This paper introduces a spatial framework for high-frequency returns and a faster double-conditional smoothing algorithm to carry out bivariate kernel estimation of the volatility surface. A spatial multiplicative component GARCH with random effects is proposed to deal with multiplicative random effects found from the data. It is shown that the probabilistic properties of the stochastic part an...

We consider a generalized adaptive and active adversary model for unconditionally secure Multi-Party Computation (MPC) in the zero error case. Cramer et al. proposed a generic approach to build a multiplicative Monotone Span Programs (MSP) – the special property of a Linear Secret Sharing Schemes (LSSS) that is needed to perform a multiplication of shared values. They give an efficient generic ...

In this article, we study the asymptotic dynamics of a stochastic strongly damped plate system with homogeneous Neumann boundary conditions and multiplicative noise. First, investigate existence uniqueness solutions in infinite-dimensional dynamical systems using notion mild solutions, then examine presence bounded absorbing set. Finally, compactness by decomposition technique to prove random a...

In this paper, we establish the existence of a random attractor for dynamical system generated by non-autonomous wave equation with strong damping and multiplicative noise when nonlinear term satisfies critical growth condition.

We prove that multiplicative preprojective algebras, defined by Crawley-Boevey and Shaw, are 2-Calabi-Yau in the case of quivers containing unoriented cycles. If quiver is not itself a cycle, we show center trivial, hence Calabi-Yau structure unique. algebra non-commutative crepant resolution its center, ring functions on corresponding variety with type A surface singularity. also dg versions t...

‎We extend the notion of approximately multiplicative to approximately n-multiplicative maps between locally multiplicatively convex algebras and study some properties of these maps‎. ‎‎W‎e prove that every approximately n-multiplicative linear functional on a functionally continuous locally multiplicatively convex algebra is continuous‎. ‎We also study the relationship between approximately mu...

Secret sharing [1] is a well-established topic in the information security [2]. It attracts renewed interest after Cramer et al. [3] revealed that any linear secret sharing with the so-called multiplicative (or strongly multiplicative) property can be used for the secure multiparty computation. Later, the multiplicative properties were generalized to the ramp secret sharing [4], [5]. In [5, Sec...

Mader (1985) proved that every strongly $k$-connected $n$-vertex digraph contains a strongly $k$-connected spanning subgraph with at most $2kn - 2k^2$ edges, and this is sharp. For dense strongly $k$-connected digraphs, the bound can be significantly improved for dense strongly $k$-connected digraphs. Let $\overline{\Delta}(D)$ be the maximum degree of the complement of the underlying undirecte...

• We give a 1.5-approximation for half-integral weighted MSCSS. Our matches known integrality gap lower bound. 2 − f approximation if LP values are bounded below by . In the minimum strongly connected spanning subgraph ( WMSCSS ) problem we must purchase minimum-cost of digraph. show that linear program (LP) solutions can be efficiently rounded to integral at multiplicative 1.5 cost. This round...