Edit Profile (opens in new tab) Cacciapuoti, Claudio Compute Distance To: Compute Author ID: cacciapuoti.claudio Published as: Cacciapuoti, Claudio; Cacciapuoti, C. External Links: ORCID Documents Indexed: 41 Publications since 2005 Co-Authors: 18 Co-Authors with 37 Joint Publications 582 Co-Co-Authors all top 5 Co-Authors 4 single-authored 13 Finco, Domenico 12 Posilicano, Andrea 10 Noja, Diego 8 Figari, Rodolfo 7 Carlone, Raffaele 7 Fermi, Davide 5 Adami, Riccardo 4 Teta, Alessandro 3 Albeverio, Sergio A. 2 Basti, Giulia 2 Maltsev, Anna V. 2 Schlein, Benjamin 1 Dovetta, Simone 1 Exner, Pavel 1 Mantile, Andrea 1 Pankrashkin, Konstantin 1 Serra, Enrico 1 Spreafico, Mauro all top 5 Serials 5 Journal of Mathematical Physics 5 Journal of Physics A: Mathematical and Theoretical 3 Journal of Differential Equations 2 Journal of Mathematical Analysis and Applications 2 Reviews in Mathematical Physics 2 Asymptotic Analysis 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 Nonlinearity 1 Reports on Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Probability Theory and Related Fields 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Annales Henri Poincaré 1 Milan Journal of Mathematics 1 Symmetry 1 Analysis and Mathematical Physics 1 Nanosystems. Physics, Chemistry, Mathematics 1 Analysis, Geometry and Number Theory all top 5 Fields 31 Quantum theory (81-XX) 21 Partial differential equations (35-XX) 12 Operator theory (47-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 417 times in 203 Documents Cited by ▼ Year ▼ Variational properties and orbital stability of standing waves for NLS equation on a star graph. Zbl 1300.35129Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 53 2014 Constrained energy minimization and orbital stability for the NLS equation on a star graph. Zbl 1304.81087Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 43 2014 On the structure of critical energy levels for the cubic focusing NLS on star graphs. Zbl 1247.81104Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 36 2012 Fast solitons on star graphs. Zbl 1222.35182Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 32 2011 Ground state and orbital stability for the NLS equation on a general starlike graph with potentials. Zbl 1373.35284Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 31 2017 Stable standing waves for a NLS on star graphs as local minimizers of the constrained energy. Zbl 1336.35316Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 30 2016 Variational and stability properties of constant solutions to the NLS equation on compact metric graphs. Zbl 1404.35470Cacciapuoti, Claudio; Dovetta, Simone; Serra, Enrico 18 2018 Coupling in the singular limit of thin quantum waveguides. Zbl 1137.81330Albeverio, Sergio; Cacciapuoti, Claudio; Finco, Domenico 17 2007 Bounds for the Stieltjes transform and the density of states of Wigner matrices. Zbl 1330.60014Cacciapuoti, Claudio; Maltsev, Anna; Schlein, Benjamin 15 2015 The NLS equation in dimension one with spatially concentrated nonlinearities: the pointlike limit. Zbl 1303.81072Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego; Teta, Alessandro 14 2014 Nontrivial edge coupling from a Dirichlet network squeezing: the case of a bent waveguide. Zbl 1136.81442Cacciapuoti, Claudio; Exner, Pavel 14 2007 Local Marchenko-Pastur law at the hard edge of sample covariance matrices. Zbl 1282.15031Cacciapuoti, Claudio; Maltsev, Anna; Schlein, Benjamin 11 2013 Graph-like models for thin waveguides with Robin boundary conditions. Zbl 1227.35238Cacciapuoti, Claudio; Finco, Domenico 10 2010 The three-body problem in dimension one: from short-range to contact interactions. Zbl 1394.81114Basti, Giulia; Cacciapuoti, Claudio; Finco, Domenico; Teta, Alessandro 8 2018 Scale invariant effective Hamiltonians for a graph with a small compact core. Zbl 1423.81082Cacciapuoti, Claudio 8 2019 The point-like limit for a NLS equation with concentrated nonlinearity in dimension three. Zbl 1378.35274Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego; Teta, Alessandro 8 2017 Decoherence induced by scattering: a three-dimensional model. Zbl 1070.81021Cacciapuoti, Claudio; Carlone, Raffaele; Figari, Rodolfo 7 2005 On inverses of Krein’s \(\mathcal{Q}\)-functions. Zbl 07064704Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea 6 2018 Relative-zeta and Casimir energy for a semitransparent hyperplane selecting transverse modes. Zbl 1374.81069Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea 6 2017 The one-dimensional Dirac equation with concentrated nonlinearity. Zbl 1371.35236Cacciapuoti, Claudio; Carlone, Raffaele; Noja, Diego; Posilicano, Andrea 6 2017 Resonances in models of SPIN-dependent point interactions. Zbl 1154.81014Cacciapuoti, C.; Carlone, R.; Figari, R. 5 2009 Spin-dependent point potentials in one and three dimensions. Zbl 1105.81028Cacciapuoti, Claudio; Carlone, Raffaele; Figari, Rodolfo 5 2007 Self-adjoint indefinite Laplacians. Zbl 1444.47039Cacciapuoti, Claudio; Pankrashkin, Konstantin; Posilicano, Andrea 5 2019 A solvable model of a tracking chamber. Zbl 1159.81009Cacciapuoti, Claudio; Carlone, Raffaele; Figari, Rodolfo 4 2007 Perturbations of eigenvalues embedded at threshold: two-dimensional solvable models. Zbl 1272.81053Cacciapuoti, Claudio; Carlone, Raffaele; Figari, Rodolfo 4 2011 Perturbations of eigenvalues embedded at threshold. I: One- and three-dimensional solvable models. Zbl 1204.81059Cacciapuoti, Claudio; Carlone, Raffaele; Figari, Rodolfo 4 2010 Existence of the ground state for the NLS with potential on graphs. Zbl 1428.35487Cacciapuoti, Claudio 4 2018 Scattering from local deformations of a semitransparent plane. Zbl 1410.81033Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea 2 2019 Point interactions in acoustics: one-dimensional models. Zbl 1112.76065Cacciapuoti, C.; Figari, R.; Posilicano, A. 2 2006 Graph-like asymptotics for the Dirichlet Laplacian in connected tubular domains. Zbl 1423.81081Cacciapuoti, Claudio 2 2017 Relative partition function of Coulomb plus delta interaction. Zbl 1372.81129Albeverio, Sergio; Cacciapuoti, Claudio; Spreafico, Mauro 2 2017 Well posedness of the nonlinear Schrödinger equation with isolated singularities. Zbl 1479.35263Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 2 2021 The semi-classical limit with a delta potential. Zbl 1460.81031Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea 1 2021 The semiclassical limit on a star-graph with Kirchhoff conditions. Zbl 1457.81047Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea 1 2021 Corrigendum to “Scattering from local deformations of a semitransparent plane”. Zbl 1441.81131Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea 1 2020 Well posedness of the nonlinear Schrödinger equation with isolated singularities. Zbl 1479.35263Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 2 2021 The semi-classical limit with a delta potential. Zbl 1460.81031Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea 1 2021 The semiclassical limit on a star-graph with Kirchhoff conditions. Zbl 1457.81047Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea 1 2021 Corrigendum to “Scattering from local deformations of a semitransparent plane”. Zbl 1441.81131Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea 1 2020 Scale invariant effective Hamiltonians for a graph with a small compact core. Zbl 1423.81082Cacciapuoti, Claudio 8 2019 Self-adjoint indefinite Laplacians. Zbl 1444.47039Cacciapuoti, Claudio; Pankrashkin, Konstantin; Posilicano, Andrea 5 2019 Scattering from local deformations of a semitransparent plane. Zbl 1410.81033Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea 2 2019 Variational and stability properties of constant solutions to the NLS equation on compact metric graphs. Zbl 1404.35470Cacciapuoti, Claudio; Dovetta, Simone; Serra, Enrico 18 2018 The three-body problem in dimension one: from short-range to contact interactions. Zbl 1394.81114Basti, Giulia; Cacciapuoti, Claudio; Finco, Domenico; Teta, Alessandro 8 2018 On inverses of Krein’s \(\mathcal{Q}\)-functions. Zbl 07064704Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea 6 2018 Existence of the ground state for the NLS with potential on graphs. Zbl 1428.35487Cacciapuoti, Claudio 4 2018 Ground state and orbital stability for the NLS equation on a general starlike graph with potentials. Zbl 1373.35284Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 31 2017 The point-like limit for a NLS equation with concentrated nonlinearity in dimension three. Zbl 1378.35274Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego; Teta, Alessandro 8 2017 Relative-zeta and Casimir energy for a semitransparent hyperplane selecting transverse modes. Zbl 1374.81069Cacciapuoti, Claudio; Fermi, Davide; Posilicano, Andrea 6 2017 The one-dimensional Dirac equation with concentrated nonlinearity. Zbl 1371.35236Cacciapuoti, Claudio; Carlone, Raffaele; Noja, Diego; Posilicano, Andrea 6 2017 Graph-like asymptotics for the Dirichlet Laplacian in connected tubular domains. Zbl 1423.81081Cacciapuoti, Claudio 2 2017 Relative partition function of Coulomb plus delta interaction. Zbl 1372.81129Albeverio, Sergio; Cacciapuoti, Claudio; Spreafico, Mauro 2 2017 Stable standing waves for a NLS on star graphs as local minimizers of the constrained energy. Zbl 1336.35316Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 30 2016 Bounds for the Stieltjes transform and the density of states of Wigner matrices. Zbl 1330.60014Cacciapuoti, Claudio; Maltsev, Anna; Schlein, Benjamin 15 2015 Variational properties and orbital stability of standing waves for NLS equation on a star graph. Zbl 1300.35129Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 53 2014 Constrained energy minimization and orbital stability for the NLS equation on a star graph. Zbl 1304.81087Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 43 2014 The NLS equation in dimension one with spatially concentrated nonlinearities: the pointlike limit. Zbl 1303.81072Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego; Teta, Alessandro 14 2014 Local Marchenko-Pastur law at the hard edge of sample covariance matrices. Zbl 1282.15031Cacciapuoti, Claudio; Maltsev, Anna; Schlein, Benjamin 11 2013 On the structure of critical energy levels for the cubic focusing NLS on star graphs. Zbl 1247.81104Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 36 2012 Fast solitons on star graphs. Zbl 1222.35182Adami, Riccardo; Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego 32 2011 Perturbations of eigenvalues embedded at threshold: two-dimensional solvable models. Zbl 1272.81053Cacciapuoti, Claudio; Carlone, Raffaele; Figari, Rodolfo 4 2011 Graph-like models for thin waveguides with Robin boundary conditions. Zbl 1227.35238Cacciapuoti, Claudio; Finco, Domenico 10 2010 Perturbations of eigenvalues embedded at threshold. I: One- and three-dimensional solvable models. Zbl 1204.81059Cacciapuoti, Claudio; Carlone, Raffaele; Figari, Rodolfo 4 2010 Resonances in models of SPIN-dependent point interactions. Zbl 1154.81014Cacciapuoti, C.; Carlone, R.; Figari, R. 5 2009 Coupling in the singular limit of thin quantum waveguides. Zbl 1137.81330Albeverio, Sergio; Cacciapuoti, Claudio; Finco, Domenico 17 2007 Nontrivial edge coupling from a Dirichlet network squeezing: the case of a bent waveguide. Zbl 1136.81442Cacciapuoti, Claudio; Exner, Pavel 14 2007 Spin-dependent point potentials in one and three dimensions. Zbl 1105.81028Cacciapuoti, Claudio; Carlone, Raffaele; Figari, Rodolfo 5 2007 A solvable model of a tracking chamber. Zbl 1159.81009Cacciapuoti, Claudio; Carlone, Raffaele; Figari, Rodolfo 4 2007 Point interactions in acoustics: one-dimensional models. Zbl 1112.76065Cacciapuoti, C.; Figari, R.; Posilicano, A. 2 2006 Decoherence induced by scattering: a three-dimensional model. Zbl 1070.81021Cacciapuoti, Claudio; Carlone, Raffaele; Figari, Rodolfo 7 2005 all cited Publications top 5 cited Publications all top 5 Cited by 201 Authors 21 Adami, Riccardo 20 Cacciapuoti, Claudio 15 Carlone, Raffaele 14 Noja, Diego 14 Tentarelli, Lorenzo 13 Finco, Domenico 12 Dovetta, Simone 10 Posilicano, Andrea 9 Angulo Pava, Jaime 9 Götze, Friedrich 9 Teta, Alessandro 8 Fermi, Davide 8 Goloshchapova, Nataliia 8 Pelinovsky, Dmitry Efimovich 8 Tikhomirov, Alexander Nikolaevich 7 Figari, Rodolfo 7 Naumov, Alekseĭ Aleksandrovich 7 Serra, Enrico 6 Tilli, Paolo 5 Borisov, Denis Ivanovich 5 Cavalcante, Márcio André Araújo 5 Kairzhan, Adilbek 4 Correggi, Michele 4 Ignat, Liviu I. 4 Mantile, Andrea 3 Hernandez Ardila, Alex 3 Boni, Filippo 3 Borrelli, William 3 Griesemer, Marcel 3 Holmer, Justin 3 Le Coz, Stefan 3 Zolotaryuk, Alexander V. 2 Albeverio, Sergio A. 2 Ammari, Kais 2 Aoki, Kazuki 2 Banica, Valeria 2 Behrndt, Jussi 2 Berkolaiko, Gregory 2 Besse, Christophe 2 Bourgade, Paul 2 Capistrano-Filho, Roberto de A. 2 Cely, Liliana 2 Clark, Jeremy Thane 2 de Oliveira, César R. 2 Dell’Antonio, Gian Fausto 2 Duboscq, Romain 2 Exner, Pavel 2 Felli, Veronica 2 Fukuizumi, Reika 2 Gallego, Fernando Andrés 2 Gaspard, David 2 Goodman, Roy H. 2 Grecu, Andreea 2 Hofacker, Michael 2 Holzmann, Markus 2 Inui, Takahisa 2 Kopylova, Elena A. 2 Linden, Ulrich 2 Liu, Chang 2 Mizutani, Haruya 2 Moser, Thomas 2 Mugnolo, Delio 2 Pankov, Alexander A. 2 Pizzocchero, Livio 2 Plaza, Ramón G. 2 Post, Olaf 2 Rolando, Sergio 2 Rudelson, Mark 2 Schneider, Guido 2 Secchi, Simone 2 Seiringer, Robert 2 Shibata, Masataka 2 Sparenberg, Jean-Marc 2 Terracini, Susanna 2 Tien Cuong Dinh 2 Vershynin, Roman 2 von Below, Joachim 2 Yin, Jun 2 Zolotaryuk, Yaroslav 1 Abatangelo, Laura 1 Aggarwal, Amol 1 Aizenman, Michael 1 Akduman, Setenay 1 Alammari, Mashael 1 Ali Mehmeti, Felix 1 Arguin, Louis-Pierre 1 Band, Ram 1 Basti, Giulia 1 Bchatnia, Ahmed 1 Belius, David 1 Blanchard, Philippe 1 Boitsev, A. A. 1 Bouchitté, Guy 1 Bourget, Olivier 1 Brasche, Johannes Friedemann 1 Cardone, Giuseppe 1 Caudrelier, Vincent 1 Chang, Xiaojun 1 Chatterjee, Sourav 1 Chernyshev, Vsevolod L. ...and 101 more Authors all top 5 Cited in 81 Serials 15 Journal of Differential Equations 11 Journal of Mathematical Analysis and Applications 9 Journal of Mathematical Physics 7 Journal of Functional Analysis 7 Probability Theory and Related Fields 7 Annales Henri Poincaré 6 Communications in Mathematical Physics 6 Symmetry 5 Reports on Mathematical Physics 5 SIAM Journal on Mathematical Analysis 5 Calculus of Variations and Partial Differential Equations 5 Discrete and Continuous Dynamical Systems 4 Nonlinearity 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 4 NoDEA. Nonlinear Differential Equations and Applications 4 Doklady Mathematics 4 Communications on Pure and Applied Analysis 3 Reviews in Mathematical Physics 3 Advances in Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of Physics A: Mathematical and Theoretical 2 Nuclear Physics. B 2 Physics Letters. A 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Theory of Probability and its Applications 2 Integral Equations and Operator Theory 2 Proceedings of the American Mathematical Society 2 Physica D 2 Journal of Theoretical Probability 2 Mathematical Physics, Analysis and Geometry 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of Evolution Equations 2 Analysis & PDE 2 Analysis and Mathematical Physics 2 Annales Henri Lebesgue 1 Modern Physics Letters A 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Physics Letters. B 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Michigan Mathematical Journal 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Electronic Journal of Probability 1 The Journal of Fourier Analysis and Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Quantum Information Processing 1 International Journal of Quantum Information 1 Journal of Hyperbolic Differential Equations 1 Foundations of Physics 1 Waves in Random and Complex Media 1 Complex Variables and Elliptic Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Modelling of Natural Phenomena 1 São Paulo Journal of Mathematical Sciences 1 Random Matrices: Theory and Applications 1 Afrika Matematika 1 Communications in Applied and Industrial Mathematics 1 Evolution Equations and Control Theory 1 Séminaire Laurent Schwartz. EDP et Applications 1 Mathematics in Engineering 1 Pure and Applied Analysis 1 SMAI Journal of Computational Mathematics all top 5 Cited in 29 Fields 129 Partial differential equations (35-XX) 100 Quantum theory (81-XX) 41 Operator theory (47-XX) 27 Probability theory and stochastic processes (60-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 17 Ordinary differential equations (34-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 12 Combinatorics (05-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Functional analysis (46-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Optics, electromagnetic theory (78-XX) 4 Potential theory (31-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 3 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 2 Special functions (33-XX) 2 Numerical analysis (65-XX) 1 Algebraic geometry (14-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year