One-dimensional stochastic differential equations with generalized and singular drift

Introducing certain singularities, we generalize the class of one-dimensional stochastic differential equations with so-called generalized drift. Equations with generalized drift, well-known in the literature, possess a drift that is described by the semimartingale local time of the unknown process integrated with respect to a locally finite signed measure ν$\nu$. The generalization which we deal with can be interpreted as allowing more general set functions ν$\nu$, for example signed measures which are only σ$\sigma$-finite. However, we use a different approach to describe the singular drift. For the considered class of one-dimensional stochastic differential equations, we derive necessary and sufficient conditions for existence and uniqueness in law of solutions.     

Fusion and large cardinal preservation

In this paper we introduce some fusion properties of forcing notions which guarantee that an iteration with supports of size ?κ   not only does not collapse κ⁺${\kappa }^{+}$ but also preserves the strength of κ (after a suitable preparatory forcing). This provides a general theory covering the known cases of tree iterations which preserve large cardinals (cf. Dobrinen and Friedman (2010) [3], Friedman and Halilovi? (2011) [5], Friedman and Honzik (2008) [6], Friedman and Magidor (2009) [8], Friedman and Zdomskyy (2010) [10], Honzik (2010) [12]).     

Sublattices of associahedra and permutohedra

Grätzer asked in 1971 for a characterization of sublattices of Tamari lattices. A natural candidate was coined by McKenzie in 1972 with the notion of a bounded homomorphic image of a free lattice—in short, bounded lattice. Urquhart proved in 1978 that every Tamari lattice is bounded (thus so are its sublattices). Geyer conjectured in 1994 that every finite bounded lattice embeds into some Tamari lattice.     

Characters of Quantum Groups of Type A n

A presentation for an arbitrary group extension is well known. A generalization of the work by Conway et al. (Group Tensor1972, 25, 405–418) on central extensions has been given by Baik et al. (J. Group Theor.). As an application of this we discuss necessary and sufficient conditions for the presentation of the central extension to be p-Cockcroft, where p is a prime or 0. Finally, we present some examples of this result.     

改性聚醋酸乙烯乳液共聚涂料的研制与施工

报道了改性聚醋酸乙烯乳液的合成方法.配以各种助剂并经过高速分散、调色等配制而成水溶性建筑涂料.它具有附着力强、优异的耐酸碱性、耐水性,合成工艺简单、施工方便、价格低廉等优点.     

电磁屏蔽涂料研究进展

对电磁屏蔽原理及掺和型导电高分子材料的导电机制有关理论作了综述,概述了掺和型电磁屏蔽涂料的常用导电填料、复合工艺及性能影响因素,尤其介绍了复合工艺的最新进展--原位插层复(聚)合法.     

光交联交替层状自组装(LBL)抗菌膜的制备及其性能研究

针对静电超分子作用的交替层状自组装(LBL)膜稳定性差、易分解和难以实现应用的问题,设计合成了一种光交联型抗菌LBL多层膜.该LBL多层膜由修饰有光敏邻硝基苄醇分子的透明质酸(HANB)与季铵化的壳聚糖(ACS)通过静电作用在基片上交替沉积而成.光照后,HANB上的邻硝基苄醇分子产生活性醛基,与邻近壳聚糖上的氨基发生亚...