Polymerakis, Panagiotis On the strong Liouville property of covering spaces. (English) Zbl 07749916 Potential Anal. 59, No. 3, 1449-1455 (2023). MSC: 53C43 53C23 58J65 60G50 31C12 PDFBibTeX XMLCite \textit{P. Polymerakis}, Potential Anal. 59, No. 3, 1449--1455 (2023; Zbl 07749916) Full Text: DOI OA License
Ledesma, Diego Sebastian; Anaya, Robert Andres Galeano; da Silva, Fabiano Borges Estimates for the volume variation of compact submanifolds driven by a stochastic flow. (English) Zbl 1504.60091 Dyn. Syst. 37, No. 4, 527-553 (2022). MSC: 60H10 60J60 58J65 PDFBibTeX XMLCite \textit{D. S. Ledesma} et al., Dyn. Syst. 37, No. 4, 527--553 (2022; Zbl 1504.60091) Full Text: DOI
Monk, Laura Benjamini-Schramm convergence and spectra of random hyperbolic surfaces of high genus. (English) Zbl 1493.58015 Anal. PDE 15, No. 3, 727-752 (2022). MSC: 58J50 32G15 58J65 PDFBibTeX XMLCite \textit{L. Monk}, Anal. PDE 15, No. 3, 727--752 (2022; Zbl 1493.58015) Full Text: DOI arXiv
Beschastnyi, Ivan; Habermann, Karen; Medvedev, Alexandr Cartan connections for stochastic developments on sub-Riemannian manifolds. (English) Zbl 1515.58009 J. Geom. Anal. 32, No. 1, Paper No. 13, 37 p. (2022). Reviewer: Feng-Yu Wang (Tianjin) MSC: 58J65 53C17 58A15 60J65 PDFBibTeX XMLCite \textit{I. Beschastnyi} et al., J. Geom. Anal. 32, No. 1, Paper No. 13, 37 p. (2022; Zbl 1515.58009) Full Text: DOI arXiv
Grigor’yan, Alexander Analysis on manifolds and volume growth. (English) Zbl 1476.58029 Grigor’yan, Alexander (ed.) et al., Analysis and partial differential equations on manifolds, fractals and graphs. Contributions of the conference, Tianjin, China, September 2019. Berlin: De Gruyter. Adv. Anal. Geom. 3, 299-323 (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J35 58J65 35K05 PDFBibTeX XMLCite \textit{A. Grigor'yan}, Adv. Anal. Geom. 3, 299--323 (2021; Zbl 1476.58029) Full Text: DOI
Polymerakis, Panagiotis Positive harmonic functions on groups and covering spaces. (English) Zbl 1456.53053 Adv. Math. 379, Article ID 107552, 9 p. (2021). MSC: 53C43 58J65 60G50 PDFBibTeX XMLCite \textit{P. Polymerakis}, Adv. Math. 379, Article ID 107552, 9 p. (2021; Zbl 1456.53053) Full Text: DOI Link
Léonard, Christian On the convexity of the entropy along entropic interpolations. (English) Zbl 1485.28018 Gigli, Nicola (ed.), Measure theory in non-smooth spaces. Warsaw: De Gruyter Open. Partial Differ. Equ. Meas. Theory, 194-242 (2017). MSC: 28D20 28A75 60J35 60J60 58J65 82C05 PDFBibTeX XMLCite \textit{C. Léonard}, in: Measure theory in non-smooth spaces. Warsaw: De Gruyter Open. 194--242 (2017; Zbl 1485.28018) Full Text: arXiv
Barbu, Viorel; Röckner, Michael; Russo, Francesco Doubly probabilistic representation for the stochastic porous media type equation. (English. French summary) Zbl 1387.35635 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 4, 2043-2073 (2017). MSC: 35R60 60H15 60H30 60H10 60G46 35C99 58J65 82C31 PDFBibTeX XMLCite \textit{V. Barbu} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 4, 2043--2073 (2017; Zbl 1387.35635) Full Text: DOI arXiv Euclid
Ouyang, Shunxiang Volume growth and escape rate of symmetric diffusion processes. (English) Zbl 1361.58016 Stochastics 88, No. 3, 353-372 (2016). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 60J60 31C25 PDFBibTeX XMLCite \textit{S. Ouyang}, Stochastics 88, No. 3, 353--372 (2016; Zbl 1361.58016) Full Text: DOI
Luo, Dejun Stochastic Lagrangian flows on the group of volume-preserving homeomorphisms of the spheres. (English) Zbl 1338.58024 Stochastics 87, No. 4, 680-701 (2015). MSC: 58J65 60H10 58D05 PDFBibTeX XMLCite \textit{D. Luo}, Stochastics 87, No. 4, 680--701 (2015; Zbl 1338.58024) Full Text: DOI arXiv
Haeseler, Sebastian; Keller, Matthias; Wojciechowski, Radosław K. Volume growth and bounds for the essential spectrum for Dirichlet forms. (English) Zbl 1283.47049 J. Lond. Math. Soc., II. Ser. 88, No. 3, 883-898 (2013). Reviewer: Michael Perelmuter (Kyïv) MSC: 47D07 58J50 35P05 39A12 PDFBibTeX XMLCite \textit{S. Haeseler} et al., J. Lond. Math. Soc., II. Ser. 88, No. 3, 883--898 (2013; Zbl 1283.47049) Full Text: DOI arXiv
Bailleul, Ismaël; Franchi, Jacques Nonexplosion criteria for relativistic diffusions. (English) Zbl 1262.83026 Ann. Probab. 40, No. 5, 2168-2196 (2012). Reviewer: Maria Gordina (Storrs) MSC: 83C55 58J65 31C12 60J50 53C50 83C10 PDFBibTeX XMLCite \textit{I. Bailleul} and \textit{J. Franchi}, Ann. Probab. 40, No. 5, 2168--2196 (2012; Zbl 1262.83026) Full Text: DOI arXiv Euclid
Wojciechowski, Radosław Krzysztof Stochastically incomplete manifolds and graphs. (English) Zbl 1221.39008 Lenz, Daniel (ed.) et al., Random walks, boundaries and spectra. Proceedings of the workshop on boundaries, Graz, Austria, June 29–July 3, 2009 and the Alp-workshop, Sankt Kathrein, Austria, July 4–5, 2009. Basel: Birkhäuser (ISBN 978-3-0346-0243-3/hbk; 978-3-0346-0244-0/ebook). Progress in Probability 64, 163-179 (2011). MSC: 39A12 60J60 58J65 05C62 PDFBibTeX XMLCite \textit{R. K. Wojciechowski}, Prog. Probab. 64, 163--179 (2011; Zbl 1221.39008) Full Text: DOI arXiv
Hsu, Elton P.; Qin, Guangnan Volume growth and escape rate of Brownian motion on a complete Riemannian manifold. (English) Zbl 1200.58022 Ann. Probab. 38, No. 4, 1570-1582 (2010). Reviewer: Raouf Ghomrasni (Muizenberg) MSC: 58J65 60G50 PDFBibTeX XMLCite \textit{E. P. Hsu} and \textit{G. Qin}, Ann. Probab. 38, No. 4, 1570--1582 (2010; Zbl 1200.58022) Full Text: DOI arXiv
Bär, Christian; Bessa, G. Pacelli Stochastic completeness and volume growth. (English) Zbl 1201.58024 Proc. Am. Math. Soc. 138, No. 7, 2629-2640 (2010). Reviewer: Jean Picard (Aubière) MSC: 58J65 58J35 PDFBibTeX XMLCite \textit{C. Bär} and \textit{G. P. Bessa}, Proc. Am. Math. Soc. 138, No. 7, 2629--2640 (2010; Zbl 1201.58024) Full Text: DOI arXiv
Markvorsen, Steen; Palmer, Vicente Extrinsic isoperimetric analysis on submanifolds with curvatures bounded from below. (English) Zbl 1185.53067 J. Geom. Anal. 20, No. 2, 388-421 (2010). MSC: 53C42 58J65 35J25 60J65 PDFBibTeX XMLCite \textit{S. Markvorsen} and \textit{V. Palmer}, J. Geom. Anal. 20, No. 2, 388--421 (2010; Zbl 1185.53067) Full Text: DOI arXiv Link
Oberhuber, Tomáš Complementary finite volume scheme for the anisotropic surface diffusion flow. (English) Zbl 1172.65375 Handlovičová, Angela (ed.) et al., Algoritmy 2009. 18th conference on scientific computing, Vysoké Tatry – Podbsanské, Slovakia, March 15–20, 2009. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry (ISBN 978-80-227-3032-7/pbk). 153-164 (2009). MSC: 65M20 65M06 35K55 65M12 53C44 58J35 PDFBibTeX XMLCite \textit{T. Oberhuber}, in: Algoritmy 2009. 18th conference on scientific computing, Vysoké Tatry -- Podbsanské, Slovakia, March 15--20, 2009. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry. 153--164 (2009; Zbl 1172.65375)
Grigor’yan, Alexander; Hsu, Elton Volume growth and escape rate of Brownian motion on a Cartan-Hadamard manifold. (English) Zbl 1167.58019 Maz’ya, Vladimir (ed.), Sobolev spaces in mathematics II. Applications in analysis and partial differential equations. New York, NY: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-0-387-85649-0/hbk; 978-0-387-85650-6/e-book; 978-0-387-85791-6/set). International Mathematical Series 9, 209-225 (2009). Reviewer: Raouf Ghomrasni (Muizenberg) MSC: 58J65 60J60 35K05 PDFBibTeX XMLCite \textit{A. Grigor'yan} and \textit{E. Hsu}, in: Sobolev spaces in mathematics II. Applications in analysis and partial differential equations. New York, NY: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher. 209--225 (2009; Zbl 1167.58019) Full Text: DOI
Calhoun, Donna A.; Helzel, Christiane; LeVeque, Randall J. Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains. (English) Zbl 1155.65061 SIAM Rev. 50, No. 4, 723-752 (2008). MSC: 65M06 65M50 65Y15 35L60 58J45 35-04 PDFBibTeX XMLCite \textit{D. A. Calhoun} et al., SIAM Rev. 50, No. 4, 723--752 (2008; Zbl 1155.65061) Full Text: DOI Link
Ben-Artzi, Matania; LeFloch, Philippe G. Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds. (English) Zbl 1138.35055 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 6, 989-1008 (2007). MSC: 35L65 58J45 76N10 PDFBibTeX XMLCite \textit{M. Ben-Artzi} and \textit{P. G. LeFloch}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 6, 989--1008 (2007; Zbl 1138.35055) Full Text: DOI arXiv Numdam EuDML
Barlow, Martin T. Which values of the volume growth and escape time exponent are possible for a graph? (English) Zbl 1051.60071 Rev. Mat. Iberoam. 20, No. 1, 1-31 (2004). Reviewer: Piotr Garbaczewski (Zielona Góra) MSC: 60J05 58J65 82C41 PDFBibTeX XMLCite \textit{M. T. Barlow}, Rev. Mat. Iberoam. 20, No. 1, 1--31 (2004; Zbl 1051.60071) Full Text: DOI EuDML
Du, Qiang; Gunzburger, Max D.; Ju, Lili Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere. (English) Zbl 1046.65094 Comput. Methods Appl. Mech. Eng. 192, No. 35-36, 3933-3957 (2003). Reviewer: Oscar Lopez-Pouso (Santiago de Compostela) MSC: 65N30 65N50 65N15 58J05 35J25 PDFBibTeX XMLCite \textit{Q. Du} et al., Comput. Methods Appl. Mech. Eng. 192, No. 35--36, 3933--3957 (2003; Zbl 1046.65094) Full Text: DOI
Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O.; Sidorova, N. A. Surface measures on trajectories in Riemannian manifolds generated by diffusions. (English. Russian original) Zbl 1052.58037 Dokl. Math. 63, No. 2, 203-207 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 377, No. 4, 441-446 (2001). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 28A75 28C20 60J60 PDFBibTeX XMLCite \textit{O. G. Smolyanov} et al., Dokl. Math. 63, No. 2, 441--446 (2001; Zbl 1052.58037); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 377, No. 4, 441--446 (2001)
Enriquez, N.; Franchi, J.; Le Jan, Y. Central limit theorem for the geodesic flow associated with a Kleinian group, case \(\delta>d/2\). (English) Zbl 0986.37009 J. Math. Pures Appl., IX. Sér. 80, No. 2, 153-175 (2001). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 37A50 37D40 58J65 60J60 60F05 PDFBibTeX XMLCite \textit{N. Enriquez} et al., J. Math. Pures Appl. (9) 80, No. 2, 153--175 (2001; Zbl 0986.37009) Full Text: DOI
Franchi, J. Asymptotic singular homology of a complete hyperbolic 3-manifold of finite volume. (English) Zbl 1056.58012 Proc. Lond. Math. Soc., III. Ser. 79, No. 2, 451-480 (1999). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 58J65 60J65 37D40 57M25 PDFBibTeX XMLCite \textit{J. Franchi}, Proc. Lond. Math. Soc. (3) 79, No. 2, 451--480 (1999; Zbl 1056.58012) Full Text: DOI
Coulhon, Thierry Analysis on infinite graphs with regular volume growth. (English) Zbl 0960.58021 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, 165-187 (1999). Reviewer: Yuri E.Gliklikh (Voronezh) MSC: 58J65 58J35 PDFBibTeX XMLCite \textit{T. Coulhon}, Symp. Math. 39, 165--187 (1999; Zbl 0960.58021)
Lapidus, Michel L. Towards a noncommutative fractal geometry? Laplacians and volume measures on fractals. (English) Zbl 0889.58012 Harper, Lawrence H. (ed.) et al., Harmonic analysis and nonlinear differential equations. A volume in honor of Victor L. Shapiro. Proceedings of a conference, Riverside, CA, USA, November 3–5, 1995. Providence, RI: American Mathematical Society. Contemp. Math. 208, 211-252 (1997). MSC: 46L85 46L87 58J50 28A80 35P20 28A12 58J40 58J65 78A40 81Q20 PDFBibTeX XMLCite \textit{M. L. Lapidus}, Contemp. Math. 208, 211--252 (1997; Zbl 0889.58012)
McGillivray, I. Recurrence for fractional powers of diffusion operators in terms of volume-growth. (English) Zbl 0839.58066 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, 253-259 (1995). Reviewer: Yu.E.Gliklikh (Voronezh) MSC: 58J65 58J35 PDFBibTeX XMLCite \textit{I. McGillivray}, in: Partial differential operators and mathematical physics. International conference in Holzhau, Germany, July 3-9, 1994. Basel: Birkhäuser Verlag. 253--259 (1995; Zbl 0839.58066)
Grigor’yan, Alexander Heat kernel of a noncompact Riemannian manifold. (English) Zbl 0829.58041 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, 239-263 (1995). Reviewer: B.Goldys (Kensington) MSC: 58J35 35B40 35K05 58J60 58J65 35K10 PDFBibTeX XMLCite \textit{A. Grigor'yan}, Proc. Symp. Pure Math. 57, 239--263 (1995; Zbl 0829.58041)
Ledoux, Michel Semigroup proofs of the isoperimetric inequality in Euclidean and Gauss space. (English) Zbl 0841.49024 Bull. Sci. Math., II. Sér. 118, No. 6, 485-510 (1994). Reviewer: N.Papaghiuc (Iaşi) MSC: 49Q20 60E15 28A75 52A40 47D07 58J35 PDFBibTeX XMLCite \textit{M. Ledoux}, Bull. Sci. Math., II. Sér. 118, No. 6, 485--510 (1994; Zbl 0841.49024)
Vicsek, Tamas Fractal growth phenomena. 2nd ed. (English) Zbl 0861.28006 Singapore: World Scientific. xix, 488 p. (1992). MSC: 28A80 58-01 28-01 28A75 37D45 37C80 76E99 82C99 PDFBibTeX XMLCite \textit{T. Vicsek}, Fractal growth phenomena. 2nd ed. Singapore: World Scientific (1992; Zbl 0861.28006)
Vicsek, Tamás Fractal growth phenomena. (English) Zbl 0744.28005 Singapore etc.: World Scientific (ISBN 9971-50-442-1/hbk; 9971-50-830-3/pbk). xi, 355 p. (1989). Reviewer: G.Warnecke (Stuttgart) MSC: 28A80 58-01 28-01 28A75 37D45 37C80 76E99 82C99 PDFBibTeX XMLCite \textit{T. Vicsek}, Fractal growth phenomena. Singapore etc.: World Scientific (1989; Zbl 0744.28005)
Yasue, Kunio A variational principle for the Navier-Stokes equation. (English) Zbl 0533.35075 J. Funct. Anal. 51, 133-141 (1983). Reviewer: Z.-H.Guo MSC: 35Q30 76D05 49S05 58E30 35A15 PDFBibTeX XMLCite \textit{K. Yasue}, J. Funct. Anal. 51, 133--141 (1983; Zbl 0533.35075) Full Text: DOI
Gray, Alfred; Pinsky, Mark A. The mean exit time from a small geodesic ball in a Riemannian manifold. (English) Zbl 0522.58048 Bull. Sci. Math., II. Ser. 107, 345-370 (1983). MSC: 58J65 53B20 60J65 PDFBibTeX XMLCite \textit{A. Gray} and \textit{M. A. Pinsky}, Bull. Sci. Math., II. Sér. 107, 345--370 (1983; Zbl 0522.58048)
Asorey, M.; Mitter, P. K. Regularized, continuum Yang-Mills process and Feynman-Kac functional integral. (English) Zbl 0476.58008 Commun. Math. Phys. 80, 43-58 (1981). MSC: 58D30 58J65 81T08 58B20 81S40 PDFBibTeX XMLCite \textit{M. Asorey} and \textit{P. K. Mitter}, Commun. Math. Phys. 80, 43--58 (1981; Zbl 0476.58008) Full Text: DOI
Gaveau, Bernard; Trauber, Philip Constructions de diffusions et de mesures invariantes par le groupe de jauge sur l’espace des connexions. (French) Zbl 0451.58040 J. Funct. Anal. 38, 324-341 (1980). MSC: 58J65 58D99 58J99 53C05 58J70 81T08 PDFBibTeX XMLCite \textit{B. Gaveau} and \textit{P. Trauber}, J. Funct. Anal. 38, 324--341 (1980; Zbl 0451.58040) Full Text: DOI
Kifer, Yuri A probabilistic version of Bowen-Ruelle’s volume lemma. (English) Zbl 0447.58030 Global theory of dynamical systems, Proc. int. Conf., Evanston/Ill. 1979, Lect. Notes Math. 819, 291-299 (1980). MSC: 37D99 58J65 34D05 PDFBibTeX XML