Edit Profile (opens in new tab) Carroll, Tom Co-Author Distance Author ID: carroll.tom Published as: Carroll, Tom Documents Indexed: 44 Publications since 1990, including 1 Additional arXiv Preprint Co-Authors: 26 Co-Authors with 35 Joint Publications 430 Co-Co-Authors all top 5 Co-Authors 9 single-authored 10 Bañuelos, Rodrigo 7 Ortega-Cerdà, Joaquim 7 Ratzkin, Jesse 3 Massaneda, Xavier 3 van den Berg, Michiel 1 Cowen, Carl C. 1 Drasin, David 1 Fall, Mouhamed Moustapha 1 Fink, Kenneth S. 1 Gardiner, Stephen J. 1 Gilmore, Clifford 1 Hayman, Walter Kurt 1 Hinkkanen, Aimo 1 Holland, Finbarr 1 Housworth, Elizabeth Ann 1 Hurley, Donal John 1 Johnson, Gregg A. 1 Langley, James K. 1 Mar, Doug 1 Marzo, Jordi 1 O’Donovan, Julie 1 O’Farrell, Tony 1 Pecora, Lou 1 Rippon, Philip Jonathan 1 Rugeihyamu, Sylvester E. 1 Twomey, John Brian all top 5 Serials 5 Irish Mathematical Society Bulletin 3 Bulletin of the London Mathematical Society 3 Computational Methods and Function Theory 2 Journal of Mathematical Analysis and Applications 2 Duke Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Michigan Mathematical Journal 2 Potential Analysis 2 Annales Academiae Scientiarum Fennicae. Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Annales de l’Institut Fourier 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 The Mathematical Scientist 1 Proceedings of the American Mathematical Society 1 Journal of Operator Theory 1 Complex Variables. Theory and Application 1 European Journal of Applied Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Mathematical Proceedings of the Royal Irish Academy 1 The Quarterly Journal of Mathematics 1 RIMS Kôkyûroku Bessatsu all top 5 Fields 14 Probability theory and stochastic processes (60-XX) 11 Functions of a complex variable (30-XX) 9 Potential theory (31-XX) 9 Partial differential equations (35-XX) 8 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 1 Number theory (11-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 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 235 times in 195 Documents Cited by ▼ Year ▼ Brownian motion and the fundamental frequency of a drum. Zbl 0817.58046 Bañuelos, Rodrigo; Carroll, Tom 40 1994 Synchronization stability in coupled oscillator arrays: solution for arbitrary configurations. Zbl 1090.34542 Pecora, Lou; Carroll, Tom; Johnson, Gregg; Mar, Doug; Fink, Kenneth S. 32 2000 Torsional rigidity and expected lifetime of Brownian motion. Zbl 1014.60076 Bañuelos, Rodrigo; van den Berg, M.; Carroll, Tom 26 2002 Hardy inequality and \(L^p\) estimates for the torsion function. Zbl 1180.35396 van den Berg, M.; Carroll, Tom 26 2009 Compact composition operators not in the Schatten classes. Zbl 0792.47031 Carroll, Tom; Cowen, Carl C. 12 1991 Interpolating between torsional rigidity and principal frequency. Zbl 1216.35016 Carroll, Tom; Ratzkin, Jesse 11 2011 Weighted composition operators on Fock spaces and their dynamics. Zbl 07358710 Carroll, Tom; Gilmore, Clifford 10 2021 The maximal expected lifetime of Brownian motion. Zbl 1318.60082 Bañuelos, Rodrigo; Carroll, Tom 9 2011 Configurations of balls in Euclidean space that Brownian motion cannot avoid. Zbl 1115.31004 Carroll, Tom; Ortega-Cerdà, Joaquim 8 2007 Sharp integrability for Brownian motion in parabola-shaped regions. Zbl 1061.60082 Bañuelos, Rodrigo; Carroll, Tom 7 2005 Extremal problems for conditioned Brownian motion and the hyperbolic metric. Zbl 0963.31001 Bañuelos, Rodrigo; Carroll, Tom 6 2000 Equidistribution and \(\beta\)-ensembles. Zbl 1410.60010 Carroll, Tom; Marzo, Jordi; Massaneda, Xavier; Ortega-Cerdà, Joaquim 6 2018 Lipschitz continuity of the Green function in denjoy domains. Zbl 1146.31005 Carroll, Tom; Gardiner, Stephen J. 5 2008 An enhanced uncertainty principle for the vaserstein distance. Zbl 1460.28003 Carroll, Tom; Massaneda, Xavier; Ortega-Cerdà, Joaquim 5 2020 Conditioned Brownian motion and hyperbolic geodesics in simply connected domains. Zbl 0805.60077 Bañuelos, Rodrigo; Carroll, Tom 4 1993 Two isoperimetric inequalities for the Sobolev constant. Zbl 1258.35154 Carroll, Tom; Ratzkin, Jesse 3 2012 On Lundh’s percolation diffusion. Zbl 1246.60115 Carroll, Tom; O’Donovan, Julie; Ortega-Cerdà, Joaquim 2 2012 Conformal mappings of close-to-convex domains. Zbl 0881.30004 Carroll, Tom; Twomey, J. B. 2 1997 An improvement of the Osserman constant for the bass note of a drum. Zbl 0846.58052 Bañuelos, Rodrigo; Carroll, Tom 2 1995 Addendum to “Brownian motion and the fundamental frequency of a drum”. Zbl 0847.58075 Bañuelos, Rodrigo; Carroll, Tom 2 1996 Boundary behaviour of positive harmonic functions on Lipschitz domains. Zbl 1035.31004 Carroll, Tom 2 2002 Conformal mapping of parabola-shaped domains. Zbl 1058.30010 Carroll, Tom; Hayman, W. K. 2 2004 The univalent Bloch-Landau constant, harmonic symmetry and conformal glueing. Zbl 1179.30007 Carroll, Tom; Ortega-Cerdà, Joaquim 2 2009 An extension of Jenkin’s condition for extremal domains associated with the univalent Bloch-Landau constant. Zbl 1153.30020 Carroll, Tom 1 2008 Inradius and integral means for Green’s functions and conformal mappings. Zbl 0899.30011 Bañuelos, Rodrigo; Carroll, Tom; Housworth, Elizabeth 1 1998 On the Bieberbach and Koebe constants of a simply connected domain. Zbl 1023.30023 Carroll, Tom; Rugeihyamu, Sylvester 1 2001 Old and new on the bass note, the torsion function and the hyperbolic metric. Zbl 1098.58502 Carroll, Tom 1 2001 Hermite polynomials and Brownian motion. Zbl 1021.60062 Carroll, Tom 1 2002 Monotonicity of the first Dirichlet eigenvalue of the Laplacian on manifolds of non-positive curvature. Zbl 1341.58020 Carroll, Tom; Ratzkin, Jesse 1 2016 The maximum voltage drop in an on-chip power distribution network: analysis of square, triangular and hexagonal power pad arrangements. Zbl 1308.68019 Carroll, Tom; Ortega-Cerdà, Joaquim 1 2014 On the rate of change of the sharp constant in the Sobolev-Poincaré inequality. Zbl 1381.35029 Carroll, Tom; Fall, Mouhamed Moustapha; Ratzkin, Jesse 1 2017 A reverse Hölder inequality for extremal Sobolev functions. Zbl 1308.35008 Carroll, Tom; Ratzkin, Jesse 1 2015 Stretching convex domains and the hyperbolic metric. Zbl 1213.30004 Bañuelos, Rodrigo; Carroll, Tom 1 2010 An isoperimetric inequality for extremal Sobolev functions. Zbl 1298.49063 Carroll, Tom; Ratzkin, Jesse 1 2013 Weighted composition operators on Fock spaces and their dynamics. Zbl 07358710 Carroll, Tom; Gilmore, Clifford 10 2021 An enhanced uncertainty principle for the vaserstein distance. Zbl 1460.28003 Carroll, Tom; Massaneda, Xavier; Ortega-Cerdà, Joaquim 5 2020 Equidistribution and \(\beta\)-ensembles. Zbl 1410.60010 Carroll, Tom; Marzo, Jordi; Massaneda, Xavier; Ortega-Cerdà, Joaquim 6 2018 On the rate of change of the sharp constant in the Sobolev-Poincaré inequality. Zbl 1381.35029 Carroll, Tom; Fall, Mouhamed Moustapha; Ratzkin, Jesse 1 2017 Monotonicity of the first Dirichlet eigenvalue of the Laplacian on manifolds of non-positive curvature. Zbl 1341.58020 Carroll, Tom; Ratzkin, Jesse 1 2016 A reverse Hölder inequality for extremal Sobolev functions. Zbl 1308.35008 Carroll, Tom; Ratzkin, Jesse 1 2015 The maximum voltage drop in an on-chip power distribution network: analysis of square, triangular and hexagonal power pad arrangements. Zbl 1308.68019 Carroll, Tom; Ortega-Cerdà, Joaquim 1 2014 An isoperimetric inequality for extremal Sobolev functions. Zbl 1298.49063 Carroll, Tom; Ratzkin, Jesse 1 2013 Two isoperimetric inequalities for the Sobolev constant. Zbl 1258.35154 Carroll, Tom; Ratzkin, Jesse 3 2012 On Lundh’s percolation diffusion. Zbl 1246.60115 Carroll, Tom; O’Donovan, Julie; Ortega-Cerdà, Joaquim 2 2012 Interpolating between torsional rigidity and principal frequency. Zbl 1216.35016 Carroll, Tom; Ratzkin, Jesse 11 2011 The maximal expected lifetime of Brownian motion. Zbl 1318.60082 Bañuelos, Rodrigo; Carroll, Tom 9 2011 Stretching convex domains and the hyperbolic metric. Zbl 1213.30004 Bañuelos, Rodrigo; Carroll, Tom 1 2010 Hardy inequality and \(L^p\) estimates for the torsion function. Zbl 1180.35396 van den Berg, M.; Carroll, Tom 26 2009 The univalent Bloch-Landau constant, harmonic symmetry and conformal glueing. Zbl 1179.30007 Carroll, Tom; Ortega-Cerdà, Joaquim 2 2009 Lipschitz continuity of the Green function in denjoy domains. Zbl 1146.31005 Carroll, Tom; Gardiner, Stephen J. 5 2008 An extension of Jenkin’s condition for extremal domains associated with the univalent Bloch-Landau constant. Zbl 1153.30020 Carroll, Tom 1 2008 Configurations of balls in Euclidean space that Brownian motion cannot avoid. Zbl 1115.31004 Carroll, Tom; Ortega-Cerdà, Joaquim 8 2007 Sharp integrability for Brownian motion in parabola-shaped regions. Zbl 1061.60082 Bañuelos, Rodrigo; Carroll, Tom 7 2005 Conformal mapping of parabola-shaped domains. Zbl 1058.30010 Carroll, Tom; Hayman, W. K. 2 2004 Torsional rigidity and expected lifetime of Brownian motion. Zbl 1014.60076 Bañuelos, Rodrigo; van den Berg, M.; Carroll, Tom 26 2002 Boundary behaviour of positive harmonic functions on Lipschitz domains. Zbl 1035.31004 Carroll, Tom 2 2002 Hermite polynomials and Brownian motion. Zbl 1021.60062 Carroll, Tom 1 2002 On the Bieberbach and Koebe constants of a simply connected domain. Zbl 1023.30023 Carroll, Tom; Rugeihyamu, Sylvester 1 2001 Old and new on the bass note, the torsion function and the hyperbolic metric. Zbl 1098.58502 Carroll, Tom 1 2001 Synchronization stability in coupled oscillator arrays: solution for arbitrary configurations. Zbl 1090.34542 Pecora, Lou; Carroll, Tom; Johnson, Gregg; Mar, Doug; Fink, Kenneth S. 32 2000 Extremal problems for conditioned Brownian motion and the hyperbolic metric. Zbl 0963.31001 Bañuelos, Rodrigo; Carroll, Tom 6 2000 Inradius and integral means for Green’s functions and conformal mappings. Zbl 0899.30011 Bañuelos, Rodrigo; Carroll, Tom; Housworth, Elizabeth 1 1998 Conformal mappings of close-to-convex domains. Zbl 0881.30004 Carroll, Tom; Twomey, J. B. 2 1997 Addendum to “Brownian motion and the fundamental frequency of a drum”. Zbl 0847.58075 Bañuelos, Rodrigo; Carroll, Tom 2 1996 An improvement of the Osserman constant for the bass note of a drum. Zbl 0846.58052 Bañuelos, Rodrigo; Carroll, Tom 2 1995 Brownian motion and the fundamental frequency of a drum. Zbl 0817.58046 Bañuelos, Rodrigo; Carroll, Tom 40 1994 Conditioned Brownian motion and hyperbolic geodesics in simply connected domains. Zbl 0805.60077 Bañuelos, Rodrigo; Carroll, Tom 4 1993 Compact composition operators not in the Schatten classes. Zbl 0792.47031 Carroll, Tom; Cowen, Carl C. 12 1991 all cited Publications top 5 cited Publications all top 5 Cited by 265 Authors 11 Carroll, Tom 9 van den Berg, Michiel 8 Bañuelos, Rodrigo 7 Brasco, Lorenzo 7 Queffélec, Hervé 7 Steinerberger, Stefan 6 Salakhudinov, Rustem Gumerovich 5 Li, Daniel 5 Rodríguez-Piazza, Luis 4 Andrievskii, Vladimir V. 4 Avkhadiev, Farit Gabidinovich 4 Markowsky, Greg T. 4 Mengestie, Tesfa Y. 4 Palmer, Vicente 3 Ameur, Yacin 3 Bartolucci, Daniele 3 Betsakos, Dimitrios 3 Boudabra, Maher 3 Bucur, Dorin 3 Deblassie, Dante 3 Hurtado, Ana 3 Jevnikar, Aleks Yang Wen 3 Kappeler, Thomas 3 Lefèvre, Pascal 3 Markvorsen, Steen 3 Sweers, Guido H. 2 Aikawa, Hiroaki 2 Akeroyd, John R. 2 Bianchi, Francesca 2 Bogdan, Krzysztof 2 Buttazzo, Giuseppe 2 Cao, Jinde 2 Chen, Guanrong 2 Chen, Tianping 2 El-Fallah, Omar 2 Fang, Qingxiang 2 Farinelli, Sara 2 Hasnaoui, Abdelhalim 2 Lu, Jianfeng 2 Mariano, Phanuel A. 2 Méndez-Hernández, Pedro J. 2 O’Donovan, Julie 2 Ortega-Cerdà, Joaquim 2 Bessa, Gregório Pacelli 2 Panzo, Hugo 2 Pinsky, Ross George 2 Ponnusamy, Saminathan 2 Ratzkin, Jesse 2 Romero, José Luis 2 Ruffini, Berardo 2 Seip, Kristian 2 Tang, Sufang 2 Wang, Wei 2 Xiao, Yuzhu 2 Zhang, Shiwen 1 Abreu, Luís Daniel 1 Ashwin, Peter 1 Azarnoush, Hamed 1 Barbosa, João Lucas Marques 1 Beltrán-Meneu, María J. 1 Benazzouz, H. 1 Bera, Bidesh K. 1 Berman, Robert J. 1 Biswas, Anup 1 Boccaletti, Stefano 1 Bollt, Erik M. 1 Bolthausen, Erwin 1 Bonet Solves, José 1 Borisov, Denis Ivanovich 1 Brown, Louis 1 Brown, Philip R. 1 Cao, Feilong 1 Cavalletti, Fabio 1 Chalendar, Isabelle 1 Chen, Shaolin 1 Cheng, Xiuyuan 1 Chenn, Ilias 1 Coccolo, Mattia 1 Coombes, Stephen 1 Crane, Edward 1 De Ponti, Nicolò 1 den Hollander, Frank 1 Dittmar, Bodo 1 Djitte, Sidy Moctar 1 Do, Tan Duc 1 Du, Qiang 1 Dutta, Arnab 1 Dyda, Bartłomiej 1 E.-Nagy, Marianna 1 El Ibbaoui, Mohamed 1 El-Nashar, Hassan F. 1 Elin, Mark 1 Erven, Matthias 1 Fall, Mouhamed Moustapha 1 Feilong, Cao 1 Fekadiea, Zenaw Asnake 1 Ferone, Vincenzo 1 Fleeman, Matthew C. 1 Franzina, Giovanni 1 Freitas, Pedro ...and 165 more Authors all top 5 Cited in 103 Serials 15 Potential Analysis 9 Proceedings of the American Mathematical Society 8 Journal of Mathematical Analysis and Applications 7 Journal of Functional Analysis 4 Journal d’Analyse Mathématique 4 Journal of Approximation Theory 4 Stochastic Processes and their Applications 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Russian Mathematics 4 Calculus of Variations and Partial Differential Equations 4 Electronic Communications in Probability 3 Chaos, Solitons and Fractals 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Transactions of the American Mathematical Society 3 Revista Matemática Iberoamericana 3 Nonlinear Dynamics 3 Computational Methods and Function Theory 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Nonlinearity 2 Arkiv för Matematik 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Mathematische Annalen 2 Probability Theory and Related Fields 2 The Journal of Geometric Analysis 2 Applied Mathematical Modelling 2 NoDEA. Nonlinear Differential Equations and Applications 2 Lobachevskii Journal of Mathematics 2 Complex Analysis and Operator Theory 2 Annales Fennici Mathematici 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 International Journal of Control 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Scientiarum Mathematicarum 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Automatica 1 Bulletin of the London Mathematical Society 1 Integral Equations and Operator Theory 1 Journal of Applied Probability 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Mathematika 1 Nagoya Mathematical Journal 1 Ricerche di Matematica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Journal of Complexity 1 Journal of Theoretical Probability 1 Neural Networks 1 European Journal of Applied Mathematics 1 The Annals of Applied Probability 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Nonlinear Science 1 Applied and Computational Harmonic Analysis 1 Integral Transforms and Special Functions 1 Electronic Journal of Probability 1 Izvestiya: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Conformal Geometry and Dynamics 1 Taiwanese Journal of Mathematics 1 Chaos 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 SIAM Journal on Applied Dynamical Systems 1 Analysis in Theory and Applications 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Stochastics 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Journal of Topology and Analysis 1 International Journal of Differential Equations 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annals of Functional Analysis 1 Analysis and Mathematical Physics ...and 3 more Serials all top 5 Cited in 40 Fields 68 Partial differential equations (35-XX) 48 Probability theory and stochastic processes (60-XX) 42 Functions of a complex variable (30-XX) 30 Operator theory (47-XX) 29 Potential theory (31-XX) 20 Ordinary differential equations (34-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Global analysis, analysis on manifolds (58-XX) 13 Functional analysis (46-XX) 11 Systems theory; control (93-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Differential geometry (53-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Combinatorics (05-XX) 7 Real functions (26-XX) 7 Biology and other natural sciences (92-XX) 6 Measure and integration (28-XX) 5 Fluid mechanics (76-XX) 5 Quantum theory (81-XX) 5 Information and communication theory, circuits (94-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Mechanics of deformable solids (74-XX) 3 Approximations and expansions (41-XX) 3 Convex and discrete geometry (52-XX) 3 Numerical analysis (65-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year