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A note on Exact solution of SIR and SIS epidemic models
SIR and SIS Epidemiology Exact Solution
2011/2/25
In this article we have successfully obtained an exact solution of a particular case of SIR and SIS epidemic models given by Kermack and Mckendrick [1] for constant population, which are described by ...
LASSO Methods for Gaussian Instrumental Variables Models
LASSO Methods Gaussian Instrumental Variables Models
2011/3/2
In this note, we propose the use of sparse methods (e.g. LASSO, Post-LASSO,p LASSO, and Post-
p LASSO) to form rst-stage predictions and estimate optimal instru-ments in linear instrumental variable...
Critical Ising Model and Cycle Rooted Spanning Forests: an explicit correspondence
Critical Ising Model Cycle Rooted explicit correspondence
2011/3/4
Fisher established an explicit correspondence between the 2-dimensional Ising model defined on a graph G and the dimer model defined on a decorated version G of this graph [Fis66].
“Epigenetic Tracking” is a model of systems of biological cells, able to generate arbitrary 2 or 3-dimensional cellular shapes of any kind and complexity (in terms of number of cells, number of colour...
Glow discharge in low pressure plasma PVD: mathematical model and numerical simulations
Glow discharge low pressure plasma PVD mathematical model numerical simulations
2011/3/2
In this paper we analyze the problem of glow discharge in low pressure plasma in industrial plant, for chambers of different shapes and various working parameters, like pressure and electric potential...
The Triple Helix, Quadruple Helix, . . ., and an N-tuple of Helices: Explanatory Models for Analyzing the Knowledge-based Economy?
triple helix N-tuple helices innovation system overlay model measurement
2010/12/28
Using the Triple Helix model of university-industry-government relations, one can measure the extent to which innovation has become systemic instead of assuming the existence of national (or regional)...
Grassmanian and Bosonic Thirring Models with Jump Defects
Grassmanian Bosonic Thirring Models with Jump Defects
2010/12/28
In this paper we discuss the Lax formulation of the Grassmanian and Bosonic Thirring
models in the presence of jump defects. For the Grassmanian case, the defect is described by
B¨acklund transforma...
Geometry of maximum likelihood estimation in Gaussian graphical models
Geometry of maximum likelihood estimation Gaussian graphical models
2011/1/21
We study maximum likelihood estimation in Gaussian graphical models from a geometric point of view. An algebraic elimination criterion allows us to nd exact lower bounds on the number of observations...
Nordhaus-Gaddum-type theorem for rainbow connection number of graphs
edge-colored graph rainbow connection number Nordhaus-Gaddumtype
2011/1/21
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection number of G, denoted rc(G), is the minimum number of c...
Remarks on the Hamiltonian for the Fermionic Unitary Gas model
Remarks Hamiltonian Fermionic Unitary Gas model
2011/1/17
We consider a quantum system in dimension three composed by a group of N iden-
tical fermions, with mass 1/2, interacting via zero-range interaction with a group of M identical fermions of a differen...
A Simulation of Oblivious Multi-Head One-Way Finite Automata by Real-Time Cellular Automata
Simulation of Oblivious Multi-Head One-Way Finite Automata Real-Time Cellular Automata
2010/12/28
In this paper, we present the simulation of a simple, yet significantly powerful, sequential model by cellular automata. The simulated model is called oblivious multi-head one-way finite automata and ...
Dimer models are introduced by string theorists (see e.g. [6, 7, 8, 11, 12, 13]) to study supersymmetric quiver gauge theories in four dimensions. A dimer model is a bicolored graph on a 2-torus which...
Reversible computing is a concept re ecting physical reversibility. Until now several reversible systems have been investigated.
Towards a Better Understanding of Large Scale Network Models
Better Understanding Large Scale Network Models
2011/3/4
Connectivity and capacity are two fundamental properties of wireless multi-hop networks. The scalability of these properties has been a primary concern for which asymptotic analysis is a useful tool.
Lattice Models of Nonequilibrium Bacterial Dynamics
Lattice Models Nonequilibrium Bacterial Dynamics
2011/3/2
We study a model of self propelled particles exhibiting run-and-tumble dynamics on lattice. This non-Brownian di usion is characterised by a random walk with a nite persistence length between changes...