IMAR MARIUS BULIGA

     
Here is my CV (english).       Une page de présentation des travaux (français).
     
Download articles by research subject:
     
:: Spaces with dilations / Sub-Riemannian geometry / Metric geometry
     
:: Bipotentials / Hamiltonian inclusions / Majorization and quasiconvexity
     
:: Variational methods in brittle fracture
     
     
Scan of first article on topological spaces with dilations: The topological substratum of the derivative (I), Math. Reports (Stud. Cerc. Mat.) 45, 6,       (1993), 453-465
     
WORK IN PROGRESS: I have the "transistor" for simulating spaces, I'm trying to build the "computer".
     
New articles:
                                    ... or go to research subjects to find more papers
     
(arxiv) - Introduction to metric spaces with dilations
(arxiv) - Braided spaces with dilations and sub-riemannian symmetric spaces
(journal) - A priori inequalities between energy release rate and energy concentration for 3D quasistatic brittle fracture propagation, Mathematics and Mechanics of Solids, accepted paper
(arxiv) - Uniform refinements, topological derivative and a differentiation theorem in metric spaces
(arxiv) - Deformations of normed groupoids and differential calculus. First part
(arxiv) (submitted version)- Emergent algebras as generalizations of differentiable algebras, with applications
(journal) (arxiv) - Hamiltonian inclusions with convex dissipation with a view towards applications, Mathematics and its Applications 1, 2 (2009), 228-251
(arxiv) - Blurred maximal cyclically monotone sets and bipotentials, with Géry de Saxcé and Claude Vallée, Analysis and Applications, to appear
(journal) (arxiv) - Blurred constitutive laws and bipotential convex covers,             with Géry de Saxcé and Claude Vallée, Mathematics and Mechanics of Solids
(arxiv) (submitted version) - A characterization of sub-riemannian spaces as length dilatation structures constructed via coherent projections
(journal) (arxiv) - Infinitesimal affine geometry of metric spaces endowed with a dilatation structure, Houston Journal of Mathematics, 36, 1 (2010), 91-136
(journal) (arxiv) - Bipotentials for non monotone multivalued operators: fundamental results and applications, with Géry de Saxcé and Claude Vallée, Acta Applicandae Mathematicae, 110, 2(2010), 955-972
(journal) (arxiv) - Non maximal cyclically monotone graphs and construction of a bipotential for the Coulomb's dry friction law, with Géry de Saxcé and Claude Vallée, J. of Convex Analysis 17, No 1. (2010), 81-94