Wigman, Igor On the nodal structures of random fields: a decade of results. (English) Zbl 07955467 J. Appl. Comput. Topol. 8, No. 6, 1917-1959 (2024). Reviewer: Pavel Stoynov (Sofia) MSC: 60B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Collins, Benoît; Gurau, Razvan; Lionni, Luca The tensor Harish-Chandra-Itzykson-Zuber integral. I: Weingarten calculus and a generalization of monotone Hurwitz numbers. (English) Zbl 07855098 J. Eur. Math. Soc. (JEMS) 26, No. 5, 1851-1897 (2024). MSC: 05A05 05A15 05A18 05C10 15B52 15A69 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Fang; Tian, Long; Yang, Xiaoping Measure upper bounds of nodal sets of Robin eigenfunctions. (English) Zbl 1529.35155 Math. Z. 306, No. 1, Paper No. 14, 14 p. (2024). MSC: 35J05 35P99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Levitin, Michael; Mangoubi, Dan; Polterovich, Iosif Topics in spectral geometry. (English) Zbl 1536.58001 Graduate Studies in Mathematics 237. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7525-3/hbk; 978-1-4704-7548-2/pbk; 978-1-4704-7549-9/ebook). xviii, 325 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58-01 35-01 58C40 58J50 35D30 49R05 58J53 × Cite Format Result Cite Review PDF Full Text: DOI
Styopochkina, M. V. The coefficients of transitivity of the posets minimax isomorphic to the supercritical non-primitive poset. (English) Zbl 07909390 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 43, No. 2, 62-66 (2023). MSC: 06A06 16G20 16G60 15A63 11E04 × Cite Format Result Cite Review PDF Full Text: DOI
Eswarathasan, Suresh; Letrouit, Cyril Nodal sets of eigenfunctions of sub-Laplacians. (English) Zbl 1542.58012 Int. Math. Res. Not. 2023, No. 23, 20670-20700 (2023). MSC: 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Enciso, Alberto; Peralta-Salas, Daniel; de Lizaur, Francisco Torres Limiting measures and energy growth for sequences of solutions to Taubes’s Seiberg-Witten equations. (English) Zbl 1518.35091 J. Geom. Anal. 33, No. 9, Paper No. 269, 53 p. (2023). MSC: 35B40 37C40 81T13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Fagui; Chen, Niang An isoperimetric inequality of minimal hypersurfaces in spheres. (English) Zbl 1544.53010 Pac. J. Math. 324, No. 1, 143-156 (2023). Reviewer: Giorgio Saracco (Firenze) MSC: 53A10 53C24 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Notarnicola, Massimo; Peccati, Giovanni; Vidotto, Anna Functional convergence of Berry’s nodal lengths: approximate tightness and total disorder. (English) Zbl 1538.60073 J. Stat. Phys. 190, No. 5, Paper No. 97, 41 p. (2023). MSC: 60G60 60F05 34L20 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Xiangqing Localized nodal solutions for system of critical Choquard equations. (English) Zbl 1512.35032 Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107190, 27 p. (2023). MSC: 35B25 35B40 35J47 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Brunovský, Pavel; Joly, Romain; Raugel, Geneviève Generic transversality of heteroclinic and homoclinic orbits for scalar parabolic equations. (English) Zbl 1501.35244 J. Dyn. Differ. Equations 34, No. 4, 2639-2679 (2022). MSC: 35K57 35B10 35B30 35B40 37D05 37D15 37L45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Decio, Stefano Nodal sets of Steklov eigenfunctions near the boundary: inner radius estimates. (English) Zbl 1501.35135 Int. Math. Res. Not. 2022, No. 21, 16709-16729 (2022). MSC: 35J05 35J25 35P99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bérard, Pierre; Charron, Philippe; Helffer, Bernard Non-boundedness of the number of super level domains of eigenfunctions. (English) Zbl 1495.35129 J. Anal. Math. 146, No. 1, 127-164 (2022). MSC: 35P05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Muirhead, S. Boundedness of the nodal domains of additive Gaussian fields. (English) Zbl 1495.60018 Theory Probab. Math. Stat. 106, 143-155 (2022). MSC: 60G15 60G60 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beliaev, Dmitry; McAuley, Michael; Muirhead, Stephen Fluctuations of the number of excursion sets of planar Gaussian fields. (English) Zbl 1489.60056 Probab. Math. Phys. 3, No. 1, 105-144 (2022). MSC: 60G15 60G60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Fanghua; Zhu, Jiuyi Upper bounds of nodal sets for eigenfunctions of eigenvalue problems. (English) Zbl 1489.35034 Math. Ann. 382, No. 3-4, 1957-1984 (2022). Reviewer: Marius Ghergu (Dublin) MSC: 35J05 58J50 35P15 35P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kenig, Carlos E.; Zhu, Jiuyi; Zhuge, Jinping Doubling inequalities and nodal sets in periodic elliptic homogenization. (English) Zbl 1486.35028 Commun. Partial Differ. Equations 47, No. 3, 549-584 (2022). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35A02 35B45 35J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bérard, Pierre; Helffer, Bernard; Kiwan, Rola Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylinders. (English) Zbl 1476.58008 Proc. Am. Math. Soc. 150, No. 1, 439-453 (2022). MSC: 58C40 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ingremeau, Maxime Volumes of nodal sets for eigenfunctions of the Laplace operator (after Logunov and Malinnikova). (Volume d’ensembles nodaux de fonctions propres du Laplacien [d’après Logunov, Malinnikova, ainsi que Yau, Brüning, Donnelly-Feffermann, Hardt-Simon, ...].) (French) Zbl 1493.58014 Séminaire Bourbaki. Volume 2019/2021. Exposés 1166–1180. Avec table par noms d’auteurs de 1948/49 à 2019/21. Paris: Société Mathématique de France (SMF). Astérisque 430, 183-214, Exp. No. 1172 (2021). MSC: 58J50 35P05 × Cite Format Result Cite Review PDF Full Text: DOI
Cox, Graham; Jakobson, Dmitry; Karpukhin, Mikhail; Sire, Yannick Conformal invariants from nodal sets. II: Manifolds with boundary. (English) Zbl 1477.58018 J. Spectr. Theory 11, No. 2, 387-409 (2021). MSC: 58J50 53A40 53A55 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wigman, Igor On the expected Betti numbers of the nodal set of random fields. (English) Zbl 1481.60096 Anal. PDE 14, No. 6, 1797-1816 (2021). MSC: 60G60 57R99 60G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gerner, Wadim Zero set structure of real analytic Beltrami fields. (English) Zbl 1486.35335 J. Geom. Anal. 31, No. 10, 9928-9950 (2021). MSC: 35Q31 35Q35 35Q85 37C10 53Z05 58K45 76W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beck, Thomas; Hanin, Boris Level spacings and nodal sets at infinity for radial perturbations of the harmonic oscillator. (English) Zbl 1479.35261 Int. Math. Res. Not. 2021, No. 7, 5007-5036 (2021). Reviewer: Igor Bock (Bratislava) MSC: 35J10 35P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bérard, Pierre; Helffer, Bernard; Kiwan, Rola Courant-sharp property for Dirichlet eigenfunctions on the Möbius strip. (English) Zbl 1477.58005 Port. Math. (N.S.) 78, No. 1, 1-41 (2021). Reviewer: Hong-Ge Chen (Wuhan) MSC: 58C40 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gerner, Wadim Typical field lines of Beltrami flows and boundary field line behaviour of Beltrami flows on simply connected, compact, smooth manifolds with boundary. (English) Zbl 1470.35269 Ann. Global Anal. Geom. 60, No. 1, 65-82 (2021). MSC: 35Q31 35Q35 35Q85 37C10 37E35 37B20 53Z05 58K45 60B05 76W05 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beliaev, Dmitry; Muirhead, Stephen; Wigman, Igor Mean conservation of nodal volume and connectivity measures for Gaussian ensembles. (English) Zbl 1456.82454 Adv. Math. 378, Article ID 107521, 36 p. (2021). MSC: 82B43 82B20 60G60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chu, Jianchun; Jiang, Wenshuai A note on nodal sets on manifolds with lower Ricci bound. (English) Zbl 1480.58004 Methods Appl. Anal. 27, No. 4, 359-374 (2020). Reviewer: Bruno Simoes (Lisboa) MSC: 58E20 35J15 53C43 × Cite Format Result Cite Review PDF Full Text: DOI
Beliaev, Dmitry; McAuley, Michael; Muirhead, Stephen On the number of excursion sets of planar Gaussian fields. (English) Zbl 1469.60163 Probab. Theory Relat. Fields 178, No. 3-4, 655-698 (2020). MSC: 60G60 60G15 58K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beliaev, Dmitry; McAuley, Michael; Muirhead, Stephen Smoothness and monotonicity of the excursion set density of planar Gaussian fields. (English) Zbl 1455.60069 Electron. J. Probab. 25, Paper No. 93, 37 p. (2020). MSC: 60G60 60G15 58K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Klartag, Bo’az Unimodal value distribution of Laplace eigenfunctions and a monotonicity formula. (English) Zbl 1455.53066 Geom. Dedicata 208, 13-29 (2020). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C21 58J50 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Muthuraj, R.; Sasireka, A. Anti independence number on anti fuzzy graph. (English) Zbl 1538.05228 Adv. Math., Sci. J. 8, No. 3, 233-238 (2019). MSC: 05C69 05C72 × Cite Format Result Cite Review PDF Full Text: Link
Kim, Sunghan; Lee, Ki-Ahm; Shahgholian, Henrik Nodal sets for “broken” quasilinear PDEs. (English) Zbl 1433.35119 Indiana Univ. Math. J. 68, No. 4, 1113-1148 (2019). MSC: 35J62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Georgiev, Bogdan; Roy-Fortin, Guillaume Polynomial upper bound on interior Steklov nodal sets. (English) Zbl 1430.35178 J. Spectr. Theory 9, No. 3, 897-919 (2019). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35P20 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Fanghua; Shen, Zhongwei Nodal sets and doubling conditions in elliptic homogenization. (English) Zbl 1421.35074 Acta Math. Sin., Engl. Ser. 35, No. 6, 815-831 (2019). MSC: 35J15 35B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berkolaiko, Gregory; Cox, Graham; Marzuola, Jeremy L. Nodal deficiency, spectral flow, and the Dirichlet-to-Neumann map. (English) Zbl 1417.58022 Lett. Math. Phys. 109, No. 7, 1611-1623 (2019). MSC: 58J50 35B05 35P05 35J10 58J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Armentano, D.; Azaïs, J-M.; Ginsbourger, D.; León, J. R. Conditions for the finiteness of the moments of the volume of level sets. (English) Zbl 1412.60057 Electron. Commun. Probab. 24, Paper No. 17, 8 p. (2019). MSC: 60G15 60G60 60D05 20B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Enciso, Alberto; García-Ferrero, Maria Ángeles; Peralta-Salas, Daniel Approximation theorems for parabolic equations and movement of local hot spots. (English) Zbl 1412.35158 Duke Math. J. 168, No. 5, 897-939 (2019). Reviewer: Rodica Luca (Iaşi) MSC: 35K10 35B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Zhu, Jiuyi Doubling inequality and nodal sets for solutions of bi-Laplace equations. (English) Zbl 1417.35047 Arch. Ration. Mech. Anal. 232, No. 3, 1543-1595 (2019). Reviewer: Igor Bock (Bratislava) MSC: 35J91 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sarnak, Peter; Wigman, Igor Topologies of nodal sets of random band-limited functions. (English) Zbl 1414.58019 Commun. Pure Appl. Math. 72, No. 2, 275-342 (2019). Reviewer: Feng-Yu Wang (Swansea) MSC: 58J65 58J50 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chataur, David; Saralegi-Aranguren, Martintxo; Tanré, Daniel Intersection cohomology. Simplicial blow-up and rational homotopy. (English) Zbl 1418.55003 Memoirs of the American Mathematical Society 1214. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2887-7/print; 978-1-4704-4744-1/ebook). viii, 112 p. (2018). Reviewer: Dirk Schuetz (Durham) MSC: 55N33 55P62 57N80 55-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zelditch, Steve Local and global analysis of nodal sets. (English) Zbl 1405.58015 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 (ISBN 978-1-57146-361-6/hbk). Surveys in Differential Geometry 22, 365-406 (2018). MSC: 58J50 58-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dang, Nguyen Viet; Rivière, Gabriel Equidistribution of the conormal cycle of random nodal sets. (English) Zbl 1407.58010 J. Eur. Math. Soc. (JEMS) 20, No. 12, 3017-3071 (2018). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J50 58J65 35P20 60D05 58A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, Zuojuan; Zhou, Bo Nodal domain count and vertex bipartiteness. (English) Zbl 1488.05193 Ars Comb. 141, 369-374 (2018). MSC: 05C15 05C69 × Cite Format Result Cite Review PDF
Han, Xiaolong Distribution of the nodal sets of eigenfunctions on analytic manifolds. (English) Zbl 1402.58019 J. Spectr. Theory 8, No. 4, 1281-1293 (2018). MSC: 58J50 35J05 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Enciso, Alberto; Hartley, David; Peralta-Salas, Daniel Dislocations of arbitrary topology in Coulomb eigenfunctions. (English) Zbl 1400.35011 Rev. Mat. Iberoam. 34, No. 3, 1361-1371 (2018). MSC: 35B05 35J10 35P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blair, Matthew D.; Sogge, Christopher D. Concerning Toponogov’s theorem and logarithmic improvement of estimates of eigenfunctions. (English) Zbl 1394.58016 J. Differ. Geom. 109, No. 2, 189-221 (2018). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J51 35A99 42B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Enciso, Alberto; Hartley, David; Peralta-Salas, Daniel A problem of Berry and knotted zeros in the eigenfunctions of the harmonic oscillator. (English) Zbl 1421.35011 J. Eur. Math. Soc. (JEMS) 20, No. 2, 301-314 (2018). Reviewer: Mihai Pascu (Bucureşti) MSC: 35B05 35P05 35Q40 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Logunov, Alexander Nodal sets of Laplace eigenfunctions: proof of Nadirashvili’s conjecture and of the lower bound in Yau’s conjecture. (English) Zbl 1384.58021 Ann. Math. (2) 187, No. 1, 241-262 (2018). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 35P05 31B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Logunov, Alexander Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure. (English) Zbl 1384.58020 Ann. Math. (2) 187, No. 1, 221-239 (2018). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 35P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hezari, Hamid Applications of small-scale quantum ergodicity in nodal sets. (English) Zbl 1516.35292 Anal. PDE 11, No. 4, 855-871 (2018). MSC: 35P20 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Xiuyuan; Mishne, Gal; Steinerberger, Stefan The geometry of nodal sets and outlier detection. (English) Zbl 1391.35128 J. Number Theory 185, 48-64 (2018). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35J25 35J05 35P30 58J50 05C25 05C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gayet, Damien; Welschinger, Jean-Yves Betti numbers of random nodal sets of elliptic pseudo-differential operators. (English) Zbl 1394.58011 Asian J. Math. 21, No. 5, 811-840 (2017). Reviewer: Luigi Rodino (Torino) MSC: 58J40 60B20 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rivera, Alejandro Hole probability for nodal sets of the cut-off Gaussian free field. (English) Zbl 1373.81212 Adv. Math. 319, 1-39 (2017). MSC: 81Q10 35J05 81Q35 35P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Jui-En Lower bounds for nodal sets of biharmonic Steklov problems. (English) Zbl 1383.58005 J. Lond. Math. Soc., II. Ser. 95, No. 3, 763-784 (2017). Reviewer: Luigi Rodino (Torino) MSC: 58C40 58J50 58J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Drozd, Yuriy A.; Golovashchuk, Natalia S.; Zembyk, Vasyl V. Representations of nodal algebras of type E. (English) Zbl 1370.16009 Algebra Discrete Math. 23, No. 1, 16-34 (2017). MSC: 16G60 16G10 16G20 × Cite Format Result Cite Review PDF
Zhu, Jiuyi Interior nodal sets of Steklov eigenfunctions on surfaces. (English) Zbl 1342.35193 Anal. PDE 9, No. 4, 859-880 (2016). MSC: 35P15 35P20 58C40 28A78 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Enciso, Alberto; Peralta-Salas, Daniel Topological monsters in elliptic equations and spectral theory. (English) Zbl 1350.35009 EMS Surv. Math. Sci. 3, No. 1, 107-130 (2016). MSC: 35B05 35J15 58J50 35P05 × Cite Format Result Cite Review PDF Full Text: DOI
Toth, Gabor On the space of orthogonal multiplications in three and four dimensions and Cayley’s nodal cubic. (English) Zbl 1339.52003 Beitr. Algebra Geom. 57, No. 2, 407-439 (2016). MSC: 52A05 52A38 52B11 × Cite Format Result Cite Review PDF Full Text: DOI
Soave, Nicola; Tavares, Hugo; Terracini, Susanna; Zilio, Alessandro Hölder bounds and regularity of emerging free boundaries for strongly competing Schrödinger equations with nontrivial grouping. (English) Zbl 1386.35494 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 388-427 (2016). MSC: 35R35 35B25 35B45 35B53 35B65 35J47 35J91 35R06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hezari, Hamid; Rivière, Gabriel \(L^{p}\) norms, nodal sets, and quantum ergodicity. (English) Zbl 1332.81067 Adv. Math. 290, 938-966 (2016). MSC: 81Q35 81Q05 58J05 35P20 53C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zembyk, V. V. Representation type of nodal algebras of type \(E\). (Ukrainian. English summary) Zbl 1363.16037 Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 1, 119-140 (2015). MSC: 16G60 16G20 × Cite Format Result Cite Review PDF
Bellová, Katarína; Lin, Fang-Hua Nodal sets of Steklov eigenfunctions. (English) Zbl 1327.35263 Calc. Var. Partial Differ. Equ. 54, No. 2, 2239-2268 (2015). Reviewer: Davide Buoso (Torino) MSC: 35P05 35B05 35J05 35S05 47A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Xing; Zhu, Jiuyi A lower bound for the nodal sets of Steklov eigenfunctions. (English) Zbl 1327.58012 Math. Res. Lett. 22, No. 4, 1243-1253 (2015). Reviewer: Peter B. Gilkey (Eugene) MSC: 58C40 28A78 35P15 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Hairong; Tian, Long; Yang, Xiaoping The minimum numbers of nodal domains of spherical Grushin-harmonics. (English) Zbl 1323.33014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 126, 143-152 (2015). MSC: 33C55 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Lerario, Antonio; Lundberg, Erik Statistics on Hilbert’s 16th problem. (English) Zbl 1396.14049 Int. Math. Res. Not. 2015, No. 12, 4293-4321 (2015). Reviewer: Alexander Kovačec (Coimbra) MSC: 14P05 14P25 60D05 33C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ansari, Hajar; Vaezpour, Seyed Mansour Existence and multiplicity of solutions for fourth-order elliptic Kirchhoff equations with potential term. (English) Zbl 1319.35029 Complex Var. Elliptic Equ. 60, No. 5, 668-695 (2015). Reviewer: Marius Ghergu (Dublin) MSC: 35J35 35J60 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
El-Hajj, Layan; Toth, John A. Intersection bounds for nodal sets of planar Neumann eigenfunctions with interior analytic curves. (English) Zbl 1321.58030 J. Differ. Geom. 100, No. 1, 1-53 (2015). Reviewer: Semyon Dyatlov (Cambridge, MA) MSC: 58J51 35J05 35P15 35P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Roy-Fortin, Guillaume Nodal sets and growth exponents of Laplace eigenfunctions on surfaces. (English) Zbl 1316.58025 Anal. PDE 8, No. 1, 223-255 (2015). MSC: 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Álvarez-Caudevilla, Pablo; Galaktionov, Victor A. The \(p\)-Laplace equation in domains with multiple crack section via pencil operators. (English) Zbl 1312.35117 Adv. Nonlinear Stud. 15, No. 1, 91-116 (2015). MSC: 35J92 35A20 35B32 35J30 35P30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bérard, P.; Helffer, B. Remarks on the boundary set of spectral equipartitions. (English) Zbl 1322.35006 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 372, No. 2007, Article ID 20120492, 15 p. (2014). MSC: 35J05 35P05 35P15 35R01 81P16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tian, Long; Yang, Xiao-Ping Measure estimates of nodal sets of bi-harmonic functions. (English) Zbl 1317.31010 J. Differ. Equations 256, No. 2, 558-576 (2014). MSC: 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Drozd, Yu. A.; Zembyk, V. V. Representation type of nodal algebras of type \(D\). (English. Ukrainian original) Zbl 1312.16010 Ukr. Math. J. 66, No. 7, 1037-1047 (2014); translation from Ukr. Mat. Zh. 66, No. 7, 930-938 (2014). MSC: 16G60 16G20 × Cite Format Result Cite Review PDF Full Text: DOI
Karpukhin, Mikhail; Kokarev, Gerasim; Polterovich, Iosif Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces. (Bornes pour les multiplicités des valeurs propres de Steklov sur les surfaces riemanniennes.) (English. French summary) Zbl 1321.58027 Ann. Inst. Fourier 64, No. 6, 2481-2502 (2014). Reviewer: Laurent Guillopé (Nantes) MSC: 58J50 35P15 35J25 35B05 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Steinerberger, Stefan Lower bounds on nodal sets of eigenfunctions via the heat flow. (English) Zbl 1304.35455 Commun. Partial Differ. Equations 39, No. 12, 2240-2261 (2014). MSC: 35P15 35J05 35B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qviller, Nikolay Structure of node polynomials for curves on surfaces. (English) Zbl 1327.14035 Math. Nachr. 287, No. 11-12, 1394-1420 (2014). Reviewer: Richárd Rimányi (Chapel Hill) MSC: 14C17 05A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Helffer, Bernard; Hoffmann-Ostenhof, Thomas Minimal partitions for anisotropic tori. (English) Zbl 1321.58006 J. Spectr. Theory 4, No. 2, 221-233 (2014). Reviewer: Salah Mehdi (Metz) MSC: 58C40 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neate, Andrew; Truman, Aubrey Semiclassical wave functions and semiclassical dynamics for the Kepler/Coulomb problem. (English) Zbl 1302.81051 J. Phys. A, Math. Theor. 47, No. 22, Article ID 225302, 19 p. (2014). Reviewer: Piotr Garbaczewski (Opole) MSC: 81P20 81Q20 81R30 81Q05 81V45 70F05 60J60 22E70 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Xiaojun; Wang, Zhi-Qiang Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian. (English) Zbl 1327.35397 J. Differ. Equations 256, No. 8, 2965-2992 (2014). Reviewer: Giovanni Anello (Messina) MSC: 35R11 35J60 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Drozd, Yuriy A.; Zembyk, Vasyl V. Representations of nodal algebras of type \(A\). (English) Zbl 1321.16005 Algebra Discrete Math. 15, No. 2, 179-200 (2013). MSC: 16G10 16G60 16G20 × Cite Format Result Cite Review PDF Full Text: arXiv
Galaktionov, V. A.; Kamotski, I. V. Refined scattering and Hermitian spectral theory for linear higher-order Schrödinger equations. (English) Zbl 1313.35322 J. Partial Differ. Equations 26, No. 4, 305-362 (2013). MSC: 35Q55 35P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dasgupta, Hiranmay; Chakrabarti, Sucharita Connectedness and its applications. (English) Zbl 1297.54029 Int. Math. Forum 8, No. 37-40, 1889-1901 (2013). MSC: 54C08 × Cite Format Result Cite Review PDF Full Text: DOI
Zelditch, Steve Eigenfunctions and nodal sets. (English) Zbl 1352.53032 Cao, Huai-Dong (ed.) et al., Geometry and topology. Lectures given at the geometry and topology conferences at Harvard University, Cambridge, MA, USA, April 29–May 1, 2011 and Lehigh University, Bethlehem, PA, USA, May 25–27, 2012. Somerville, MA: International Press (ISBN 978-1-57146-269-5/hbk). Surveys in Differential Geometry 18, 237-308 (2013). MSC: 53C21 58J50 × Cite Format Result Cite Review PDF Full Text: arXiv
Helffer, Bernard; Hoffmann-Ostenhof, Thomas On a magnetic characterization of spectral minimal partitions. (English) Zbl 1282.35259 J. Eur. Math. Soc. (JEMS) 15, No. 6, 2081-2092 (2013). Reviewer: Rodica Luca (Iaşi) MSC: 35P05 35B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Canzani, Yaiza; Gover, A. Rod; Jakobson, Dmitry; Ponge, Raphaël Nullspaces of conformally invariant operators. Applications to \(Q_k\)-curvature. (English) Zbl 1282.53027 Electron. Res. Announc. Math. Sci. 20, 43-50 (2013). Reviewer: Xiang Gao (Qingdao) MSC: 53C21 58J50 53A30 53A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Zuji; Liu, Zhaoli Perturbed elliptic equations with oscillatory nonlinearities. (English) Zbl 1250.35079 Discrete Contin. Dyn. Syst. 32, No. 10, 3567-3585 (2012). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J20 35B08 35J62 × Cite Format Result Cite Review PDF Full Text: DOI
Helffer, B. Introduction to some conjectures for spectral minimal partitions. (English) Zbl 1247.35181 J. Egypt. Math. Soc. 19, No. 1-2, 45-51 (2011). MSC: 35R01 35P05 58J50 58J05 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Xiaolong; Lu, Guozhen A geometric covering lemma and nodal sets of eigenfunctions. (English) Zbl 1244.58013 Math. Res. Lett. 18, No. 2, 337-352 (2011). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 35R01 42B37 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Colding, Tobias H.; Minicozzi, William P. II Lower bounds for nodal sets of eigenfunctions. (English) Zbl 1238.58020 Commun. Math. Phys. 306, No. 3, 777-784 (2011). Reviewer: Themistocles M. Rassias (Athens) MSC: 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bourgain, Jean; Rudnick, Zeév On the nodal sets of toral eigenfunctions. (English) Zbl 1223.58025 Invent. Math. 185, No. 1, 199-237 (2011). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58J50 58C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bondarenko, V. M.; Pereguda, Yu. M. Description of P-numbers for nodal points of posets with positive definite Tits form. (Ukrainian. English summary) Zbl 1249.16015 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 21, 35-39 (2010). MSC: 16G20 15A63 11E04 06A06 16G60 × Cite Format Result Cite Review PDF
Gasiński, Leszek; Papageorgiou, Nikolaos S. On the existence of five nontrivial solutions for resonant problems with \(p\)-Laplacian. (English) Zbl 1216.35035 Discuss. Math., Differ. Incl. Control Optim. 30, No. 2, 169-189 (2010). MSC: 35J60 35J20 35J92 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Mischaikow, Konstantin; Wanner, Thomas Topology-guided sampling of nonhomogeneous random processes. (English) Zbl 1213.60072 Ann. Appl. Probab. 20, No. 3, 1068-1097 (2010). Reviewer: Alexander V. Bulinski (Moskva) MSC: 60G15 60G17 55N99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aramaki, Junichi Nodal sets and singular sets of solutions for semi-linear elliptic equations associated with superconductivity. (English) Zbl 1195.82103 Far East J. Math. Sci. (FJMS) 38, No. 2, 137-179 (2010). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 35J15 47F05 × Cite Format Result Cite Review PDF Full Text: Link
Liu, Hua; Du, Jinyuan; Shang, Guozhu The region of analytic functions for the convergence of trigonometric interpolation. (English) Zbl 1183.42002 J. Approx. Theory 162, No. 1, 54-63 (2010). MSC: 42A15 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Gasiński, Leszek; Papageorgiou, Nikolaos S. Nodal and multiple constant sign solutions for resonant \(p\)-Laplacian equations with a nonsmooth potential. (English) Zbl 1176.35088 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 11, 5747-5772 (2009). MSC: 35J87 35J20 58J70 49J40 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Jakobson, Dmitry; Mangoubi, Dan Tubular neighborhoods of nodal sets and diophantine approximation. (English) Zbl 1193.58017 Am. J. Math. 131, No. 4, 1109-1135 (2009). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lin, Fang Hua Complexity of solutions of partial differential equations. (English) Zbl 1158.35007 Ji, Lizhen (ed.) et al., Handbook of geometric analysis. No. 1. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-130-8/hbk). Advanced Lectures in Mathematics (ALM) 7, 229-258 (2008). Reviewer: Marcelo Furtado (Brasília) MSC: 35B05 35B38 35B25 14P15 35P99 × Cite Format Result Cite Review PDF
Shen, Chao-Liang The nodal sets of the eigenfunctions of a nonhomogeneous square membrane. (English) Zbl 1157.35071 Inverse Probl. 24, No. 5, Article ID 055007, 31 p. (2008). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35P05 35J05 74K10 35R30 × Cite Format Result Cite Review PDF Full Text: DOI
Poláčik, P.; Šverák, V. Zeros of complex caloric functions and singularities of complex viscous Burgers equation. (English) Zbl 1188.35153 J. Reine Angew. Math. 616, 205-217 (2008). MSC: 35Q35 76D03 76D05 35A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Komendarczyk, Rafal Tight Beltrami fields with symmetry. (English) Zbl 1148.53065 Geom. Dedicata 134, 217-238 (2008). MSC: 53D35 57M50 57R17 53C20 53D10 53C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv