Non-Markovian quadratic forms obtained by homogenization

Marc Briane

Displaying similar documents to “Non-Markovian quadratic forms obtained by homogenization”

Fibered microstructures for some nonlocal Dirichlet forms

Marc Briane, Nicoletta Tchou (2001)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Binary quadratic forms and Eichler orders

Montserrat Alsina (2005)

Journal de Théorie des Nombres de Bordeaux

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For any Eichler order $𝒪 (D, N)$ of level $N$ in an indefinite quaternion algebra of discriminant $D$ there is a Fuchsian group $Γ (D, N) \subseteq SL (2, ℝ)$ and a Shimura curve $X (D, N)$ . We associate to $𝒪 (D, N)$ a set $ℋ (𝒪 (D, N))$ of binary quadratic forms which have semi-integer quadratic coefficients, and we develop a classification theory, with respect to $Γ (D, N)$ , for primitive forms contained in $ℋ (𝒪 (D, N))$ . In particular, the classification theory of primitive integral binary quadratic forms by $SL (2, ℤ)$ is recovered. Explicit fundamental domains for $Γ (D, N)$ allow the characterization...

Remarks on the quasiconvex envelope of some functions depending on quadratic forms

M. Bousselsal, H. Le Dret (2002)

Bollettino dell'Unione Matematica Italiana

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We compute the quasiconvex envelope of certain functions defined on the space $M_{m n}$ of real $m \times n$ matrices. These functions are basically functions of a quadratic form on $M_{m n}$ . The quasiconvex envelope computation is applied to densities that are related to the James-Ericksen elastic stored energy function.

Some biorthogonal $q$ -polynomials in two variables.

Leonard Carlitz (1958)

Bollettino dell'Unione Matematica Italiana

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Displaying similar documents to “Non-Markovian quadratic forms obtained by homogenization”

Fibered microstructures for some nonlocal Dirichlet forms

Binary quadratic forms and Eichler orders

Remarks on the quasiconvex envelope of some functions depending on quadratic forms

Some biorthogonal q -polynomials in two variables.

Some biorthogonal $q$ -polynomials in two variables.