Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Dodziuk, Józef"'
Autor:
Dodziuk, Józef
We give a characterization of Whitney forms on an $n$-simplex $\sigma$ and prove that for every real valued simplicial $k$-cochain $c$ on $\sigma$, the form $Wc$ is the unique differential $k$-form $\varphi$ on $\sigma$ with affine coefficients that
Externí odkaz:
http://arxiv.org/abs/2207.10037
Autor:
Dodziuk, Józef
In an appendix to an earlier paper (cf. arXiv:1703.00984) we showed we showed how to construct tunnels of positive scalar curvature and of arbitrarily small length and volume connecting points in a \emph{three dimensional} manifold of \emph{constant
Externí odkaz:
http://arxiv.org/abs/1802.07472
Autor:
Dodziuk, Józef1 (AUTHOR)
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 12/27/2023, Vol. 10, p455-460. 6p.
Autor:
Dodziuk, Jozef
This note gives a correction to the proof of the main result of "Harmonic representatives for cuspidal cohomology classes" by J. Dodziuk, J. McGowan and Peter Perry, an article that appeared in Serge Lang memorial volume.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/1211.3490
Publikováno v:
Enseign. Math. (2) 58 (2012), 125-130
Given a connected locally finite simplicial graph $ G$ with vertex set $V$, the combinatorial Laplacian $\Delta_G \colon \R^V \to \R^V$ is defined on the space of all real-valued functions on $V$. We prove that $\Delta_G$ is surjective if $G$ is infi
Externí odkaz:
http://arxiv.org/abs/1103.4901
Autor:
Dodziuk, Jozef, Mathai, Varghese
Publikováno v:
Contemporary Mathematics, vol. 398 (2006) 69-81.
In this paper, a discrete form of the Kato inequality for discrete magnetic Laplacians on graphs is used to study asymptotic properties of the spectrum of discrete magnetic Schrodinger operators. We use the existence of a ground state with suitable p
Externí odkaz:
http://arxiv.org/abs/math/0312450
Publikováno v:
Communications on Pure and Applied Mathematics, vol. 56, no. 7, (2003), 839-873
Let G be a torsion free discrete group and let \bar{Q} denote the field of algebraic numbers in C. We prove that \bar{Q}[G] fulfills the Atiyah conjecture if G lies in a certain class of groups D, which contains in particular all groups which are res
Externí odkaz:
http://arxiv.org/abs/math/0107049
It was pointed out to us that the proof of a crucial lemma (Lemma 5.3) in the paper is incorrect. Thus the approximation theorem (Theorem 0.1) for L^2 torsion of an amenable covering of a finite simplicial complex remains unproved. However, results a
Externí odkaz:
http://arxiv.org/abs/math/0008211
Autor:
Dodziuk, Jozef, Mathai, Varghese
In this paper, we prove that the $L^2$ Betti numbers of an amenable covering space can be approximated by the average Betti numbers of a regular exhaustion, proving a conjecture that we made in an earlier paper. We also prove that an arbitrary amenab
Externí odkaz:
http://arxiv.org/abs/dg-ga/9609003