getdoce29d. 266KB Jun 04 2011 12:05:06 AM
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We also compare our result with the previous one ([8], Theorem 7.1) about Anosov automorphisms of flat manifolds. We give several examples of Bieberbach groups...
In order to prove the existence theorem of local class field theory, it remains to prove the existence of cyclic, totally ramified class fields of degree p m (m ∈ N ).. We give
In this paper, we give another proof of this theorem making use of a general result (Theorem 3.5) according to which the inverse of an n × n interval matrix can be computed from
One reason for this is that the Bahadur-Rao theorem, used to get the exponential form of the density in the proof of Theorem 1, takes a different form for lattice laws (see e.g.
Within this framework, we are able to control exponential moments of S with the help of formulas which generalize the Hoeffding and Bernstein inequalities for independent
Keywords: supercitical percolation; exponential decay; renormalization; isoperimetric profile; anchored isoperimetry; random walk on percolation clusters; heat kernel decay; mixing
Combining Theorem 7, the tensorization property of Beckner type-inequalities, Corollary 8 and Theorem 12 allows to derive dimension-free isoperimetric inequalities for the products
We now show how the uniform law of large numbers in Theorem 1.1 can be used to prove the hydrodynamic limits for the system of RWRE as stated in Theorem 1.4.. Proof of Theorem 1.4:
