Results 11 to 20 of about 3,653 (237)
Big Data Mining: a Computer-Oriented Method of Working with the Semantics of Assertions
Современные информационные технологии и IT-образование, 2021 When analyzing large amounts of data with the involvement of experts of subject domain, the problem of knowledge representation arises, this problem lies in describing the semantic content of judgments with their subsequent formalization, automated ...
Galina Goremykina
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Path integral for the loop representation of lattice gauge theories [PDF]
Physical Review D, 1996 We show how the Hamiltonian lattice loop representation can be cast straightforwardly in the path integral formalism. The procedure is general for any gauge theory. Here we present in detail the simplest case: pure compact QED. We also analyze the non-Abelian Yang-Mills theory.
Aroca, J. M., Fort, H., Gambini, R.
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SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE
Forum of Mathematics, Pi, 2020 We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a $U(3)$-arithmetic manifold is purely local, that is, only depends on the Galois representation at places above $p$. This is a generalization to $\text{
DANIEL LE +3 more
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Graphical Models in Reconstructability Analysis and Bayesian Networks
Entropy, 2021 Reconstructability Analysis (RA) and Bayesian Networks (BN) are both probabilistic graphical modeling methodologies used in machine learning and artificial intelligence.
Marcus Harris, Martin Zwick
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Speeding Up Learning Quantum States Through Group Equivariant Convolutional Quantum Ansätze
PRX Quantum, 2023 We develop a theoretical framework for S_{n}-equivariant convolutional quantum circuits with SU(d) symmetry, building on and significantly generalizing Jordan’s permutational quantum computing formalism based on Schur-Weyl duality connecting both SU(d ...
Han Zheng +4 more
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Quantum Toda lattice: a challenge for representation theory
Journal of Physics: Conference Series, 2023 Abstract Quantum Toda lattice may solved by means of the Representation Theory of semisimple Lie groups, or alternatively by using the technique of the Quantum Inverse Scattering Method. A comparison of the two approaches sheds a new light on Representation Theory and leads to a number of challenging questions.
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U(1) lattice gauge theory in the electric-field representation [PDF]
Physical Review D, 1986 The Hamiltonian formulation of U(1) lattice gauge theory is studied in a basis of eigenstates of the electric-field operator. The guided-random-walk algorithm of Chin et al. is transcribed to the electric-field basis, and exact ground-state properties of the theory in three space dimensions are calculated.
Koonin, S. E. +2 more
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Variable-basis Categorically-algebraic Dualities
Fuzzy Information and Engineering, 2014 The manuscript continues our study on developing a categorically-algebraic (catalg) analogue of the theory of natural dualities of D. Clark and B. Davey, which provides a machinery for obtaining topological representations of algebraic structures.
Sergey A. Solovyov
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Holographic Wilson lines as screened impurities
Journal of High Energy Physics, 2020 In Landau Fermi liquids, screened impurities support quasi-bound states, representing electrons bound to the impurity but making virtual excursions away.
Nick Evans +2 more
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Thermodynamics of three-dimensional Kitaev quantum spin liquids via tensor networks
Physical Review Research, 2021 We study the 3D Kitaev and Kitaev-Heisenberg models, respectively, on the hyperhoneycomb and hyperoctagon lattices, both at zero and finite-temperature, in the thermodynamic limit.
Saeed S. Jahromi +2 more
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