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Brooks, Robert Wolfe

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Author ID: brooks.robert-wolfe Recent zbMATH articles by "Brooks, Robert Wolfe"
Published as: Brooks, Robert; Brooks, R.
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Publications by Year

Citations contained in zbMATH Open

63 Publications have been cited 633 times in 457 Documents Cited by Year
The fundamental group and the spectrum of the Laplacian. Zbl 0495.58029
Brooks, Robert
66
1981
A relation between growth and the spectrum of the Laplacian. Zbl 0458.58024
Brooks, Robert
49
1981
The bottom of the spectrum of a Riemannian covering. Zbl 0553.53027
Brooks, Robert
36
1985
Random construction of Riemann surfaces. Zbl 1095.30037
Brooks, Robert; Makover, Eran
30
2004
The spectral geometry of a tower of coverings. Zbl 0576.58033
Brooks, Robert
29
1986
Some remarks on bounded cohomology. Zbl 0457.55002
Brooks, Robert
22
1981
Constructing isospectral manifolds. Zbl 0673.58046
Brooks, Robert
21
1988
Platonic surfaces. Zbl 0920.30037
Brooks, Robert
20
1999
Isospectral surfaces of small genus. Zbl 0605.58041
Brooks, Robert; Tse, Richard
19
1987
Isospectral sets of conformally equivalent metrics. Zbl 0667.53037
Brooks, Robert; Perry, Peter; Yang, Paul
19
1989
Collars in Kleinian groups. Zbl 0484.30029
Brooks, Robert; Matelski, J. Peter
18
1982
Mutually isospectral Riemann surfaces. Zbl 0997.53031
Brooks, Robert; Gornet, Ruth; Gustafson, William H.
16
1998
On manifolds of negative curvature with isospectral potentials. Zbl 0617.53048
Brooks, Robert
16
1987
On the spectrum of non-compact manifolds with finite volume. Zbl 0537.58040
Brooks, Robert
15
1985
On the deformation theory of classical Schottky groups. Zbl 0587.58060
Brooks, Robert
15
1985
Riemann surfaces with large first eigenvalue. Zbl 0981.30031
Brooks, Robert; Makover, Eran
13
2001
The spectral geometry of \(k\)-regular groups. Zbl 0772.58061
Brooks, Robert
13
1991
Compactness and finiteness theorems for isospectral manifolds. Zbl 0737.53038
Brooks, Robert; Perry, Peter; Petersen, Peter V
12
1992
Circle packings and co-compact extensions of Kleinian groups. Zbl 0578.30037
Brooks, Robert
11
1986
Amenability and the spectrum of the Laplacian. Zbl 0489.58033
Brooks, Robert
11
1982
Bounded cohomology for surface groups. Zbl 0523.55011
Brooks, Robert; Series, Caroline
10
1984
Volumes in Seifert space. Zbl 0546.57003
Brooks, Robert; Goldman, William
10
1984
The Godbillon-Vey invariant of transversely homogeneous foliations. Zbl 0548.57016
Brooks, Robert; Goldman, William
10
1984
The spectral geometry of the Apollonian packing. Zbl 0575.52009
Brooks, Robert
8
1985
The Sunada method. Zbl 0935.58018
Brooks, Robert
7
1999
Isoscattering Schottky manifolds. Zbl 0966.58018
Brooks, Robert; Gornet, Ruth; Perry, Peter
7
2000
The dynamic of 2-generator subgroups of PSL(2,C). Zbl 0467.30034
Brooks, Robert; Matelski, J. Peter
7
1981
On Cheeger’s inequality. Zbl 0809.53049
Brooks, Robert; Perry, Peter; Petersen, Peter V
7
1993
Isospectral families of conformally equivalent Riemannian metrics. Zbl 0722.58045
Brooks, Robert; Gordon, Carolyn
7
1990
Certain subgroups of the fundamental group and the number of roots of \(f(x)=a\). Zbl 0319.55015
Brooks, R.
7
1973
Belyi surfaces. Zbl 1093.30037
Brooks, Robert; Makover, Eran
6
2001
Non-Sunada graphs. Zbl 0926.58021
Brooks, Robert
6
1999
Spectral geometry and the Cheeger constant. Zbl 0788.58055
Brooks, Robert
6
1993
Some geometric aspects of the work of Lars Ahlfors. Zbl 0977.30001
Brooks, Robert
5
2000
On branched coverings of 3-manifolds which fiber over the circle. Zbl 0565.57006
Brooks, Robert
5
1985
On some formulas for the characteristic classes of group-actions. (Appendix by Robert Brooks). Zbl 0393.57011
Bott, Raoul
5
1978
A construction of metrics of negative Ricci curvature. Zbl 0628.53043
Brooks, Robert
5
1989
The A-genus of complex hypersurfaces and complete intersections. Zbl 0516.53049
Brooks, Robert
5
1983
Isoscattering on surfaces. Zbl 1040.58010
Brooks, Robert; Davidovich, Orit
4
2003
The spectral geometry of foliations. Zbl 0557.58024
Brooks, Robert
4
1984
Exponential growth and the spectrum of the Laplacian. Zbl 0466.58028
Brooks, Robert
4
1981
Some relations between spectral geometry and number theory. Zbl 0764.58031
Brooks, Robert
4
1992
Some remarks on volume and diameter of Riemannian manifolds. Zbl 0637.53059
Brooks, Robert
4
1988
Injectivity radius and low eigenvalues of hyperbolic manifolds. Zbl 0641.53041
Brooks, Robert
4
1988
Volumes and characteristic classes of foliations. Zbl 0436.57012
Brooks, Robert
3
1979
Isophasal scattering manifolds in two dimensions. Zbl 1005.58011
Brooks, Robert; Perry, Peter A.
3
2001
\(k\)-regular graphs and Hecke surfaces. Zbl 1099.20024
Brooks, Robert; Monastyrsky, M.
3
2005
On the angles between certain arithmetically defined subspaces of \({\mathbb C}^ n\). Zbl 0611.15003
Brooks, Robert
3
1987
The first eigenvalue of a scalene triangle. Zbl 0675.58040
Brooks, Robert; Waksman, Peter
3
1987
On the asymptotic isoperimetric constants for Riemann surfaces and graphs. Zbl 1065.05091
Brooks, Robert; Zuk, Andrzej
2
2002
Twist surfaces. Zbl 0947.30032
Brooks, Robert
2
1999
Some relations between graph theory and Riemann surfaces. Zbl 0890.30027
Brooks, Robert
2
1997
Isospectral graphs and isospectral surfaces. Zbl 0910.05042
Brooks, Robert
2
1997
The first eigenvalue in a tower of coverings. Zbl 0579.58031
Brooks, Robert
2
1985
The continued fraction parameter in the deformation theory of classical Schottky groups. Zbl 0767.30037
Brooks, Robert
2
1992
The first eigenvalue of a Riemann surface. Zbl 0948.58003
Brooks, Robert; Makover, Eran
1
1999
Number theory, theta identities, and modular curves. Zbl 0870.30030
Brooks, Robert; Farkas, Hershel M.; Kra, Irwin
1
1997
Uniformization of some quotients of modular curves. Zbl 0870.30029
Brooks, Robert; Kopeliovich, Yaacov
1
1997
Inverse spectral geometry. Zbl 0891.58038
Brooks, Robert
1
1997
An \(L^ p\) spectral bootstrap theorem. Zbl 0814.58038
Brooks, Robert; Glezen, Paul
1
1994
The spectral geometry of flat disks. Zbl 0712.58012
Brooks, Robert; Eliashberg, Yakov; McMullen, C.
1
1990
The van Est theorem for groups of diffeomorphisms. Zbl 0422.58013
Brooks, Robert; Trauber, Philip
1
1978
Correction to “Isospectral surfaces of small genus”. Zbl 0677.30026
Brooks, Robert; Tse, Richard
1
1990
\(k\)-regular graphs and Hecke surfaces. Zbl 1099.20024
Brooks, Robert; Monastyrsky, M.
3
2005
Random construction of Riemann surfaces. Zbl 1095.30037
Brooks, Robert; Makover, Eran
30
2004
Isoscattering on surfaces. Zbl 1040.58010
Brooks, Robert; Davidovich, Orit
4
2003
On the asymptotic isoperimetric constants for Riemann surfaces and graphs. Zbl 1065.05091
Brooks, Robert; Zuk, Andrzej
2
2002
Riemann surfaces with large first eigenvalue. Zbl 0981.30031
Brooks, Robert; Makover, Eran
13
2001
Belyi surfaces. Zbl 1093.30037
Brooks, Robert; Makover, Eran
6
2001
Isophasal scattering manifolds in two dimensions. Zbl 1005.58011
Brooks, Robert; Perry, Peter A.
3
2001
Isoscattering Schottky manifolds. Zbl 0966.58018
Brooks, Robert; Gornet, Ruth; Perry, Peter
7
2000
Some geometric aspects of the work of Lars Ahlfors. Zbl 0977.30001
Brooks, Robert
5
2000
Platonic surfaces. Zbl 0920.30037
Brooks, Robert
20
1999
The Sunada method. Zbl 0935.58018
Brooks, Robert
7
1999
Non-Sunada graphs. Zbl 0926.58021
Brooks, Robert
6
1999
Twist surfaces. Zbl 0947.30032
Brooks, Robert
2
1999
The first eigenvalue of a Riemann surface. Zbl 0948.58003
Brooks, Robert; Makover, Eran
1
1999
Mutually isospectral Riemann surfaces. Zbl 0997.53031
Brooks, Robert; Gornet, Ruth; Gustafson, William H.
16
1998
Some relations between graph theory and Riemann surfaces. Zbl 0890.30027
Brooks, Robert
2
1997
Isospectral graphs and isospectral surfaces. Zbl 0910.05042
Brooks, Robert
2
1997
Number theory, theta identities, and modular curves. Zbl 0870.30030
Brooks, Robert; Farkas, Hershel M.; Kra, Irwin
1
1997
Uniformization of some quotients of modular curves. Zbl 0870.30029
Brooks, Robert; Kopeliovich, Yaacov
1
1997
Inverse spectral geometry. Zbl 0891.58038
Brooks, Robert
1
1997
An \(L^ p\) spectral bootstrap theorem. Zbl 0814.58038
Brooks, Robert; Glezen, Paul
1
1994
On Cheeger’s inequality. Zbl 0809.53049
Brooks, Robert; Perry, Peter; Petersen, Peter V
7
1993
Spectral geometry and the Cheeger constant. Zbl 0788.58055
Brooks, Robert
6
1993
Compactness and finiteness theorems for isospectral manifolds. Zbl 0737.53038
Brooks, Robert; Perry, Peter; Petersen, Peter V
12
1992
Some relations between spectral geometry and number theory. Zbl 0764.58031
Brooks, Robert
4
1992
The continued fraction parameter in the deformation theory of classical Schottky groups. Zbl 0767.30037
Brooks, Robert
2
1992
The spectral geometry of \(k\)-regular groups. Zbl 0772.58061
Brooks, Robert
13
1991
Isospectral families of conformally equivalent Riemannian metrics. Zbl 0722.58045
Brooks, Robert; Gordon, Carolyn
7
1990
The spectral geometry of flat disks. Zbl 0712.58012
Brooks, Robert; Eliashberg, Yakov; McMullen, C.
1
1990
Correction to “Isospectral surfaces of small genus”. Zbl 0677.30026
Brooks, Robert; Tse, Richard
1
1990
Isospectral sets of conformally equivalent metrics. Zbl 0667.53037
Brooks, Robert; Perry, Peter; Yang, Paul
19
1989
A construction of metrics of negative Ricci curvature. Zbl 0628.53043
Brooks, Robert
5
1989
Constructing isospectral manifolds. Zbl 0673.58046
Brooks, Robert
21
1988
Some remarks on volume and diameter of Riemannian manifolds. Zbl 0637.53059
Brooks, Robert
4
1988
Injectivity radius and low eigenvalues of hyperbolic manifolds. Zbl 0641.53041
Brooks, Robert
4
1988
Isospectral surfaces of small genus. Zbl 0605.58041
Brooks, Robert; Tse, Richard
19
1987
On manifolds of negative curvature with isospectral potentials. Zbl 0617.53048
Brooks, Robert
16
1987
On the angles between certain arithmetically defined subspaces of \({\mathbb C}^ n\). Zbl 0611.15003
Brooks, Robert
3
1987
The first eigenvalue of a scalene triangle. Zbl 0675.58040
Brooks, Robert; Waksman, Peter
3
1987
The spectral geometry of a tower of coverings. Zbl 0576.58033
Brooks, Robert
29
1986
Circle packings and co-compact extensions of Kleinian groups. Zbl 0578.30037
Brooks, Robert
11
1986
The bottom of the spectrum of a Riemannian covering. Zbl 0553.53027
Brooks, Robert
36
1985
On the spectrum of non-compact manifolds with finite volume. Zbl 0537.58040
Brooks, Robert
15
1985
On the deformation theory of classical Schottky groups. Zbl 0587.58060
Brooks, Robert
15
1985
The spectral geometry of the Apollonian packing. Zbl 0575.52009
Brooks, Robert
8
1985
On branched coverings of 3-manifolds which fiber over the circle. Zbl 0565.57006
Brooks, Robert
5
1985
The first eigenvalue in a tower of coverings. Zbl 0579.58031
Brooks, Robert
2
1985
Bounded cohomology for surface groups. Zbl 0523.55011
Brooks, Robert; Series, Caroline
10
1984
Volumes in Seifert space. Zbl 0546.57003
Brooks, Robert; Goldman, William
10
1984
The Godbillon-Vey invariant of transversely homogeneous foliations. Zbl 0548.57016
Brooks, Robert; Goldman, William
10
1984
The spectral geometry of foliations. Zbl 0557.58024
Brooks, Robert
4
1984
The A-genus of complex hypersurfaces and complete intersections. Zbl 0516.53049
Brooks, Robert
5
1983
Collars in Kleinian groups. Zbl 0484.30029
Brooks, Robert; Matelski, J. Peter
18
1982
Amenability and the spectrum of the Laplacian. Zbl 0489.58033
Brooks, Robert
11
1982
The fundamental group and the spectrum of the Laplacian. Zbl 0495.58029
Brooks, Robert
66
1981
A relation between growth and the spectrum of the Laplacian. Zbl 0458.58024
Brooks, Robert
49
1981
Some remarks on bounded cohomology. Zbl 0457.55002
Brooks, Robert
22
1981
The dynamic of 2-generator subgroups of PSL(2,C). Zbl 0467.30034
Brooks, Robert; Matelski, J. Peter
7
1981
Exponential growth and the spectrum of the Laplacian. Zbl 0466.58028
Brooks, Robert
4
1981
Volumes and characteristic classes of foliations. Zbl 0436.57012
Brooks, Robert
3
1979
On some formulas for the characteristic classes of group-actions. (Appendix by Robert Brooks). Zbl 0393.57011
Bott, Raoul
5
1978
The van Est theorem for groups of diffeomorphisms. Zbl 0422.58013
Brooks, Robert; Trauber, Philip
1
1978
Certain subgroups of the fundamental group and the number of roots of \(f(x)=a\). Zbl 0319.55015
Brooks, R.
7
1973
all top 5

Cited by 529 Authors

22 Brooks, Robert Wolfe
15 Gordon, Carolyn S.
9 Webb, David L.
8 Fujiwara, Koji
8 Parlier, Hugo
6 Mari, Luciano
6 Matsuzaki, Katsuhiko
6 Perry, Peter A.
6 Petri, Bram
6 Polymerakis, Panagiotis
5 Ballmann, Hans Werner
5 Burger, Marc
5 Derbez, Pierre
5 Falk, Kurt
5 Jaerisch, Johannes
5 Lubotzky, Alexander
5 Makover, Eran
5 Matthiesen, Henrik
5 Mondal, Sugata
5 Reid, Alan W.
5 Rigoli, Marco
5 Saloff-Coste, Laurent
5 Wang, Shi Cheng
4 Bromberg, Kenneth W.
4 Colbois, Bruno
4 DeTurck, Dennis M.
4 Gornet, Ruth
4 Kent, Autumn Exum
4 Schüth, Dorothee
4 Williams, G. Brock
3 Branson, Thomas Patrick
3 Brock, Jeffrey F.
3 Calegari, Danny Matthew Cornelius
3 Dougall, Rhiannon
3 Gilkey, Peter B.
3 Iozzi, Alessandra
3 Jakobson, Dmitry
3 Kappeler, Thomas
3 Keller, Matthias
3 Lackenby, Marc
3 Lanphier, Dominic
3 Lenz, Daniel H.
3 Linowitz, Benjamin
3 Liu, Yi
3 McMullen, Curtis Tracy
3 Meda, Stefano
3 Bessa, Gregório Pacelli
3 Peyerimhoff, Norbert
3 Proctor, Emily
3 Sarnak, Peter Clive
3 Sharp, Richard W.
3 Souto, Juan
3 Stanhope, Elizabeth
3 Stephenson, Kenneth
3 Sun, Hongbin
3 Woess, Wolfgang
3 Xu, Xingwang
2 Anderson, Michael T.
2 Arzhantseva, Goulnara N.
2 Balacheff, Florent
2 Belolipetsky, Mikhail V.
2 Bérard, Pierre H.
2 Bestvina, Mladen
2 Bianchini, Bruno
2 Borthwick, David
2 Bourgain, Jean
2 Budzinski, Thomas
2 Buser, Peter
2 Cao, Jianguo
2 Curien, Nicolas
2 De Mesmay, Arnaud
2 Dingoyan, Pascal
2 Evans, Richard Allen
2 Even-Zohar, Chaim
2 Farber, Michael S.
2 Gamburd, Alexander
2 Gehring, Frederick William
2 Goldman, William M.
2 Grigor’yan, Alexander Asaturovich
2 Guth, Lawrence David
2 Hua, Bobo
2 Hubard, Alfredo
2 Ilias, Saïd
2 Jammes, Pierre
2 Ji, Lizhen
2 Jorgenson, Jay Alan
2 Kaimanovich, Vadim A.
2 Kang, Hyunsuk
2 Kim, Inkang
2 Korotyaev, Evgeny L.
2 Kostenko, Aleksey S.
2 Kramer, Jürg
2 Kumura, Hironori
2 Liu, Jinsong
2 Löh, Clara
2 Long, Darren D.
2 Lu, Zhiqin
2 Maclachlan, Colin
2 Magee, Michael
2 Martin, Gaven J.
...and 429 more Authors
all top 5

Cited in 134 Serials

29 Duke Mathematical Journal
24 The Journal of Geometric Analysis
19 Mathematische Zeitschrift
15 Geometriae Dedicata
15 Inventiones Mathematicae
14 Mathematische Annalen
14 Proceedings of the American Mathematical Society
14 Geometric and Functional Analysis. GAFA
14 Bulletin of the American Mathematical Society. New Series
13 Annales de l’Institut Fourier
12 Transactions of the American Mathematical Society
11 Geometry & Topology
9 Israel Journal of Mathematics
9 Advances in Mathematics
8 Journal of Functional Analysis
7 Discrete Mathematics
7 Journal d’Analyse Mathématique
7 Annals of Global Analysis and Geometry
6 Tohoku Mathematical Journal. Second Series
6 Discrete & Computational Geometry
6 Algebraic & Geometric Topology
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Differential Geometry and its Applications
5 Communications in Partial Differential Equations
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Journal of Topology and Analysis
4 Acta Mathematica
4 Nagoya Mathematical Journal
4 Ergodic Theory and Dynamical Systems
4 Calculus of Variations and Partial Differential Equations
4 Conformal Geometry and Dynamics
4 Annals of Mathematics. Second Series
4 Journal of the European Mathematical Society (JEMS)
4 Groups, Geometry, and Dynamics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 The Mathematical Intelligencer
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Compositio Mathematica
3 Topology and its Applications
3 Revista Matemática Iberoamericana
3 Potential Analysis
3 Journal of Spectral Theory
2 Communications in Mathematical Physics
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Physics
2 Journal of Geometry and Physics
2 The Annals of Probability
2 Archiv der Mathematik
2 Bulletin of the London Mathematical Society
2 Publications Mathématiques
2 Manuscripta Mathematica
2 Michigan Mathematical Journal
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Mathematical Sciences (New York)
2 Transformation Groups
2 Journal of Topology
1 Bulletin of the Australian Mathematical Society
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Nonlinearity
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Bulletin de la Société Mathématique de France
1 Commentarii Mathematici Helvetici
1 Demonstratio Mathematica
1 Functional Analysis and its Applications
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Integral Equations and Operator Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Kodai Mathematical Journal
1 Memoirs of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Seminario Matematico della Università di Padova
1 Siberian Mathematical Journal
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Combinatorica
1 Probability Theory and Related Fields
1 Journal of Theoretical Probability
1 International Journal of Mathematics
1 Computational Geometry
1 International Journal of Algebra and Computation
1 IMRN. International Mathematics Research Notices
1 L’Enseignement Mathématique. 2e Série
1 Linear Algebra and its Applications
1 Acta Mathematica Sinica. New Series
1 Indagationes Mathematicae. New Series
1 Journal of Knot Theory and its Ramifications
1 Journal of Mathematical Imaging and Vision
1 Journal of Algebraic Combinatorics
...and 34 more Serials
all top 5

Cited in 43 Fields

175 Global analysis, analysis on manifolds (58-XX)
136 Differential geometry (53-XX)
106 Manifolds and cell complexes (57-XX)
88 Functions of a complex variable (30-XX)
71 Partial differential equations (35-XX)
56 Combinatorics (05-XX)
55 Group theory and generalizations (20-XX)
38 Probability theory and stochastic processes (60-XX)
32 Dynamical systems and ergodic theory (37-XX)
29 Number theory (11-XX)
24 Several complex variables and analytic spaces (32-XX)
21 Topological groups, Lie groups (22-XX)
20 Operator theory (47-XX)
16 Abstract harmonic analysis (43-XX)
14 Convex and discrete geometry (52-XX)
13 Algebraic topology (55-XX)
12 Algebraic geometry (14-XX)
12 Geometry (51-XX)
8 Measure and integration (28-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Potential theory (31-XX)
6 Ordinary differential equations (34-XX)
5 Difference and functional equations (39-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Functional analysis (46-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Quantum theory (81-XX)
3 Real functions (26-XX)
2 Mathematical logic and foundations (03-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 General topology (54-XX)
2 Computer science (68-XX)
2 Fluid mechanics (76-XX)
2 Relativity and gravitational theory (83-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Numerical analysis (65-XX)

Citations by Year

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