A classification of rank 6 quadratic spaces via pfaffians.
A classification of the nilpotent triangular matrices
A classification of two-peak sincere posets of finite prinjective type and their sincere prinjective representations
Assume that K is an arbitrary field. Let (I, ⪯) be a two-peak poset of finite prinjective type and let KI be the incidence algebra of I. We study sincere posets I and sincere prinjective modules over KI. The complete set of all sincere two-peak posets of finite prinjective type is given in Theorem 3.1. Moreover, for each such poset I, a complete set of representatives of isomorphism classes of sincere indecomposable prinjective modules over KI is presented in Tables 8.1.
A combinatorial approach to the conditioning of a single entry in the stationary distribution for a Markov chain.
A combinatorial identity arising from cobordism theory.
A combinatorial problem arising in finite Markov chains
A common recursion for Laplacians of matroids and shifted simplicial complexes.
A comparison of two upper bounds on the permanent of -matrices. (Ein Vergleich zweier oberer Schranken für die Permanente von -Matrizen.)
A Computational Method for Eigenvalues and Eigenvectors of a Matrix with Real Eigenvalues.
A conjecture on minimum permanents
We consider the permanent function on the faces of the polytope of certain doubly stochastic matrices, whose nonzero entries coincide with those of fully indecomposable square -matrices containing the identity submatrix. We show that a conjecture in K. Pula, S. Z. Song, I. M. Wanless (2011), is true for some cases by determining the minimum permanent on some faces of the polytope of doubly stochastic matrices.
A contribution to Collatz's eigenvalue inclusion theorem for nonnegative irreducible matrices.
A Contribution to the Theory of Condition.
A convergence criterion for multiple ratios
A Convergent Jacobi Method for Solving the Eigenproblem of Arbitrary Real Matrices.
A convex treatment of numerical radius inequalities
We prove an inner product inequality for Hilbert space operators. This inequality will be utilized to present a general numerical radius inequality using convex functions. Applications of the new results include obtaining new forms that generalize and extend some well known results in the literature, with an application to the newly defined generalized numerical radius. We emphasize that the approach followed in this article is different from the approaches used in the literature to obtain such...
A counterexample to Merikoski-Kumar conjecture on the product of normal matrices.
A deflation formula for tridiagonal matrices
An explicit formula for the deflation of a tridiagonal matrix is presented. The resulting matrix is again tridiagonal.
A Deformed Quon Algebra
The quon algebra is an approach to particle statistics in order to provide a theory in which the Pauli exclusion principle and Bose statistics are violated by a small amount. The quons are particles whose annihilation and creation operators obey the quon algebra which interpolates between fermions and bosons. In this paper we generalize these models by introducing a deformation of the quon algebra generated by a collection of operators , , on an infinite dimensional vector space satisfying the...
A determinant formula from random walks
One usually studies the random walk model of a cat moving from one room to another in an apartment. Imagine now that the cat also has the possibility to go from one apartment to another by crossing some corridors, or even from one building to another. That yields a new probabilistic model for which each corridor connects the entrance rooms of several apartments. This article computes the determinant of the stochastic matrix associated to such random walks. That new model naturally allows to compute...
A determinant of Ostrowski.