Đề tài " Ergodic properties of rational mappings with large topological degree " pot

... Ergodic Theory, W. A. Benjamin Press, New York (1969). Annals of Mathematics Ergodic properties of rational mappings with large topological degree By Vincent Guedj RATIONAL MAPPINGS ... 2003) Annals of Mathematics, 161 (2005), 1589–1607 Ergodic properties of rational mappings with large topological degree By Vincent Guedj Abstract Let...

Ngày tải lên: 06/03/2014, 08:21

... 0 Annals of Mathematics Extension properties of meromorphic mappings with values in non-K¨ahler complex manifolds By S. Ivashkovich EXTENSION PROPERTIES OF MEROMORPHIC MAPPINGS 813 by ... cycle geometry of X. EXTENSION PROPERTIES OF MEROMORPHIC MAPPINGS 809 Thus, all connected components of φ −1 (z) should be compact. Let K denote the union of connect...

Ngày tải lên: 22/03/2014, 16:20

... concentrate on the analysis of the regularity of Ξ i for the spe- cial class of simple maps f: one of the good properties of the class of simple maps is better control of the phase-parameter relation. ... work of Lyubich [L3], where a general method based on the theory of holomorphic motions was introduced to deal with this kind of problem. A sketch of the derivation...

Ngày tải lên: 16/02/2014, 05:20

... with driv- ing parameter a one-dimensional Brownian motion running with speed κ. This process is intimately connected with scaling limits of percolation clusters and with the outer boundary of ... implies that ∂K t has positive measure with positive probability for large t. However, this contradicts Corollary 5.3, completing the proof of the lemma. Proof of Theorem 7.1. Fi...

Ngày tải lên: 16/02/2014, 05:20

... by observing that the image of ϕ is just the intersection of the image of ψ with the fiber of L (1) (G)ate, which is Gl(g). The next result turns out to be fundamental in our proof of Theorem A. Proposition ... map. We end this section with detailed proofs of Theorems 1.3, 1.4 and 1.5. Proof of Theorem 1.3. We present the arguments for compact M, but the proof is similar for...

Ngày tải lên: 22/03/2014, 20:20

... factor M⊆B(H)oftypeII 1 with property Γ are zero for all positive integers k. The method of proof involves the construction of hyperfinite subfactors with special properties and a new inequality of Grothendieck ... ≤ k. Proof. We will construct R as the ultraweak closure of an ascending union of matrix subfactors A n which we define inductively. We first fix a sequence {θ i } ∞ i=...

Ngày tải lên: 14/02/2014, 17:20

... Bhargava, The density of discriminants of quartic rings and fields, Ann. of Math. 162 (2005), 1031–1063. [3] ——— , The density of of discriminants of quintic rings and fields, Ann. of Math.,to appear. [4] H. ... divisor of |G|. This conjecture is true for all abelian groups G by a theorem of Wright [21], and is proved for all nilpotent groups in a paper of Kl¨uners and Malle [...

Ngày tải lên: 06/03/2014, 08:21

... are stated with c = 0, but the proofs of the lower bounds require c to be positive. The construction of n with τ(n, y, z) = r on p. 177 of [43] requires z 1 r+3 +r+1 ≤ x, but the proof can be modified ... n, Ω(n) is the number of prime power divisors of n, π(x) is the number of primes ≤ x, τ(n) is the number of divisors of n. P(s, t) is the set of positive integers compos...

Ngày tải lên: 06/03/2014, 08:21

... distortion properties of f ∈ K and the geometry of the invariant set of f, we show that the exponential growth rate of the C 0 norm of L (m) f,γ is bounded by some µ<λif γ =2− α with α>0 ... well-defined. Furthermore, k T (g) ◦ S g = T ◦ k g .(3.4.1) Proof. The proof is similar to the proof of Lemma 3.2 (ii). 3.5. Hyperbolicity of the renormalization operator. The purpo...

Ngày tải lên: 22/03/2014, 20:20

... B  0 = ˆ SA 0 commutes with A 0 . The operator D commutes with each of the operators {F (1) , ,F (s) }; therefore the matrices of the F ’s are symmetric quaternionic block matrices with entries of the form ... equivalence) exactly two Annals of Mathematics A cornucopia of isospectral pairs of metrics on spheres with different local geometries By Z. I. Szab´...

Ngày tải lên: 29/03/2014, 07:20