Critical Behavior and Universality Classes for an Algorithmic Phase Transition in Sparse Reconstruction
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DOI: 10.1007/s10955-019-02292-6
Abstract: Recovery of an N-dimensional, K-sparse solution $${\mathbf {x}}$$x from an M-dimensional vector of measurements $${\mathbf {y}}$$y for multivariate linear regression can be accomplished by minimizing a suitably penalized least-mean-square cost $$||{\mathbf {y}}-{\mathbf {H}} {\mathbf {x}}||_2^2+\lambda… read more here.
Keywords: alpha alpha; mathbf; mathbf mathbf; alpha ... See more keywords
Noninteracting fermions in a trap and random matrix theory
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab098d
Abstract: We review recent advances in the theory of trapped fermions using techniques borrowed from random matrix theory (RMT) and, more generally, from the theory of determinantal point processes. In the presence of a trap, and… read more here.
Keywords: theory; random matrix; edge; matrix theory ... See more keywords
Multicritical behavior in topological phase transitions
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DOI: 10.1103/physrevb.100.195432
Abstract: Topological phase transitions can be described by the theory of critical phenomena and identified by critical exponents that define their universality classes. This is a consequence of the existence of a diverging length at the… read more here.
Keywords: universality classes; behavior topological; topological phase; phase transitions ... See more keywords
Infinite families of fracton fluids with momentum conservation
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DOI: 10.1103/physrevb.105.024311
Abstract: We construct infinite families of new universality classes of fracton hydrodynamics with momentum conservation, both with multipole conservation laws and/or subsystem symmetry. We explore the effects of broken inversion and/or time-reversal symmetry at the ideal… read more here.
Keywords: infinite families; momentum; universality classes; families fracton ... See more keywords
Universality Classes of Spin Transport in One-Dimensional Isotropic Magnets: The Onset of Logarithmic Anomalies.
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DOI: 10.1103/physrevlett.124.210605
Abstract: We report a systematic study of finite-temperature spin transport in quantum and classical one-dimensional magnets with isotropic spin interactions, including both integrable and nonintegrable models. Employing a phenomenological framework based on a generalized Burgers' equation… read more here.
Keywords: universality classes; spin transport; classes spin; one dimensional ... See more keywords