5.4k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- National Radio Astronomy ObservatoryUS188 papers
- European Southern ObservatoryCL85 papers
- Max Planck Institute for AstronomyDE82 papers
- California Institute of TechnologyUS77 papers
- Centre National de la Recherche ScientifiqueFR71 papers
- University of California, BerkeleyUS70 papers
- Leiden UniversityNL68 papers
- University of OxfordGB59 papers
- Max Planck Institute for Extraterrestrial PhysicsDE55 papers
- University of HertfordshireGB54 papers
- Astrophysique, Instrumentation et ModélisationFR53 papers
- University of TorontoCA52 papers
14 papers · 1 filter
Heat Kernel on Warped Products
Ivan G. Avramidi
We study the spectral properties of the scalar Laplacian on a -dimen\-sional warped product manifold with a -dimensional compact manifold without boun…
Spectral Asymptotics of Elliptic Operators on Manifolds
Ivan G. Avramidi
The study of spectral properties of natural geometric elliptic partial differential operators acting on smooth sections of vector bundles over Riemannian manifolds is a central the…
Heat Semigroups on Weyl Algebra
Ivan G. Avramidi
We study the algebra of semigroups of Laplacians on the Weyl algebra. We consider first-order partial differential operators forming the Lie algebra $[\nabla^\pm_j,\…
Bogolyubov invariant via relative spectral invariants on manifolds
Ivan G. Avramidi
We introduce and study new spectral invariant of two elliptic partial differential operators of Laplace and Dirac type on compact smooth manifolds without boundary that depends on…
Relative Spectral Invariants of Elliptic Operators on Manifolds
Ivan G. Avramidi
We introduce and study {\it new} relative spectral invariants of {\it two} elliptic partial differential operators of Laplace and Dirac type on compact smooth manifolds without bou…
Heat Determinant on Manifolds
Ivan G. Avramidi, Benjamin J. Buckman
We introduce and study new invariants associated with Laplace type elliptic partial differential operators on manifolds. These invariants are constructed by using the off-diagonal…
Heat Trace and Functional Determinant in One Dimension
Ivan G Avramidi
We study the spectral properties of the Laplace type operator on the circle. We discuss various approximations for the heat trace, the zeta function and the zeta-regularized determ…
Non-perturbative Heat Kernel Asymptotics on Homogeneous Abelian Bundles
Ivan G. Avramidi, Guglielmo Fucci
We study the heat kernel for a Laplace type partial differential operator acting on smooth sections of a complex vector bundle with the structure group over a Rieman…
Asymptotic Behavior of the Newton-Boussinesq Equation in a Two-Dimensional Channel
Guglielmo Fucci, Bixiang Wang, Preeti Singh
We prove the existence of a global attractor for the Newton-Boussinesq equation defined in a two-dimensional channel. The asymptotic compactness of the equation is derived by the u…
Non-Laplace type Operators on Manifolds with Boundary
Ivan G. Avramidi
We study second-order elliptic partial differential operators acting on sections of vector bundles over a compact manifold with boundary with a non-scalar positive definite leading…
Dirac Operator in Matrix Geometry
Ivan G. Avramidi
We review the construction of the Dirac operator and its properties in Riemannian geometry and show how the asymptotic expansion of the trace of the heat kernel determines the spec…
Heat Kernel Asymptotics of Zaremba Boundary Value Problem
Ivan Avramidi
The Zaremba boundary-value problem is a boundary value problem for Laplace-type second-order partial differential operators acting on smooth sections of a vector bundle over a smoo…
Heat Kernel Approach in Quantum Field Theory
Ivan Avramidi
We give a short overview of the effective action approach in quantum field theory and quantum gravity and describe various methods for calculation of the asymptotic expansion of th…
Heat Kernel Asymptotics of Operators with Non-Laplace Principal Part
Ivan G. Avramidi, Thomas Branson
We consider second-order elliptic partial differential operators acting on sections of vector bundles over a compact Riemannian manifold without boundary, working without the assum…