One-dimensional vertex models associated with a class of Yangian invariant Haldane-Shastry like spin chains.
Periodic sphere packings and the Wulff-shape.
Quantum integrable 1D anyonic models: construction through braided Yang-Baxter equation.
Quasicrystallographic groups on Minkowski spaces.
Reconstruction des phases en cristallographie par maximum d'entropie
Representation theory of finite Abelian groups applied to a linear diatomic crystal.
Structural stability of classical lattices in one dimension
Surface energies in a two-dimensional mass-spring model for crystals
We study an atomistic pair potential-energy E(n)(y) that describes the elastic behavior of two-dimensional crystals with natoms where characterizes the particle positions. The main focus is the asymptotic analysis of the ground state energy asn tends to infinity. We show in a suitable scaling regime where the energy is essentially quadratic that the energy minimum of E(n) admits an asymptotic expansion involving fractional powers of n: The bulk energy densityEbulk is given by an explicit expression...
Surface energies in a two-dimensional mass-spring model for crystals
We study an atomistic pair potential-energy E(n)(y) that describes the elastic behavior of two-dimensional crystals with n atoms where characterizes the particle positions. The main focus is the asymptotic analysis of the ground state energy as n tends to infinity. We show in a suitable scaling regime where the energy is essentially quadratic that the energy minimum of E(n) admits an asymptotic expansion involving fractional powers of n: The bulk energy density Ebulk is given by an explicit expression...
The Recent Generalizations of Colored Symmetry
The short-range expansion in solid state physics
Two dimensional lattice vibrations from direct product representations of symmetry groups.
Začátky mathematické krystallografie [I.]
Začátky mathematické krystallografie [II.]
Začátky mathematické krystallografie [III.]
Začátky mathematické krystallografie [IV.]
Группы орнаментов на плоскости Минковского
Квазипериодические покрытия и квазикристаллы
Структура -оптимальных решений кинематической обпатной задачи дифракции от поликристалличеких объектов