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Gica, The Proof of a Conjecture of Additive Number Theory, Journal of.. Gica, Another proof of a Conjecture in Additive Number
In this section we extend the mapping π to arbitrary points, using that every point is the intersection of two hyperbolic lines (compare the approach in the proof of [HO,
We prove that the Hausdorff dimension of the set of badly approximable systems of m linear forms in n variables over the field of Laurent series with coefficients from a finite field
In section 5, we study the integrability of the Green function of the walk which ensures the existence of the original (non killed) Kalikow’s auxiliary walk and finish the proof of
The proof of Theorem 3 is based on Burkholder’s technique, which reduces the problem of proving a martingale inequality to finding a certain spe- cial function.. The description of
Instead of continuity we will give another property which ensures the invariance of the absorbing set and the existence of a weak attractor in phase space (for a deterministic
Let us emphasize that, in general, it is not even proven that the rate of exponential decay of the (averaged or not) two-point correlation function tends to zero when the critical
From the earlier studies of random walks on fractals it is known that the walk is ruled by two parameters, by the fractal dimension and an exponent describing the conductivity of
