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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

39 Publications have been cited 838 times in 663 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
474
1984
Difference equations, isoperimetric inequality and transience of certain random walks. Zbl 0512.39001
Dodziuk, Jozef
153
1984
Maximum principle for parabolic inequalities and the heat flow on open manifolds. Zbl 0526.58047
Dodziuk, Jozef
72
1983
Finite-difference approach to the Hodge theory of harmonic forms. Zbl 0324.58001
Dodziuk, Jozef
60
1976
De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings. Zbl 0348.58001
Dodziuk, Jozef
55
1977
Approximating \(L ^{2}\)-invariants and the Atiyah conjecture. Zbl 1036.58017
Dodziuk, Józef; Linnell, Peter; Mathai, Varghese; Schick, Thomas; Yates, Stuart
52
2003
\(L^2\) harmonic forms on rotationally symmetric Riemannian manifolds. Zbl 0423.58002
Dodziuk, Jozef
45
1979
Riemannian structures and triangulations of manifolds. Zbl 0435.58004
Dodziuk, J.; Patodi, V. K.
37
1976
Riemannian metrics with large \(\lambda_ 1\). Zbl 0820.58056
Colbois, B.; Dodziuk, J.
32
1994
Eigenvalues of the Laplacian on forms. Zbl 0502.58038
Dodziuk, Jozef
31
1982
Spectral and function theory for combinatorial Laplacians. Zbl 0669.58031
Dodziuk, Jozef; Karp, Leon
29
1988
Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians. Zbl 1207.81024
Dodziuk, Józef; Mathai, Varghese
29
2006
Elliptic operators on infinite graphs. Zbl 1127.58034
Dodziuk, Józef
29
2006
Combinatorial Laplacians and isoperimetric inequality. Zbl 0619.05005
Dodziuk, J.; Kendall, W. S.
27
1986
Sobolev spaces of differential forms and de Rham-Hodge isomorphism. Zbl 0456.58001
Dodziuk, Jozef
20
1981
Vanishing theorems for square-integrable harmonic forms. Zbl 0479.53035
Dodziuk, Jozef
15
1981
Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044
Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis
15
1987
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
\(L^ 2-\)harmonic forms on complete manifolds. Zbl 0484.53033
Dodziuk, Jozef
12
1982
Eigenvalues of the Laplacian and the heat equation. Zbl 0477.35072
Dodziuk, Jozef
10
1981
An \(L_2\)-isolation theorem for Yang-Mills fields over complete manifolds. Zbl 0518.53039
Dodziuk, J.; Min-Oo, Maung
10
1982
Stability of spectra of Hodge-de Rham Laplacian. Zbl 1004.58016
Baker, Garth A.; Dodziuk, Józef
8
1997
Riemann surfaces of large genus and large \(\lambda _ 1\). Zbl 0646.53040
Buser, Peter; Burger, Marc; Dodziuk, Jozef
7
1988
Tubes and eigenvalues for negatively curved manifolds. Zbl 0766.58054
Buser, P.; Colbois, B.; Dodziuk, J.
7
1993
Approximating \(L^2\) invariants of amenable covering spaces: a heat kernel approach. Zbl 0910.58037
Dodziuk, Józef; Mathai, Varghese
6
1997
Spectral asymptotics on degenerating hyperbolic 3-manifolds. Zbl 0914.58036
Dodziuk, Józef; Jorgenson, Jay
5
1998
The surjectivity of the combinatorial Laplacian on infinite graphs. Zbl 1267.05182
Ceccherini-Silberstein, Tullio; Coornaert, Michel; Dodziuk, Józef
5
2012
Sewing Riemannian manifolds with positive scalar curvature. Zbl 1407.53038
Basilio, J.; Dodziuk, J.; Sormani, C.
4
2018
The spectrum of degenerating hyperbolic 3-manifolds. Zbl 0826.53037
Chavel, I.; Dodziuk, J.
4
1994
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
A lower bound for the first eigenvalue of a finite-volume negatively curved manifold. Zbl 0744.53021
Dodziuk, Josef
3
1987
The spectrum of the Hodge Laplacian for a degenerating family of hyperbolic three manifolds. Zbl 0849.58069
Dodziuk, Józef; McGowan, Jeffrey
2
1995
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
Nonexistence of universal upper bounds for the first positive eigenvalue of the Laplace-Beltrami operator. Zbl 0810.58042
Dodziuk, Józef
2
1994
Harmonic representatives for cuspidal cohomology classes. Zbl 1250.30037
Dodziuk, Józef; McGowan, Jeffrey; Perry, Peter
1
2012
Sewing Riemannian manifolds with positive scalar curvature. Zbl 1407.53038
Basilio, J.; Dodziuk, J.; Sormani, C.
4
2018
The surjectivity of the combinatorial Laplacian on infinite graphs. Zbl 1267.05182
Ceccherini-Silberstein, Tullio; Coornaert, Michel; Dodziuk, Józef
5
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
29
2006
Elliptic operators on infinite graphs. Zbl 1127.58034
Dodziuk, Józef
29
2006
Approximating \(L ^{2}\)-invariants and the Atiyah conjecture. Zbl 1036.58017
Dodziuk, Józef; Linnell, Peter; Mathai, Varghese; Schick, Thomas; Yates, Stuart
52
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
5
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
2
1995
Riemannian metrics with large \(\lambda_ 1\). Zbl 0820.58056
Colbois, B.; Dodziuk, J.
32
1994
The spectrum of degenerating hyperbolic 3-manifolds. Zbl 0826.53037
Chavel, I.; Dodziuk, J.
4
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.
7
1993
Spectral and function theory for combinatorial Laplacians. Zbl 0669.58031
Dodziuk, Jozef; Karp, Leon
29
1988
Riemann surfaces of large genus and large \(\lambda _ 1\). Zbl 0646.53040
Buser, Peter; Burger, Marc; Dodziuk, Jozef
7
1988
Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044
Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis
15
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.
27
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
474
1984
Difference equations, isoperimetric inequality and transience of certain random walks. Zbl 0512.39001
Dodziuk, Jozef
153
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
72
1983
Eigenvalues of the Laplacian on forms. Zbl 0502.58038
Dodziuk, Jozef
31
1982
\(L^ 2-\)harmonic forms on complete manifolds. Zbl 0484.53033
Dodziuk, Jozef
12
1982
An \(L_2\)-isolation theorem for Yang-Mills fields over complete manifolds. Zbl 0518.53039
Dodziuk, J.; Min-Oo, Maung
10
1982
Sobolev spaces of differential forms and de Rham-Hodge isomorphism. Zbl 0456.58001
Dodziuk, Jozef
20
1981
Vanishing theorems for square-integrable harmonic forms. Zbl 0479.53035
Dodziuk, Jozef
15
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
45
1979
De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings. Zbl 0348.58001
Dodziuk, Jozef
55
1977
Finite-difference approach to the Hodge theory of harmonic forms. Zbl 0324.58001
Dodziuk, Jozef
60
1976
Riemannian structures and triangulations of manifolds. Zbl 0435.58004
Dodziuk, J.; Patodi, V. K.
37
1976
Combinatorial and continuous Hodge theories. Zbl 0288.53053
Dodziuk, Jozef
2
1974
all top 5

Cited by 754 Authors

22 Keller, Matthias
12 Colbois, Bruno
11 Hua, Bobo
11 Lenz, Daniel H.
9 Veselić, Ivan
9 Wojciechowski, Radosław Krzysztof
8 El Soufi, Ahmad
8 Furutani, Kenro
8 Peyerimhoff, Norbert
8 Schick, Thomas
7 Dodziuk, Jozef
7 Grigor’yan, Alexander Asaturovich
7 Jorgenson, Jay Alan
7 Lu, Zhiqin
7 Mathai, Varghese
7 Woess, Wolfgang
6 Donnelly, Harold
6 Friedl, Stefan
6 Huang, Teng
6 Liu, Shiping
5 Albeverio, Sergio A.
5 Anné, Colette
5 Charalambous, Nelia
5 Christiansen, Snorre Harald
5 Elek, Gábor
5 Golénia, Sylvain
5 Güneysu, Batu
5 Jost, Jürgen
5 Lott, John
5 Lück, Wolfgang
5 Lundelius, Rolf E.
5 Markina, Irina
5 Mohar, Bojan
5 Post, Olaf
5 Sauer, Roman
5 Schwarzenberger, Fabian
4 Daletskii, Alexei
4 Girouard, Alexandre
4 Huang, Xueping
4 Jammes, Pierre
4 Linnell, Peter Arnold
4 Masamune, Jun
4 Milatovic, Ognjen
4 Münch, Florentin
4 Pogorzelski, Felix
4 Rosenthal, Ron
4 Saloff-Coste, Laurent
4 Setti, Alberto G.
4 Shubin, Mikhail Aleksandrovich
4 Soardi, Paolo Maurizio
4 Stepanov, Sergeĭ Evgen’evich
4 Torki-Hamza, Nabila
4 Vertman, Boris
4 Yu, Chengjie
3 Bauer, Frank
3 Bauer, Wolfram
3 Bérard, Pierre H.
3 Bonnefont, Michel
3 Burger, Marc
3 Chan, Chi Hin
3 Chavel, Isaac
3 Colin de Verdière, Yves
3 Coulhon, Thierry
3 Czubak, Magdalena
3 Duval, Art M.
3 Ellis, David Christopher
3 Filmus, Yuval
3 Friedgut, Ehud
3 Friedman, Joel
3 Fujiwara, Koji
3 Ge, Huabin
3 Guido, Daniele
3 Hamenstädt, Ursula
3 Hebey, Emmanuel
3 Isola, Tommaso
3 Isozaki, Hiroshi
3 Iwasaki, Chisato
3 Kaimanovich, Vadim A.
3 Klivans, Caroline J.
3 Kuz’minov, Vladimir I.
3 Lubotzky, Alexander
3 Makover, Eran
3 Martin, Jeremy L.
3 Mazón Ruiz, José M.
3 Mondal, Sugata
3 Morioka, Hisashi
3 Murata, Minoru
3 Nachmias, Asaf
3 Northshield, Sam
3 Okun, Boris L.
3 Parzanchevski, Ori
3 Petrides, Romain
3 Pittet, Christophe
3 Rigoli, Marco
3 Shirai, Tomoyuki
3 Shvedov, Igor A.
3 Thom, Andreas Berthold
3 Truc, Françoise
3 Wilson, Scott O.
3 Wolpert, Scott A.
...and 654 more Authors
all top 5

Cited in 203 Serials

34 Journal of Functional Analysis
28 Transactions of the American Mathematical Society
25 Proceedings of the American Mathematical Society
24 Mathematische Zeitschrift
21 Duke Mathematical Journal
18 The Journal of Geometric Analysis
17 Mathematische Annalen
16 Annals of Global Analysis and Geometry
14 Advances in Mathematics
14 Geometric and Functional Analysis. GAFA
13 Geometriae Dedicata
12 Communications in Mathematical Physics
12 Annales de l’Institut Fourier
11 Journal of Mathematical Analysis and Applications
11 Inventiones Mathematicae
10 Israel Journal of Mathematics
10 Bulletin of the American Mathematical Society. New Series
9 Calculus of Variations and Partial Differential Equations
8 Potential Analysis
7 Journal of Geometry and Physics
6 Manuscripta Mathematica
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Discrete & Computational Geometry
6 Differential Geometry and its Applications
5 Discrete Mathematics
5 Journal of Computational Physics
5 Journal of Mathematical Physics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Journal für die Reine und Angewandte Mathematik
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Linear Algebra and its Applications
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Journal of Spectral Theory
4 Discrete Applied Mathematics
4 Letters in Mathematical Physics
4 Results in Mathematics
4 Tôhoku Mathematical Journal. Second Series
4 Graphs and Combinatorics
4 Probability Theory and Related Fields
4 Random Structures & Algorithms
4 Journal of Mathematical Sciences (New York)
4 The Electronic Journal of Combinatorics
4 Mathematical Physics, Analysis and Geometry
4 Geometry & Topology
4 Annales Henri Poincaré
4 Algebraic & Geometric Topology
4 Journal of Topology and Analysis
3 Mathematics of Computation
3 Compositio Mathematica
3 Integral Equations and Operator Theory
3 Monatshefte für Mathematik
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 Journal d’Analyse Mathématique
2 Reports on Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Arkiv för Matematik
2 American Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 The Annals of Probability
2 Archiv der Mathematik
2 Journal of Combinatorial Theory. Series B
2 Kodai Mathematical Journal
2 Nagoya Mathematical Journal
2 Proceedings of the Japan Academy. Series A
2 Theoretical Computer Science
2 Ergodic Theory and Dynamical Systems
2 Combinatorica
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 Indagationes Mathematicae. New Series
2 Combinatorics, Probability and Computing
2 Numerical Linear Algebra with Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Advanced Nonlinear Studies
2 Complex Analysis and Operator Theory
2 Groups, Geometry, and Dynamics
2 Japanese Journal of Mathematics. 3rd Series
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Analysis and Mathematical Physics
1 Applicable Analysis
1 Communications on Pure and Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Statistical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Theoretical and Mathematical Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
...and 103 more Serials
all top 5

Cited in 54 Fields

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

Citations by Year