Transactions of the American Mathematical Society, Vol. 367, No. 5 (MAY 2015), pp. 3481-3508 (28 pages) In this paper we show that the fields of rational invariants over the irreducible components of ...

Entanglement is a resource that is utilized on quantum devices to cary information on quantum bits (qubits), and is what gives a quantum computer its theoretical advantage over its classical ...

Set theory serves as a foundational pillar in mathematics, providing the language and tools necessary to discuss infinite collections. A central focus within this discipline is the study of cardinal ...

Knot theory, a branch of topology, examines the intricate properties of closed curves embedded in three-dimensional space. At its core is the study of knot invariants—quantitative measures that remain ...

Considering the electromagnetic and scalar fields in gravity without Lorenz invariance (LI), a model of holographic superconductor is constructed in Horava-Lishitz gravity. The studies show that the ...

We classify all cubic systems possessing the maximum number of invariant straight lines (real or complex) taking into account their multiplicities. We prove that there are exactly 23 topological ...

Graph out-of-distribution (OOD) generalization remains a major challenge in graph neural networks (GNNs). Invariant learning, aiming to extract invariant features across varied distributions, has ...

Graph out-of-distribution (OOD) generalization remains a major challenge in graph neural networks (GNNs). Invariant learning, aiming to extract ...