The Abel Symposium 2005 was once equipped as a tribute to the paintings of Kiyosi Ito at the social gathering of his ninetieth birthday. wonderful researchers from everywhere awarded the most recent advancements in the interesting and quickly transforming into box of stochastic research. This quantity combines either papers from the invited audio system and contributions by means of the proposing academics. moreover, it contains the Memoirs that Kiyoshi Ito wrote for this occasion.

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