Ground states of Heisenberg evolution operator in discrete three-dimensional space-time and quantum discrete BKP equations [PDF]
In this paper we consider three-dimensional quantum q-oscillator field theory without spectral parameters. We construct an essentially big set of eigenstates of evolution with unity eigenvalue of discrete time evolution operator.
Bazhanov V V +12 more
core +1 more source
Combinatorial Generation Algorithms for Directed Lattice Paths
Graphs are a powerful tool for solving various mathematical problems. One such task is the representation of discrete structures. Combinatorial generation methods make it possible to obtain algorithms that can create discrete structures with specified ...
Yuriy Shablya +2 more
doaj +1 more source
Discrete Modeling and Period-Adding Bifurcation of DC–DC Converter Feeding Constant Power Load
In this work, an including the switched evolution process discrete model of a DC–DC converter feeding a switched constant power load is proposed based on the Poincaré mapping rule and matrix exponent method.
Liangyu Huang, Yimin Lu
doaj +1 more source
Concentration Properties of Extremal Parameters in Random Discrete Structures [PDF]
The purpose of this survey is to present recent results concerning concentration properties of extremal parameters of random discrete structures. A main emphasis is placed on the height and maximum degree of several kinds of random trees. We also provide
Michael Drmota
doaj +1 more source
Discrete breathers in protein structures [PDF]
Recently, using a numerical surface cooling approach, we have shown that highly energetic discrete breathers (DB) can form in the stiffest parts of nonlinear network models of large protein structures. In the present study, using an analytical approach, we extend our previous results to low-energy discrete breathers as well as to smaller proteins We ...
Piazza, F., Sanejouand, Y. -H.
openaire +4 more sources
Effect of discrete resonant manifold structure on discrete wave turbulence [PDF]
We consider the long-term dynamics of nonlinear dispersive waves in a finite periodic domain. The purpose of the work is to show that the statistical properties of the wave field rely critically on the structure of the discrete resonant manifold (DRM).
Alexander Hrabski, Yulin Pan
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MAIN DIRECTIONS IN GEOMETRIC SHAPING OF REGULAR DISCRETE STRUCTURES IN DESIGN
The article expands on some important aspects in the geometric shaping of regular discrete structures in different areas of design and architecture and outlines main promising directions for their development.
Korotich Andrey V.
doaj +1 more source
SOME MORPHOLOGICAL ASPECTS OF FORM IN REGULAR DISCRETE STRUCTURES IN DESIGN
Some aspects of geometric form generation in regular discrete structures for different spheres of design and architecture are elaborated and the main promising directions/trends in their development are identified.
Korotich Andrey V.
doaj +1 more source
Epidemic models with discrete state structures
The state of an infectious disease can represent the degree of infectivity of infected individuals, or susceptibility of susceptible individuals, or immunity of recovered individuals, or a combination of these measures. When the disease progression is long such as for HIV, individuals often experience switches among different states.
Liu, Suli, Li, Michael Y.
openaire +4 more sources
Two interacting diffusing particles on low-dimensional discrete structures
In this paper we study the motion of two particles diffusing on low-dimensional discrete structures in presence of a hard-core repulsive interaction.
Aslangul C +16 more
core +2 more sources

