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A DIFFERENT CONSTRUCTION OF GAUSSIAN FIELDS FROM MARKOV CHAINS: DIRICHLET COVARIANCES UNE NOUVELLE CONSTRUCTION DE CHAMPS GAUSSIENS à PARTIR DE CHAÎNES DE MARKOV
Class gaussian markov chain the index space green's function
2015/7/8
We study a class of Gaussian random fields with negative correlations. These fields are easy to simulate. They are defined in a natural way from a Markov chain that has the index space of ...
Valuation theory of exponential Hardy fields
Valuation theory of exponential Hardy fields Logic
2012/6/19
We describe the residue fields of arbitrary convex valuations on certain o-minimal expansions of the ordered field of real numbers. References: [1] Franz-Viktor and Salma Kuhlmann: Residue fields of a...
A Note on Schanuel's Conjectures for Exponential Fields
Note Schanuel's Conjectures Exponential Fields
2012/4/18
We apply a result of J. Ax [On Schanuel's Conjectures, Annals of Mathematics 93 (1971), 252-268] to differential valued exponential fields. In particular, we establish Schanuel's conjecture regarding ...
Let K be a Galois number field of prime degree $\ell$. Heilbronn showed that for a given $\ell$ there are only finitely many such fields that are norm-Euclidean. In the case of $\ell=2$ all such norm-...
On Archimedean Decompositions of Linearly Ordered Fields
On Archimedean Decompositions Linearly Ordered Fields
2010/11/22
In 1907, Hans Hahn proved the remarkable fact that any ordered group can be embedded in an ordered real function space. This set the stage for work on ordered groups and fields, and this area receive...
On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields
The Characteristic Polynomial Frobenius Supersingular Abelian
2010/11/15
In this article, we derive the list of the characteristic polynomials of the Frobenius endomorphism of simple supersingular abelian varieties of dimension $1,~2,~3,~4,~5,~6,~7$ over $\mathbb{F}_q$ whe...
Generalized Dirac bracket and the role of the Poincaré symmetry in the program of canonical quantization of fields 2
Generalized Dirac bracket the Poincaré symmetry canonical quantization
2010/11/19
In this article the methods of canonical analysis and quantization that were reviewed in the first part of the series are applied to the case of the Dirac field in the presence of electromagnetic inte...
On the structure of systematic perturbation theory with unstable fields
perturbation theory unstable fields
2010/11/2
Discussed is the structure of non-trivial counterterms that occur in the systematic gauge-invariant perturbation theory with unstable fields introduced in [hep-ph/9802307].