Zobrazeno 1 - 10
of 1 599
pro vyhledávání: '"A Cekiç"'
Autor:
Cekić, Mihajlo, Siffert, Anna
The magnetic Dirichlet-to-Neumann map encodes the voltage-to-current measurements under the influence of a magnetic field. In the case of surfaces, we provide precise spectral asymptotics expansion (up to arbitrary polynomial power) for the eigenvalu
Externí odkaz:
http://arxiv.org/abs/2410.08591
Autor:
Cekić, Mihajlo, Lefeuvre, Thibault
Let $G$ be a compact Lie group. We introduce a semiclassical framework, called Borel-Weil calculus, to investigate $G$-equivariant (pseudo)differential operators acting on $G$-principal bundles over closed manifolds. In this calculus, the semiclassic
Externí odkaz:
http://arxiv.org/abs/2405.14846
Autor:
Goncalves, Lucas, Mathur, Prashant, Lavania, Chandrashekhar, Cekic, Metehan, Federico, Marcello, Han, Kyu J.
Recent advancements in audio-visual generative modeling have been propelled by progress in deep learning and the availability of data-rich benchmarks. However, the growth is not attributed solely to models and benchmarks. Universally accepted evaluat
Externí odkaz:
http://arxiv.org/abs/2404.07336
Autor:
Cekić, Mihajlo
We consider the Calder\'on problem for systems with unknown zeroth and first order terms, and improve on previously known results. More precisely, let $(M, g)$ be a compact Riemannian manifold with boundary, let $A$ be a connection matrix on $E = M \
Externí odkaz:
http://arxiv.org/abs/2309.09348
The aim of this note is to establish the correspondence between the twisted localized Pestov identity on the unit tangent bundle of a Riemannian manifold and the Weitzenb\"ock identity for twisted symmetric tensors on the manifold.
Comment: 22 p
Comment: 22 p
Externí odkaz:
http://arxiv.org/abs/2305.01092
Autor:
Cekić, Mihajlo, Lefeuvre, Thibault
On a Riemannian manifold $(M, g)$ with Anosov geodesic flow, the problem of recovering a connection from the knowledge of traces of its holonomies along primitive closed geodesics is known as the holonomy inverse problem. In this paper, we prove H\"o
Externí odkaz:
http://arxiv.org/abs/2303.11998
Let $(M,g,J)$ be a closed K\"ahler manifold with negative sectional curvature and complex dimension $m := \dim_{\mathbb{C}} M \geq 2$. In this article, we study the unitary frame flow, that is, the restriction of the frame flow to the principal $\mat
Externí odkaz:
http://arxiv.org/abs/2301.05933
Autor:
Cekić, Mihajlo, Paternain, Gabriel P.
We study resonant differential forms at zero for transitive Anosov flows on $3$-manifolds. We pay particular attention to the dissipative case, that is, Anosov flows that do not preserve an absolutely continuous measure. Such flows have two distingui
Externí odkaz:
http://arxiv.org/abs/2211.06255
Autor:
Cekić, Mihajlo, Lefeuvre, Thibault
We show that on closed negatively curved Riemannian manifolds with simple length spectrum, the spectrum of the Bochner Laplacian determines both the isomorphism class of the vector bundle and the connection up to gauge under a low-rank assumption. We
Externí odkaz:
http://arxiv.org/abs/2209.11109
We report on some recent progress achieved in [arXiv:2111.14811] on the ergodicity of the frame flow of negatively-curved Riemannian manifolds. We explain the new ideas leading to ergodicity for nearly $0.25$-pinched manifolds and give perspectives f
Externí odkaz:
http://arxiv.org/abs/2204.08728