The rate of forest destruction has accelerated sharply in Brazilian Amazonia, but there are also vital conservation opportunities with the ongoing designation of important new protected areas. In a timely paper, Carlos Peres argues that an extensive network of mega-reserves, operationally defined as those exceeding 1 million ha in area, is needed to ensure the long-term persistence of Amazonian...

Consider independent fair coin-flips at each site of the lattice Z d. A translation-equivariant matching rule is a perfect matching of heads to tails that commutes with translations of Z d and is given by a deterministic function of the coin-flips. Let Z Φ be the distance from the origin to its partner, under the translation-equivariant matching rule Φ. Holroyd and Peres [9] asked what is the o...

On complete, non-compact manifolds and infinite graphs, FaberKrahn inequalities have been used to estimate the rate of decay of the heat kernel. We develop this technique in the setting of finite Markov chains, proving upper and lower L mixing time bounds via the spectral profile. This approach lets us recover and refine previous conductance-based bounds of mixing time (including the Morris-Per...

Peres/Mermin arguments about no-hidden variables in quantummechanics are used for displaying a pair (R,S) of entangling Clifford quantum gates, acting on two qubits. From them, a natural unitary realization of Coxeter/Weyl groups W (D5) and W (F4) emerges, which is also reflected into the splitting of the n-qubit Clifford group Cn into group dipoles C± n . The union of the three-qubit real Clif...

A hidden-variable model for quantum-mechanical spin, as represented by the Pauli spin operators, is proposed systems illustrating well-known no-hidden-variables arguments Peres and Mermin (1990) Greenberger, Horne, Zeilinger (1989). Both rely on an assumption of non-contextuality; latter argument can also be phrased a non-locality argument, using locality assumption. The suggested here compatib...

It is shown how a proof of the Bell-Kochen-Specker (BKS) theorem given by Kernaghan and Peres can be experimentally realized using a scheme of measurements derived from a related proof of the same theorem by Mermin. It is also pointed out that if this BKS experiment is carried out independently by two distant observers who repeatedly make measurements on a specially correlated state of six qubi...

https://doi.org/10.1016/j.clinph.2017.09.107 1388-2457/Published by Elsevier Ireland Ltd on behalf of International Fe Abbreviations: PARK9, parkinson disease 9 PARK1, parkinson disease 1 HMNDYT1, hypermanganesemia with dystonia, polycythemia, and cirrhos PDG, genetic Parkinson disease CT, controls UPDRS, Unified Parkinson’s Disease Rating Scale Specific saccadic abnormalities follow basal gang...

It is shown how a proof of the Bell-Kochen-Specker (BKS) theorem given by Kernaghan and Peres can be experimentally realized using a scheme of measurements derived from a related proof of the same theorem by Mermin. It is also pointed out that if this BKS experiment is carried out independently by two distant observers who repeatedly make measurements on a specially correlated state of six qubi...