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Stevens, p-adic L-functions and p-adic periods of modular forms , Invent. Hida, Iwasawa modules attached to congruences of cusp forms
Basically, three protocols are included in an electronic cash system: withdrawal protocol involving the customer and the bank, payment protocol involving the customer and
We prove an extension of the shape result of Blach`ere and Brofferio for Internal Diffusion Limited Aggregation on a wide class of Markov chains on non-amenable graphs..
In this section we will apply the Young integral and rough path integral of local time defined in sections 2 and 3 to prove a useful extension to Itˆ o’s formula.. Assume the
Nilpotent groups have a very strong algebraic structure which is inherited by their subgroups, and using this fact the first author showed that an analog of Varoupoulos’s theorem
In this paper, we prove upper and lower bounds on the free energy in the SK model with multidi- mensional spins in terms of variational inequalities involving the
By using Theorem 1, Dunker, Lifshits and Linde [5] obtain similar results when the random variables satisfy the following additional condition:..
The aim of the present paper is to study the asymptotic volume fraction, namely if fixed- sized grains give the highest volume fraction in the case where the weights are independent