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We note that each of the graphs with structures described above can be obtained from certain simple corona graphs by deleting two specific pendant vertices with distance 3..
and Shi, Z.: An iterated logarithm law for Cauchy’s principal value of Brownian local times. In: Exponential Functionals and Principal Values Related to Brownian
The fluid limits and large deviations asymptotics presented here show new phenomenon that we believe are shared by many processes similar to the Yule process, including random
A remarkable and well known result is that the harmonic measure of a transient nearest neighbor random walk on a finitely generated free group is Markovian [6, 19, 25].. This can
and Sharma, M., Proofs of the Parisi and Coppersmith-Sorkin ran- dom assignment conjectures, Random Structures and Algorithms 27 No. G., On the expected optimal value of
In this paper we prove a strong approximation result for a mixing sequence of identically distributed random variables with infinite variance, whose distribution is symmetric and
Noise sensitivity and stability are introduced and studied in [3] for functions on cubes.. Different cube structures on a binary tree are non-equivalent in
Using a certain renewal structure, Sznitman and Zerner (see [2] and [3, Theorem 3.2.2]) proved the following law of large numbers..