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Dirichlet Groups and Lattice Reduction
Let us study the structure of Dirichlet groups, which is actually the main reason for the periodicity of algebraic multidimensional sails (see Chap....
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Algebraic realization for simple groups
Let G be a finite simple group with elementary abelian Sylow 2 subgroup. We show that every closed smooth G manifold has a strongly algebraic model.
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A Modified Secant Method for Entropic Lattice Boltzmann Equations
AbstractStability of lattice Boltzmann equations is governed by a parameter that is responsible for the relaxation time of the nonequilibrium system...
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Vector Lattice Boltzmann Equations: From Magnetohydrodynamics to Active Matter
We present a lattice Boltzmann algorithm for simulating magnetohydrodynamics, and extend it to simulate the Jeffery equation that describes the...
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Families of faces and the normal cycle of a convex semi-algebraic set
We study families of faces for convex semi-algebraic sets via the normal cycle which is a semi-algebraic set similar to the conormal variety in...
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Orbifolds of lattice vertex algebras
To a positive-definite even lattice Q , one can associate the lattice vertex algebra V Q , and any automorphism σ of Q lifts to an automorphism of V Q ....
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Ideals, bands and direct sum decompositions in mixed lattice vector spaces
A mixed lattice vector space is a partially ordered vector space with two partial orderings and certain lattice-type properties. In this paper we...
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A Set-Theoretic Representation of Algebraic L-domains
In this paper, we aim to establish a concrete representation, as a family of sets, for every algebraic L-domain. We generalize the notion of a topped...
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Numerical Modeling of the Transformation of Whispering Gallery Modes of Photonic Crystal Lasers into Lattice Modes
AbstractThe current paper focuses on the study of 2-D photonic crystal lasers. The effect of changing of the photonic crystal laser structure on the...
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Quantitative Green’s function estimates for lattice quasi-periodic Schrödinger operators
In this paper, we establish quantitative Green’s function estimates for some higher-dimensional lattice quasi-periodic (QP) Schrödinger operators....
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Constructing lattice surfaces with prescribed Veech groups: an algorithm
The Veech group of a translation surface is the group of Jacobians of orientation-preserving affine automorphisms of the surface. We present an...
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Lattice structures in ternary semigroup of map**s
In this paper we present a construction for partial order in T [ X , Y ] which is called the ternary semigroup of map**s, derived from the partial...
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Finite Difference formulation of any lattice Boltzmann scheme
Lattice Boltzmann schemes rely on the enlargement of the size of the target problem in order to solve PDEs in a highly parallelizable and efficient...
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Lattice Cryptalization and Cybersecurity: New Findings in Analyzing Cryptovalues Dynamics
RSA-based scheme are the most popular asymmetric cryptosystems to date, being deployed in billions of security systems and applications. This RSA...