(L^q\)-spectra. (English) Zbl 07496418 Adv. Math. 399, Article ID 108253, 53 p. (2022). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 47F05 35P20 35J05 28A80 42B35 45D05 PDFBibTeX XMLCite \textit{M. Kesseböhmer} and \textit{A. Niemann}, Adv. Math. 399, Article ID 108253, 53 p. (2022; Zbl 07496418) Full Text: DOI arXiv
Kajino, Naotaka The Laplacian on some self-conformal fractals and Weyl’s asymptotics for its eigenvalues: a survey of the analytic aspects. (English) Zbl 1486.35315 Inahama, Yuzuru (ed.) et al., Stochastic analysis, random fields and integrable probability – Fukuoka 2019. Proceedings of the 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Kyushu University, Japan, 31 July – 9 August 2019. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 87, 293-315 (2021). MSC: 35P20 28A80 31C25 37B10 53C23 60J35 PDFBibTeX XMLCite \textit{N. Kajino}, Adv. Stud. Pure Math. 87, 293--315 (2021; Zbl 1486.35315) Full Text: DOI arXiv
Maier, Helmut; Rassias, Michael Th. Cotangent sums related to the Riemann hypothesis for various shifts of the argument. (English) Zbl 1448.33002 Can. Math. Bull. 63, No. 3, 522-535 (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33B10 11M06 28A25 41A60 60E10 PDFBibTeX XMLCite \textit{H. Maier} and \textit{M. Th. Rassias}, Can. Math. Bull. 63, No. 3, 522--535 (2020; Zbl 1448.33002) Full Text: DOI arXiv
Miller, Chris; Speissegger, Patrick Expansions of the real field by canonical products. (English) Zbl 1481.03024 Can. Math. Bull. 63, No. 3, 506-521 (2020). Reviewer: Fujita Masato (Kure) MSC: 03C64 28A05 26E05 PDFBibTeX XMLCite \textit{C. Miller} and \textit{P. Speissegger}, Can. Math. Bull. 63, No. 3, 506--521 (2020; Zbl 1481.03024) Full Text: DOI arXiv
Omey, Edward; Cadena, Meitner New results on slowly varying functions in the Zygmund sense. (English) Zbl 1443.26002 Proc. Japan Acad., Ser. A 96, No. 6, 45-49 (2020). Reviewer: İbrahim Çanak (İzmir) MSC: 26A12 28A10 45M05 60G70 PDFBibTeX XMLCite \textit{E. Omey} and \textit{M. Cadena}, Proc. Japan Acad., Ser. A 96, No. 6, 45--49 (2020; Zbl 1443.26002) Full Text: DOI Euclid
Strichartz, Robert S. Defining curvature as a measure via Gauss-Bonnet on certain singular surfaces. (English) Zbl 1443.53006 J. Geom. Anal. 30, No. 1, 153-160 (2020). MSC: 53A05 28A99 PDFBibTeX XMLCite \textit{R. S. Strichartz}, J. Geom. Anal. 30, No. 1, 153--160 (2020; Zbl 1443.53006) Full Text: DOI arXiv
Minorics, Lenon Alexander Spectral asymptotics for Krein-Feller operators with respect to \(\mathrm{V} \)-variable Cantor measures. (English) Zbl 1435.28013 Forum Math. 32, No. 1, 121-138 (2020). MSC: 28A80 PDFBibTeX XMLCite \textit{L. A. Minorics}, Forum Math. 32, No. 1, 121--138 (2020; Zbl 1435.28013) Full Text: DOI arXiv
Eichinger, Tobias; Winter, Steffen Regularly varying functions, generalized contents, and the spectrum of fractal strings. (English) Zbl 1423.35282 Niemeyer, Robert G. (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 731, 63-94 (2019). MSC: 35P20 28A80 PDFBibTeX XMLCite \textit{T. Eichinger} and \textit{S. Winter}, Contemp. Math. 731, 63--94 (2019; Zbl 1423.35282) Full Text: DOI arXiv
Pinasco, Juan Pablo; Scarola, Cristian Eigenvalue bounds and spectral asymptotics for fractal Laplacians. (English) Zbl 1431.34090 J. Fractal Geom. 6, No. 2, 109-126 (2019). Reviewer: Smail Djebali (Algiers) MSC: 34L15 28A25 34B15 34B09 PDFBibTeX XMLCite \textit{J. P. Pinasco} and \textit{C. Scarola}, J. Fractal Geom. 6, No. 2, 109--126 (2019; Zbl 1431.34090) Full Text: DOI
Capitanelli, Raffaela; Pocci, Cristina Periodic homogenization for quasi-filling fractal layers. (English) Zbl 1404.35022 Commun. Contemp. Math. 20, No. 8, Article ID 1750088, 26 p. (2018). MSC: 35B27 35J25 28A80 PDFBibTeX XMLCite \textit{R. Capitanelli} and \textit{C. Pocci}, Commun. Contemp. Math. 20, No. 8, Article ID 1750088, 26 p. (2018; Zbl 1404.35022) Full Text: DOI
Post, Olaf; Rückriemen, Ralf Locality of the heat kernel on metric measure spaces. (English) Zbl 1466.35238 Complex Anal. Oper. Theory 12, No. 3, 729-766 (2018). MSC: 35K08 58J65 28C20 PDFBibTeX XMLCite \textit{O. Post} and \textit{R. Rückriemen}, Complex Anal. Oper. Theory 12, No. 3, 729--766 (2018; Zbl 1466.35238) Full Text: DOI arXiv
Freiberg, U.; Hambly, B. M.; Hutchinson, John E. Spectral asymptotics for \(V\)-variable Sierpinski gaskets. (English. French summary) Zbl 1387.35434 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 4, 2162-2213 (2017). MSC: 35P20 28A80 31C25 35K08 60J60 PDFBibTeX XMLCite \textit{U. Freiberg} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 4, 2162--2213 (2017; Zbl 1387.35434) Full Text: DOI arXiv Euclid
Capitanelli, Raffaela; Pocci, Cristina On the effective interfacial resistance through quasi-filling fractal layers. (English) Zbl 1380.35114 Chaos Solitons Fractals 105, 43-50 (2017). MSC: 35K05 35R05 28A80 PDFBibTeX XMLCite \textit{R. Capitanelli} and \textit{C. Pocci}, Chaos Solitons Fractals 105, 43--50 (2017; Zbl 1380.35114) Full Text: DOI
Barbarino, Giovanni; Garoni, Carlo From convergence in measure to convergence of matrix-sequences through concave functions and singular values. (English) Zbl 1386.15023 Electron. J. Linear Algebra 32, 500-513 (2017). MSC: 15A18 28A20 15A60 15B05 26A51 PDFBibTeX XMLCite \textit{G. Barbarino} and \textit{C. Garoni}, Electron. J. Linear Algebra 32, 500--513 (2017; Zbl 1386.15023) Full Text: DOI Link
Alonso Ruiz, Patricia; Freiberg, Uta R. Weyl asymptotics for Hanoi attractors. (English) Zbl 1373.28006 Forum Math. 29, No. 5, 1003-1021 (2017). MSC: 28A80 31C25 PDFBibTeX XMLCite \textit{P. Alonso Ruiz} and \textit{U. R. Freiberg}, Forum Math. 29, No. 5, 1003--1021 (2017; Zbl 1373.28006) Full Text: DOI arXiv
Garoni, Carlo Topological foundations of an asymptotic approximation theory for sequences of matrices with increasing size. (English) Zbl 1368.15008 Linear Algebra Appl. 513, 324-341 (2017). MSC: 15A18 47A58 54E25 28A20 PDFBibTeX XMLCite \textit{C. Garoni}, Linear Algebra Appl. 513, 324--341 (2017; Zbl 1368.15008) Full Text: DOI
Bufetov, Aleksandr I. Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. III: The infinite Bessel process as the limit of the radial parts of finite-dimensional projections of infinite Pickrell measures. (English. Russian original) Zbl 1361.22006 Izv. Math. 80, No. 6, 1035-1056 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 43-64 (2016). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 22D40 28C10 28D15 43A05 60B15 60G55 PDFBibTeX XMLCite \textit{A. I. Bufetov}, Izv. Math. 80, No. 6, 1035--1056 (2016; Zbl 1361.22006); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 43--64 (2016) Full Text: DOI arXiv
Dolbeault, Jean; Toscani, Giuseppe Best matching Barenblatt profiles are delayed. (English) Zbl 1311.35132 J. Phys. A, Math. Theor. 48, No. 6, Article ID 065206, 14 p. (2015). MSC: 35K65 05C70 28D20 60G18 35C06 PDFBibTeX XMLCite \textit{J. Dolbeault} and \textit{G. Toscani}, J. Phys. A, Math. Theor. 48, No. 6, Article ID 065206, 14 p. (2015; Zbl 1311.35132) Full Text: DOI arXiv
Dipierro, Serena Asymptotics of fractional perimeter functionals and related problems. (English) Zbl 1361.49017 Rend. Semin. Mat., Univ. Politec. Torino 72, No. 1-2, 3-16 (2014). MSC: 49Q05 28A75 49Q20 60G22 PDFBibTeX XMLCite \textit{S. Dipierro}, Rend. Semin. Mat., Univ. Politec. Torino 72, No. 1--2, 3--16 (2014; Zbl 1361.49017)
Kajino, Naotaka Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals. (English) Zbl 1325.28009 Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics II: Fractals in applied mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9148-3/pbk; 978-1-4704-1083-4/ebook). Contemporary Mathematics 601, 165-194 (2013). MSC: 28A80 60J35 31C25 37B10 PDFBibTeX XMLCite \textit{N. Kajino}, Contemp. Math. 601, 165--194 (2013; Zbl 1325.28009) Full Text: DOI
Kajino, Naotaka Analysis and geometry of the measurable Riemannian structure on the Sierpiński gasket. (English) Zbl 1325.28001 Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics I: Fractals in pure mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9147-6/pbk; 978-1-4704-1082-7/ebook). Contemporary Mathematics 600, 91-133 (2013). MSC: 28-02 28A80 35P20 37B10 53C23 31C25 60J35 PDFBibTeX XMLCite \textit{N. Kajino}, Contemp. Math. 600, 91--133 (2013; Zbl 1325.28001) Full Text: DOI
Dyatlov, Semyon; Guillarmou, Colin Scattering phase asymptotics with fractal remainders. (English) Zbl 1318.58016 Commun. Math. Phys. 324, No. 2, 425-444 (2013). Reviewer: Paolo Giulietti (Porto Alegre) MSC: 58J50 53D25 47A40 28A80 58J37 PDFBibTeX XMLCite \textit{S. Dyatlov} and \textit{C. Guillarmou}, Commun. Math. Phys. 324, No. 2, 425--444 (2013; Zbl 1318.58016) Full Text: DOI arXiv
Kajino, Naotaka On-diagonal oscillation of the heat kernels on post-critically finite self-similar fractals. (English) Zbl 1277.28011 Probab. Theory Relat. Fields 156, No. 1-2, 51-74 (2013). Reviewer: Zu-Guo Yu (Xiangtan) MSC: 28A80 60J35 31C25 58C40 PDFBibTeX XMLCite \textit{N. Kajino}, Probab. Theory Relat. Fields 156, No. 1--2, 51--74 (2013; Zbl 1277.28011) Full Text: DOI
Strichartz, Robert S. Exact spectral asymptotics on the Sierpinski gasket. (English) Zbl 1284.28005 Proc. Am. Math. Soc. 140, No. 5, 1749-1755 (2012). Reviewer: Boris A. Kats (Kazan) MSC: 28A80 PDFBibTeX XMLCite \textit{R. S. Strichartz}, Proc. Am. Math. Soc. 140, No. 5, 1749--1755 (2012; Zbl 1284.28005) Full Text: DOI arXiv
Wong, Manwah Lilian Point mass insertion on the real line and non-exponential perturbation of the recursion coefficients. (English) Zbl 1235.28003 Math. Nachr. 285, No. 2-3, 377-388 (2012). MSC: 28A35 42C05 PDFBibTeX XMLCite \textit{M. L. Wong}, Math. Nachr. 285, No. 2--3, 377--388 (2012; Zbl 1235.28003) Full Text: DOI arXiv
Gerlach, Moritz; Nittka, Robin A new proof of Doob’s theorem. (English) Zbl 1251.47039 J. Math. Anal. Appl. 388, No. 2, 763-774 (2012). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 47D06 60J35 60B15 28B10 PDFBibTeX XMLCite \textit{M. Gerlach} and \textit{R. Nittka}, J. Math. Anal. Appl. 388, No. 2, 763--774 (2012; Zbl 1251.47039) Full Text: DOI arXiv
Butterfield, J. Less is different: emergence and reduction reconciled. (English) Zbl 1226.00034 Found. Phys. 41, No. 6, 1065-1135 (2011). MSC: 00A79 81P05 28A80 81T05 81T27 82B26 82B30 00A30 00A35 PDFBibTeX XMLCite \textit{J. Butterfield}, Found. Phys. 41, No. 6, 1065--1135 (2011; Zbl 1226.00034) Full Text: DOI arXiv
Levin, Eli; Lubinsky, Doron S. Universality limits at the soft edge of the spectrum via classical complex analysis. (English) Zbl 1235.42023 Int. Math. Res. Not. 2011, No. 13, 3006-3070 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 28A25 33C10 33C45 PDFBibTeX XMLCite \textit{E. Levin} and \textit{D. S. Lubinsky}, Int. Math. Res. Not. 2011, No. 13, 3006--3070 (2011; Zbl 1235.42023) Full Text: DOI Link
Capitanelli, Raffaela; Vivaldi, Maria Agostina Insulating layers and Robin problems on Koch mixtures. (English) Zbl 1225.28006 J. Differ. Equations 251, No. 4-5, 1332-1353 (2011). MSC: 28A80 35J93 PDFBibTeX XMLCite \textit{R. Capitanelli} and \textit{M. A. Vivaldi}, J. Differ. Equations 251, No. 4--5, 1332--1353 (2011; Zbl 1225.28006) Full Text: DOI
Zakharyuta, Vyacheslav On asymptotics of entropy of a class of analytic functions. (English) Zbl 1218.28010 Funct. Approximatio, Comment. Math. 44, No. 2, 307-315 (2011). MSC: 28D20 32U20 32U35 47B06 PDFBibTeX XMLCite \textit{V. Zakharyuta}, Funct. Approximatio, Comment. Math. 44, No. 2, 307--315 (2011; Zbl 1218.28010) Full Text: DOI Euclid
Freiberg, Uta Refinement of the spectral asymptotics of generalized Kreĭn Feller operators. (English) Zbl 1211.35211 Forum Math. 23, No. 2, 427-445 (2011). MSC: 35P20 26A30 28A80 34B24 60K05 35J92 35J25 PDFBibTeX XMLCite \textit{U. Freiberg}, Forum Math. 23, No. 2, 427--445 (2011; Zbl 1211.35211) Full Text: DOI
Croydon, David A.; Hambly, Benjamin M. Spectral asymptotics for stable trees. (English) Zbl 1236.60082 Electron. J. Probab. 15, Paper No. 57, 1772-1801 (2010). Reviewer: Alexander I. Zejfman (Vologda) MSC: 60J80 35P20 28A80 60J35 PDFBibTeX XMLCite \textit{D. A. Croydon} and \textit{B. M. Hambly}, Electron. J. Probab. 15, Paper No. 57, 1772--1801 (2010; Zbl 1236.60082) Full Text: DOI arXiv EMIS
Bonder, Julián Fernández; Pinasco, Juan Pablo; Salort, Ariel M. Refined asymptotics for eigenvalues on domains of infinite measure. (English) Zbl 1204.34115 J. Math. Anal. Appl. 371, No. 1, 41-56 (2010). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L20 34L30 35P20 28A80 PDFBibTeX XMLCite \textit{J. F. Bonder} et al., J. Math. Anal. Appl. 371, No. 1, 41--56 (2010; Zbl 1204.34115) Full Text: DOI arXiv Link
Mosco, Umberto; Vivaldi, Maria Agostina Vanishing viscosity for fractal sets. (English) Zbl 1195.35293 Discrete Contin. Dyn. Syst. 28, No. 3, 1207-1235 (2010). MSC: 35R05 35P20 47F05 28A80 74K05 74K15 74A40 35A15 74Q99 PDFBibTeX XMLCite \textit{U. Mosco} and \textit{M. A. Vivaldi}, Discrete Contin. Dyn. Syst. 28, No. 3, 1207--1235 (2010; Zbl 1195.35293) Full Text: DOI
Albeverio, Sergio; Mazzucchi, Sonia Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup. (English) Zbl 1208.28009 Dai, Xianzhe (ed.) et al., From probability to geometry I. Volume in honor of the 60th birthday of Jean-Michel Bismut. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-288-4/pbk). Astérisque 327, 17-45 (2009). Reviewer: Sobhakar Ganguly (Kolkata) MSC: 28C20 34E05 35K05 35C15 35C20 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S. Mazzucchi}, Astérisque 327, 17--45 (2009; Zbl 1208.28009) Full Text: arXiv Link
Mörters, Peter; Shieh, Narn-Rueih The exact packing measure of Brownian double points. (English) Zbl 1160.60025 Probab. Theory Relat. Fields 143, No. 1-2, 113-136 (2009). Reviewer: Victoria Knopova (Kiev) MSC: 60J65 60G17 60J55 28A78 PDFBibTeX XMLCite \textit{P. Mörters} and \textit{N.-R. Shieh}, Probab. Theory Relat. Fields 143, No. 1--2, 113--136 (2009; Zbl 1160.60025) Full Text: DOI
Croydon, David; Hambly, Ben Self-similarity and spectral asymptotics for the continuum random tree. (English) Zbl 1143.60012 Stochastic Processes Appl. 118, No. 5, 730-754 (2008). Reviewer: Wiesław Dziubdziela (Kielce) MSC: 60D05 60J35 35P20 28A80 31C25 PDFBibTeX XMLCite \textit{D. Croydon} and \textit{B. Hambly}, Stochastic Processes Appl. 118, No. 5, 730--754 (2008; Zbl 1143.60012) Full Text: DOI arXiv
Elezović, Neven; Županović, Vesna; Žubrinić, Darko Box dimension of trajectories of some discrete dynamical systems. (English) Zbl 1133.37007 Chaos Solitons Fractals 34, No. 2, 244-252 (2007). MSC: 37C45 28A80 37E05 37G99 PDFBibTeX XMLCite \textit{N. Elezović} et al., Chaos Solitons Fractals 34, No. 2, 244--252 (2007; Zbl 1133.37007) Full Text: DOI arXiv
Lasota, Andrzej; Traple, Janusz Properties of stationary solutions of a generalized Tjon-Wu equation. (English) Zbl 1125.45010 J. Math. Anal. Appl. 335, No. 1, 669-682 (2007). Reviewer: Mohamed O. El-Doma (Beirut) MSC: 45K05 28C10 60A10 60E10 45M05 45M10 45G10 PDFBibTeX XMLCite \textit{A. Lasota} and \textit{J. Traple}, J. Math. Anal. Appl. 335, No. 1, 669--682 (2007; Zbl 1125.45010) Full Text: DOI
Thaler, M.; Zweimüller, R. Distributional limit theorems in infinite ergodic theory. (English) Zbl 1085.37005 Probab. Theory Relat. Fields 135, No. 1, 15-52 (2006). MSC: 37A40 60F05 28D05 37C30 PDFBibTeX XMLCite \textit{M. Thaler} and \textit{R. Zweimüller}, Probab. Theory Relat. Fields 135, No. 1, 15--52 (2006; Zbl 1085.37005) Full Text: DOI
Albeverio, S.; Mazzucchi, S. Generalized Fresnel integrals. (English) Zbl 1096.28010 Bull. Sci. Math. 129, No. 1, 1-23 (2005). Reviewer: Sergey Lüdkovsky (Moskva) MSC: 28C20 35S30 44A15 81S40 58J37 28C05 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{S. Mazzucchi}, Bull. Sci. Math. 129, No. 1, 1--23 (2005; Zbl 1096.28010) Full Text: DOI
Chaumoître, Vincent; Kupsa, Michal Asymptotics for return times of rank-one systems. (English) Zbl 1137.37300 Stoch. Dyn. 5, No. 1, 65-73 (2005). MSC: 37A05 28D05 37A25 60F05 PDFBibTeX XMLCite \textit{V. Chaumoître} and \textit{M. Kupsa}, Stoch. Dyn. 5, No. 1, 65--73 (2005; Zbl 1137.37300) Full Text: DOI
Hambly, B. M.; Nyberg, S. O. G. Finitely ramified graph-directed fractals, spectral asymptotics and the multidimensional renewal theorem. (English) Zbl 1038.35046 Proc. Edinb. Math. Soc., II. Ser. 46, No. 1, 1-34 (2003). Reviewer: Georgi E. Karadzhov (Sofia) MSC: 35P20 58J50 28A80 60K05 31C25 PDFBibTeX XMLCite \textit{B. M. Hambly} and \textit{S. O. G. Nyberg}, Proc. Edinb. Math. Soc., II. Ser. 46, No. 1, 1--34 (2003; Zbl 1038.35046) Full Text: DOI
Freiberg, U.; Zähle, M. Harmonic calculus on fractals – a measure geometric approach. I. (English) Zbl 1055.28002 Potential Anal. 16, No. 3, 265-277 (2002). Reviewer: Volker Metz (Bielefeld) MSC: 28A75 28A80 35P20 PDFBibTeX XMLCite \textit{U. Freiberg} and \textit{M. Zähle}, Potential Anal. 16, No. 3, 265--277 (2002; Zbl 1055.28002) Full Text: DOI
Duran, A. J.; Lopez-Rodriguez, P.; Saff, E. B. Zero asymptotic behaviour for orthogonal matrix polynomials. (English) Zbl 0945.42013 J. Anal. Math. 78, 37-60 (1999). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 42C05 26C10 28A33 47A56 PDFBibTeX XMLCite \textit{A. J. Duran} et al., J. Anal. Math. 78, 37--60 (1999; Zbl 0945.42013) Full Text: DOI
Aaronson, Jon; Weiss, Benjamin On the asymptotics of a \(1\)-parameter family of infinite measure preserving transformations. (English) Zbl 0981.28012 Bol. Soc. Bras. Mat., Nova Sér. 29, No. 1, 181-193 (1998). MSC: 28D05 37A10 PDFBibTeX XMLCite \textit{J. Aaronson} and \textit{B. Weiss}, Bol. Soc. Bras. Mat., Nova Sér. 29, No. 1, 181--193 (1998; Zbl 0981.28012) Full Text: DOI
Lapidus, Michel L.; Pomerance, Carl Counterexamples to the modified Weyl-Berry conjecture on fractal drums. (English) Zbl 0858.58052 Math. Proc. Camb. Philos. Soc. 119, No. 1, 167-178 (1996). Reviewer: P.Gilkey (Eugene) MSC: 58J50 35P20 28A80 58J37 PDFBibTeX XMLCite \textit{M. L. Lapidus} and \textit{C. Pomerance}, Math. Proc. Camb. Philos. Soc. 119, No. 1, 167--178 (1996; Zbl 0858.58052) Full Text: DOI
Levitin, M.; Vassiliev, D. Some examples of two-term spectral asymptotics for sets with fractal boundary. (English) Zbl 0836.35109 Demuth, M. (ed.) et al., Partial differential operators and mathematical physics. International conference in Holzhau, Germany, July 3-9, 1994. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 78, 227-233 (1995). Reviewer: Ya.A.Rojtberg (Chernigov) MSC: 35P20 35J20 28A80 60K05 PDFBibTeX XMLCite \textit{M. Levitin} and \textit{D. Vassiliev}, in: Partial differential operators and mathematical physics. International conference in Holzhau, Germany, July 3-9, 1994. Basel: Birkhäuser Verlag. 227--233 (1995; Zbl 0836.35109)
van den Berg, M. Heat content asymptotics for some open sets with a fractal boundary. (English) Zbl 0851.35050 Cranston, Michael C. (ed.) et al., Stochastic analysis. Proceedings of the Summer Research Institute on stochastic analysis, held at Cornell University, Ithaca, NY, USA, July 11-30, 1993. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 57, 11-22 (1995). Reviewer: P.Kröger (Erlangen) MSC: 35K20 35K05 28A80 PDFBibTeX XMLCite \textit{M. van den Berg}, Proc. Symp. Pure Math. 57, 11--22 (1995; Zbl 0851.35050)
Guillopé, Laurent Entropies and spectra. (Entropies et spectres.) (French) Zbl 0841.58039 Osaka J. Math. 31, No. 2, 247-289 (1994). Reviewer: M.G.Nerurkar (Camden) MSC: 37A99 28D20 37D99 PDFBibTeX XMLCite \textit{L. Guillopé}, Osaka J. Math. 31, No. 2, 247--289 (1994; Zbl 0841.58039)
Makarov, K. A. Asymptotics of the Fourier transform of self-affine measures. (English. Russian original) Zbl 0856.28004 Russ. Acad. Sci., Dokl., Math. 48, No. 3, 455-460 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 2, 140-143 (1993). Reviewer: H.Haase (Greifswald) MSC: 28A80 42B10 PDFBibTeX XMLCite \textit{K. A. Makarov}, Russ. Acad. Sci., Dokl., Math. 48, No. 3, 1 (1993; Zbl 0856.28004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 2, 140--143 (1993)
Lapidus, Michel L.; Pomerance, Carl The Riemann zeta-function and the one-dimensional Weyl-Berry conjecture for fractal drums. (English) Zbl 0739.34065 Proc. Lond. Math. Soc., III. Ser. 66, No. 1, 41-69 (1993). Reviewer: M.L.Lapidus MSC: 34L20 34B20 28A12 11M06 PDFBibTeX XMLCite \textit{M. L. Lapidus} and \textit{C. Pomerance}, Proc. Lond. Math. Soc. (3) 66, No. 1, 41--69 (1993; Zbl 0739.34065) Full Text: DOI
Sleeman, B. D.; Chen, Hua An analogue of Berry’s conjecture for the phase in fractal obstacle scattering. (English) Zbl 0777.35051 IMA J. Appl. Math. 49, No. 3, 193-202 (1992). Reviewer: T.R.Faulkner (Nottingham) MSC: 35P25 76Q05 28A80 PDFBibTeX XMLCite \textit{B. D. Sleeman} and \textit{H. Chen}, IMA J. Appl. Math. 49, No. 3, 193--202 (1992; Zbl 0777.35051) Full Text: DOI
Strichartz, Robert S. Wavelet expansions of fractal measures. (English) Zbl 0734.28011 J. Geom. Anal. 1, No. 3, 269-289 (1991). Reviewer: H.Haase (Greifswald) MSC: 28A80 42C10 PDFBibTeX XMLCite \textit{R. S. Strichartz}, J. Geom. Anal. 1, No. 3, 269--289 (1991; Zbl 0734.28011) Full Text: DOI
Strichartz, Robert S. Spectral asymptotics of fractal measures on Riemannian manifolds. (English) Zbl 0741.28006 J. Funct. Anal. 102, No. 1, 176-205 (1991). Reviewer: H.Haase (Greifswald) MSC: 28A80 58C35 PDFBibTeX XMLCite \textit{R. S. Strichartz}, J. Funct. Anal. 102, No. 1, 176--205 (1991; Zbl 0741.28006) Full Text: DOI
Lapidus, Michel L. Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture. (English) Zbl 0741.35048 Trans. Am. Math. Soc. 325, No. 2, 465-529 (1991). Reviewer: W.Wendt (München) MSC: 35P20 35J20 47F05 35R30 35J35 28A75 PDFBibTeX XMLCite \textit{M. L. Lapidus}, Trans. Am. Math. Soc. 325, No. 2, 465--529 (1991; Zbl 0741.35048) Full Text: DOI
Watanabe, Shinzo Analysis of Wiener functionals (Malliavin calculus) and its applications to heat kernels. (English) Zbl 0633.60077 Ann. Probab. 15, 1-39 (1987). Reviewer: S.Kusuoka MSC: 60H07 60H10 28C20 35K05 58J65 PDFBibTeX XMLCite \textit{S. Watanabe}, Ann. Probab. 15, 1--39 (1987; Zbl 0633.60077) Full Text: DOI
Warner, Garth Noninvariant integrals on semisimple groups of \(\mathbb R\)-rank one. (English) Zbl 0578.22008 J. Funct. Anal. 64, 19-111 (1985). Reviewer: I. V. Chekalov (Minsk) MSC: 22E20 43A30 28C10 PDFBibTeX XMLCite \textit{G. Warner}, J. Funct. Anal. 64, 19--111 (1985; Zbl 0578.22008) Full Text: DOI
Zaslavskij, A. Ya. Measures that are invariant under transformations of metric compact spaces. (English. Russian original) Zbl 0554.28015 Sib. Math. J. 25, 264-273 (1984); translation from Sib. Mat. Zh. 25, No. 2 (144), 121-131 (1984). Reviewer: V.V.Peller MSC: 28D05 28B20 54H20 PDFBibTeX XMLCite \textit{A. Ya. Zaslavskij}, Sib. Math. J. 25, 264--273 (1984; Zbl 0554.28015); translation from Sib. Mat. Zh. 25, No. 2 (144), 121--131 (1984) Full Text: DOI
Popov, Viktor Nikolayevich Functional integrals in quantum field theory and statistical physics. Transl. from the Russian by J. Niederle and L. Hlavaty. (English) Zbl 0518.28010 Mathematical Physics and Applied Mathematics, Vol. 8. Dordrecht-Boston-Lancaster: D. Reidel Publishing Company, A Member of the Kluwer Academic Publishers Group. VIII, 299 p. Dfl. 150.00; $ 65.00 (1983). Reviewer: N. Angelescu MSC: 81S40 81-02 28C20 46G12 58D30 82D05 82D55 82D50 PDFBibTeX XML
Maslov, V. P.; Chebotarev, A. M. Path integral over branching paths. (English. Russian original) Zbl 0476.28007 Theor. Math. Phys. 45, 1058-1069 (1981); translation from Teor. Mat. Fiz. 45, 329-345 (1981). MSC: 28C20 81S40 81Q05 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{A. M. Chebotarev}, Theor. Math. Phys. 45, 1058--1069 (1981; Zbl 0476.28007); translation from Teor. Mat. Fiz. 45, 329--345 (1981) Full Text: DOI
Sytaya, G. N. The question on asymptotics of Wiener measure for small spheres in the uniform metric. (Russian) Zbl 0428.28009 Analytical Methods in Probability Theory, Collect. Sci. Works, Kiev 1979, 95-98 (1979). MSC: 28C20 PDFBibTeX XML
Sytaya, G. N. On the asymptotics of the Wiener measure of small spheres. (English) Zbl 0433.28013 Theory Probab. Math. Stat. 16, 131-144 (1978). MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{G. N. Sytaya}, Theory Probab. Math. Stat. 16, 131--144 (1978; Zbl 0433.28013)
Sytaja, G. N. On asymptotics of the Wiener measure of small spheres. (Russian) Zbl 0404.28013 Teor. Veroyatn. Mat. Stat. 16, 121-135 (1977). MSC: 28C20 60J65 PDFBibTeX XML
Sell, G. R. Functional analysis in the study of differential and integral equations. (English) Zbl 0343.34039 Control Theory Top. Funct. Anal., Vol. II, Lect. int. Semin. Course, Trieste 1974, 201-217 (1976). MSC: 37-XX 34G99 45M05 28D05 47D03 PDFBibTeX XML
Bogdanov, Yu. S. Application of recurrent limiting sets in asymptotical investigations of perturbed systems. (Russian) Zbl 0281.34040 Kacestv. Met. Teor. nelin. Koleb. 2, Trudy 5 mezdunarod. Konf. 1969, 102-107 (1970). MSC: 37-XX 28D05 34E10 PDFBibTeX XML