Preprints

1) ``Degenerate Complex Monge Amp`ere Equations Part I." 96 pages. arXiv:2302.14106 [math.DG].

2) ``Degenerate Complex Monge Amp`ere Equation- Local Solution", Submitted.

3) ``Optimal Transport, Ricci Curvature and Bayesian Mean Field Approximation'' Submitted

4) ``Degenerate Complex Monge Amp`ere Equations Part II." 80 pages

5)``On a Class of Singular Complex Manifolds."

6)  `` Mean Field Variational Bayesian approach for Gaussian Mixture Model Rigorous Uncertainity Quantification''

7) ``Convexity in Markov Spaces and the Ising Model'', Joint with Saeed Sadeghi

8) `` Generalized Superchirality on Supermanifolds"

 

 

 

Selected Journal Publications

 

 

 

  1) Bahraini, A. ``Variational Bayesian Approximation. A rigorous approach",  Proceedings of The Romanian Academy, Series A, Vol.23, 107-112, 2022.

 2) Bahraini, A., ``On the Deformation Theory of CY Structures in Strongly Pseudo-convex Manifolds", Bull. Braz. Math. Soc.,Vol 41, No.3,409-420, 2010.`

 3) Bahraini, A. ``Special Lagrangian Sub-manifolds and Super-symmetry", International Journal of Geometric Methods in Modern Physics, Vol. 10, No. 7 (2013).

 4) Bahraini, A.``A Note on Complex Monge-Amp`ere Equation in Stein Manifolds", The Asian Journal

of Mathematics, 12 (2008),

5) Bahraini, A. ``Sur une Classe de Surfaces Complexes D'eg'en'er'ees ", Comptes Rendues de l'Acad'emie

des Sciences Math'ematiques, 344(2007), No.6, 373-376. `

 6) Bahraini, A. ``On the solvability of $ar{partial}$ in a class of hypoanalytic manifolds", Scientia Iranica 344(2007),Vol 15, No.6, 568-573. `

7) Bahraini, A., A.Abbassian, ``Topological Pattern Selection in Recurrent Networks", Journal of Neural Network,

Vol.31, 22-32, 2012.

8) Bahraini, A., ``The Architecture of 2-dimensional Surfaces and an Intuitive Proof of the Gauss-Bonnet Theorem. "

Farhang Va Andisheh Riazi, 2013.

9) Bahraini, A.``Super-symm'etrie et g'eometrie complexe " Th`ese de doctorat sous la direction de Daniel Bennequin, Universit'e Paris 7, 2004.