×
Author ID: carroll.tom Recent zbMATH articles by "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

Publications by Year

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 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