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Author ID: dodziuk.jozef Recent zbMATH articles by "Dodziuk, Jozef"
Published as: Dodziuk, Jozef; Dodziuk, Józef; Dodziuk, J.; Dodziuk, Josef
Homepage: http://qcpages.qc.cuny.edu/~jdodziuk/dodziuk.html
External Links: MGP · ResearchGate

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 1,020 times in 781 Documents Cited by Year
Eigenvalues in Riemannian geometry. With a chapter by Burton Randol. With an appendix by Jozef Dodziuk. Zbl 0551.53001
Chavel, Isaac
800
1984
Difference equations, isoperimetric inequality and transience of certain random walks. Zbl 0512.39001
Dodziuk, Jozef
175
1984
Maximum principle for parabolic inequalities and the heat flow on open manifolds. Zbl 0526.58047
Dodziuk, Jozef
77
1983
Spectral and function theory for combinatorial Laplacians. Zbl 0669.58031
Dodziuk, Jozef; Karp, Leon
74
1988
Finite-difference approach to the Hodge theory of harmonic forms. Zbl 0324.58001
Dodziuk, Jozef
66
1976
De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings. Zbl 0348.58001
Dodziuk, Jozef
60
1977
Approximating \(L ^{2}\)-invariants and the Atiyah conjecture. Zbl 1036.58017
Dodziuk, Józef; Linnell, Peter; Mathai, Varghese; Schick, Thomas; Yates, Stuart
58
2003
\(L^2\) harmonic forms on rotationally symmetric Riemannian manifolds. Zbl 0423.58002
Dodziuk, Jozef
49
1979
Combinatorial Laplacians and isoperimetric inequality. Zbl 0619.05005
Dodziuk, J.; Kendall, W. S.
43
1986
Riemannian structures and triangulations of manifolds. Zbl 0435.58004
Dodziuk, J.; Patodi, V. K.
42
1976
Riemannian metrics with large \(\lambda_ 1\). Zbl 0820.58056
Colbois, B.; Dodziuk, J.
35
1994
Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians. Zbl 1207.81024
Dodziuk, Józef; Mathai, Varghese
35
2006
Elliptic operators on infinite graphs. Zbl 1127.58034
Dodziuk, Józef
32
2006
Eigenvalues of the Laplacian on forms. Zbl 0502.58038
Dodziuk, Jozef
32
1982
Sobolev spaces of differential forms and de Rham-Hodge isomorphism. Zbl 0456.58001
Dodziuk, Jozef
23
1981
Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044
Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis
22
1987
Laplacian on manifolds and analogous difference operator for graphs. Zbl 0602.39004
Dodziuk, Jozef
20
1986
\(L^ 2-\)harmonic forms on complete manifolds. Zbl 0484.53033
Dodziuk, Jozef
18
1982
Vanishing theorems for square-integrable harmonic forms. Zbl 0479.53035
Dodziuk, Jozef
17
1981
Approximating \(L^2\) invariants of amenable covering spaces: A combinatorial approach. Zbl 0936.57018
Dodziuk, Jozef; Mathai, Varghese
15
1998
Lower bounds for \(\lambda _ 1\) on a finite-volume hyperbolic manifold. Zbl 0594.53036
Dodziuk, Jozef; Randol, Burton
13
1986
Integral structures on H-type Lie algebras. Zbl 1035.17018
Crandall, Gordon; Dodziuk, Józef
13
2002
Riemann surfaces of large genus and large \(\lambda _ 1\). Zbl 0646.53040
Buser, Peter; Burger, Marc; Dodziuk, Jozef
12
1988
An \(L_2\)-isolation theorem for Yang-Mills fields over complete manifolds. Zbl 0518.53039
Dodziuk, J.; Min-Oo, Maung
11
1982
Eigenvalues of the Laplacian and the heat equation. Zbl 0477.35072
Dodziuk, Jozef
10
1981
Tubes and eigenvalues for negatively curved manifolds. Zbl 0766.58054
Buser, P.; Colbois, B.; Dodziuk, J.
9
1993
Stability of spectra of Hodge-de Rham Laplacian. Zbl 1004.58016
Baker, Garth A.; Dodziuk, Józef
8
1997
Spectral asymptotics on degenerating hyperbolic 3-manifolds. Zbl 0914.58036
Dodziuk, Józef; Jorgenson, Jay
7
1998
Approximating \(L^2\) invariants of amenable covering spaces: a heat kernel approach. Zbl 0910.58037
Dodziuk, Józef; Mathai, Varghese
6
1997
The surjectivity of the combinatorial Laplacian on infinite graphs. Zbl 1267.05182
Ceccherini-Silberstein, Tullio; Coornaert, Michel; Dodziuk, Józef
6
2012
The spectrum of degenerating hyperbolic 3-manifolds. Zbl 0826.53037
Chavel, I.; Dodziuk, J.
5
1994
Sewing Riemannian manifolds with positive scalar curvature. Zbl 1407.53038
Basilio, J.; Dodziuk, J.; Sormani, C.
5
2018
The spectrum of the Hodge Laplacian for a degenerating family of hyperbolic three manifolds. Zbl 0849.58069
Dodziuk, Józef; McGowan, Jeffrey
3
1995
A lower bound for the first eigenvalue of a finite-volume negatively curved manifold. Zbl 0744.53021
Dodziuk, Josef
3
1987
Vanishing theorems for square-integrable harmonic forms. Zbl 0495.58002
Dodziuk, Jozef
3
1981
Every covering of a compact Riemann surface of genus greater than one carries a nontrivial \(L^ 2\) harmonic differential. Zbl 0541.30035
Dodziuk, Jozef
3
1984
Nonexistence of universal upper bounds for the first positive eigenvalue of the Laplace-Beltrami operator. Zbl 0810.58042
Dodziuk, Józef
2
1994
On the geometry and spectral asymptotics of degenerating hyperbolic three manifolds. Zbl 0867.58067
Dodziuk, Józef; Jorgenson, Jay
2
1997
Combinatorial and continuous Hodge theories. Zbl 0288.53053
Dodziuk, Jozef
2
1974
Report 9/2006: Mini-workshop: \(L^2\)-spectral invariants and the integrated density of states (February 19th – February 25th, 2006). Zbl 1109.58301
1
2006
Harmonic representatives for cuspidal cohomology classes. Zbl 1250.30037
Dodziuk, Józef; McGowan, Jeffrey; Perry, Peter
1
2012
A remark on Whitney’s proof of de Rham’s theorem. Zbl 0322.58002
Dodziuk, Józef
1
1976
Gromov-Lawson tunnels with estimates. Zbl 1481.53057
Dodziuk, Józef
1
2020
Gromov-Lawson tunnels with estimates. Zbl 1481.53057
Dodziuk, Józef
1
2020
Sewing Riemannian manifolds with positive scalar curvature. Zbl 1407.53038
Basilio, J.; Dodziuk, J.; Sormani, C.
5
2018
The surjectivity of the combinatorial Laplacian on infinite graphs. Zbl 1267.05182
Ceccherini-Silberstein, Tullio; Coornaert, Michel; Dodziuk, Józef
6
2012
Harmonic representatives for cuspidal cohomology classes. Zbl 1250.30037
Dodziuk, Józef; McGowan, Jeffrey; Perry, Peter
1
2012
Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians. Zbl 1207.81024
Dodziuk, Józef; Mathai, Varghese
35
2006
Elliptic operators on infinite graphs. Zbl 1127.58034
Dodziuk, Józef
32
2006
Report 9/2006: Mini-workshop: \(L^2\)-spectral invariants and the integrated density of states (February 19th – February 25th, 2006). Zbl 1109.58301
1
2006
Approximating \(L ^{2}\)-invariants and the Atiyah conjecture. Zbl 1036.58017
Dodziuk, Józef; Linnell, Peter; Mathai, Varghese; Schick, Thomas; Yates, Stuart
58
2003
Integral structures on H-type Lie algebras. Zbl 1035.17018
Crandall, Gordon; Dodziuk, Józef
13
2002
Approximating \(L^2\) invariants of amenable covering spaces: A combinatorial approach. Zbl 0936.57018
Dodziuk, Jozef; Mathai, Varghese
15
1998
Spectral asymptotics on degenerating hyperbolic 3-manifolds. Zbl 0914.58036
Dodziuk, Józef; Jorgenson, Jay
7
1998
Stability of spectra of Hodge-de Rham Laplacian. Zbl 1004.58016
Baker, Garth A.; Dodziuk, Józef
8
1997
Approximating \(L^2\) invariants of amenable covering spaces: a heat kernel approach. Zbl 0910.58037
Dodziuk, Józef; Mathai, Varghese
6
1997
On the geometry and spectral asymptotics of degenerating hyperbolic three manifolds. Zbl 0867.58067
Dodziuk, Józef; Jorgenson, Jay
2
1997
The spectrum of the Hodge Laplacian for a degenerating family of hyperbolic three manifolds. Zbl 0849.58069
Dodziuk, Józef; McGowan, Jeffrey
3
1995
Riemannian metrics with large \(\lambda_ 1\). Zbl 0820.58056
Colbois, B.; Dodziuk, J.
35
1994
The spectrum of degenerating hyperbolic 3-manifolds. Zbl 0826.53037
Chavel, I.; Dodziuk, J.
5
1994
Nonexistence of universal upper bounds for the first positive eigenvalue of the Laplace-Beltrami operator. Zbl 0810.58042
Dodziuk, Józef
2
1994
Tubes and eigenvalues for negatively curved manifolds. Zbl 0766.58054
Buser, P.; Colbois, B.; Dodziuk, J.
9
1993
Spectral and function theory for combinatorial Laplacians. Zbl 0669.58031
Dodziuk, Jozef; Karp, Leon
74
1988
Riemann surfaces of large genus and large \(\lambda _ 1\). Zbl 0646.53040
Buser, Peter; Burger, Marc; Dodziuk, Jozef
12
1988
Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044
Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis
22
1987
A lower bound for the first eigenvalue of a finite-volume negatively curved manifold. Zbl 0744.53021
Dodziuk, Josef
3
1987
Combinatorial Laplacians and isoperimetric inequality. Zbl 0619.05005
Dodziuk, J.; Kendall, W. S.
43
1986
Laplacian on manifolds and analogous difference operator for graphs. Zbl 0602.39004
Dodziuk, Jozef
20
1986
Lower bounds for \(\lambda _ 1\) on a finite-volume hyperbolic manifold. Zbl 0594.53036
Dodziuk, Jozef; Randol, Burton
13
1986
Eigenvalues in Riemannian geometry. With a chapter by Burton Randol. With an appendix by Jozef Dodziuk. Zbl 0551.53001
Chavel, Isaac
800
1984
Difference equations, isoperimetric inequality and transience of certain random walks. Zbl 0512.39001
Dodziuk, Jozef
175
1984
Every covering of a compact Riemann surface of genus greater than one carries a nontrivial \(L^ 2\) harmonic differential. Zbl 0541.30035
Dodziuk, Jozef
3
1984
Maximum principle for parabolic inequalities and the heat flow on open manifolds. Zbl 0526.58047
Dodziuk, Jozef
77
1983
Eigenvalues of the Laplacian on forms. Zbl 0502.58038
Dodziuk, Jozef
32
1982
\(L^ 2-\)harmonic forms on complete manifolds. Zbl 0484.53033
Dodziuk, Jozef
18
1982
An \(L_2\)-isolation theorem for Yang-Mills fields over complete manifolds. Zbl 0518.53039
Dodziuk, J.; Min-Oo, Maung
11
1982
Sobolev spaces of differential forms and de Rham-Hodge isomorphism. Zbl 0456.58001
Dodziuk, Jozef
23
1981
Vanishing theorems for square-integrable harmonic forms. Zbl 0479.53035
Dodziuk, Jozef
17
1981
Eigenvalues of the Laplacian and the heat equation. Zbl 0477.35072
Dodziuk, Jozef
10
1981
Vanishing theorems for square-integrable harmonic forms. Zbl 0495.58002
Dodziuk, Jozef
3
1981
\(L^2\) harmonic forms on rotationally symmetric Riemannian manifolds. Zbl 0423.58002
Dodziuk, Jozef
49
1979
De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings. Zbl 0348.58001
Dodziuk, Jozef
60
1977
Finite-difference approach to the Hodge theory of harmonic forms. Zbl 0324.58001
Dodziuk, Jozef
66
1976
Riemannian structures and triangulations of manifolds. Zbl 0435.58004
Dodziuk, J.; Patodi, V. K.
42
1976
A remark on Whitney’s proof of de Rham’s theorem. Zbl 0322.58002
Dodziuk, Józef
1
1976
Combinatorial and continuous Hodge theories. Zbl 0288.53053
Dodziuk, Jozef
2
1974
all top 5

Cited by 878 Authors

25 Keller, Matthias
14 Hua, Bobo
13 Colbois, Bruno
12 Lenz, Daniel H.
10 Wojciechowski, Radosław Krzysztof
9 Jorgenson, Jay Alan
9 Mathai, Varghese
9 Veselić, Ivan
8 Dodziuk, Jozef
8 El Soufi, Ahmad
8 Furutani, Kenro
8 Huang, Teng
8 Lu, Zhiqin
8 Peyerimhoff, Norbert
8 Schick, Thomas
8 Woess, Wolfgang
7 Grigor’yan, Alexander Asaturovich
7 Jost, Jürgen
7 Post, Olaf
6 Donnelly, Harold
6 Friedl, Stefan
6 Golénia, Sylvain
6 Güneysu, Batu
6 Liu, Shiping
6 Lück, Wolfgang
5 Albeverio, Sergio A.
5 Anné, Colette
5 Charalambous, Nelia
5 Christiansen, Snorre Harald
5 Elek, Gábor
5 Girouard, Alexandre
5 Lott, John
5 Lundelius, Rolf E.
5 Markina, Irina
5 Mazón Ruiz, José M.
5 Mohar, Bojan
5 Pogorzelski, Felix
5 Sauer, Roman
5 Schwarzenberger, Fabian
5 Setti, Alberto G.
4 Daletskii, Alexei
4 Hebey, Emmanuel
4 Huang, Xueping
4 Jammes, Pierre
4 Linnell, Peter Arnold
4 Masamune, Jun
4 Milatovic, Ognjen
4 Mondal, Sugata
4 Münch, Florentin
4 Nicolussi, Noema
4 Rigoli, Marco
4 Rosenthal, Ron
4 Saloff-Coste, Laurent
4 Shirai, Tomoyuki
4 Shubin, Mikhail Aleksandrovich
4 Soardi, Paolo Maurizio
4 Stepanov, Sergeĭ Evgen’evich
4 Torki-Hamza, Nabila
4 Truc, Françoise
4 Vertman, Boris
4 Yu, Chengjie
3 Bauer, Frank
3 Bauer, Wolfram
3 Benjamini, Itai
3 Bérard, Pierre H.
3 Bonnefont, Michel
3 Burger, Marc
3 Carmona, Ángeles
3 Chan, Chi Hin
3 Chavel, Isaac
3 Cioabă, Sebastian M.
3 Colin de Verdière, Yves
3 Coulhon, Thierry
3 Czubak, Magdalena
3 Duval, Art M.
3 Ellis, David Christopher
3 Encinas, Andrés M.
3 Etesi, Gábor
3 Filmus, Yuval
3 Friedgut, Ehud
3 Friedman, Joel
3 Fujiwara, Koji
3 Ge, Huabin
3 Guido, Daniele
3 Haeseler, Sebastian
3 Hamenstädt, Ursula
3 Isola, Tommaso
3 Isozaki, Hiroshi
3 Iwasaki, Chisato
3 Jaikin-Zapirain, Andrei
3 Kaimanovich, Vadim A.
3 Klivans, Caroline Jane
3 Kostenko, Aleksey S.
3 Kuz’minov, Vladimir I.
3 Li, Xiang-Dong
3 Lin, Yong
3 Lubotzky, Alexander
3 Martin, Jeremy L.
3 Morioka, Hisashi
3 Mugnolo, Delio
...and 778 more Authors
all top 5

Cited in 227 Serials

38 Journal of Functional Analysis
29 Transactions of the American Mathematical Society
27 Mathematische Zeitschrift
25 Proceedings of the American Mathematical Society
24 Sibirskie Èlektronnye Matematicheskie Izvestiya
22 Duke Mathematical Journal
21 The Journal of Geometric Analysis
20 Mathematische Annalen
16 Annals of Global Analysis and Geometry
15 Advances in Mathematics
14 Geometriae Dedicata
14 Geometric and Functional Analysis. GAFA
13 Israel Journal of Mathematics
12 Communications in Mathematical Physics
12 Annales de l’Institut Fourier
11 Journal of Mathematical Analysis and Applications
11 Inventiones Mathematicae
11 Calculus of Variations and Partial Differential Equations
10 Journal of Geometry and Physics
10 Bulletin of the American Mathematical Society. New Series
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Potential Analysis
8 Journal of Spectral Theory
7 Journal of Mathematical Physics
7 Linear Algebra and its Applications
6 Discrete Mathematics
6 Letters in Mathematical Physics
6 Manuscripta Mathematica
6 Discrete & Computational Geometry
6 Differential Geometry and its Applications
5 Discrete Applied Mathematics
5 Journal of Computational Physics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Journal für die Reine und Angewandte Mathematik
5 Random Structures & Algorithms
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 The Electronic Journal of Combinatorics
5 Geometry & Topology
4 Compositio Mathematica
4 Integral Equations and Operator Theory
4 Results in Mathematics
4 Tôhoku Mathematical Journal. Second Series
4 Graphs and Combinatorics
4 Probability Theory and Related Fields
4 Journal of Mathematical Sciences (New York)
4 Mathematical Physics, Analysis and Geometry
4 Annales Henri Poincaré
4 Algebraic & Geometric Topology
4 Journal of Topology and Analysis
3 Mathematics of Computation
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of the London Mathematical Society. Second Series
3 Monatshefte für Mathematik
3 Nagoya Mathematical Journal
3 Siberian Mathematical Journal
3 Journal of Theoretical Probability
3 Journal of Algebraic Combinatorics
3 Journal of High Energy Physics
3 Advances in Geometry
3 Foundations of Computational Mathematics
2 Computers & Mathematics with Applications
2 Nuclear Physics. B
2 Reports on Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Arkiv för Matematik
2 American Journal of Mathematics
2 The Annals of Probability
2 Archiv der Mathematik
2 Bulletin of the London Mathematical Society
2 Journal of Combinatorial Theory. Series B
2 Journal of Graph Theory
2 Journal of the Korean Mathematical Society
2 Kodai Mathematical Journal
2 Mathematische Nachrichten
2 Proceedings of the Japan Academy. Series A
2 Theoretical Computer Science
2 European Journal of Combinatorics
2 Ergodic Theory and Dynamical Systems
2 Combinatorica
2 Chinese Annals of Mathematics. Series B
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 \(K\)-Theory
2 Information and Computation
2 Journal of the American Mathematical Society
2 SIAM Journal on Discrete Mathematics
2 International Journal of Mathematics
2 The Annals of Applied Probability
2 L’Enseignement Mathématique. 2e Série
2 Chinese Science Bulletin
2 Indagationes Mathematicae. New Series
2 Combinatorics, Probability and Computing
2 Numerical Linear Algebra with Applications
2 NoDEA. Nonlinear Differential Equations and Applications
2 Journal of Difference Equations and Applications
2 Discrete and Continuous Dynamical Systems
2 The Journal of Fourier Analysis and Applications
2 Documenta Mathematica
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Revista Matemática Complutense
...and 127 more Serials
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Cited in 59 Fields

330 Global analysis, analysis on manifolds (58-XX)
195 Combinatorics (05-XX)
186 Differential geometry (53-XX)
166 Partial differential equations (35-XX)
83 Probability theory and stochastic processes (60-XX)
76 Operator theory (47-XX)
68 Manifolds and cell complexes (57-XX)
56 Quantum theory (81-XX)
44 Group theory and generalizations (20-XX)
41 Functional analysis (46-XX)
40 Topological groups, Lie groups (22-XX)
34 Numerical analysis (65-XX)
33 Potential theory (31-XX)
33 Difference and functional equations (39-XX)
26 Functions of a complex variable (30-XX)
26 Statistical mechanics, structure of matter (82-XX)
25 Several complex variables and analytic spaces (32-XX)
24 Number theory (11-XX)
24 Dynamical systems and ergodic theory (37-XX)
23 Algebraic topology (55-XX)
17 Abstract harmonic analysis (43-XX)
17 Convex and discrete geometry (52-XX)
15 Ordinary differential equations (34-XX)
14 Computer science (68-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
10 Algebraic geometry (14-XX)
10 Measure and integration (28-XX)
9 Associative rings and algebras (16-XX)
9 Geometry (51-XX)
8 Information and communication theory, circuits (94-XX)
7 Nonassociative rings and algebras (17-XX)
7 Real functions (26-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Fluid mechanics (76-XX)
7 Relativity and gravitational theory (83-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 \(K\)-theory (19-XX)
5 Mechanics of particles and systems (70-XX)
5 Optics, electromagnetic theory (78-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 General topology (54-XX)
4 Operations research, mathematical programming (90-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Mechanics of deformable solids (74-XX)
2 General and overarching topics; collections (00-XX)
2 General algebraic systems (08-XX)
2 Special functions (33-XX)
2 Integral equations (45-XX)
2 Statistics (62-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year