A possible approach to inclusion of space and time in frame fields of quantum representations of real and complex numbers.
Edge-reinforced random walk, vertex-reinforced jump process and the supersymmetric hyperbolic sigma model
Edge-reinforced random walk (ERRW), introduced by Coppersmith and Diaconis in 1986 [8], is a random process which takes values in the vertex set of a graph and is more likely to cross edges it has visited before. We show that it can be represented in terms of a vertex-reinforced jump process (VRJP) with independent gamma conductances; the VRJP was conceived by Werner and first studied by Davis and Volkov [10, 11], and is a continuous-time process favouring sites with more local time. We calculate,...
Electronic properties of disclinated nanostructured cylinders
The electronic structure of the nanocylinder is investigated. Two cases of this kind of the nanostructure are explored: the defect-free nanocylinder and the nanocylinder whose geometry is perturbed by 2 heptagonal defects lying on the opposite sides. The characteristic quantity which is of our interest is the local density of states. To calculate it, the continuum gauge field-theory model will be used. In this model, the Dirac-like equation is solved on a curved surface. This procedure was used...
Instanton-anti-instanton solutions of discrete Yang-Mills equations
We study a discrete model of the Yang-Mills equations on a combinatorial analog of . Self-dual and anti-self-dual solutions of discrete Yang-Mills equations are constructed. To obtain these solutions we use both the techniques of a double complex and the quaternionic approach.
Integrals of Motion of Classical Lattice Sine-Gordon System
Lattice field theory with the sign problem and the maximum entropy method.
New affine coherent states based on elements of nonrenormalizable scalar field models.
Rearrangement of lattice particles.
The list of volume's 32 (2003) referees
Бинарное преобразование Дарбу для цепочки Тоды
Нормы связанных состояний
О решениях классического уравнения треугольников, ассоциированных с многоподрешеточным уравнением Ландау-Лифшица
Обобщенный гиростат Горячева-Чаплыгина в квантовой механике