Random Overlapping Intervals--A Generalization of Erlang's Loss Formula
نویسندگان
چکیده
منابع مشابه
a generalization of strong causality
در این رساله t_n - علیت قوی تعریف می شود. این رده ها در جدول علیت فضا- زمان بین علیت پایدار و علیت قوی قرار دارند. یک قضیه برای رده بندی آنها ثابت می شود و t_n- علیت قوی با رده های علی کارتر مقایسه می شود. همچنین ثابت می شود که علیت فشرده پایدار از t_n - علیت قوی نتیجه می شود. بعلاوه به بررسی رابطه نظریه دامنه ها با نسبیت عام می پردازیم و ثابت می کنیم که نوع خاصی از فضا- زمان های علی پایدار, ب...
Generalization of Garsia’s Expansion Formula for Top to Random Shuffles
In the top to random shuffle, the first a cards are removed from a deck of n cards 12 . . . n and then inserted back into the deck. This action can be studied by treating the top to random shuffle as an element Ba of the algebra Q(Sn). For a = 1, Adriano Garsia in “On the Powers of Top to Random Shuffling” (2002) derived an expansion formula for B 1 for k ≤ n, though his proof for the formula w...
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Notice that Bk a is a sum of terms σ1σ2 . . . σk where σi ∈ Sn is a term of the ith copy of Ba. Each σi will be called an a-shuffle, because it shuffles the first a cards back into the deck. We can thus denote σi = (b(i−1)a+1, b(i−1)a+2, . . . , bia) where b(i−1)a+m = σi(m) (i.e. σi acted on the mth card of the deck). Thus, the sequence (σ1, . . . , σk) gives rise to the ka-tuple (b1, b2, . . ....
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1976
ISSN: 0091-1798
DOI: 10.1214/aop/1176995938