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The Streaming Complexity of Cycle Counting, Sorting By Reversals, and Other Problems
Streaming Complexity Cycle Counting,
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2012/12/3
In this paper we introduce a new technique for proving streaming lower bounds (and one-way communication lower bounds), by reductions from a problem called the Boolean Hidden Hypermatching problem (BH...
Refined matrix models from BPS counting
Refined matrix models BPS counting
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2011/3/2
We construct a free fermion and matrix model representation of refined BPS generating functions of D2 and D0 branes bound to a single D6 brane, in a class of toric manifolds
without compact four-cycl...
Counting packings of generic subsets in finite groups
Counting generic subsets finite groups
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2010/11/9
A packing of subsets $\mathcal S_1,..., \mathcal S_n$ in a group $G$ is a sequence $(g_1,...,g_n)$ such that $g_1\mathcal S_1,...,g_n\mathcal S_n$ are disjoint subsets of $G$. We give a formula for t...
Riemann hypothesis and some new asymptotically multiplicative integrals which contain the remainder of the prime-counting function $\pi(x)$
Riemann hypothesis asymptotically multiplicative integrals
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2010/11/9
A new parametric integral is obtained as a consequence of the Riemann hypothesis. An asymptotic multiplicability is the main property of this integral