Froyland, Gary; Rock, Christopher P. Higher Cheeger ratios of features in Laplace-Beltrami eigenfunctions. (English) Zbl 07957708 Appl. Comput. Harmon. Anal. 74, Article ID 101710, 24 p. (2025). MSC: 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bueno, Antonio; López, Rafael On the stability of Killing cylinders in hyperbolic space. (English) Zbl 1548.53063 J. Geom. Anal. 34, No. 9, Paper No. 281, 31 p. (2024). Reviewer: Atsushi Fujioka (Ōsaka) MSC: 53C40 53A05 53A07 58J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choulli, Mourad; Metidji, Abdelmalek; Soccorsi, Éric Multidimensional Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential. (English) Zbl 1543.35287 Doc. Math. 29, No. 4, 959-984 (2024). MSC: 35R30 35J10 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Samuel; Schmidt, Benjamin; Sutton, Craig Geometric structures and the Laplace spectrum. I. (Structures géométriques et le spectre du Laplacien. I.) (English. French summary) Zbl 1540.58018 Ann. Inst. Fourier 74, No. 2, 867-914 (2024). MSC: 58J53 53C30 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Athmouni, Nassim; Damak, Mondher; Franke, Brice; Yaakoubi, Nejib On shifting the principal eigenvalue of Dirichlet problem to infinity with non-transversal incompressible drift. (English) Zbl 1540.35268 Math. Scand. 129, No. 3, 570-592 (2023). MSC: 35P15 35J25 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Griffith, Daniel A. Spectral geometry and Riemannian manifold mesh approximations: some autocorrelation lessons from spatial statistics. (English) Zbl 1535.00060 J. Math. Arts 17, No. 3-4, 293-313 (2023). MSC: 00A66 58J50 65D99 × Cite Format Result Cite Review PDF Full Text: DOI
Boldt, Sebastian; Güneysu, Batu Feynman-Kac formula for perturbations of order \(\leq 1\), and noncommutative geometry. (English) Zbl 1527.58009 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 4, 1519-1552 (2023). MSC: 58J65 47D03 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chattopadhyay, Arup; Pradhan, Chandan; Skripka, Anna Approximation of the spectral action functional in the case of \(\tau\)-compact resolvents. (English) Zbl 07752344 Integral Equations Oper. Theory 95, No. 3, Paper No. 20, 15 p. (2023). MSC: 47A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meira, Adson On the first eigenvalue of the Neumann problem. (English) Zbl 1521.58002 Differ. Geom. Appl. 89, Article ID 102012, 6 p. (2023). MSC: 58C40 58J50 53C42 × Cite Format Result Cite Review PDF Full Text: DOI
Fang, Fuquan; Xia, Changyu Isoperimetric bounds for lower-order eigenvalues. (English) Zbl 1494.35127 Pac. J. Math. 317, No. 2, 297-316 (2022). MSC: 35P15 53C40 53C42 58C40 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Samuel; Schmidt, Benjamin; Sutton, Craig Geometric structures and the Laplace spectrum. II. (English) Zbl 1501.58019 Trans. Am. Math. Soc. 374, No. 12, 8483-8530 (2021). MSC: 58J53 58J50 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bellassoued, Mourad; Choulli, Mourad; Dos Santos Ferreira, David; Kian, Yavar; Stefanov, Plamen A Borg-Levinson theorem for magnetic Schrödinger operators on a Riemannian manifold. (Un théorème de Borg-Levinson pour les opérateurs de Schrödinger magnétiques sur une variété Riemannienne.) (English. French summary) Zbl 1517.35255 Ann. Inst. Fourier 71, No. 6, 2471-2517 (2021). Reviewer: Jonathan Rohleder (Stockholm) MSC: 35R30 35J10 35J25 35P05 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Yu-Ting; Malik, John; Wu, Hau-Tieng Wave-shape oscillatory model for nonstationary periodic time series analysis. (English) Zbl 1489.37110 Found. Data Sci. 3, No. 2, 99-131 (2021). MSC: 37N25 37M10 92B05 92C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nogueira, Marcelo; Panthee, Mahendra Local well-posedness for the quadratic Schrödinger equation in two-dimensional compact manifolds with boundary. (English) Zbl 1479.35712 São Paulo J. Math. Sci. 15, No. 2, 996-1024 (2021). MSC: 35Q41 35A01 35A02 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Epstein, Jonathan; Gornet, Ruth; Mast, Maura B. Periodic magnetic geodesics on Heisenberg manifolds. (English) Zbl 1481.53055 Ann. Global Anal. Geom. 60, No. 3, 647-685 (2021). Reviewer: Stefan Suhr (Bochum) MSC: 53C22 53C30 53C24 37C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coulhon, Thierry; Devyver, Baptiste; Sikora, Adam Gaussian heat kernel estimates: from functions to forms. (English) Zbl 1444.58009 J. Reine Angew. Math. 761, 25-79 (2020). Reviewer: Gabor Etesi (Budapest) MSC: 58J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barucq, Hélène; Bekkey, Chokri; Djellouli, Rabia Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides. (English) Zbl 1461.65052 Inverse Probl. Sci. Eng. 27, No. 8, 1081-1119 (2019). MSC: 65F18 65F22 49M15 74J25 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Colbois, Bruno; El Soufi, Ahmad Spectrum of the Laplacian with weights. (English) Zbl 1408.35105 Ann. Global Anal. Geom. 55, No. 2, 149-180 (2019). Reviewer: Nikhil Savale (Köln) MSC: 35P15 58J50 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Nejib, Yaakoubi Accelerating diffusion by incompressible drift on the two-dimensional torus. (English) Zbl 1424.35202 Turk. J. Math. 42, No. 4, 1877-1886 (2018). MSC: 35K05 60J60 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Chen-Yun; Wu, Hau-Tieng Embeddings of Riemannian manifolds with finite eigenvector fields of connection Laplacian. (English) Zbl 1400.53026 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 126, 39 p. (2018). MSC: 53C20 62-07 35K08 35J47 57R40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Hau-Tieng; Wu, Nan Think globally, fit locally under the manifold setup: asymptotic analysis of locally linear embedding. (English) Zbl 1405.62058 Ann. Stat. 46, No. 6B, 3805-3837 (2018). MSC: 62H12 58J99 62G05 62J05 68T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Yin, Songting; He, Qun Some eigenvalue comparison theorems of Finsler \(p\)-Laplacian. (English) Zbl 1392.53080 Int. J. Math. 29, No. 6, Article ID 1850044, 16 p. (2018). MSC: 53C60 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Kloeckner, Benoît R. The linear request problem. (English) Zbl 1386.37020 Proc. Am. Math. Soc. 146, No. 7, 2953-2962 (2018). MSC: 37C40 37A10 37C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Colbois, Bruno The spectrum of the Laplacian: A geometric approach. (English) Zbl 1386.35293 Girouard, Alexandre (ed.) et al., Geometric and computational spectral theory. Lectures from the Séminaire de Mathématiques Supérieures, Centre de Recherches Mathématiques, Université de Montréal, Montréal, QC, Canada, June 15–26, 2015. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM) (ISBN 978-1-4704-2665-1/pbk; 978-1-4704-4258-3/ebook). Contemporary Mathematics 700. Centre de Recherches Mathématiques Proceedings, 1-40 (2017). MSC: 35P15 58J50 × Cite Format Result Cite Review PDF Full Text: DOI
Franke, Brice; Yaakoubi, Nejib Accelerating diffusion on compact Riemannian surfaces by incompressible drift. (English) Zbl 1370.58018 Anal. Appl., Singap. 15, No. 5, 653-666 (2017). MSC: 58J65 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Hau-Tieng Embedding Riemannian manifolds by the heat kernel of the connection Laplacian. (English) Zbl 1350.53054 Adv. Math. 304, 1055-1079 (2017). MSC: 53C21 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Magniez, Jocelyn Riesz transforms of the Hodge-de Rham Laplacian on Riemannian manifolds. (English) Zbl 1344.42022 Math. Nachr. 289, No. 8-9, 1021-1043 (2016). MSC: 42B99 42B20 42B37 35R01 58J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Franke, Brice; Yaakoubi, Nejib On how to use drift to push the spectral gap of a diffusion on \(S^{2}\) to infinity. (English) Zbl 1338.35197 Q. Appl. Math. 74, No. 2, 321-335 (2016). MSC: 35K05 60J60 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
El Karoui, Noureddine; Wu, Hau-Tieng Graph connection Laplacian and random matrices with random blocks. (English) Zbl 1382.60014 Inf. Inference 4, No. 1, 1-44 (2015). MSC: 60B20 62H25 94A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Portegies, Jacobus W. Semicontinuity of eigenvalues under intrinsic flat convergence. (English) Zbl 1338.49090 Calc. Var. Partial Differ. Equ. 54, No. 2, 1725-1766 (2015). Reviewer: Andrew Bucki (Edmond) MSC: 49Q15 58J50 49Q20 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bates, Jonathan The embedding dimension of Laplacian eigenfunction maps. (English) Zbl 1304.58016 Appl. Comput. Harmon. Anal. 37, No. 3, 516-530 (2014). Reviewer: Alexander A. Borisenko (Khar’kov) MSC: 58J50 53C42 94A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Devyver, Baptiste A Gaussian estimate for the heat kernel on differential forms and application to the Riesz transform. (English) Zbl 1287.58012 Math. Ann. 358, No. 1-2, 25-68 (2014). Reviewer: Vasile Oproiu (Iaşi) MSC: 58J35 35K08 53C43 43A85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Engel, Alexander; Weilandt, Martin Isospectral Alexandrov spaces. (English) Zbl 1341.58023 Ann. Global Anal. Geom. 44, No. 4, 501-515 (2013). MSC: 58J53 58J50 53C20 51F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cornelissen, Gunther; de Jong, Jan Willem The spectral length of a map between Riemannian manifolds. (English) Zbl 1267.58020 J. Noncommut. Geom. 6, No. 4, 721-748 (2012). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 58J50 53C20 58J53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bae, Myoungjean; Feldman, Mikhail Transonic shocks in multidimensional divergent nozzles. (English) Zbl 1268.76053 Arch. Ration. Mech. Anal. 201, No. 3, 777-840 (2011). MSC: 76N10 76H05 76L05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hassannezhad, Asma Conformal upper bounds for the eigenvalues of the Laplacian and Steklov problem. (English) Zbl 1232.58023 J. Funct. Anal. 261, No. 12, 3419-3436 (2011). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Martín, Joaquim; Milman, Mario Pointwise symmetrization inequalities for Sobolev functions and applications. (English) Zbl 1216.46026 Adv. Math. 225, No. 1, 121-199 (2010). Reviewer: Joan Cerdà (Barcelona) MSC: 46E30 46B70 46M35 28A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dobarro, Fernando; Ünal, Bülent Implications of energy conditions on standard static space-times. (English) Zbl 1188.53076 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 11, 5476-5490 (2009). Reviewer: Gabriel Teodor Pripoae (Bucureşti) MSC: 53C50 53C21 53C80 83C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Druet, Olivier Asymptotic expansion of the Faber-Krahn profile of a compact Riemannian manifold. (English. Abridged French version) Zbl 1158.53031 C. R., Math., Acad. Sci. Paris 346, No. 21-22, 1163-1167 (2008). Reviewer: Alberto Parmeggiani (Bologna) MSC: 53C21 49Q99 58J50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Friedlander, Leonid Extremal properties of eigenvalues for a metric graph. (English) Zbl 1074.34078 Ann. Inst. Fourier 55, No. 1, 199-211 (2005). Reviewer: Kazushi Yoshitomi (Tokyo) MSC: 34L15 58J50 × Cite Format Result Cite Review PDF Full Text: DOI Numdam Numdam EuDML
Guerini, Pierre Prescription of the spectrum of the Hodge-de Rham’s Laplacian. (Prescription du spectre du Laplacien de Hodge-de Rham.) (French) Zbl 1068.58016 Ann. Sci. Éc. Norm. Supér. (4) 37, No. 2, 270-303 (2004). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 58J50 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML Link
Chen, Mufa Eigenvalues, inequalities and ergodic theory. (English) Zbl 1039.58030 Chin. Sci. Bull. 45, No. 9, 769-774 (2000). MSC: 58J65 60J25 60J27 47F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ledoux, Michel The geometry of Markov diffusion generators. (English) Zbl 0980.60097 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 9, No. 2, 305-366 (2000). Reviewer: Nicolas Privault (La Rochelle) MSC: 60J35 58J65 46E35 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Gornet, Ruth; Mast, Maura B. The length spectrum of Riemannian two-step nilmanifolds. (English) Zbl 0968.53036 Ann. Sci. Éc. Norm. Supér. (4) 33, No. 2, 181-209 (2000). Reviewer: Zhu Fulin (Hubei) MSC: 53C30 58J53 22E25 53C20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Katsuda, Atsushi; Urakawa, Hajime The Faber-Krahn type isoperimetric inequalities for a graph. (English) Zbl 0932.05054 Tohoku Math. J., II. Ser. 51, No. 2, 267-281 (1999). MSC: 05C50 68R10 × Cite Format Result Cite Review PDF Full Text: DOI
Setti, Alberto G. Eigenvalue estimates for the weighted Laplacian on a Riemannian manifold. (English) Zbl 0922.58084 Rend. Semin. Mat. Univ. Padova 100, 27-55 (1998). Reviewer: P.Gilkey (Eugene) MSC: 58J50 35P15 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Chen, Mufa Coupling, spectral gap and related topics. II. (English) Zbl 0892.58079 Chin. Sci. Bull. 42, No. 17, 1409-1416 (1997). Reviewer: M.Puta (Timişoara) MSC: 58J50 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Mufa; Wang, Fengyu General formula for lower bound of the first eigenvalue on Riemannian manifolds. (English) Zbl 0895.58056 Sci. China, Ser. A 40, No. 4, 384-394 (1997). Reviewer: P.Gilkey (Eugene) MSC: 58J50 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Yeung, Sai Kee Betti numbers on a tower of coverings. (English) Zbl 0818.22007 Duke Math. J. 73, No. 1, 201-226 (1994). Reviewer: J.Schwermer (Eichstätt) MSC: 22E40 53C55 53C35 × Cite Format Result Cite Review PDF Full Text: DOI
Reznikov, Alexander G. Affine symplectic geometry. I: Applications to geometric inequalities. (English) Zbl 0772.53047 Isr. J. Math. 80, No. 1-2, 207-224 (1992). Reviewer: St.Janeczko (Warszawa) MSC: 53C65 53C22 × Cite Format Result Cite Review PDF Full Text: DOI
Bérard, Pierre Some vanishing and domination theorems of geometric invariants. (Quelques théorèmes d’annulation et de majoration d’invariants géométriques.) (French) Zbl 0751.58038 Mém. Soc. Math. Fr., Nouv. Sér. 46, 19-26 (1991). Reviewer: M.Puta (Timişoara) MSC: 58J50 53C21 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Sznitman, Alain-Sol Lifschitz tail on hyperbolic space: Neumann conditions. (English) Zbl 0735.60086 Commun. Pure Appl. Math. 43, No. 1, 1-30 (1990). Reviewer: P.Salminen (Åbo) MSC: 60J65 60H25 × Cite Format Result Cite Review PDF Full Text: DOI
Bérard, P.; Besson, G. Number of bound states and estimates on some geometric invariants. (English) Zbl 0723.53026 J. Funct. Anal. 94, No. 2, 375-396 (1990). Reviewer: H.-B.Rademacher (Bonn) MSC: 53C20 58J50 53C42 × Cite Format Result Cite Review PDF Full Text: DOI
Cianchi, Andrea Elliptic equations on manifolds and isoperimetric inequalities. (English) Zbl 0709.58037 Proc. R. Soc. Edinb., Sect. A 114, No. 3-4, 213-227 (1990). Reviewer: C.Bär MSC: 58J32 35B45 35J65 53C55 35J67 × Cite Format Result Cite Review PDF Full Text: DOI
Anné, Colette Principe de Dirichlet pour les formes différentielles. (Dirichlet principle for differential forms). (French) Zbl 0703.53033 Bull. Soc. Math. Fr. 117, No. 4, 445-450 (1989). Reviewer: G.Tsagas MSC: 53C20 58E20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Sznitman, Alain-Sol Lifschitz tail and Wiener sausage on hyperbolic space. (English) Zbl 0696.60079 Commun. Pure Appl. Math. 42, No. 8, 1033-1065 (1989). Reviewer: P.Salminen MSC: 60J65 60J60 60H25 × Cite Format Result Cite Review PDF Full Text: DOI
Froese, Richard; Hislop, Peter Spectral analysis of second-order elliptic operators on noncompact manifolds. (English) Zbl 0687.35060 Duke Math. J. 58, No. 1, 103-129 (1989). Reviewer: W.Wendt MSC: 35P05 58J50 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Gallot, S.; Meyer, D. D’un résultat Hilbertien à un principe de comparaison entre spectres. Applications. (On a Hilbert type result on a comparison principle between spectra. Applications). (French) Zbl 0722.53037 Ann. Sci. Éc. Norm. Supér. (4) 21, No. 4, 561-591 (1988). Reviewer: X.-P.Wang (Nantes) MSC: 53C20 58J50 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Gallot, S.; Meyer, D. D’un résultat Hilbertien à un principe de comparaison entre spectres. Applications. (On a result of Hilbert concerning a comparison principle between spectra. Applications). (French) Zbl 0673.58045 Ann. Sci. Éc. Norm. Supér. (4) 21, No. 4, 561-591 (1988). Reviewer: M.Craioveanu MSC: 58J50 53C20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Abresch, Uwe Lower curvature bounds, Toponogov’s theorem, and bounded topology. II. (English) Zbl 0651.53031 Ann. Sci. Éc. Norm. Supér. (4) 20, No. 3, 475-502 (1987). Reviewer: K.Grove MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML