The Operators Aγ = γA + -γA for a Class of Nondissipative Operators A with a Limit of the Corresponding Correlation Function

2000 Mathematics Subject Classification: Primary 47A48, Secondary 60G12

Direct and Converse Theorems for Generalized Bernstein-Type Operators

2000 Mathematics Subject Classification: 41A25, 41A27, 41A36.

Weak Compatibility and Common Fixed Point Theorems for A-Contractive and E-expansive Maps in Uniform Spaces

2000 Mathematics Subject Classification: 47H10, 54E15.

Nonlinear signal transformations:path to capacity above the linear AWGN Shannon limit

We present a methodology for simultaneous optimization of modulation format and regenerative transformations in nonlinear communication channels. We derived analytically the maximum regenerative Shannon capacity, towards which any regenerative channel tends at high SNR and large number of regenerators.

A Limit Theorem for Multi-Type Subcritical Age-Dependent Branching Processes with two Types of Immigration

Марусия Н. Славчова-Божкова - В настоящата работа се обобщава една гранична теорема за докритичен многомерен разклоняващ се процес, зависещ от възрастта на частиците с два типа имиграция. Целта е да се обобщи аналогичен резултат в едномерния случай като се прилагат “coupling” метода, теория на възстановяването и регенериращи процеси.

The potential for networks with capacities exceeding the nonlinear-Shannon limit

We examine the network benefits of various forms of nonlinearity compensation, showing that total network capacities that are more than double the capacity of a network with reaches determined by the Nonlinear-Shannon limit © 2015 OSA.

Existence Theorems for Non-Cooperative Elliptic Systems

2010 Mathematics Subject Classification: 35J65, 35K60, 35B05, 35R05.

Complex Oscillations and Limit Cycles in Autonomous Two-Component Incommensurate Fractional Dynamical Systems

MSC 2010: 26A33, 34D05, 37C25

Some Fixed Point Theorems for Kannan Mappings

2000 Mathematics Subject Classification: Primary: 47H10; Secondary: 54H25.

Nonlinear limit of alternative method to 2 × 2 MIMO for LTE RoF system

Owing to the limited cell size of eNodeB (eNB), the relay node has emerged as an attractive solution for the long-term evolution (LTE) system. The nonlinear limit of the alternative method to multipleinput and multiple-output (MIMO) based on frequency division multiplexing (FDM) for orthogonal FDM (OFDM) is analysed over varying transmission spans. In this reported work, it is shown that the degradation pattern over the linear, intermixing and nonlinear propagation regions is consistent for the 2 and the 2.6 GHz bands. The proposed bands experienced a linear increase in the error vector magnitude (EVM) for both the linear and the nonlinear regions proportional to the increasing transmission spans. In addition, an optical launch power between -2 and 2 dBm achieved a significantly lower EVM than the LTE limit of 8% for the 10-60 km spans. © The Institution of Engineering and Technology 2014.

The impact of phase conjugation on the nonlinear-Shannon limit:the difference between optical and electrical phase conjugation

We show that optical and electrical phase conjugation enable effective nonlinear compensation, The impact of polarization mode dispersion and finite processing bandwidth on the ultimate limits are also considered.

Stokes waves revisited:exact solutions in the asymptotic limit

The Stokes perturbative solution of the nonlinear (boundary value dependent) surface gravity wave problem is known to provide results of reasonable accuracy to engineers in estimating the phase speed and amplitudes of such nonlinear waves. The weakling in this structure though is the presence of aperiodic “secular variation” in the solution that does not agree with the known periodic propagation of surface waves. This has historically necessitated increasingly higher-ordered (perturbative) approximations in the representation of the velocity profile. The present article ameliorates this long-standing theoretical insufficiency by invoking a compact exact n-ordered solution in the asymptotic infinite depth limit, primarily based on a representation structured around the third-ordered perturbative solution, that leads to a seamless extension to higher-order (e.g., fifth-order) forms existing in the literature. The result from this study is expected to improve phenomenological engineering estimates, now that any desired higher-ordered expansion may be compacted within the same representation, but without any aperiodicity in the spectral pattern of the wave guides.

Algebraic duality theorems for infinite LP problems

In this paper we consider a primal-dual infinite linear programming problem-pair, i.e. LPs on infinite dimensional spaces with infinitely many constraints. We present two duality theorems for the problem-pair: a weak and a strong duality theorem. We do not assume any topology on the vector spaces, therefore our results are algebraic duality theorems. As an application, we consider transferable utility cooperative games with arbitrarily many players.

The existence of an inverse limit of inverse system of measure spaces - a purely measurable case

The existence of an inverse limit of an inverse system of (probability) measure spaces has been investigated since the very beginning of the birth of the modern probability theory. Results from Kolmogorov [10], Bochner [2], Choksi [5], Metivier [14], Bourbaki [3] among others have paved the way of the deep understanding of the problem under consideration. All the above results, however, call for some topological concepts, or at least ones which are closely related topological ones. In this paper we investigate purely measurable inverse systems of (probability) measure spaces, and give a sucient condition for the existence of a unique inverse limit. An example for the considered purely measurable inverse systems of (probability) measure spaces is also given.

Az ajánlati könyv statisztikai tulajdonságai (Statistical properties of the limit order book)

A pénzügyi modellek jelentős része feltételezi a piacok hatékony működését. Ennek következtében számos tudományos kutatás központi témája volt a piacok hatékonyságának tesztelése és ennek igazolása, esetleg cáfolata. Ezen próbálkozások azonban mind a mai napig eredménytelenül zárultak. A tesztelések nyomán a kutatások a termékek áralakulásából indultak ki, és a hozamokat ezen keresztül elemezték. Az elmúlt években azonban a fókusz átterelődött az árak alakulásáról egy elemibb tényezőre, az ajánlati könyvre. Ugyanis végső soron az ajánlatvezérelt piacokon az árakat az ajánlati könyvbe benyújtott megbízások alakulása fogja meghatározni. Mivel a tőzsdék jelentős része ajánlatvezérelt piacként működik, ezért érdemesnek tartották a kutatók, hogy inkább az ajánlati könyv alakulásának statisztikai jellemzőit elemezzék, hátha az eredményre vezet, és sikerül közelebb jutni a hatékony piacok elméletének igazolásához vagy cáfolatához. Jelen tanulmány célja az, hogy az eddig megjelent tudományos kutatások alapján ismertesse az ajánlati könyv alapvető statisztikai tulajdonságait, és rávilágítson arra: mindez valójában hozzájárult-e a hatékony piacok elméletének igazolásához? ______ Most of the fi nancial models assume that markets are effi cient. As a result, numerous scientifi c researchers were focused on testing the effi cient market hypothesis, and tried to prove, or deny it. However, all these attempts are still unsuccessful. During these researches, the analyses of the effi cient market hypothesis were based on the price evolution of a certain asset, and through this the returns were examined. In the recent years the research interest has changed, and instead of analyzing the returns, a more primary factor got into focus, namely the limit order book. The reason is that on order driven markets the prices and the order sizes in the limit order book infl uence the price evolution on the market. Since a notable number of stock markets operate as an order driven market, the researchers thought that it worth analyzing the statistical properties of the limit order book, because maybe it will get us closer to the proof of the effi cient market hypothesis. The purpose of this study is to summarize the statistical properties of the limit order book, based on the scientifi c works published so far. The study would like to highlight whether these studies contributed to the proof or disproof of the effi cient market hypothesis.