Results 11 to 20 of about 33,620 (82)
Cohomology of the discrete de Rham complex on domains of general topology [PDF]
Calcolo, 2022 In this work we prove that, for a general polyhedral domain of $$\mathbb {R}^3$$ R 3 , the cohomology spaces of the discrete de Rham complex of Di Pietro and Droniou (Found Comput Math 23:85–164, 2023, https://doi.org/10.1007/s10208-021-09542-8 ) are ...
D. A. Di Pietro +2 more
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Functionally Separation Axioms on General Topology
, 2021 In this paper, we define a new family of separation axioms in the classical topology called functionally spaces for . With the assistant of illustrative examples, we reveal the relationships between them as well as their relationship with spaces for . We
A. Mhemdi, T. Al-shami
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End-to-End Latency Prediction for General-Topology Cut-Through Switching Networks
IEEE Access, 2020 Low latency networking is gaining attention to support futuristic network applications like the Tactile Internet with stringent end-to-end latency requirements. In realizing the vision, cut-through (CT) switching is believed to be a promising solution to
S. Choi, Kyubo Shin, Hyoil Kim
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Spacetimes as Topological Spaces, and the Need to Take Methods of General Topology More Seriously [PDF]
Current Trends in Mathematical Analysis and Its Interdisciplinary Applications, 2018 Why is the manifold topology in a spacetime taken for granted? Why do we prefer to use Riemann open balls as basic-open sets, while there also exists a Lorentz metric?
Kyriakos Papadopoulos, F. Scardigli
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Routing and admission control in general topology networks with Poisson arrivals
ACM-SIAM Symposium on Discrete Algorithms, 1995 Emerging high speed Broadband Integrated Services Digital Networks (B-ISDN) will carry traffic for services such as video-on-demand and video teleconferencing -- that require resource reservation along the path on which the traffic is sent.
A. Kamath, O. Palmon, Serge A. Plotkin
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Homotopy, symmetry, and non-Hermitian band topology [PDF]
Reports on progress in physics. Physical Society, 2023 Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering of waves and open quantum many-body systems.
Kang Yang +5 more
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Non-Hermitian Boundary Modes and Topology. [PDF]
Physical Review Letters, 2019 We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary codimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green's functions, we outline a generic ...
Dan S. Borgnia +2 more
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Chow–Witt rings and topology of flag varieties [PDF]
Journal of Topology, 2023 The paper computes the Witt‐sheaf cohomology rings of partial flag varieties in type A in terms of the Pontryagin classes of the subquotient bundles. The proof is based on a Leray–Hirsch‐type theorem for Witt‐sheaf cohomology for the maximal rank cases ...
Thomas Hudson +2 more
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Topology of black hole thermodynamics in Lovelock gravity [PDF]
Physical Review D, 2022 In this work, we present a convenient method to perform the topological analysis of black hole thermodynamics. Utilizing the spinodal curve, thermodynamic critical points of a black hole are endowed with a topological quantity, Brouwer degree, which ...
Ning Bai, Lei Li, Jun Tao
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Topology-Aware Graph Neural Networks for Learning Feasible and Adaptive AC-OPF Solutions [PDF]
IEEE Transactions on Power Systems, 2022 Solving the optimal power flow (OPF) problem is a fundamental task to ensure the system efficiency and reliability in real-time electricity grid operations. We develop a new topology-informed graph neural network (GNN) approach for predicting the optimal
Shaohui Liu, Chengyang Wu, Hao Zhu
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