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Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces
International Journal of Differential Equations, 2011 We study stochastic partly dissipative lattice systems with random coupled coefficients and multiplicative/additive white noise in a weighted space of infinite sequences.
Xiaoying Han
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Affine charge and the $k$-bounded Pieri rule [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We provide a new description of the Pieri rule of the homology of the affine Grassmannian and an affineanalogue of the charge statistics in terms of bounded partitions.
Jennifer Morse, Anne Schilling
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Topological Properties of the Complex Vector Lattice of Bounded Measurable Functions
Journal of Function Spaces and Applications, 2013 Let Σ be a σ-algebra of subsets of a nonempty set Ω. Let be the complex vector lattice of bounded Σ-measurable complex-valued functions on Ω and let be the Banach space of all bounded countably additive complex-valued measures on Ω.
Marian Nowak
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Formal Ordinal Sums of Triangular Norms on Modular Lattices
MathematicsThe formal ordinal sums of t-norms on the bounded lattice is defined by Saminger, but the formal ordinal sum need not be a t-norm. Hence, she provides a necessary and sufficient condition such that the formal ordinal sum is a t-norm indeed. In this paper,
Yang Luo
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International Journal of Mathematics and Mathematical Sciences, 2001 Antichains of a finite bounded poset are assigned antichains playing a role analogous to that played by blockers in the Boolean lattice of all subsets of a finite set. Some properties of lattices of generalized blockers are discussed.
Andrey O. Matveev
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An Efficient Algorithm for the Shortest Vector Problem
IEEE Access, 2018 Lattice is widely used in cryptography since it has potential for defending quantum attacks. One of the significant problems in such cryptography is the shortest vector problem (SVP). This problem is to find the non-zero shortest vector in lattice.
Yu-Lun Chuang, Chun-I Fan, Yi-Fan Tseng
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Half quantum vortices in a nematic superconductor
Physical Review Research, 2020 Motivated by the superconductivity of M_{x}Bi_{2}Se_{3}, we study topological excitations in a nematic superconductor using Ginzburg-Landau theory. An isolated excitation at low field is shown to be either a distorted phase vortex or a tightly-bounded ...
Pye Ton How, Sung-Kit Yip
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Bounds on Area Involving Lattice Size
The Electronic Journal of Combinatorics, 2023 The lattice size of a lattice polygon $P$ is a combinatorial invariant of $P$ that was recently introduced in relation to the problem of bounding the total degree and the bi-degree of the defining equation of an algebraic curve. In this paper, we establish sharp lower bounds on the area of plane convex bodies $P\subset\mathbb{R}^2$ that involve the ...
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On the positive weak almost limited operators
Arab Journal of Mathematical Sciences, 2015 Using the concept of approximately order bounded sets with respect to a lattice seminorm, we establish some new characterizations of positive weak almost limited operators on Banach lattices.
Nabil Machrafi +3 more
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Lattice scars: surviving in an open discrete billiard
New Journal of Physics, 2014 We study quantum systems on a discrete bounded lattice (lattice billiards). The statistical properties of their spectra show universal features related to the regular or chaotic character of their classical continuum counterparts.
Víctor Fernández-Hurtado +3 more
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