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662,647
Rare events, escape rates and quasistationarity: some exact formulae
 Journal Statistical Physics
"... Abstract. We present a common framework to study decay and exchanges rates in a wide class of dynamical systems. Several applications, ranging form the metric theory of continuons fractions and the Shannon capacity of contrained systems to the decay rate of metastable states, are given. 1. ..."
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Cited by 42 (2 self)
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Abstract. We present a common framework to study decay and exchanges rates in a wide class of dynamical systems. Several applications, ranging form the metric theory of continuons fractions and the Shannon capacity of contrained systems to the decay rate of metastable states, are given. 1.
Exact formulas and limits for a class of random optimization problems
 LINKÖPING STUDIES IN MATHEMATICS
, 2005
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Game Theoretic Network Centrality: Exact Formulas and Efficient Algorithms (Extended Abstract)
"... The concept of centrality plays an important role in network analysis. Game theoretic centrality measures have been recently proposed, which are based on computing the Shapley Value (SV) of each node (agent) in a suitably constructed cooperative network game (for example see [1]). However, the naiv ..."
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, the naive method of exact computation of SVs takes exponential time in the number of nodes. In this paper, we develop analytical formulas for computing SVs of nodes for various kinds of centralityrelated cooperative games played on both weighted and unweighted networks. These formulas not only provide
An exact formula relating lattice points in symmetric spaces to the automorphic spectrum
 Illinois J. Math
"... ar ..."
Exact formulae for the Lovász Theta Function of sparse Circulant Graphs
, 2002
"... The Lovasz theta function has attracted a lot of attention for its connection with diverse issues, such as communicating without errors and computing large cliques in graphs. Indeed this function enjoys the remarkable property of being computable in polynomial time, despite being sandwitched between ..."
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Cited by 4 (0 self)
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between clique and chromatic number, two well known hard to compute quantities. In this paper I provide a closed formula for the Lovasz function of a speci c class of sparse circulant graphs thus generalizing Lovasz results on cycle graphs (circulant graphs of degree 2).
An Exact Formula for the Expected Wire Length Between Two Randomly Chosen Terminals
, 1994
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Partial transpose of random quantum states: Exact formulas and meanders
 J. Math. Phys
, 2013
"... ABSTRACT. We investigate the asymptotic behavior of the empirical eigenvalues distribution of the partial transpose of a random quantum state. The limiting distribution was previously investigated via Wishart random matrices indirectly (by approximating the matrix of trace 1 by the Wishart matrix of ..."
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Cited by 2 (1 self)
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of random trace) and shown to be the semicircular distribution or the free difference of two free Poisson distributions, depending on how dimensions of the concerned spaces grow. Our use of Wishart matrices gives exact combinatorial formulas for the moments of the partial transpose of the random state. We
Some Exact Formulas on LongRange Correlation Functions of the Rectangular Ising Lattice
, 2004
"... We study longrange correlation functions of the rectangular Ising lattice with cyclic boundary conditions. Specifically, we consider the situation in which two spins are on the same column, and at least one spin is on or near free boundaries. The lowtemperature series expansions of the correlation ..."
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of the correlation functions are presented when the spinspin couplings are the same in both directions. The exact correlation functions can be obtained by D log Padé for the cases with simple algebraic resultant expressions. The present results show that as the two spins are infinitely far from each other
From Current Subjective Practice to Exact Formulas (Based on Computational Intelligence Ideas)
, 2015
"... Abstract—When a student performed only some of the steps needed to solve a problem, this student gets partial credit. This partial credit is usually proportional to the number of stages that the student performed. This may sound reasonable, but in engineering education, this leads to undesired conse ..."
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Abstract—When a student performed only some of the steps needed to solve a problem, this student gets partial credit. This partial credit is usually proportional to the number of stages that the student performed. This may sound reasonable, but in engineering education, this leads to undesired consequences: for example, a student who did not solve any of the 10 problems on the test, but who successfully performed 9 out of 10 stages needed to solve each problem will still get the grade of A (“excellent”). This may be a good evaluation of the student’s intellectual ability, but for a engineering company that hires this Alevel student, this will be an unexpected disaster. In this paper, we analyze this problem from the viewpoint of potential loss to a company, and
Results 11  20
of
662,647