Discrete Tracy--Widom operators. [PDF]
, 2009 Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles.
McCafferty, Andrew, Blower, Gordon
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A New Discrete Mycorrhiza Optimization Nature-Inspired Algorithm
Axioms, 2022 This paper presents the discrete version of the Mycorrhiza Tree Optimization Algorithm (MTOA), using the Lotka–Volterra Discrete Equation System (LVDES) formed by the Predator–Prey, Cooperative and Competitive Models.
Hector Carreon-Ortiz +2 more
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The extremal graphs with respect to their nullity
Journal of Inequalities and Applications, 2016 The nullity of a graph G, denoted by η ( G ) $\eta(G)$ , is the multiplicity of the eigenvalue zero of its adjacency matrix. In this paper, we determine all graphs with η ( G ) = n ( G ) − 2 m ( G ) − c ( G ) $\eta(G)=n(G) - 2m(G) -c(G)$ , where c ( G ) =
Sa Rula, An Chang, Yirong Zheng
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Generalised verification of the observer property in discrete event systems [PDF]
, 2012 The observer property is an important condition to be satisfied by abstractions of Discrete Event Systems (DES) models. This paper presents a generalised version of a previous algorithm which tests if an abstraction of a DES obtained through natural ...
Pena, Patricia N. +4 more
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Conflict-preserving abstraction of discrete event systems using annotated automata [PDF]
, 2012 This paper proposes to enhance compositional verification of the nonblocking property of discrete event systems by introducing annotated automata. Annotations store nondeterministic branching information, which would otherwise be stored in extra states ...
Malik, Robi, Ware, Simon
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Bicyclic graphs with maximum sum of the two largest Laplacian eigenvalues
Journal of Inequalities and Applications, 2016 Let G be a simple connected graph and S 2 ( G ) $S_{2}(G)$ be the sum of the two largest Laplacian eigenvalues of G. In this paper, we determine the bicyclic graph with maximum S 2 ( G ) $S_{2}(G)$ among all bicyclic graphs of order n, which confirms the
Yirong Zheng +3 more
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Discrete element method to simulate continuous material by using the cohesive beam model [PDF]
, 2012 The mechanical behavior of materials is usually simulated by the continuous mechanics approach. However, simulation of non-continuous phenomena like multi fracturing is not well adapted to a continuous description.
Jean-luc Charles +8 more
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Lagrange Dual Method for Sparsity Constrained Optimization
IEEE Access, 2018 In this paper, we investigate the l0 quasi-norm constrained optimization problem in the Lagrange dual framework and show that the strong duality property holds.
Wenxing Zhu +3 more
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Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems [PDF]
, 2011 This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior calculus, we introduce a simplicial Dirac structure as a discrete analogue
Seslija, Marko, +11 more
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Discrete Element Method, a Tool to Investigate Complex Material Behaviour in Material Forming [PDF]
, 2010 Discrete Model is based on the description of the physical state (velocity, position, temperature, magnetic moment, electric potential ..) of a large number of discrete elements that form the media to be studied.
M. G. Lee +11 more
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