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Dodziuk, Jozef

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Author ID: dodziuk.jozef Recent zbMATH articles by "Dodziuk, Jozef"
Published as: Dodziuk, J.; Dodziuk, Josef; Dodziuk, Jozef; Dodziuk, Józef
Homepage: http://qcpages.qc.cuny.edu/~jdodziuk/dodziuk.html
External Links: MGP · Wikidata · ResearchGate
Documents Indexed: 49 Publications since 1969, including 2 Books

Publications by Year

Citations contained in zbMATH

38 Publications have been cited 763 times in 595 Documents Cited by Year
Difference equations, isoperimetric inequality and transience of certain random walks. Zbl 0512.39001
Dodziuk, Jozef
139
1984
Maximum principle for parabolic inequalities and the heat flow on open manifolds. Zbl 0526.58047
Dodziuk, Jozef
66
1983
De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings. Zbl 0348.58001
Dodziuk, Jozef
52
1977
Finite-difference approach to the Hodge theory of harmonic forms. Zbl 0324.58001
Dodziuk, Jozef
50
1976
Approximating \(L ^{2}\)-invariants and the Atiyah conjecture. Zbl 1036.58017
Dodziuk, Józef; Linnell, Peter; Mathai, Varghese; Schick, Thomas; Yates, Stuart
48
2003
\(L^2\) harmonic forms on rotationally symmetric Riemannian manifolds. Zbl 0423.58002
Dodziuk, Jozef
38
1979
Spectral and function theory for combinatorial Laplacians. Zbl 0669.58031
Dodziuk, Jozef; Karp, Leon
36
1988
Riemannian structures and triangulations of manifolds. Zbl 0435.58004
Dodziuk, J.; Patodi, V. K.
34
1976
Riemannian metrics with large \(\lambda_ 1\). Zbl 0820.58056
Colbois, B.; Dodziuk, J.
29
1994
Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians. Zbl 1207.81024
Dodziuk, Józef; Mathai, Varghese
28
2006
Combinatorial Laplacians and isoperimetric inequality. Zbl 0619.05005
Dodziuk, J.; Kendall, W. S.
28
1986
Elliptic operators on infinite graphs. Zbl 1127.58034
Dodziuk, Józef
26
2006
Eigenvalues of the Laplacian on forms. Zbl 0502.58038
Dodziuk, Jozef
26
1982
Approximating \(L^2\) invariants of amenable covering spaces: A combinatorial approach. Zbl 0936.57018
Dodziuk, Jozef; Mathai, Varghese
15
1998
Estimating small eigenvalues of Riemann surfaces. Zbl 0607.58044
Dodziuk, Jozef; Pignataro, Thea; Randol, Burton; Sullivan, Dennis
15
1987
Sobolev spaces of differential forms and de Rham-Hodge isomorphism. Zbl 0456.58001
Dodziuk, Jozef
14
1981
Vanishing theorems for square-integrable harmonic forms. Zbl 0479.53035
Dodziuk, Jozef
13
1981
Integral structures on H-type Lie algebras. Zbl 1035.17018
Crandall, Gordon; Dodziuk, Józef
12
2002
Lower bounds for \(\lambda _ 1\) on a finite-volume hyperbolic manifold. Zbl 0594.53036
Dodziuk, Jozef; Randol, Burton
12
1986
\(L^ 2-\)harmonic forms on complete manifolds. Zbl 0484.53033
Dodziuk, Jozef
10
1982
An \(L_2\)-isolation theorem for Yang-Mills fields over complete manifolds. Zbl 0518.53039
Dodziuk, J.; Min-Oo, Maung
9
1982
Stability of spectra of Hodge-de Rham Laplacian. Zbl 1004.58016
Baker, Garth A.; Dodziuk, Józef
7
1997
Eigenvalues of the Laplacian and the heat equation. Zbl 0477.35072
Dodziuk, Jozef
7
1981
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
Tubes and eigenvalues for negatively curved manifolds. Zbl 0766.58054
Buser, P.; Colbois, B.; Dodziuk, J.
5
1993
Riemann surfaces of large genus and large \(\lambda _ 1\). Zbl 0646.53040
Buser, Peter; Burger, Marc; Dodziuk, Jozef
5
1988
The surjectivity of the combinatorial Laplacian on infinite graphs. Zbl 1267.05182
Ceccherini-Silberstein, Tullio; Coornaert, Michel; Dodziuk, Józef
4
2012
The spectrum of degenerating hyperbolic 3-manifolds. Zbl 0826.53037
Chavel, I.; Dodziuk, J.
4
1994
Sewing Riemannian manifolds with positive scalar curvature. Zbl 1407.53038
Basilio, J.; Dodziuk, J.; Sormani, C.
3
2018
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
Vanishing theorems for square-integrable harmonic forms. Zbl 0495.58002
Dodziuk, Jozef
3
1981
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
Nonexistence of universal upper bounds for the first positive eigenvalue of the Laplace-Beltrami operator. Zbl 0810.58042
Dodziuk, Józef
2
1994
A lower bound for the first eigenvalue of a finite-volume negatively curved manifold. Zbl 0744.53021
Dodziuk, Josef
2
1987
Combinatorial and continuous Hodge theories. Zbl 0288.53053
Dodziuk, Jozef
2
1974
Laplacian on manifolds and analogous difference operator for graphs. Zbl 0602.39004
Dodziuk, Jozef
1
1986
Sewing Riemannian manifolds with positive scalar curvature. Zbl 1407.53038
Basilio, J.; Dodziuk, J.; Sormani, C.
3
2018
The surjectivity of the combinatorial Laplacian on infinite graphs. Zbl 1267.05182
Ceccherini-Silberstein, Tullio; Coornaert, Michel; Dodziuk, Józef
4
2012
Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians. Zbl 1207.81024
Dodziuk, Józef; Mathai, Varghese
28
2006
Elliptic operators on infinite graphs. Zbl 1127.58034
Dodziuk, Józef
26
2006
Approximating \(L ^{2}\)-invariants and the Atiyah conjecture. Zbl 1036.58017
Dodziuk, Józef; Linnell, Peter; Mathai, Varghese; Schick, Thomas; Yates, Stuart
48
2003
Integral structures on H-type Lie algebras. Zbl 1035.17018
Crandall, Gordon; Dodziuk, Józef
12
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
7
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.
29
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.
5
1993
Spectral and function theory for combinatorial Laplacians. Zbl 0669.58031
Dodziuk, Jozef; Karp, Leon
36
1988
Riemann surfaces of large genus and large \(\lambda _ 1\). Zbl 0646.53040
Buser, Peter; Burger, Marc; Dodziuk, Jozef
5
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
2
1987
Combinatorial Laplacians and isoperimetric inequality. Zbl 0619.05005
Dodziuk, J.; Kendall, W. S.
28
1986
Lower bounds for \(\lambda _ 1\) on a finite-volume hyperbolic manifold. Zbl 0594.53036
Dodziuk, Jozef; Randol, Burton
12
1986
Laplacian on manifolds and analogous difference operator for graphs. Zbl 0602.39004
Dodziuk, Jozef
1
1986
Difference equations, isoperimetric inequality and transience of certain random walks. Zbl 0512.39001
Dodziuk, Jozef
139
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
66
1983
Eigenvalues of the Laplacian on forms. Zbl 0502.58038
Dodziuk, Jozef
26
1982
\(L^ 2-\)harmonic forms on complete manifolds. Zbl 0484.53033
Dodziuk, Jozef
10
1982
An \(L_2\)-isolation theorem for Yang-Mills fields over complete manifolds. Zbl 0518.53039
Dodziuk, J.; Min-Oo, Maung
9
1982
Sobolev spaces of differential forms and de Rham-Hodge isomorphism. Zbl 0456.58001
Dodziuk, Jozef
14
1981
Vanishing theorems for square-integrable harmonic forms. Zbl 0479.53035
Dodziuk, Jozef
13
1981
Eigenvalues of the Laplacian and the heat equation. Zbl 0477.35072
Dodziuk, Jozef
7
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
38
1979
De Rham-Hodge theory for \(L^2\)-cohomology of infinite coverings. Zbl 0348.58001
Dodziuk, Jozef
52
1977
Finite-difference approach to the Hodge theory of harmonic forms. Zbl 0324.58001
Dodziuk, Jozef
50
1976
Riemannian structures and triangulations of manifolds. Zbl 0435.58004
Dodziuk, J.; Patodi, V. K.
34
1976
Combinatorial and continuous Hodge theories. Zbl 0288.53053
Dodziuk, Jozef
2
1974
all top 5

Cited by 677 Authors

21 Keller, Matthias
12 Colbois, Bruno
11 Lenz, Daniel H.
10 Hua, Bobo
9 Veselić, Ivan
8 El Soufi, Ahmad
8 Peyerimhoff, Norbert
8 Schick, Thomas
7 Dodziuk, Jozef
7 Furutani, Kenro
7 Grigor’yan, Alexander Asaturovich
7 Jorgenson, Jay Alan
7 Mathai, Varghese
7 Woess, Wolfgang
7 Wojciechowski, Radosław Krzysztof
6 Donnelly, Harold
6 Friedl, Stefan
6 Liu, Shiping
5 Albeverio, Sergio A.
5 Anné, Colette
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 Schwarzenberger, Fabian
4 Charalambous, Nelia
4 Daletskii, Alexei
4 Huang, Xueping
4 Jammes, Pierre
4 Li, Xiang-Dong
4 Linnell, Peter Arnold
4 Lu, Zhiqin
4 Masamune, Jun
4 Milatovic, Ognjen
4 Münch, Florentin
4 Pogorzelski, Felix
4 Saloff-Coste, Laurent
4 Sauer, Roman
4 Shirai, Tomoyuki
4 Shubin, Mikhail Aleksandrovich
4 Soardi, Paolo Maurizio
4 Torki-Hamza, Nabila
3 Bauer, Frank
3 Bérard, Pierre H.
3 Bonnefont, Michel
3 Burger, Marc
3 Carmona, Ángeles
3 Chavel, Isaac
3 Colin de Verdière, Yves
3 Coulhon, Thierry
3 Duval, Art M.
3 Ellis, David Christopher
3 Encinas, Andrés M.
3 Filmus, Yuval
3 Friedgut, Ehud
3 Friedman, Joel
3 Fujiwara, Koji
3 Girouard, Alexandre
3 Guido, Daniele
3 Hamenstädt, Ursula
3 Huang, Teng
3 Isola, Tommaso
3 Isozaki, Hiroshi
3 Kaimanovich, Vadim A.
3 Klivans, Caroline J.
3 Kuz’minov, Vladimir I.
3 Martin, Jeremy L.
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 Rosenthal, Ron
3 Setti, Alberto G.
3 Shvedov, Igor A.
3 Stepanov, Sergeĭ Evgen’evich
3 Thom, Andreas Berthold
3 Truc, Françoise
3 Vertman, Boris
3 Wilson, Scott O.
3 Wolpert, Scott A.
3 Yates, Stuart G.
3 Zhou, Zhenrong
2 Alon, Noga M.
2 Angel, Omer
2 Angoshtari, Arzhang
2 Arnold, Douglas Norman
2 Bauer, Wolfram
...and 577 more Authors
all top 5

Cited in 184 Serials

35 Journal of Functional Analysis
27 Transactions of the American Mathematical Society
24 Proceedings of the American Mathematical Society
21 Duke Mathematical Journal
20 Mathematische Zeitschrift
14 Advances in Mathematics
14 Mathematische Annalen
14 Annals of Global Analysis and Geometry
13 Geometriae Dedicata
12 Annales de l’Institut Fourier
12 Geometric and Functional Analysis. GAFA
11 Communications in Mathematical Physics
10 Inventiones Mathematicae
10 The Journal of Geometric Analysis
10 Bulletin of the American Mathematical Society. New Series
8 Israel Journal of Mathematics
8 Journal of Mathematical Analysis and Applications
8 Calculus of Variations and Partial Differential Equations
7 Journal of Geometry and Physics
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Potential Analysis
6 Manuscripta Mathematica
6 Discrete & Computational Geometry
5 Discrete Applied Mathematics
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 Differential Geometry and its Applications
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Linear Algebra and its Applications
5 Journal of Spectral Theory
4 Letters in Mathematical Physics
4 Results in Mathematics
4 Tohoku Mathematical Journal. Second Series
4 Probability Theory and Related Fields
4 Random Structures & Algorithms
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Mathematical Physics, Analysis and Geometry
4 Geometry & Topology
4 Annales Henri Poincaré
4 Algebraic & Geometric Topology
3 Mathematics of Computation
3 Compositio Mathematica
3 Integral Equations and Operator Theory
3 Monatshefte für Mathematik
3 Siberian Mathematical Journal
3 Graphs and Combinatorics
3 Journal of Theoretical Probability
3 Journal of Mathematical Sciences (New York)
3 Journal of High Energy Physics
3 Advances in Geometry
3 Foundations of Computational Mathematics
3 Journal of Topology and Analysis
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 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 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 Indagationes Mathematicae. New Series
2 Journal of Algebraic Combinatorics
2 Combinatorics, Probability and Computing
2 Numerical Linear Algebra with Applications
2 The Electronic Journal of Combinatorics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Journal of the European Mathematical Society (JEMS)
2 Complex Analysis and Operator Theory
2 Japanese Journal of Mathematics. 3rd Series
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Applicable Analysis
1 Computer Methods in Applied Mechanics and Engineering
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 Nuclear Physics. B
1 Theoretical and Mathematical Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Computation
1 Archivum Mathematicum
1 BIT
...and 84 more Serials
all top 5

Cited in 51 Fields

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

Citations by Year

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