Concept

Lattice field theory

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Lattice theoretic approach to space-time codes from division algebras

Cyril Becker

This master project on algebraic coding theory gathers various techniques from lattice theory, central simple algebras and algebraic number theory. The thesis begins with the formulation of the engineering problem into mathematical form. It presents how sp ...

2012

Review of Particle Physics, Particle Data Group

Olivier Schneider, Pierre Vogel, Greig Alan Cowan, Christophe Bauer

This biennial Review summarizes much of particle physics. Using data from previous editions, plus 2658 new measurements from 644 papers, we list, evaluate, and average measured properties of gauge bosons, leptons, quarks, mesons, and baryons. We summarize ...

Amer Physical Soc2012

Optimal Population Codes for Space: Grid Cells Outperform Place Cells

Alexander Mathis

Rodents use two distinct neuronal coordinate systems to estimate their position: place fields in the hippocampus and grid fields in the entorhinal cortex. Whereas place cells spike at only one particular spatial location, grid cells fire at multiple sites ...

2012

Perturbation Theory Of The Cosmological Log-Density Field

Julien Lesgourgues, Xin Wang

The matter density field exhibits a nearly lognormal probability density distribution after entering into the nonlinear regime. Recently, it has been shown that the shape of the power spectrum of a logarithmically transformed density field is very close to ...

2011

A Framework for Numerical Simulations of Structure Formation

Claude Becker

In the absence of a full analytical treatment of nonlinear structure formation in the universe, numerical simulations provide the critical link between the properties of the underlying model and the features of the observed structures. Currently N-body sim ...

EPFL2011

Quantum scale invariance on the lattice

Igor Tkachev

We propose a scheme leading to a non-perturbative definition of lattice field theories which are scale-invariant on the quantum level. A key idea of the construction is the replacement of the lattice spacing by a propagating dynamical field - the dilaton. ...

2009

Dynamics of large nuclear-spin systems from low-order correlations in Liouville space

David Lyndon Emsley

Simulation of the coherent dynamics of a large lattice of strongly coupled nuclear spins is demonstrated. The evolution of N spins is simulated in a reduced Liouville space X which excludes coherences involving more than k spins, where k < N is chosen to ...

ELSEVIER SCIENCE BV2009

Identification of nano-phases: relative merit of local analysis techniques (HRTEM, nanodiffraction, EDS/EELS)

Philippe Buffat

Information for phase identification may be gathered in the electron transmission microscope with spatial resolution down to the nanometre scale. Energy dispersive X-ray and electron energy loss spectrometries are based on inelastic electronsample interact ...

European Microscopy Society2004

Identification of nano-phases: relative merit of local analysis techniques (HRTEM, nanodiffraction, EDS/EELS)

Philippe Buffat

2004

Bethe approximation for self-interacting lattice trees

Paolo De Los Rios

In this paper we develop a Bethe approximation, based on the cluster variation method, which is apt to study lattice models of branched polymers. We show that the method is extremely accurate in cases where exact results are known as, for instance, in the ...

EDP Sciences2001