Publications related to Exact Solution of the Gauge Symmetric p-Spin Glass Model on a Complete Graph

Phase diagram with an enhanced spin-glass region of the mixed Ising–XY magnet LiHoxEr1-xF4

Henrik Moodysson Rønnow, Ivica Zivkovic, Bastien Dalla Piazza, Julian Piatek, Neda Nikseresht Ghanepour, Nikolay Tsyrulin

We present the experimental phase diagram of LiHoxEr1-xF4, a dilution series of dipolar-coupled model magnets. The phase diagram was determined using a combination of ac susceptibility and neutron scattering. Three unique phases in addition to the Ising fe ...

Amer Physical Soc2013

Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices

Frédéric Mila, Karlo Penc

We present a numerical study of the SU(N) Heisenberg model with the fundamental representation at each site for the kagome lattice (for N = 3) and the checkerboard lattice (for N = 4), which are the line graphs of the honeycomb and square lattices and thus ...

2012

Graph-Constrained Group Testing

Amin Karbasi, Mahdi Cheraghchi Bashi Astaneh, Soheil Mohajerzefreh

Non-adaptive group testing involves grouping arbitrary subsets of

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items into different pools. Each pool is then tested and defective items are identified. A fundamental question involves minimizing the number of pools required to identify at most

d

d ...

2012

A complete graph effective medium approximation for lattice and continuum percolation

Claudio Grimaldi

In this paper we introduce an effective medium theory that is capable of describing site percolation in both lattice and continuum three-dimensional systems. By exploiting self-consistency with a complete graph or network of identical conductors, the resul ...

2011

Free energy methods in coupled electron ion Monte Carlo

Elisa Liberatore

Recent progress in simulation methodologies and in computer power allow first-principles simulations of condensed systems with Born–Oppenheimer electronic energies obtained by quantum Monte Carlo methods. Computing free energies and therefore getting a qua ...

Taylor & Francis2011

Liquid-solid transition in fully ionized hydrogen at ultra-high pressures

Elisa Liberatore

We study the phase diagram of an effective ion model of fully ionized hydrogen at ultra-high pressure. We assume that the protons interact with a screened Coulomb potential derived from a static linear response theory. This model accurately reproduces the ...

American Institute of Physics2011

Weighted Gossip: Distributed Averaging Using Non-Doubly Stochastic Matrices

Martin Vetterli, Patrick Thiran, Florence Bénézit

This paper presents a general class of gossip-based averaging algorithms, which are inspired from Uniform Gossip [1]. While Uniform Gossip works synchronously on complete graphs, weighted gossip algorithms allow asynchronous rounds and converge on any conn ...

IEEE2010

Graph-Constrained Group Testing

Amin Karbasi, Mahdi Cheraghchi Bashi Astaneh, Soheil Mohajerzefreh

Non-adaptive group testing involves grouping arbitrary subsets of

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items into different pools and identifying defective items based on tests obtained for each pool. Motivated by applications in network tomography, sensor networks and infection propagati ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

A bipartite strengthening of the Crossing Lemma

János Pach

Let G = (V, E) be a graph with n vertices and m >= 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Omega(m(3)/n(2)) pairs of crossing edges; or equivalently, there is an edge that crosses Omega(m(2)/n(2)) other edges. ...

2010

Degree-constrained edge partitioning in graphs arising from discrete tomography

Dominique de Werra, Bernard Ries

Starting from the basic problem of reconstructing a 2-dimensional image given by its projections on two axes, one associates a model of edge coloring in a complete bipartite graph. The complexity of the case with k=3 colors is open. Variations and special ...

2009

Exact Solution of the Gauge Symmetric p-Spin Glass Model on a Complete Graph

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Phase diagram with an enhanced spin-glass region of the mixed Ising–XY magnet LiHoxEr1-xF4

Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices

Graph-Constrained Group Testing

A complete graph effective medium approximation for lattice and continuum percolation

Free energy methods in coupled electron ion Monte Carlo

Liquid-solid transition in fully ionized hydrogen at ultra-high pressures

Weighted Gossip: Distributed Averaging Using Non-Doubly Stochastic Matrices

Graph-Constrained Group Testing

A bipartite strengthening of the Crossing Lemma

Degree-constrained edge partitioning in graphs arising from discrete tomography

Free energy methods in coupled electron ion Monte Carlo

Liquid-solid transition in fully ionized hydrogen at ultra-high pressures

Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices

Degree-constrained edge partitioning in graphs arising from discrete tomography

A complete graph effective medium approximation for lattice and continuum percolation

A bipartite strengthening of the Crossing Lemma

Phase diagram with an enhanced spin-glass region of the mixed Ising–XY magnet LiHoxEr1-xF4

Weighted Gossip: Distributed Averaging Using Non-Doubly Stochastic Matrices

Graph-Constrained Group Testing

Graph-Constrained Group Testing