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
Bezrodnykh, S. I.; Vlasov, V. I. Analysis of defects and harmonic grid generation in domains with angles and cutouts. (English. Russian original) Zbl 07800805 Comput. Math. Math. Phys. 63, No. 12, 2402-2434 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 12, 2096-2129 (2023). MSC: 65-XX 31-XX PDFBibTeX XMLCite \textit{S. I. Bezrodnykh} and \textit{V. I. Vlasov}, Comput. Math. Math. Phys. 63, No. 12, 2402--2434 (2023; Zbl 07800805); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 12, 2096--2129 (2023) Full Text: DOI
Keller, Matthias; Lemm, Marius Optimal Hardy weights on the Euclidean lattice. (English) Zbl 1521.35176 Trans. Am. Math. Soc. 376, No. 9, 6033-6062 (2023). MSC: 35R02 35J10 31C20 35B27 35R60 PDFBibTeX XMLCite \textit{M. Keller} and \textit{M. Lemm}, Trans. Am. Math. Soc. 376, No. 9, 6033--6062 (2023; Zbl 1521.35176) Full Text: DOI arXiv
Boltaev, A. T.; Almuratov, F. M. The existence and asymptotics of eigenvalues of Schrödinger operator on two dimensional lattices. (English) Zbl 1521.81090 Lobachevskii J. Math. 43, No. 12, 3460-3470 (2022). MSC: 81Q35 31A15 81Q05 35P15 35P20 46H05 PDFBibTeX XMLCite \textit{A. T. Boltaev} and \textit{F. M. Almuratov}, Lobachevskii J. Math. 43, No. 12, 3460--3470 (2022; Zbl 1521.81090) Full Text: DOI
Kim, Daehong; Matsuura, Masakuni Scattering lengths for additive functionals and their semi-classical asymptotics. (English) Zbl 1497.60108 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, 253-278 (2022). MSC: 60J45 31C15 34L25 PDFBibTeX XMLCite \textit{D. Kim} and \textit{M. Matsuura}, Springer Proc. Math. Stat. 394, 253--278 (2022; Zbl 1497.60108) Full Text: DOI
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
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
Lagacé, Jean; St-Amant, Simon Spectral invariants of Dirichlet-to-Neumann operators on surfaces. (English) Zbl 1490.35241 J. Spectr. Theory 11, No. 4, 1627-1667 (2021). Reviewer: Davide Buoso (Alessandria) MSC: 35P20 31A25 35J25 35R01 58J40 PDFBibTeX XMLCite \textit{J. Lagacé} and \textit{S. St-Amant}, J. Spectr. Theory 11, No. 4, 1627--1667 (2021; Zbl 1490.35241) Full Text: DOI arXiv
Kim, Daehong; Matsuura, Masakuni Semi-classical asymptotics for scattering length of symmetric stable processes. (English) Zbl 1455.60105 Stat. Probab. Lett. 167, Article ID 108921, 7 p. (2020). MSC: 60J45 31C15 34L25 PDFBibTeX XMLCite \textit{D. Kim} and \textit{M. Matsuura}, Stat. Probab. Lett. 167, Article ID 108921, 7 p. (2020; Zbl 1455.60105) Full Text: DOI
Abatangelo, Laura; Felli, Veronica; Noris, Benedetta On simple eigenvalues of the fractional Laplacian under removal of small fractional capacity sets. (English) Zbl 1456.31007 Commun. Contemp. Math. 22, No. 8, Article ID 1950071, 32 p. (2020). Reviewer: Dian K. Palagachev (Bari) MSC: 31C15 35P20 35R11 PDFBibTeX XMLCite \textit{L. Abatangelo} et al., Commun. Contemp. Math. 22, No. 8, Article ID 1950071, 32 p. (2020; Zbl 1456.31007) Full Text: DOI arXiv
Levenberg, N.; Wielonsky, F. Zeros of Faber polynomials for Joukowski airfoils. (English) Zbl 1451.30017 Constr. Approx. 52, No. 1, 93-114 (2020). Reviewer: Olga M. Katkova (Boston) MSC: 30C15 30C20 30C10 31A15 PDFBibTeX XMLCite \textit{N. Levenberg} and \textit{F. Wielonsky}, Constr. Approx. 52, No. 1, 93--114 (2020; Zbl 1451.30017) Full Text: DOI arXiv
Hedenmalm, Haakan; Wennman, Aron Off-spectral analysis of Bergman kernels. (English) Zbl 1473.30033 Commun. Math. Phys. 373, No. 3, 1049-1083 (2020). Reviewer: Alan A. Sola (Stockholm) MSC: 30H20 31A15 46E22 PDFBibTeX XMLCite \textit{H. Hedenmalm} and \textit{A. Wennman}, Commun. Math. Phys. 373, No. 3, 1049--1083 (2020; Zbl 1473.30033) Full Text: DOI arXiv
Abatangelo, Laura; Felli, Veronica; Hillairet, Luc; Léna, Corentin Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators. (English) Zbl 1419.35143 J. Spectr. Theory 9, No. 2, 379-427 (2019). Reviewer: Rodica Luca (Iaşi) MSC: 35P20 31C15 35P15 PDFBibTeX XMLCite \textit{L. Abatangelo} et al., J. Spectr. Theory 9, No. 2, 379--427 (2019; Zbl 1419.35143) Full Text: DOI arXiv
Martínez-Finkelshtein, Andrei; Silva, Guilherme L. F. Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight. (English) Zbl 1417.42027 Adv. Math. 349, 246-315 (2019). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 30C70 30E10 30F30 31A15 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{G. L. F. Silva}, Adv. Math. 349, 246--315 (2019; Zbl 1417.42027) Full Text: DOI arXiv
Bezrodnykh, S. I.; Vlasov, V. I. Singular behavior of harmonic maps near corners. (English) Zbl 1417.31001 Complex Var. Elliptic Equ. 64, No. 5, 838-851 (2019). MSC: 31A05 30C62 35J25 PDFBibTeX XMLCite \textit{S. I. Bezrodnykh} and \textit{V. I. Vlasov}, Complex Var. Elliptic Equ. 64, No. 5, 838--851 (2019; Zbl 1417.31001) Full Text: DOI arXiv
Grillo, Gabriele; Muratori, Matteo; Punzo, Fabio The porous medium equation with measure data on negatively curved Riemannian manifolds. (English) Zbl 1400.35153 J. Eur. Math. Soc. (JEMS) 20, No. 11, 2769-2812 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35K15 58J35 31C12 35A01 35A02 31C05 35K59 35R01 35R06 35K65 35Q35 76S05 PDFBibTeX XMLCite \textit{G. Grillo} et al., J. Eur. Math. Soc. (JEMS) 20, No. 11, 2769--2812 (2018; Zbl 1400.35153) Full Text: DOI arXiv
Danka, Tivadar; Totik, Vilmos Christoffel functions with power type weights. (English) Zbl 1390.26025 J. Eur. Math. Soc. (JEMS) 20, No. 3, 747-796 (2018). Reviewer: Devendra Kumar (Al-Baha) MSC: 26C05 31A99 41A10 42C05 PDFBibTeX XMLCite \textit{T. Danka} and \textit{V. Totik}, J. Eur. Math. Soc. (JEMS) 20, No. 3, 747--796 (2018; Zbl 1390.26025) Full Text: DOI arXiv
Hino, Masanori; Matsuura, Kouhei An integrated version of Varadhan’s asymptotics for lower-order perturbations of strong local Dirichlet forms. (English) Zbl 1388.31013 Potential Anal. 48, No. 3, 257-300 (2018). MSC: 31C25 60J60 PDFBibTeX XMLCite \textit{M. Hino} and \textit{K. Matsuura}, Potential Anal. 48, No. 3, 257--300 (2018; Zbl 1388.31013) 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
Aptekarev, A. I.; López Lagomasino, G.; Martínez-Finkelshtein, A. On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials. (English. Russian original) Zbl 1379.42011 Russ. Math. Surv. 72, No. 3, 389-449 (2017); translation from Usp. Mat. Nauk 72, No. 3, 3-64 (2017). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 42C05 31A99 41A21 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Russ. Math. Surv. 72, No. 3, 389--449 (2017; Zbl 1379.42011); translation from Usp. Mat. Nauk 72, No. 3, 3--64 (2017) Full Text: DOI arXiv
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
Lee, Seung-Yeop; Saez, Andres A new lower bound for the maximal valence of harmonic polynomials. (English) Zbl 1362.30005 Comput. Methods Funct. Theory 17, No. 1, 139-149 (2017). MSC: 30C15 31A05 30C10 PDFBibTeX XMLCite \textit{S.-Y. Lee} and \textit{A. Saez}, Comput. Methods Funct. Theory 17, No. 1, 139--149 (2017; Zbl 1362.30005) Full Text: DOI
Martínez-Finkelshtein, Andrei; Rakhmanov, E. A. Do orthogonal polynomials dream of symmetric curves? (English) Zbl 1356.42019 Found. Comput. Math. 16, No. 6, 1697-1736 (2016). MSC: 42C05 26C10 30C25 31A15 41A21 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{E. A. Rakhmanov}, Found. Comput. Math. 16, No. 6, 1697--1736 (2016; Zbl 1356.42019) Full Text: DOI arXiv
Erhard, Dirk; Poisat, Julien Asymptotics of the critical time in Wiener sausage percolation with a small radius. (English) Zbl 1346.60138 ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 1, 417-445 (2016). MSC: 60K35 60F99 60F10 60J65 60G55 60J45 31C15 PDFBibTeX XMLCite \textit{D. Erhard} and \textit{J. Poisat}, ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 1, 417--445 (2016; Zbl 1346.60138) Full Text: arXiv Link
Totik, Vilmos Universality under Szegő’s condition. (English) Zbl 1342.42027 Can. Math. Bull. 59, No. 1, 211-224 (2016). Reviewer: Lotfi Khériji (Tunis) MSC: 42C05 60B20 30C85 31A15 PDFBibTeX XMLCite \textit{V. Totik}, Can. Math. Bull. 59, No. 1, 211--224 (2016; Zbl 1342.42027) Full Text: DOI
Aptekarev, Alexander I.; Yattselev, Maxim L. Padé approximants for functions with branch points – strong asymptotics of Nuttall-Stahl polynomials. (English) Zbl 1339.41020 Acta Math. 215, No. 2, 217-280 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A21 30B40 30C85 31A15 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{M. L. Yattselev}, Acta Math. 215, No. 2, 217--280 (2015; Zbl 1339.41020) Full Text: DOI arXiv
Nevai, Paul; Totik, Vilmos Christoffel functions for weights with jumps. (English) Zbl 1329.42024 Constr. Approx. 42, No. 2, 265-280 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 26C05 31A99 41A10 PDFBibTeX XMLCite \textit{P. Nevai} and \textit{V. Totik}, Constr. Approx. 42, No. 2, 265--280 (2015; Zbl 1329.42024) Full Text: DOI Link
Bekerman, F.; Figalli, A.; Guionnet, A. Transport maps for \(\beta\)-matrix models and universality. (English) Zbl 1330.49046 Commun. Math. Phys. 338, No. 2, 589-619 (2015). Reviewer: Vasile Oproiu (Iaşi) MSC: 49Q20 31B15 60B20 PDFBibTeX XMLCite \textit{F. Bekerman} et al., Commun. Math. Phys. 338, No. 2, 589--619 (2015; Zbl 1330.49046) Full Text: DOI arXiv
Spence, E. A. Bounding acoustic layer potentials via oscillatory integral techniques. (English) Zbl 1316.35099 BIT 55, No. 1, 279-318 (2015). Reviewer: Vladimir Mityushev (Kraków) MSC: 35J05 45M05 31B10 65N38 PDFBibTeX XMLCite \textit{E. A. Spence}, BIT 55, No. 1, 279--318 (2015; Zbl 1316.35099) Full Text: DOI Link
Nikishkin, V. A. On the asymptotics of the solution of the Dirichlet problem for a fourth-order equation in a layer. (Russian, English) Zbl 1313.35088 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 8, 1249- 1255 (2014); translation in Comput. Math. Math. Phys. 54, No. 8, 1214-1220 (2014). MSC: 35J30 31B30 PDFBibTeX XMLCite \textit{V. A. Nikishkin}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 8, 1249- 1255 (2014; Zbl 1313.35088); translation in Comput. Math. Math. Phys. 54, No. 8, 1214--1220 (2014) Full Text: DOI
Ramachandran, Koushik Asymptotic behavior of positive harmonic functions in certain unbounded domains. (English) Zbl 1294.31006 Potential Anal. 41, No. 2, 383-405 (2014). MSC: 31B05 35B40 PDFBibTeX XMLCite \textit{K. Ramachandran}, Potential Anal. 41, No. 2, 383--405 (2014; Zbl 1294.31006) Full Text: DOI arXiv
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
Marín, Ana M.; Ortíz, Rubén D.; Rodriguez Ceballos, Joel A. Asymptotics for Klein-Gordon equation. (English) Zbl 1276.81055 Proyecciones 32, No. 3, 259-265 (2013). MSC: 81Q05 81Q15 31A10 35B40 PDFBibTeX XMLCite \textit{A. M. Marín} et al., Proyecciones 32, No. 3, 259--265 (2013; Zbl 1276.81055) Full Text: DOI Link
Dostanić, Milutin R. Spectral properties of the simple layer potential type operators. (English) Zbl 1278.47027 Rocky Mt. J. Math. 43, No. 3, 855-875 (2013). Reviewer: I. M. Erusalimskiy (Rostov-on-Don) MSC: 47B06 31A10 PDFBibTeX XMLCite \textit{M. R. Dostanić}, Rocky Mt. J. Math. 43, No. 3, 855--875 (2013; Zbl 1278.47027) Full Text: DOI Euclid
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
Brauchart, J. S.; Hardin, D. P.; Saff, E. B. The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere. (English) Zbl 1318.31011 Arvesú, Jorge (ed.) et al., Recent advances in orthogonal polynomials, special functions, and their applications. 11th international symposium, Universidad Carlos III de Madrid, Leganés, Spain, August 29 – September 2, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6896-6/pbk). Contemporary Mathematics 578, 31-61 (2012). MSC: 31C20 52A40 31C15 41A60 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., Contemp. Math. 578, 31--61 (2012; Zbl 1318.31011) Full Text: DOI arXiv
Brauchart, Johann S.; Hardin, Douglas P.; Saff, Edward B. Discrete energy asymptotics on a Riemannian circle. (English) Zbl 1324.31006 Unif. Distrib. Theory 7, No. 2, 77-108 (2012). MSC: 31C45 30C40 30B40 65B15 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., Unif. Distrib. Theory 7, No. 2, 77--108 (2012; Zbl 1324.31006) Full Text: arXiv Link
Marín, Ana Magnolia; Ortíz, Ruben Dario; Caballos, Joel Arturo Rodriguez Asymptotics of the Klein-Gordon equation. (English) Zbl 1262.81049 Far East J. Appl. Math. 70, No. 2, 139-145 (2012). MSC: 81Q05 31A10 34B27 81Q10 PDFBibTeX XMLCite \textit{A. M. Marín} et al., Far East J. Appl. Math. 70, No. 2, 139--145 (2012; Zbl 1262.81049) Full Text: Link
Sinclair, Christopher D.; Yattselev, Maxim L. Universality for ensembles of matrices with potential theoretic weights on domains with smooth boundary. (English) Zbl 1243.15024 J. Approx. Theory 164, No. 5, 682-708 (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 15B52 31B15 62H20 PDFBibTeX XMLCite \textit{C. D. Sinclair} and \textit{M. L. Yattselev}, J. Approx. Theory 164, No. 5, 682--708 (2012; Zbl 1243.15024) Full Text: DOI arXiv
Ockendon, J. R.; Tew, R. H. Thin-layer solutions of the Helmholtz and related equations. (English) Zbl 1237.31004 SIAM Rev. 54, No. 1, 3-51 (2012). MSC: 31A25 34E05 34E10 34E13 34E20 35J25 76R99 78A05 78A40 78A45 PDFBibTeX XMLCite \textit{J. R. Ockendon} and \textit{R. H. Tew}, SIAM Rev. 54, No. 1, 3--51 (2012; Zbl 1237.31004) Full Text: DOI
Baratchart, Laurent; Stahl, Herbert; Yattselev, Maxim Weighted extremal domains and best rational approximation. (English) Zbl 1232.41014 Adv. Math. 229, No. 1, 357-407 (2012). MSC: 41A20 31A15 PDFBibTeX XMLCite \textit{L. Baratchart} et al., Adv. Math. 229, No. 1, 357--407 (2012; Zbl 1232.41014) Full Text: DOI arXiv
Aptekarev, A. I.; Kuijlaars, A. B. J. Hermite-Padé approximations and multiple orthogonal polynomial ensembles. (English. Russian original) Zbl 1243.41004 Russ. Math. Surv. 66, No. 6, 1133-1199 (2011); translation from Usp. Mat. Nauk 66, No. 6, 123-190 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A21 30C15 31A15 42C05 60B20 60G17 60G55 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{A. B. J. Kuijlaars}, Russ. Math. Surv. 66, No. 6, 1133--1199 (2011; Zbl 1243.41004); translation from Usp. Mat. Nauk 66, No. 6, 123--190 (2011) Full Text: DOI
Marín, A. M.; Ortíz, R. D.; Zhevandrov, P. Trapping of water waves by submerged cylinders at high frequencies. (English) Zbl 1276.76013 Far East J. Appl. Math. 54, No. 2, 95-106 (2011). MSC: 76B15 31A05 31A10 PDFBibTeX XMLCite \textit{A. M. Marín} et al., Far East J. Appl. Math. 54, No. 2, 95--106 (2011; Zbl 1276.76013) Full Text: Link
Berglund, N.; Gentz, B. The Eyring-Kramers law for potentials with nonquadratic saddles. (English) Zbl 1234.60076 Markov Process. Relat. Fields 16, No. 3, 549-598 (2010). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 60J05 31C15 60J60 37H10 PDFBibTeX XMLCite \textit{N. Berglund} and \textit{B. Gentz}, Markov Process. Relat. Fields 16, No. 3, 549--598 (2010; Zbl 1234.60076) Full Text: arXiv
Marin, A. M.; Ortiz, R. D.; Rodriguez-Ceballos, J. A. Trapping of water waves by underwater ridges. (English) Zbl 1394.76029 Aust. J. Math. Anal. Appl. 7, No. 2, Article No. 16, 7 p. (2010). MSC: 76B15 31A10 PDFBibTeX XMLCite \textit{A. M. Marin} et al., Aust. J. Math. Anal. Appl. 7, No. 2, Article No. 16, 7 p. (2010; Zbl 1394.76029) Full Text: Link
Zhang, Tusheng White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. (English) Zbl 1196.60121 Potential Anal. 33, No. 2, 137-151 (2010). MSC: 60H15 60J60 31C25 PDFBibTeX XMLCite \textit{T. Zhang}, Potential Anal. 33, No. 2, 137--151 (2010; Zbl 1196.60121) Full Text: DOI
Totik, Vilmos Christoffel functions on curves and domains. (English) Zbl 1189.26028 Trans. Am. Math. Soc. 362, No. 4, 2053-2087 (2010). Reviewer: Jacek Gilewicz (Marseille) MSC: 26C05 31A99 41A10 41A17 PDFBibTeX XMLCite \textit{V. Totik}, Trans. Am. Math. Soc. 362, No. 4, 2053--2087 (2010; Zbl 1189.26028) Full Text: DOI
Maz’ya, Vladimir G.; Soloviev, Alexander A. Shaposhnikova, Tatyana (ed.) Boundary integral equations on contours with peaks. Transl. into English and edited by Tatyana Shaposhnikova. (English) Zbl 1179.45001 Operator Theory: Advances and Applications 196. Basel: Birkhäuser (ISBN 978-3-0346-0170-2/hbk; 978-3-0346-0171-9/ebook). vii, 342 p. (2010). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 45A05 45-02 45M05 65R20 31A10 65N38 45E10 35J05 35C15 74B05 PDFBibTeX XMLCite \textit{V. G. Maz'ya} et al., Boundary integral equations on contours with peaks. Transl. into English and edited by Tatyana Shaposhnikova. Basel: Birkhäuser (2010; Zbl 1179.45001)
Gustafsson, Björn; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction. (English) Zbl 1194.42030 Adv. Math. 222, No. 4, 1405-1460 (2009). MSC: 42C05 32A36 30C40 31A15 94A08 30C70 30E05 65E05 PDFBibTeX XMLCite \textit{B. Gustafsson} et al., Adv. Math. 222, No. 4, 1405--1460 (2009; Zbl 1194.42030) Full Text: DOI arXiv
Krutitskii, P. A. Existence of a classical solution and non-existence of a weak solution to the harmonic Dirichlet problem in a planar domain with cracks. (English) Zbl 1183.35087 Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 647-655 (2009). MSC: 35J05 35J25 31A25 45E05 35C15 35D30 PDFBibTeX XMLCite \textit{P. A. Krutitskii}, in: More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25--30, 2005. Hackensack, NJ: World Scientific. 647--655 (2009; Zbl 1183.35087)
Hitrik, Michael; Sjöstrand, Johannes Non-selfadjoint perturbations of selfadjoint operators in two dimensions IIIa. One branching point. (English) Zbl 1147.31004 Can. J. Math. 60, No. 3, 572-657 (2008). Reviewer: Polina Z. Agranovich (Khar’kov) MSC: 31C10 35P20 35Q40 37J35 37J45 53D22 58J40 PDFBibTeX XMLCite \textit{M. Hitrik} and \textit{J. Sjöstrand}, Can. J. Math. 60, No. 3, 572--657 (2008; Zbl 1147.31004) Full Text: DOI arXiv
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
Telcs, András Sub-Gaussian short time asymptotics for measure metric Dirichlet spaces. (English) Zbl 1113.31005 J. Theor. Probab. 19, No. 3, 631-645 (2006). Reviewer: Renming Song (Urbana) MSC: 31C25 60J60 60J45 PDFBibTeX XMLCite \textit{A. Telcs}, J. Theor. Probab. 19, No. 3, 631--645 (2006; Zbl 1113.31005) Full Text: DOI arXiv
Kawabi, Hiroshi The parabolic Harnack inequality for the time dependent Ginzburg-Landau type SPDE and its application. (English) Zbl 1118.60053 Potential Anal. 22, No. 1, 61-84 (2005). MSC: 60H15 47D07 60J60 31C25 PDFBibTeX XMLCite \textit{H. Kawabi}, Potential Anal. 22, No. 1, 61--84 (2005; Zbl 1118.60053) Full Text: DOI
Krantz, Steven G. Calculation and estimation of the Poisson kernel. (English) Zbl 1060.31004 J. Math. Anal. Appl. 302, No. 1, 143-148 (2005). Reviewer: Dagmar Medková (Praha) MSC: 31C05 35J05 PDFBibTeX XMLCite \textit{S. G. Krantz}, J. Math. Anal. Appl. 302, No. 1, 143--148 (2005; Zbl 1060.31004) Full Text: DOI arXiv
Agranovich, P. Z. On the accuracy of the polynomial asymptotics of a subharmonic function with masses in a parabola. (Russian. English summary) Zbl 1087.31001 Mat. Fiz. Anal. Geom. 11, No. 2, 127-134 (2004). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 31A05 30D15 30E15 31A15 PDFBibTeX XMLCite \textit{P. Z. Agranovich}, Mat. Fiz. Anal. Geom. 11, No. 2, 127--134 (2004; Zbl 1087.31001)
Bello Hernández, M.; de la Calle Ysern, B.; López Lagomasino, G. Generalized Stieltjes polynomials and rational Gauss-Kronrod quadrature. (English) Zbl 1056.42017 Constructive Approximation 20, No. 2, 249-265 (2004). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 31A99 41A21 65D32 PDFBibTeX XMLCite \textit{M. Bello Hernández} et al., Constr. Approx. 20, No. 2, 249--265 (2004; Zbl 1056.42017)
Röckner, Michael; Wang, Feng-Yu On the spectrum of a class of non-sectorial diffusion operators. (English) Zbl 1059.31008 Bull. Lond. Math. Soc. 36, No. 1, 95-104 (2004). Reviewer: Jacek Banasiak (Durban) MSC: 31C12 31C25 58J37 58J65 47D06 60J35 PDFBibTeX XMLCite \textit{M. Röckner} and \textit{F.-Y. Wang}, Bull. Lond. Math. Soc. 36, No. 1, 95--104 (2004; Zbl 1059.31008) Full Text: DOI
Hino, Masanori; Ramírez, José A. Small-time Gaussian behavior of symmetric diffusion semigroups. (English) Zbl 1085.31008 Ann. Probab. 31, No. 3, 1254-1295 (2003). Reviewer: Wolfhard Hansen (Bielefeld) MSC: 31C25 60J60 47D07 58J65 PDFBibTeX XMLCite \textit{M. Hino} and \textit{J. A. Ramírez}, Ann. Probab. 31, No. 3, 1254--1295 (2003; Zbl 1085.31008) Full Text: DOI Euclid
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
Ockendon, J. R.; Howison, S. D. Kochina and Hele-Shaw in modern mathematics, natural sciences and industry. (English. Russian original) Zbl 1066.01513 J. Appl. Math. Mech. 66, No. 3, 505-512 (2002); translation from Prikl. Mat. Mekh. 66, No. 3, 515-524 (2002). Reviewer: Yu. A. Mitropolsky (Kyïv) MSC: 01A70 76D27 31A25 35R35 PDFBibTeX XMLCite \textit{J. R. Ockendon} and \textit{S. D. Howison}, Prikl. Mat. Mekh. 66, No. 3, 515--524 (2002; Zbl 1066.01513); translation from Prikl. Mat. Mekh. 66, No. 3, 515--524 (2002)
Kurdyka, K.; Xiao, J. John functions, quadratic integral forms and \(o\)-minimal structures. (English) Zbl 1040.31004 Ill. J. Math. 46, No. 4, 1089-1109 (2002). Reviewer: Nikolai Pleshchinskii (Kazan’) MSC: 31B05 31B10 46E15 26B15 PDFBibTeX XMLCite \textit{K. Kurdyka} and \textit{J. Xiao}, Ill. J. Math. 46, No. 4, 1089--1109 (2002; Zbl 1040.31004)
Hino, Masanori On short time asymptotic behavior of some symmetric diffusions on general state spaces. (English) Zbl 1015.47029 Potential Anal. 16, No. 3, 249-264 (2002). Reviewer: Minping Qian (Beijing) MSC: 47D07 60J60 31C25 60H07 PDFBibTeX XMLCite \textit{M. Hino}, Potential Anal. 16, No. 3, 249--264 (2002; Zbl 1015.47029) Full Text: DOI
Aida, Shigeki; Kawabi, Hiroshi Short time asymptotics of a certain infinite dimensional diffusion process. (English) Zbl 0976.60077 Decreusefond, Laurent (ed.) et al., Stochastic analysis and related topics VII. Proceedings of the 7th Silivri workshop. Boston: Birkhäuser. Prog. Probab. 48, 77-124 (2001). Reviewer: Jacques Franchi (Strasbourg) MSC: 60J60 60H15 31C25 PDFBibTeX XMLCite \textit{S. Aida} and \textit{H. Kawabi}, Prog. Probab. 48, 77--124 (2001; Zbl 0976.60077)
Agranovich, P. Z. Approximation of subharmonic functions, and related problems of polynomial asymptotics. (Russian. English summary) Zbl 1004.31001 Mat. Fiz. Anal. Geom. 7, No. 3, 255-265 (2000). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 31A05 31A15 30D15 PDFBibTeX XMLCite \textit{P. Z. Agranovich}, Mat. Fiz. Anal. Geom. 7, No. 3, 255--265 (2000; Zbl 1004.31001)
Ancona, Alano Green’s functions, generalized first eigenvalues and perturbation of diffusions or Markov chains. (English) Zbl 0958.58023 Picardello, Massimo (ed.) et al., Random walks and discrete potential theory. Cortona 1997. Proceedings of the conference, Cortona, Italy, June 1997. Cambridge: Cambridge University Press. Symp. Math. 39, 1-25 (1999). Reviewer: René L.Schilling (Brighton) MSC: 58J37 58J05 31C12 60J45 PDFBibTeX XMLCite \textit{A. Ancona}, Symp. Math. 39, 1--25 (1999; Zbl 0958.58023)
Balzano, Michele; Notarantonio, Lino On the asymptotic behavior of Dirichlet problems in a Riemannian manifold less small random holes. (English) Zbl 0922.31008 Rend. Semin. Mat. Univ. Padova 100, 249-282 (1998). Reviewer: N.Jacob (Erlangen) MSC: 31C12 31C15 53C21 58J37 58J32 58J60 PDFBibTeX XMLCite \textit{M. Balzano} and \textit{L. Notarantonio}, Rend. Semin. Mat. Univ. Padova 100, 249--282 (1998; Zbl 0922.31008) Full Text: Numdam EuDML
Posta, G. Spectral asymptotics for variational fractals. (English) Zbl 0914.47024 Z. Anal. Anwend. 17, No. 2, 417-430 (1998). MSC: 47B06 60J65 31C25 PDFBibTeX XMLCite \textit{G. Posta}, Z. Anal. Anwend. 17, No. 2, 417--430 (1998; Zbl 0914.47024) Full Text: DOI
Sturm, Karl-Theodor Is a diffusion process determined by its intrinsic metric? (English) Zbl 0939.58032 Chaos Solitons Fractals 8, No. 11, 1855-1860 (1997). MSC: 58J65 58J35 58J37 31C25 60J60 PDFBibTeX XMLCite \textit{K.-T. Sturm}, Chaos Solitons Fractals 8, No. 11, 1855--1860 (1997; Zbl 0939.58032) Full Text: DOI
Mahnke, R. Asymptotics of the solution of an integral equation to transmission problems with singular perturbed boundary. (English) Zbl 0857.35019 Z. Anal. Anwend. 15, No. 3, 651-660 (1996). MSC: 35B40 31B10 35J05 45M05 PDFBibTeX XMLCite \textit{R. Mahnke}, Z. Anal. Anwend. 15, No. 3, 651--660 (1996; Zbl 0857.35019) Full Text: DOI
Grieser, Daniel; Jerison, David Asymptotics of the first nodal line of a convex domain. (English) Zbl 0857.31002 Invent. Math. 125, No. 2, 197-219 (1996). Reviewer: R.-M.Hervé (Paris) MSC: 31A05 35J25 PDFBibTeX XMLCite \textit{D. Grieser} and \textit{D. Jerison}, Invent. Math. 125, No. 2, 197--219 (1996; Zbl 0857.31002) Full Text: DOI
Courtois, Gilles Spectrum of manifolds with holes. (English) Zbl 0847.58076 J. Funct. Anal. 134, No. 1, 194-221 (1995). Reviewer: Th.M.Rassias (Athens) MSC: 58J50 58J37 31C15 PDFBibTeX XMLCite \textit{G. Courtois}, J. Funct. Anal. 134, No. 1, 194--221 (1995; Zbl 0847.58076) Full Text: DOI
Bendikov, A. D. Symmetric stable semigroups on the infinite dimensional torus. (English) Zbl 0835.31009 Expo. Math. 13, No. 1, 39-79 (1995). Reviewer: Z.Vondraček (Saarbrücken) MSC: 31C45 47D07 60J45 PDFBibTeX XMLCite \textit{A. D. Bendikov}, Expo. Math. 13, No. 1, 39--79 (1995; Zbl 0835.31009)
Cupała, Wiesław The upper bound of the number of eigenvalues for a class of perturbed Dirichlet forms. (English) Zbl 0835.35101 Stud. Math. 113, No. 2, 109-125 (1995). Reviewer: R.Song (Ann Arbor) MSC: 35P20 47D07 31C25 35R60 PDFBibTeX XMLCite \textit{W. Cupała}, Stud. Math. 113, No. 2, 109--125 (1995; Zbl 0835.35101) Full Text: DOI EuDML
Ramm, A. G. Multidimensional inverse scattering problems. (Многомерные обратные задачи рассеяния.) (Russian) Zbl 0805.35002 Moskva: Mir. 495 p. (1994). Reviewer: Alexander G. Ramm MSC: 35-02 35R30 31B10 35P25 86A15 PDFBibTeX XMLCite \textit{A. G. Ramm}, Многомерные обратные задачи рассеяния (Russian). Moskva: Mir (1994; Zbl 0805.35002)
Ramm, Alexander G. Multidimensional inverse scattering problems. (English) Zbl 0746.35056 Pitman Monographs and Surveys in Pure and Applied Mathematics. 51. New York etc., New York: Longman Scientific & Technical, John Wiley & Sons, Inc. 379 p. (1992). Reviewer: G.Bruckner MSC: 35R30 35-02 35P25 31B10 44A20 65R30 86A22 PDFBibTeX XMLCite \textit{A. G. Ramm}, Multidimensional inverse scattering problems. New York etc.: Longman Scientific \&| Technical; New York: John Wiley \&| Sons, Inc. (1992; Zbl 0746.35056)
Maz’ya, V. G.; Mahnke, R. Asymptotics of the solution of a boundary integral equation under a small perturbation of a corner. (English) Zbl 0779.35017 Z. Anal. Anwend. 11, No. 2, 173-182 (1992). MSC: 35B40 35J05 45M05 31A10 PDFBibTeX XMLCite \textit{V. G. Maz'ya} and \textit{R. Mahnke}, Z. Anal. Anwend. 11, No. 2, 173--182 (1992; Zbl 0779.35017) Full Text: DOI
Weck, N.; Witsch, K. J. Exact low frequency analysis for a class of exterior boundary value problems for the reduced wave equation in higher dimensions. (English) Zbl 0777.35021 Asymptotic Anal. 6, No. 2, 161-172 (1992). MSC: 35J05 31B10 35P25 PDFBibTeX XMLCite \textit{N. Weck} and \textit{K. J. Witsch}, Asymptotic Anal. 6, No. 2, 161--172 (1992; Zbl 0777.35021)
Zargaryan, Stepan S. Singularities of the solution of integral equations of potential theory arising in problems of elasticity for non-homogeneous media. (English) Zbl 0761.45004 Potential theory, Proc. Int. Conf., Nagoya/Jap. 1990, 367-381 (1992). Reviewer: G.Schmidt (Berlin) MSC: 45E10 45M05 35C15 31A10 35J05 PDFBibTeX XMLCite \textit{S. S. Zargaryan}, in: Potential theory. Proceedings of the international conference, Nagoya, Japan, August 30-September 4, 1990. Berlin etc.: de Gruyter. 367--381 (1992; Zbl 0761.45004)
Zargaryan, Stepan On the asymptotic behavior of solutions of a system of integral equations of mixed boundary value problem of plane elasticity in a neighbourhood of corner points of the contour. (English) Zbl 0683.73009 Potential theory, Proc. Conf., Prague/Czech. 1987, 351-362 (1988). Reviewer: S.Christiansen MSC: 74B99 74H99 45M05 31A25 45F15 PDFBibTeX XML
Rempel, Stephan; Schulze, Bert-Wolfgang Mellin symbolic calculus and asymptotics for boundary value problems. (English) Zbl 0595.31012 Semin. Anal. 1984/85, 23-72 (1985). Reviewer: B.Konopelchenko MSC: 31B20 35S15 35R05 PDFBibTeX XML
Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. Description of pair potentials for which the scattering in a quantum system of three one-dimensional particles is free of diffraction effects. (English) Zbl 0515.35069 J. Sov. Math. 21, 260-265 (1983). MSC: 35P25 35B40 31C99 47A40 PDFBibTeX XMLCite \textit{V. S. Buslaev} et al., J. Sov. Math. 21, 260--265 (1983; Zbl 0515.35069) Full Text: DOI
Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. Description of the pair potentials for which the scattering in the quantum system of three one-dimensional particles is free of diffractional effects. (Russian) Zbl 0413.35058 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 84, 16-22 (1979). MSC: 35P25 47A40 35B40 31C99 PDFBibTeX XMLCite \textit{V. S. Buslaev} et al., Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 84, 16--22 (1979; Zbl 0413.35058) Full Text: EuDML
Chebanova, N. A. Asymptotics of Fourier coefficients for Dirichlet’s problem in an unbounded region with curvilinear section of the boundary. (Russian) Zbl 0409.35025 Vestn. Leningr. Univ. 1979, No. 7, Mat. Mekh. Astron. 1979, No. 2, 82-86 (1979). MSC: 35J05 31B35 PDFBibTeX XMLCite \textit{N. A. Chebanova}, Vestn. Leningr. Univ., Mat. Mekh. Astron. 1979, No. 2, 82--86 (1979; Zbl 0409.35025)
Drasin, David; Shea, Daniel F. Convolution inequalities, regular variation and exceptional sets. (English) Zbl 0343.30013 J. Anal. Math. 29, 232-293 (1976). MSC: 30D15 30D35 44A35 45M05 31A15 PDFBibTeX XMLCite \textit{D. Drasin} and \textit{D. F. Shea}, J. Anal. Math. 29, 232--293 (1976; Zbl 0343.30013) Full Text: DOI