Found 221 Documents (Results 1–100)
The Weyl law for algebraic tori. (English) Zbl 07875316
Reviewer: Ivan Matić (Osijek)
Spectral distribution of twisted Laplacian on typical hyperbolic surfaces of high genus. (English) Zbl 1542.58013
Applications of the landscape function for Schrödinger operators with singular potentials and irregular magnetic fields. (English) Zbl 07839378
Reviewer: Mariana Vega Smit (Bellingham)
MSC:
35J10
Weyl’s law for singular Riemannian manifolds. (English. French summary) Zbl 1539.58017
Weyl’s law for Neumann Schrödinger operators on Hölder domains. (English) Zbl 07875005
Reviewer: Hideo Nakazawa (Tōkyō)
On the equidistribution of closed geodesics and geodesic nets. (English) Zbl 1530.53053
Reviewer: James Hebda (St. Louis)
MSC:
53C22
Operators arising as second variation of optimal control problems and their spectral asymptotics. (English) Zbl 1533.47037
Geodesic beams in eigenfunction analysis. (English) Zbl 07753130
Synthesis Lectures on Mathematics & Statistics. Cham: Springer (ISBN 978-3-031-31585-5/hbk; 978-3-031-31588-6/pbk; 978-3-031-31586-2/ebook). x, 116 p. (2023).
Reviewer: Emilio A. Lauret (Bahía Blanca)
Singular Weyl’s law with Ricci curvature bounded below. (English) Zbl 1528.53040
Reviewer: Paul F. Bracken (Edinburg)
One dimensional \(\mathsf{RCD}\) spaces always satisfy the regular Weyl’s law. (English) Zbl 1531.58013
Reviewer: Joe Thomas (Durham)
On Benford’s law for multiplicative functions. (English) Zbl 07735811
Reviewer: Mehdi Hassani (Zanjan)
The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions without complementing conditions. (English) Zbl 07733783
Connes’ integration and Weyl’s laws. (English) Zbl 1531.58009
Reviewer: Albert Sheu (Lawrence)
Pointwise Weyl law for graphs from quantized interval maps. (English) Zbl 1523.37043
Reviewer: Steve Pederson (Atlanta)
Sharp pointwise Weyl laws for Schrödinger operators with singular potentials on flat tori. (English) Zbl 1517.58006
Spectral exponential sums on hyperbolic surfaces. (English) Zbl 1520.11081
Reviewer: Anton Deitmar (Tübingen)
Upper bounds for the Steklov eigenvalues of the \(p\)-Laplacian. (English) Zbl 1525.35181
Reviewer: Vladimir Bobkov (Ufa)
Local universality of determinantal point processes on Riemannian manifolds. (English) Zbl 1508.60055
Reviewer: Feng-Yu Wang (Tianjin)
Weyl’s law for the eigenvalues of the Neumann-Poincaré operators in three dimensions: Willmore energy and surface geometry. (English) Zbl 07567808
Reviewer: Mohammed El Aïdi (Bogotá)
A Tauberian approach to an analog of Weyl’s law for the Kohn Laplacian on compact Heisenberg manifolds. (English) Zbl 1487.32202
A central limit theorem for integrals of random waves. (English) Zbl 1493.60046
Reviewer: Fraser Daly (Edinburgh)
The distribution of radial eigenvalues of the Euclidean Laplacian on homogeneous isotropic trees. (English) Zbl 1483.05020
Linear system of differential equations with a quadratic invariant as the Schrödinger equation. (English. Russian original) Zbl 1482.37068
Dokl. Math. 103, No. 1, 39-43 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 48-52 (2021).
Weyl law improvement for products of spheres. (English) Zbl 1488.11155
Reviewer: Rózsa Horváth-Bokor (Budakalász)
Shrinking scale equidistribution for monochromatic random waves on compact manifolds. (English) Zbl 1509.81645
The Weyl law of transmission eigenvalues and the completeness of generalized transmission eigenfunctions. (English) Zbl 1501.47013
On the remainder term of the Weyl law for congruence subgroups of Chevalley groups. (English) Zbl 1472.11159
Reviewer: Ivan Matić (Osijek)
Kuznetsov, Petersson and Weyl on \(\mathrm{GL}(3)\). II: The generalized principal series forms. (English) Zbl 1489.11078
Reviewer: Joshua Friedman (Plainview)
General Toeplitz matrices subject to Gaussian perturbations. (English) Zbl 1479.15039
Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi)
An analog of the Weyl law for the Kohn Laplacian on spheres. (English) Zbl 1467.32015
Reviewer: Fritz Haslinger (Wien)
An optimal semiclassical bound on commutators of spectral projections with position and momentum operators. (English) Zbl 1456.81190
Applications of min-max methods to geometry. (English) Zbl 1453.53003
Gursky, Matthew J. (ed.) et al., Geometric analysis. Cetraro, Italy, June 18–22, 2018. Lecture notes given at the summer school. Cham: Springer. Lect. Notes Math. 2263, 41-77 (2020).
A weak Weyl’s law on compact metric measure spaces. (English) Zbl 1456.30100
Reviewer: Thomas Zürcher (Katowice)
Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain. (English) Zbl 1467.35107
Reviewer: Dian K. Palagachev (Bari)
Sampling, Marcinkiewicz-Zygmund inequalities, approximation, and quadrature rules. (English) Zbl 1446.41005
Variations on quantum ergodic theorems. II. (English) Zbl 1442.35283
Danielli, Donatella (ed.) et al., Advances in harmonic analysis and partial differential equations. AMS special session, Northeastern University, Boston, MA, USA, April 21–22, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 748, 177-200 (2020).
The spectrum of the Laplacian in a domain bounded by a flexible polyhedron in \(\mathbb{R}^d\) does not always remain unaltered during the flex. (English) Zbl 1440.52019
Kuznetsov, Petersson and Weyl on \(\mathrm{GL}(3)\). I: The principal series forms. (English) Zbl 1475.11104
Reviewer: Shin-ya Koyama (Yokohama)
A short proof of a sharp Weyl law for the special orthogonal group. (English) Zbl 1444.58004
Reviewer: Salah Mehdi (Metz)
Eigenvalues of the Neumann-Poincaré operator in dimension 3: Weyl’s law and geometry. (English) Zbl 1513.47041
St. Petersbg. Math. J. 31, No. 2, 371-386 (2020) and Algebra Anal. 31, No. 2, 248-268 (2019).
Chiral cosmological model of \(f(R)\) gravity with a kinetic curvature scalar. (English) Zbl 1437.83088
The heat trace for the drifting Laplacian and Schrödinger operators on manifolds. (English) Zbl 1430.58018
An application of a special form of a Tauberian theorem. (English) Zbl 1471.11241
Anni, Samuele (ed.) et al., Automorphic forms and related topics. Building bridges: 3rd EU/US summer school and workshop on automorphic forms and related topics, Sarajevo, Bosnia and Herzegovina, July 11–22, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 732, 187-193 (2019).
Locating resonances on hyperbolic cones. (English) Zbl 1426.35091
Reviewer: Peter B. Gilkey (Eugene)
Proof of the honeycomb asymptotics for optimal Cheeger clusters. (English) Zbl 1418.52006
Reviewer: Anton Shutov (Vladimir)
Shannon sampling and weak Weyl’s law on compact Riemannian manifolds. (English) Zbl 1418.58010
Delgado, Julio (ed.) et al., Analysis and partial differential equations: perspectives from developing countries, Imperial College London, UK, 2016. Cham: Springer. Springer Proc. Math. Stat. 275, 207-218 (2019).
Reviewer: Peter B. Gilkey (Eugene)
MSC:
58J50
Improved fractal Weyl bounds for hyperbolic manifolds (with an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich). (English) Zbl 1420.35035
The Weyl law for the phase transition spectrum and density of limit interfaces. (English) Zbl 1416.53009
Reviewer: Atsushi Fujioka (Osaka)
MSC:
53A10
A remark on Pólya’s conjecture at low frequencies. (English) Zbl 1409.35157
Reviewer: Yehuda Pinchover (Haifa)
A multidimensional analogue of the arcsine law for the number of positive terms in a random walk. (English) Zbl 1442.60021
Spectral zeta functions for the quantum Rabi models. (English) Zbl 1426.11085
Reviewer: Roma Kačinskaitė (Kaunas)
Unexpected spectral asymptotics for wave equations on certain compact spacetimes. (English) Zbl 1516.35291
The space of cycles, a Weyl law for minimal hypersurfaces and Morse index estimates. (English) Zbl 1435.53047
Cao, Huai-Dong (ed.) et al., Celebrating the 50th anniversary of the Journal of Differential Geometry. Lectures given at the Geometry and Topology Conference at Harvard University, Cambridge, MA, USA, April 28 – May 2, 2017. Somerville, MA: International Press. Surv. Differ. Geom. 22, 319-329 (2018).
Addendum to: “Singular equivariant asymptotics and Weyl’s law”. (English) Zbl 1408.58021
Reviewer: Emilio A. Lauret (Córdoba)
The equivariant spectral function of an invariant elliptic operator. \(L^p\)-bounds, caustics, and concentration of eigenfunctions. (English. French summary) Zbl 1410.58010
Reviewer: Luigi Rodino (Torino)
The \(L^2\) restriction norm of a Maass form on \(\mathrm{SL}_{n+1}(\mathbb {Z})\). (English) Zbl 1418.11078
Weyl law for the volume spectrum. (English) Zbl 1390.53034
MSC:
53C23
\(C^\infty\) scaling asymptotics for the spectral projector of the Laplacian. (English) Zbl 1390.35210
MSC:
35P20
On Weyl’s asymptotics and remainder term for the orthogonal and unitary groups. (English) Zbl 1385.58005
Short-time behavior of the heat kernel and Weyl’s law on \(\mathrm{RCD}^*(K,N)\) spaces. (English) Zbl 1390.58015
Reviewer: Guy Katriel (Haifa)
The \(\Theta\) function and the Weyl law on manifolds without conjugate points. (English) Zbl 1386.35306
Reviewer: Guy Katriel (Haifa)
MSC:
35P20
Fractal Weyl bounds and resonances. (Bornes de Weyl fractales et résonances.) (French) Zbl 1376.35006
Séminaire Bourbaki. Volume 2015/2016. Exposés 1104–1119. Avec table par noms d’auteurs de 1948/49 à 2015/16. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-855-8/pbk). Astérisque 390, 77-100, Exp. No. 1107 (2017).
The semiclassical zeta function for geodesic flows on negatively curved manifolds. (English) Zbl 1379.37054
Reviewer: Patrick Eberlein (Chapel Hill)
Quantum ergodicity and symmetry reduction. (English) Zbl 1369.58023
Reviewer: Peter B. Gilkey (Eugene)
Weyl’s law for Hecke operators on \(\mathrm{GL}(n)\) over imaginary quadratic number fields. (English) Zbl 1379.11059
Reviewer: Dimitrios Chatzakos (Villeneuve d’Ascq)
The precise shape of the eigenvalue intensity for a class of non-self-adjoint operators under random perturbations. (English. French summary) Zbl 1368.81076
Reviewer: Antonio M. Peralta (Granada)
Asymptotics of automorphic spectra and the trace formula. (English) Zbl 1408.11048
Müller, Werner (ed.) et al., Families of automorphic forms and the trace formula. Proceedings of the Simons symposium, Puerto Rico, January 26 – February 1, 2014. Cham: Springer. Simons Symp., 477-529 (2016).
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