Add to ORKG10 pagesWe present the geometric solutions of the various extremal problems of statistical mechanics and combinatorics. Together with the Wulff construction, which predicts the shape of the crystals, we discuss the construction which exhibits the shape of a typical Young diagram and of a typical skyscraper
The paper considers some issues of combinatorial-variational geometric modeling for computer-aided f...
The properties of the combinatorial optimization problems by the geometric methods have been studied...
In this thesis we study aspects of the limit shape phenomenon for two-dimensional lattice models. Th...
The rigorous microscopic theory of equilibrium crystal shapes has made enormous progress during the ...
We define an analogue of the Gibbs--Curie energy for quasi--crystals. We show that there exists a Wu...
Article in a peer-reviewed open-access encyclopedia.International audienceWulff shape of crystals. T...
In this paper we investigate Wulff shapes in Rⁿ⁺¹ (n ≥ 0) from the topological viewpoint. A topologi...
In recent years many researchers in material science have focused their attention on the study of co...
We study several problems in discrete geometry and extremal combinatorics. Discrete geometry studies...
AbstractExtremal Combinatorics is one of the central areas in Discrete Mathematics. It deals with pr...
Extremal Combinatorics is one of the most active topics in Discrete Mathematics, dealing with proble...
Geometric measure theory has become increasingly essential to geometry as well as numerous and varie...
In this thesis we develop techniques for solving problems in extremal geometry. We give an infinite ...
This book treats ensembles of Young diagrams originating from group-theoretical contexts and investi...
AbstractTen problems in mathematical crystallography are presented which are chosen in the fields of...
The paper considers some issues of combinatorial-variational geometric modeling for computer-aided f...
The properties of the combinatorial optimization problems by the geometric methods have been studied...
In this thesis we study aspects of the limit shape phenomenon for two-dimensional lattice models. Th...
The rigorous microscopic theory of equilibrium crystal shapes has made enormous progress during the ...
We define an analogue of the Gibbs--Curie energy for quasi--crystals. We show that there exists a Wu...
Article in a peer-reviewed open-access encyclopedia.International audienceWulff shape of crystals. T...
In this paper we investigate Wulff shapes in Rⁿ⁺¹ (n ≥ 0) from the topological viewpoint. A topologi...
In recent years many researchers in material science have focused their attention on the study of co...
We study several problems in discrete geometry and extremal combinatorics. Discrete geometry studies...
AbstractExtremal Combinatorics is one of the central areas in Discrete Mathematics. It deals with pr...
Extremal Combinatorics is one of the most active topics in Discrete Mathematics, dealing with proble...
Geometric measure theory has become increasingly essential to geometry as well as numerous and varie...
In this thesis we develop techniques for solving problems in extremal geometry. We give an infinite ...
This book treats ensembles of Young diagrams originating from group-theoretical contexts and investi...
AbstractTen problems in mathematical crystallography are presented which are chosen in the fields of...
The paper considers some issues of combinatorial-variational geometric modeling for computer-aided f...
The properties of the combinatorial optimization problems by the geometric methods have been studied...
In this thesis we study aspects of the limit shape phenomenon for two-dimensional lattice models. Th...