Difference equations, isoperimetric inequality and transience of certain random walks J Dodziuk Transactions of the American Mathematical Society 284 (2), 787-794, 1984 | 592 | 1984 |

Maximum principle for parabolic inequalities and the heat flow on open manifolds J Dodziuk Indiana University Mathematics Journal 32 (5), 703-716, 1983 | 242 | 1983 |

Finite-difference approach to the Hodge theory of harmonic forms J Dodziuk American Journal of Mathematics 98 (1), 79-104, 1976 | 238 | 1976 |

De Rham-Hodge theory for L 2-cohomology of infinite coverings J Dodziuk Topology 16 (2), 157-165, 1977 | 205 | 1977 |

L2 harmonic forms on rotationally symmetric Riemannian manifolds J Dodziuk Proceedings of the American Mathematical Society 77 (3), 395-400, 1979 | 162 | 1979 |

Combinatorial Laplacians and isoperimetgric inequality J Dodziuk From Local Times to Global Geomery, Control and Physics, 68-74, 1986 | 156 | 1986 |

Riemannian structures and triangulations of manifolds J Dodziuk, VK Patodi Collected Papers of VK Patodi 40, 232-283, 1996 | 135 | 1996 |

Spectral and function theory for combinatorial Laplacian J Dodziuk Contemp. Math. 73, 25-40, 1988 | 124 | 1988 |

Approximating *L*^{2}‐invariants and the Atiyah conjectureJ Dodziuk, P Linnell, V Mathai, T Schick, S Yates Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2003 | 122 | 2003 |

Riemannian metrics with large 𝜆₁ B Colbois, J Dodziuk Proceedings of the American Mathematical Society 122 (3), 905-906, 1994 | 119 | 1994 |

Eigenvalues of the Laplacian on forms J Dodziuk Proceedings of the American Mathematical Society 85 (3), 437-443, 1982 | 92 | 1982 |

Sobolev spaces of differential forms and de Rham-Hodge isomorphism J Dodziuk Journal of Differential Geometry 16 (1), 63-73, 1981 | 91 | 1981 |

Elliptic operators on infinite graphs J Dodziuk Analysis, Geometry And Topology Of Elliptic Operators: Papers in Honor of …, 2006 | 69 | 2006 |

Kato’s inequality and asymptotic spectral properties for discrete magnetic Laplacians J Dodziuk, V Mathai Contemp. Math 398, 69-81, 2006 | 68 | 2006 |

Estimating small eigenvalues of Riemann surfaces J Dodziuk, T Pignataro, B Randol, D Sullivan The legacy of Sonya Kovalevskaya (Cambridge, Mass., and Amherst, Mass., 1985 …, 1987 | 66 | 1987 |

L2 harmonic forms on complete manifolds J Dodziuk Seminar on Differential Geometry 102, 291-302, 1982 | 66 | 1982 |

Eigenvalues of the Laplacian and the heat equation J Dodziuk The American Mathematical Monthly 88 (9), 686-695, 1981 | 54 | 1981 |

Vanishing theorems for square-integrable harmonic forms J Dodziuk Proceedings Mathematical Sciences 90 (1), 21-27, 1981 | 53 | 1981 |

ApproximatingL2Invariants of Amenable Covering Spaces: A Combinatorial Approach J Dodziuk, V Mathai journal of functional analysis 154 (2), 359-378, 1998 | 49 | 1998 |

Lower bounds for on a finite-volume hyperbolic manifold J Dodziuk, B Randol Journal of differential geometry 24 (1), 133-139, 1986 | 45 | 1986 |