Absorbing Sets in Quantum LDPC Codes
, 2023 Iterative decoder failures of quantum low density parity check (QLDPC) codes are attributed to substructures in the code's graph, known as trapping sets, as well as degenerate errors that can arise in quantum codes. Failure inducing sets are subsets of codeword coordinates that, when initially in error, lead to decoding failure in a trapping set.
Morris, Kirsten D. +2 more
openaire +2 more sources
Absorbing set spectrum approach for practical code design [PDF]
2011 IEEE International Symposium on Information Theory Proceedings, 2011 This paper focuses on controlling the absorbing set spectrum for a class of regular LDPC codes known as separable, circulant-based (SCB) codes. For a specified circulant matrix, SCB codes all share a common mother matrix, examples of which are array-based LDPC codes and many common quasi-cyclic codes.
Wang, Jiadong +3 more
openaire +2 more sources
Hyperbolic Relaxation of a Fourth Order Evolution Equation
Abstract and Applied Analysis, 2013 We propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term , where . We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in .
Renato Colucci, Gerardo R. Chacón
doaj +1 more source
Aerosol radiative effects in the ultraviolet, visible, and near-infrared spectral ranges using long-term aerosol data series over the Iberian Peninsula [PDF]
Atmospheric Chemistry and Physics, 2014 A better understanding of aerosol radiative properties is a crucial challenge for climate change studies. This study aims at providing a complete characterization of aerosol radiative effects in different spectral ranges within the shortwave (SW) solar ...
D. Mateos +7 more
doaj +1 more source
Weak topologies for Carath\'eodory differential equations. Continuous dependence, exponential Dichotomy and attractors [PDF]
, 2018 We introduce new weak topologies and spaces of Carath\'eodory functions where the solutions of the ordinary differential equations depend continuously on the initial data and vector fields.
Longo, Iacopo P. +2 more
core +3 more sources
Exactness and maximal automorphic factors of unimodal interval maps [PDF]
, 2000 We study exactness and maximal automorphic factors of C^3 unimodal maps of the interval. We show that for a large class of infinitely renormalizable maps, the maximal automorphic factor is an odometer with an ergodic non-singular measure.
Bruin, Henk, Hawkins, Jane
core +2 more sources
Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion [PDF]
, 2015 In this tutorial, we discuss self-excited and hidden attractors for systems of differential equations. We considered the example of a Lorenz-like system derived from the well-known Glukhovsky--Dolghansky and Rabinovich systems, to demonstrate the ...
Kuznetsov, N. V. +2 more
core +1 more source
Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian
Nonlinear Analysis, 2015 In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
doaj +1 more source
Modeling the radiative effects of desert dust on weather and regional climate [PDF]
Atmospheric Chemistry and Physics, 2013 Mineral dust aerosols exert a significant effect on both solar and terrestrial radiation. By absorbing and scattering, the solar radiation aerosols reduce the amount of energy reaching the surface.
C. Spyrou +5 more
doaj +1 more source
Strong Players and Stable Coalition Structures in PMAS Profit Game
Axioms, 2022 In a non-negative profit game that possesses a Population Monotonic Allocation Scheme (PMAS), being a member of a larger coalition implies that your profit cannot decrease. In this paper, we refer to such games as PMAS profit games.
Ana Meca, Greys Sošić
doaj +1 more source