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Heterogeneous-k-core versus Bootstrap Percolation on Complex Networks
Heterogeneous-k-core Bootstrap Percolation Complex Networks
2011/3/3
We introduce the heterogeneous-k-core, which generalizes the k-core, and contrast it with bootstrap percolation.
Optimal adaptive control of cascading power grid failures
Optimal adaptive control power grid failures
2011/2/22
Power grids have long been a source of interesting optimization problems. Perhaps best known
among the optimization community are the unit commitment problems and related generator dispatching tasks,...
For a fixed infinite structure with finite signature , we study the following computational problem: Input are quantifier-free first-order -formulas 0, 1, . . . , n that define relat...
Quandle homology and complex volume
quandle quandle homology extended Bloch group hyperbolic volume
2011/1/21
We introduce a new homology theory of quandles, called simplicial quandle homology, which is quite different from quandle homology developed by Carter et al. We construct a homomorphism from a quandle...
In this note, we use a result of Osserman and Schiffer [11] to give a variational characterization of the catenoid. Namely, we show that subsets of the catenoid minimize area within a geometrically na...
We define the block neighborhood of a reversible CA, which is related both to its decomposition into a product of block permutations and to quantum computing. We give a purely combinatorial characteri...
A Closed Formula for the Barrier Transmission Coefficient in Quaternionic Quantum mechanics
Closed Formula Barrier Transmission Coefficient Quaternionic Quantum mechanics
2011/2/24
A Closed Formula for the Barrier Transmission Coefficient in Quaternionic Quantum mechanics.
Characterization of the Lovelock-Palatini Lagrangians with an arbitrary connection
Characterization Lovelock-Palatini Lagrangians arbitrary connection
2011/3/2
We define the concept of Levi Civita truncation for a Lagrangian in the Palatini formulation with an arbitrary connection, and show that its consistency uniquely identifies the Lovelock Lagrangians.
Vertices of high degree in the preferential attachment tree
random graphs web graphs concentration of measure martingales
2011/2/28
We study the basic preferential attachment process, which generates a sequence of random trees, each obtained from the previous one by introducing a new vertex and joining it to one existing vertex,ch...
This paper is devoted to the study of couplings of the Lebesgue measure and the Poisson
point process. We prove existence and uniqueness of an optimal (i.e. 'asymptotically
optimal' and 'translation...
On some relations for Mellin transforms of Hardy's function
Hardy’s function Riemann zeta-function Mellin transforms
2011/2/22
Some relations involving the Mellin and Laplace transforms of powers of the classical Hardy function Z(t) := ( 1 2 + it) ( 1 2 + it)−1/2 , (s) = (s)(1 − s)are obtained. In p...
Pseudocyclic and non-amorphic fusion schemes of the cyclotomic association schemes
Amorphic association scheme cyclotomy Gauss sum
2011/1/20
We construct twelve infinite families of pseudocyclic and non-amorphic association schemes, in which each nontrivial relation is a strongly regular graph. Three of the twelve families generalize the c...
Exponential instability in the inverse scattering problem on the energy interval
Exponential instability inverse energy interval
2011/2/28
We consider the inverse scattering problem on the energy interval in three dimensions.We are focused on stability and instability questions for this problem. In particular,we prove an exponential inst...
On Two-way Communications for Cooperative Multiple Source Pairs Through a Multi-antenna Relay
Two-way Communications Cooperative Multiple Source Pairs Multi-antenna Relay
2011/1/20
We study amplified-and-forward (AF)-based twoway relaying (TWR) with multiple source pairs, which are exchanging information through the relay.
The equivalence relationship between Li-Yorke $\delta$-chaos and distributional $\delta$-chaos in a sequence
Li-Yorke chaos distributional chaos in a sequence transitive system
2011/2/28
In this paper, we discuss the relationship between Li-Yorke chaos and distributional chaos in a sequence.