Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Mesland, Bram"'
Autor:
Mesland, Bram, Rennie, Adam
We prove that there is a unique Levi-Civita connection on the one-forms of the Dabrowski-Sitarz spectral triple for the Podle\'{s} sphere $S^{2}_{q}$. We compute the full curvature tensor, as well as the Ricci and scalar curvature of the Podle\'{s} s
Externí odkaz:
http://arxiv.org/abs/2406.18483
This paper introduces heat semigroups of topological Markov chains and Cuntz-Krieger algebras by means of spectral noncommutative geometry. Using recent advances on the logarithmic Dirichlet Laplacian on Ahlfors regular metric-measure spaces, we cons
Externí odkaz:
http://arxiv.org/abs/2406.07416
Autor:
Mesland, Bram, Rennie, Adam
Using the Levi-Civita connection on the noncommutative differential one-forms of a spectral triple $(\B,\H,\D)$, we define the full Riemann curvature tensor, the Ricci curvature tensor and scalar curvature. We give a definition of Dirac spectral trip
Externí odkaz:
http://arxiv.org/abs/2404.07957
Autor:
Mesland, Bram, Rennie, Adam
We combine Hilbert module and algebraic techniques to give necessary and sufficient conditions for the existence of an Hermitian torsion-free connection on the bimodule of differential one-forms of a first order differential calculus. In the presence
Externí odkaz:
http://arxiv.org/abs/2403.13735
We introduce the logarithmic analogue of the Laplace-Beltrami operator on Ahlfors regular metric-measure spaces. This operator is intrinsically defined with spectral properties analogous to those of elliptic pseudo-differential operators on Riemannia
Externí odkaz:
http://arxiv.org/abs/2309.16636
Autor:
Mesland, Bram, Prodan, Emil
Publikováno v:
Journal of Geometry and Physics 196, 105059 (2024)
We consider synthetic materials consisting of self-coupled identical resonators carrying classical internal degrees of freedom. The architecture of such material is specified by the positions and orientations of the resonators. Our goal is to calcula
Externí odkaz:
http://arxiv.org/abs/2308.07866
Publikováno v:
J. Math. Anal. Appl. 522 (1) (2023) 127002
We show by (counter)example that the intersection of complemented submodules in a Hilbert $C^*$-module is not necessarily complemented, answering an open question from [MR].
Comment: Addendum to : The Friedrichs angle and alternating projections
Comment: Addendum to : The Friedrichs angle and alternating projections
Externí odkaz:
http://arxiv.org/abs/2302.04631
Autor:
Mesland, Bram, Sengun, Mehmet Haluk
Let (G,H) be one of the equal rank reductive dual pairs (Mp_{2n},O_{2n+1}) or (U_n,U_n) over a non-archimedean local field of characteristic zero. It is well-known that the theta correspondence establishes a bijection between certain subsets, say R(G
Externí odkaz:
http://arxiv.org/abs/2207.13484
Autor:
Mesland, Bram, Rennie, Adam
Publikováno v:
J. Math. Anal. Appl. 516 (1) 1 (2022) 126474
Let $B$ be a $C^{*}$-algebra, $X$ a Hilbert $C^{*}$-module over $B$ and $M,N\subset X$ a pair of complemented submodules. We prove the $C^{*}$-module version of von Neumann's alternating projections theorem: the sequence $(P_{N}P_{M})^{n}$ is Cauchy
Externí odkaz:
http://arxiv.org/abs/2112.03822
Autor:
Mesland, Bram, Prodan, Emil
Publikováno v:
Commun. Math. Phys. 394, 143-213 (2022)
We consider the algebra $\dot\Sigma(\mathcal L)$ generated by the inner-limit derivations over the ${\rm GICAR}$ algebra of a fermion gas populating an aperiodic Delone set $\mathcal L$. Under standard physical assumptions such as finite interaction
Externí odkaz:
http://arxiv.org/abs/2107.10681