For a clutter C over ground set E, a pair of distinct edges e, f ∈ E are coexclusive if every minimal cover contains at most one of them. An identification of C is another clutter obtained after identifying coexclusive edges of C. If a clutter is non-packing, then so is any identification of it. Inspired by this observation, and impelled by the lack of a qualitative characterization for ideal m...

We consider the question: can the isotropy representation of an irreducible pseudoRiemannian symmetric space be realized as a conformal holonomy group? Using recent results of Čap, Gover and Hammerl, we study the representations of SO(2, 1), PSU(2, 1) and PSp(2, 1) as isotropy groups of irreducible symmetric spaces of signature (3, 2), (4, 4) and (6, 8), respectively, describing the geometry in...

In this article, we introduce monomial irreducible representations of the special linear Lie algebra $sln$. We will show that this kind of representations have bases for which the action of the Chevalley generators of the Lie algebra on the basis elements can be given by a simple formula.

Given access to a single long trajectory generated by an unknown irreducible Markov chain M, we simulate $$\alpha $$ -lazy version of M which is ergodic. This enables us generalize recent results on estimation and identity testing, that were stated for ergodic chains, in way allows fully empirical inference. In particular, our approach shows the pseudo spectral gap introduced Paulin (Electron J...

Abstract The category of smooth, irreducible, projective, complex algebraic curves is equivalent to the compact Riemann surfaces. We study automorphism groups surfaces which are with real moduli. A curve C has moduli when corresponding surface $$X_C$$ X C admits an anti...

For any polynomial ideal I, let the minimal triangular set contained in the reduced Buchberger-Gröbner basis of I with respect to the purely lexicographical term order be called the W-characteristic set of I. In this paper, we establish a strong connection between Ritt’s characteristic sets and Buchberger’s Gröbner bases of polynomial ideals by showing that the W-characteristic set C of I is a ...

We consider multivariate pseudo-linear functions over finite fields of characteristic two. A pseudo-linear polynomial is a sum of guarded linear-terms, where a guarded linear-term is a product of one or more linear-guards and a single linear term, and each linear-guard is again a linear term but raised to the power q-1, where q is the field size. Pseudo-linear functions over GF(2) are given by ...

In this article we examine two relatively new MCMC methods which allow for Bayesian inference in diffusion models. First, the Monte Carlo within Metropolis (MCWM) algorithm (O’Neil, Balding, Becker, Serola and Mollison, 2000) uses an importance sampling approximation for the likelihood and yields a limiting stationary distribution that can be made arbitrarily “close” to the posterior distributi...

Studying degenerations of moduli spaces semistable principal bundles on smooth curves leads to the problem constructing and studying singular curves. In this note, we will see that $\delta$-semistable pseudo a nodal curve constructed by first author become, for large values $\delta$, bundles. The latter are reasonable candidates potential basis further developments as irreducible particular, fi...