Smoothness of the Functional Law Generated by a Nonlinear SPDE

The authors consider a stochastic heat equation in dimension d=1 driven by an additive space time white noise and having a mild nonlinearity.It is proved that the functional law of its solution is absolutely continuous and possesses a smooth density with respect to the functional law of the corresponding linear SPDE.     

Finding Hamiltonian circuits in quasi-adjoint graphs

This paper is motivated by a method used for DNA sequencing by hybridization presented in [Jacek Blazewicz, Marta Kasprzak, Computational complexity of isothermic DNA sequencing by hybridization, Discrete Appl. Math. 154 (5) (2006) 718–729]. This paper presents a class of digraphs: the quasi-adjoint graphs. This class includes the ones used in the paper cited above. A polynomial recognition algorithm in O(n³), as well as a polynomial algorithm in O(n²+m²) for finding a Hamiltonian circuit in these graphs are given. Furthermore, some results about related problems such as finding a Eulerian circuit while respecting some forbidden transitions (a path with three vertices) are discussed.     

Relation between cubic-difference-tone generation and suppression

Two aspects of the relation between cubic-difference-tone (CDT) generation and suppression were investigated in normal hearing listeners. First, the effects of narrow-band noise and sinusoids on the two processes were examined using a forward-masking paradigm. Within individual listeners, cubic difference bands (CDBs) behaved much like CDTs whereas the suppression effects produced by narrow-band noise were substantially less than those produced by sinusoids. These results suggest that at least partially different processes underlie the two the two phenomena. Second, the role of suppression in the difference between forward- and simultaneous-masking estimates of CDB amplitude was investigated. The data across listeners were highly variable but indicated a more complicated interpretation than that proposed by Shannon and Houtgast [J. Acoust. Soc. Am. 68, 825-829 (1980)].     

On the extension of subadditive measures in lattice ordered groups

A lattice ordered group valued subadditive measure is extended from an algebra of subsets of a set to a σ-algebra.     

Self-consistent spatially inhomogeneous state in HTSC Ba1-x KxBiO3 single crystals

A spatially inhomogeneous state in HTSC Ba_1-x K_xBiO₃ single crystals (T _c ≈ 30 K, x = 0.4) has been studied at T < ? ≈ 17 K, where ? is the temperature of separation into superconducting and dielectric phases. This separation has earlier been detected in Ba_1-x K_xBiO₃ polycrystals. In the single crystals, the main results are obtained from hysteretic magnetization reversal curves, whereas the character of separation in the polycrystals is clearly visible from I–V curves. The results obtained support the theoretical model of HTSC separation proposed in [1].     

The effect of nature of polyions and treatment after deposition on wetting characteristics of polyelectrolyte multilayers

The sequential adsorption of oppositely charged polyelectrolytes (PE) occurs to be a powerful tool for obtaining various materials of precisely defined properties. The interfacial features of PE multilayer films are governed by the choice of polycation/polyanion pairs and the conditions of film formation. Additionally, the long time exposure to the conditions different than that encountered during formation usually affects polyelectrolyte multilayer structure.The wettability of heterogeneous surfaces produced by ‘layer-by-layer’ (LbL) adsorption of polyelectrolytes was investigated in this work. We focused on the influence of film treatment after deposition on wetting properties of obtained multilayers. The effect of the nature of the first layer was also studied. Apart from simple arrangements: (polyallylamine hydrochloride)/(polysodium 4-styrenesulfonate) (PAH/PSS) and (poly-l-lysine hydrobromide)/(poly-l-glutamic acid sodium salt) (PLL/PGA) more complicated structures were considered having as a first layer two types of polyethylene imines (PEI) of different molecular weight.Wetting properties of such polyelectrolyte films were determined experimentally by contact angle measurements using technique of direct image analysis of the shape of sessile drop.