相关论文: A Constructive Demostration of the Uniqueness of t…

We discuss certain matrices associated with Christoffel words, and show that they have a group structure. We compute their determinants and show a relationship between the Zolotareff symbol from number theory.

Markoff triples are parametrized uniquely by Christoffel words.

The present note sketches a theory of constructs.

Symbol is used to describe the Springer correspondence for the classical groups. We prove two structure theorems of symbol. We propose a construction of the symbol of the rigid partitions in the $B_n$, $C_n$, and $D_n$ theories. This…

Motivated by the theory of trapezoidal words, whose sequences of cardinality of factors by length are symmetric, we introduce a bivariate variant of this symmetry. We show that this symmetry characterizes Christoffel words, and establish…

We give a purely combinatorial proof of the Glaisher-Crofton identity which derives from the analysis of discrete structures generated by iterated second derivative. The argument illustrates utility of symbolic and generating function…

We introduce a family of modules, called Markoff modules, generated by a cluster-mutation-like iterative process. We show that these modules are combinatorially similar to Christoffel words. Furthermore, we construct a bijective map between…

The symbol is used to describe the Springer correspondence for the classical groups. We propose equivalent definitions of symbols for rigid partitions in the $B_n$, $C_n$, and $D_n$ theories uniformly. Analysing the new definition of symbol…

We show uniqueness up to sign of positive, orthogonal almost-Kaehler structures on any non-scalar flat Kaehler-Einstein surface.

In this short note, we prove the uniqueness of exterior differentiation on locally finite graphs.

These notes are a self-contained short proof of the stability of persistence diagrams.

Our purpose is to prove the uniqueness of the representation for $G$-martingales with finite variation.

In this note we prove that certain twisted flag varieties carry Ulrich bundles.

If the sequent (Gamma entails forall x exists y A) is provable in first order constructive natural deduction, then the theory (Gamma, forall x (f (x)/y)A), where f is a new function symbol, is a conservative extension of Gamma.

We describe and prove uniqueness of a natural homomorphism between some groups associated to finite sets.

We discuss a construction that gives counterexamples to various questions of unique determination of convex bodies.

The purpose of this note is to rephrase Speyer's elegant topological proof for Kasteleyn's Theorem in a simple graph theoretical manner.

The goal of this note is to provide a constructive version of the proof of local structure of etale algebras.

We give a new proof of the existence of designs, which is much shorter and gives better bounds.

We study some properties of the characteristic cycle of a constructible complex on a smooth variety over a perfect field, push-forward and product.