We aim at finding the reversal of radial SLE and proving the reversibility of wholeplane SLE. For this purpose, we define annulus SLE(κ,Λ) processes in doubly connected domains with one marked boundary point. We derive some partial differential equation for Λ, which is sufficient for the annulus SLE(κ,Λ) process to satisfy commutation relation. If Λ satisfies this PDE, then using a coupling tec...

Given a positive integer p, we develop a method to construct difference equations of order greater than or equal to 2 such that all solutions of which are periodic of the same period p. The method of construction is based on a class of symmetric functions that we call “isovertible” functions. © 2005 Elsevier Ltd. All rights reserved. MSC: 39A10

Recent studies have shown that embedding textual relations using deep neural networks greatly helps relation extraction. However, many existing studies rely on supervised learning; their performance is dramatically limited by the availability of training data. In this work, we generalize textual relation embedding to the distant supervision setting, where much largerscale but noisy training dat...

In this paper, we investigate relation between weak subdifferential and augmented normal cone. We define augmented normal cone via weak subdifferential and vice versa. The necessary conditions for the global maximum are also stated. We produce preliminary properties of augmented normal cones and discuss them via the distance function. Then we obtain the augmented normal cone for the indicator f...

Consider a chaotic difference equation xn+1 = f (xn). We focus on the problem of control of chaos using a prediction-based control (PBC)method. If f has a unique positive equilibrium, it is proved that global stabilization of this equilibrium can be achieved under mild assumptions on the map f ; if f has several positive equilibria, we demonstrate that more than one equilibrium can be stabilize...

We define for discrete finitely presented groups a new property related to their asymptotic representations. Namely we say that a groups has the property AGA if every almost representation generates an asymptotic representation. We give examples of groups with and without this property. For our example of a group Γ without AGA the group K(BΓ) cannot be covered by asymptotic representations of Γ...

We propose temporal extent, a concept that can be used to produce summary or abstracted information about the values of temporal attributes in a database relation or class of objects. In its simplest form, the temporal extent is a one-dimensional interval representing the minimum and maximum time points of the instances in a class. More generally, a set of temporal intervals are used to capture...

Using a realistic model for line emission from the broad emission line regions of quasars, we are able to reproduce the previously observed correlations of emission-line ratios with the shape of the spectral energy distribution (SED). In agreement with previous studies, we find that the primary driving force behind the Baldwin Effect (Wλ ∝ L , β < 0) is a global change in the SED with quasar lu...