Pattern theorem for the hexagonal lattice

... Kesten’s Pattern Theorem for the hexagonal lattice Theorem 3.0.1 Let H be a hexagonal ball in the hexagonal lattice and µ be the connective constant for the hexagonal lattice H (a) γ be a pattern ... This theorem has been proved for cubic lattices by Kesten Our aim is to show that, this theorem still holds when the lattice is a hexagonal lattice...

Ngày tải lên: 28/11/2015, 13:33

... Annals of Mathematics, 167 (2008), 701–766 A shape theorem for the spread of an infection By Harry Kesten and Vladas Sidoravicius Abstract In [KSb] we studied the following model for the spread ... movement of all the other particles In the present case we can take πB = A , which has the great advantage that the path of ρ does not depend on the paths...

Ngày tải lên: 16/02/2014, 06:20

... uniformly continuous In this article, we assume the continuity of T instead of uniform continuity Chidume et al [20] gave the weak convergence theorem for uniformly continuous nonself mapping ... process for continuous nonself mappings which are asymptotically nonexpansive in the intermediate sense in this article Since the asymptotically nonexpansive in t...

Ngày tải lên: 20/06/2014, 21:20

... uniformly continuous In this article, we assume the continuity of T instead of uniform continuity Chidume et al [20] gave the weak convergence theorem for uniformly continuous nonself mapping ... process for continuous nonself mappings which are asymptotically nonexpansive in the intermediate sense in this article Since the asymptotically nonexpansive in t...

Ngày tải lên: 21/06/2014, 17:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

... 3-colorable Moreover, it is easy to use the 5-coloring of G from the proof of Lemma 2.3 (by possibly permuting the colors) so that the corresponding strong 3-coloring of H(G) is an extension of ... 2-colorable This theorem relies on the 4-Color Theorem So, it would be an interesting problem to find a direct proof of Theorem 2.5 Kratochv´ (private communication) proved...

Ngày tải lên: 07/08/2014, 06:20

... convergence rate in the central limit theorem for the total magnetization in the Curie- Weiss- Potts model for high temperature Theorem 4.0.1 For the Curie- Weiss- Potts model, let Sn be the sum of the spin ... will introduce the Curie- Weiss- Potts model, including the Ising model and the Curie- Weiss model Then we will give some...

Ngày tải lên: 03/10/2015, 21:57

... section we will prove some results on the extending of Matheron theorem for topological space In Section we will show some examples about the spaces F which are unseparated or non-Hausdorff for the ... non-Hausdorff for the miss-and-hit topology On the Matheron theorem Theorem 2.1 If E is a separable and Hausdorff topological space, then the miss-and-hit topo...

Ngày tải lên: 22/03/2014, 11:20

... of the map follows from the local converse theorem for SO2n+1 (Theorem 1.2) The uniqueness of such a map follows from the local converse theorem for GLn (Theorem 1.1) It remains to show that the ... representations of SO(2n+1) The idea of the proof is to transfer the local converse theorem for GL2n (k) to SO2n+1 (k) by combining various liftings Th...

Ngày tải lên: 22/03/2014, 15:21

... A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law Qunying Wu1,2 College of Science, Guilin University ... establish the ASCLT for self-normalized partial sums of random variables in the domain of attraction of the normal law,...

Ngày tải lên: 20/06/2014, 21:20

... Rus introduced the concept of theory of a metric fixed ¸ point theorem and used this theory for the case of multivalued contraction see For the singlevalued case, see The purpose of this paper ... Proceedings of the 9th International Conference on Fixed Point Theory and Its Applications, Yokohama Publishing, to appear Fixed Point Theory and Applicati...

Ngày tải lên: 21/06/2014, 11:20

... and Theorem 4.2, we get the results Upper Semicontinuity of Attractors In this section, we present the approximation to the uniform attractor AHw k0 ×Hw g0 obtained in Theory A by the uniform attractor ... δ0 L2 R,l2 b η0 γ0 3.14 ≤ 2X } The proof is completed Uniform Attractor In this section, we establish the existence of uniform attractor for the non-autonomo...

Ngày tải lên: 21/06/2014, 20:20

... concentrate on the infranilmanifolds with an odd-order Abelian holonomy group F and show that the Anosov theorem can be generalized to this class of manifolds Let T : F → Aut(G) denote the holonomy representation ... and thereafter we will follow the second approach and work with infranilmanifolds with odd-order Abelian holonomy group The main result of this pape...

Ngày tải lên: 22/06/2014, 22:20

... satisfies the hypotheses of the Lefschetz- Hopf theorem Thus, the homotopy and additivity properties of the fixed-point index imply that the normalization property follows from the Lefschetz- Hopf theorem ... the characterization of the reduced Lefschetz number in Theorem 1.1 to prove the Lefschetz- Hopf theorem in a quite natural manner by showing that t...

Ngày tải lên: 23/06/2014, 00:20