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Proof of Lemma 4.2 We shall use T to denote the once-punctured torus obtained by removing the cone point of T (n).. In order to construct covers of T , we require the techniques

In addition to extending our existence proof there to the case of nonzero continuous drift (Theorem 1.6) and examining the effects of the order parameters 1 , 2 on e heat 1 , 2

In this paper, based on the concept of rough variable proposed by Liu 14, we discuss a simplest game, namely, the game in which the number of players is two and rough payoffs which

Section 3 is first devoted to the study of a-priori bounds for positive solutions to problem (D) and then to prove our main theorem by using Leray Schauder degree arguments.. To show

II Midisuperspace models in loop quantum gravity 29 5 Hybrid quantization of the polarized Gowdy T 3 model 31 5.1 Classical description of the Gowdy T 3

The aim of this paper is not only to give solution spaces in an abstract form but also to give algorithms to construct all the solutions for given differential equations of the form

The set of valid moves gives rise to an asynchronous discrete dynamical system, called the lit-only σ-game on G, and the dynamical behavior of this system is captured by its phase

Pralat, The first player wins the one-colour triangle avoidance game on 16 vertices, Discussiones Mathematicae Graph Theory, to appear.