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On the Asymptotic Connectivity of Random Networks under the Random Connection Model
Asymptotic Connectivity Random Networks Random Connection Model
2011/3/4
Consider a network where all nodes are distributed on a unit square following a Poisson distribution with known density and a pair of nodes separated by an Euclidean distance x are directly connecte...
Hyperplane sections and the subtlety of the Lefschetz properties
Monomial ideal lifting Lefschetz properties hyperplane section
2011/1/21
The weak and strong Lefschetz properties are two basic properties that Artinian algebrasmay have. Both Lefschetz properties may vary under small perturbations or changes of the characteristic.
Extended Generalized-K (EGK): A New Simple and General Model for Composite Fading Channels
Extended Generalized-K (EGK) New Simple General Model Composite Fading Channels
2011/1/21
In this paper, we introduce a generalized composite fading distribution (termed extended generalized-K (EGK)) to model the envelope and the power of the received signal in millimeter wave (60 GHz or a...
A phase field model for liquid-vapour phase transitions
Liquid-Vapour Phase Transitions Critical point
2011/1/21
We propose a model describing the liquid-vapour phase transition according to a phase-eld approach. The model takes up the setting proposed in [1], where a phase eld ' is introduced whose equilibriu...
Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon
Asymptotic models generation of internal waves
2011/3/1
This paper deals with the dead-water phenomenon, which occurs when a ship sails in a stratified fluid, and experiences an important drag due to waves below the surface. More gen-
erally, we study the...
Examples of degenerations of Cohen-Macaulay modules
degeneration Cohen-Macaulay module finite representation type
2011/2/25
We study the degeneration problem for maximal Cohen-Macaulay modules and give several examples of such degenerations.
Non-asymptotic deviation inequalities for smoothed additive functionals in non-linear state-space models with applications to parameter estimation
Non-asymptotic deviation inequalities smoothed additive functionals in non-linear state-space parameter estimation
2011/2/22
Approximating joint smoothing distributions using particle-based methods is a well-known issue in statistical inference when operating on general state space hidden Markov models (HMM). In this paper ...
A simple proof of orientability in the colored Boulatov model
simple proof of orientability colored Boulatov model
2011/2/22
In this short note we use results from the theory of crystallizations to prove that color in group eld theories garantees orientability of the piecewise linear pseudo-manifolds associated to each gra...
On the dynamical analysis of evolution equations via generalized models
Generalized models evolution equations bifurcations scaling transformation
2010/12/28
The analysis of evolution equations such as ordinary or partial differential equations
often splits into two different directions. One either makes minimal assumptions about
their structure and trie...
Quantum deformation of two four-dimensional spin foam models
Quantum deformation two four-dimensional spin foam models
2011/3/3
We construct the q-deformed version of two four-dimensional spin foam models, the Eu-clidean and Lorentzian versions of the EPRL model. The q-deformed models are based on the representation theory of ...
On the dynamical analysis of evolution equations via generalized models
Generalized models evolution equations bifurcations scaling transformation
2011/2/24
The analysis of evolution equations such as ordinary or partial differential equations often splits into two different directions. One either makes minimal assumptions about their structure and tries ...
Heat kernel expansion and induced action for the matrix model Dirac operator
Heat kernel expansion induced action matrix model Dirac operator
2011/3/3
We compute the quantum effective action induced by integrating out fermions in Yang-Mills matrix models on a 4-dimensional background, expanded in powers of a gauge-invariant UV cutoff.
Efficient Exact Sampling for the Ising Model at all Temperatures
Ising model exact sampling random cluster model
2011/2/22
The Ising model is often referred to as the most studied model of statistical physics. It describes the behavior of ferromagnetic material at different temperatures.
We formulate and prove a new criterion for stability of e–processes introduced by A. Lasota and T. Szarek [J. Differential Equations 231 (2006), 513–533]. In particular we prove that that any e–proces...
About a moduli space of elliptic curves and the Golay code G_{24}
moduli space elliptic curves Golay code G_{24}
2011/1/20
We investigate algebraic structures related to triangle decompositions of a moduli space of complex tori given by the Veech curve T. We show that these structures produce the binary error correcting ...