Results 11 to 20 of about 190 (189)
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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Lattice structure of Weyl groups via representation theory of preprojective algebras [PDF]
Compositio Mathematica, 2018 This paper studies the combinatorics of lattice congruences of the weak order on a finite Weyl group $W$, using representation theory of the corresponding preprojective algebra $\unicode[STIX]{x1D6F1}$. Natural bijections are constructed between important objects including join-irreducible congruences, join-irreducible (respectively, meet-irreducible ...
Iyama, Osamu +3 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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Path integral loop representation of 2+1 lattice non-Abelian gauge theories [PDF]
Physical Review D, 1998 A gauge invariant Hamiltonian representation for SU(2) in terms of a spin network basis is introduced. The vectors of the spin network basis are independent and the electric part of the Hamiltonian is diagonal in this representation. The corresponding path integral for SU(2) lattice gauge theory is expressed as a sum over colored surfaces, i.e.
J. M. Aroca, Hugo Fort, Rodolfo Gambini
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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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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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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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A Path-Based Partial Information Decomposition
Entropy, 2020 Based on the conceptual basis of information theory, we propose a novel mutual information measure—‘path-based mutual information’. This information measure results from the representation of a set of random variables as a probabilistic graphical model ...
David Sigtermans
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String representation of Abelian Higgs theory and Aharonov-Bohm effect on the lattice [PDF]
Physics Letters B, 1993 (This resubmitted paper includes two additional references), 10pages,LaTeX, ITEP-16 ...
Polikarpov, M. I. +2 more
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