IMAR MARIUS BULIGA

     
Here are my CV (english) and Scholar profile. Older presentation (français).
     
Link to my arXiv papers. Questions/Answers at mathoverflow.
     
Mathematics and philosophy of mind blog: chorasimilarity. Selected entries:
     
:: (link) Combinatorics versus geometric...
     
:: (link) Baker-Campbell-Hausdorff polynomials and Menelaus theorem
     
:: (link) Principles: randomness/structure or emergent from a common cause?
     
:: (link) Non-Euclidean analysis, a bit of recent history
     
:: (link) The Cartesian Theater: philosophy of mind versus aerography
     
Book project: Metric spaces with dilations (updated 20.06.2011), working version
     
Summer School on Nonlinear Analysis- Rio de Janeiro (jan. 2011)
     
CIMPA research school on sub-riemannian geometry (2012)
     
Research Seminar: Effective methods in metric analysis
     
Project CNCS IDEI Proof mining in metric anaysis, geometric group theory and ergodic theory (PN-II-ID-PCE-2011-3-0383)
     
Download articles by research subject:
     
:: Emergent algebra, simulating spaces, graphical calculi
     
:: Spaces with dilations / Sub-Riemannian geometry / Non-euclidean analysis
     
:: Bipotentials / Hamiltonian inclusions / Majorization and quasiconvexity
     
:: Variational methods in brittle fracture
     
     
Recent articles (2009-2012):
     
                  Go to articles by research subjects to find more papers!
     
(arxiv) - Emergent algebras
(arxiv) - A variational formulation for constitutive laws described by bipotentials,   with Géry de Saxcé and Claude Vallée, accepted by Mathematics and Mechanics of Solids (2012)
(arxiv) - Maps of metric spaces, slightly edited appendix of Computing with space..., see also these slides of the talk "Non-euclidean analysis of dilation structures"
(arxiv) - Normed groupoids with dilations, improved version of Deformations of normed groupoids
(arxiv)- Computing with space: a tangle formalism for chora and difference
(book chapter)(arxiv)- Braided spaces with dilations and sub-riemannian symmetric spaces. in: Geometry. Exploratory Workshop on Differential Geometry and its Applications, eds. D. Andrica, S. Moroianu, Cluj-Napoca 2011, 21-35
(journal)(pdf) (arxiv) - A characterization of sub-riemannian spaces as length dilation structures constructed via coherent projections, Commun. Math. Anal. 11 (2011), No. 2, pp. 70-111
(journal) (arxiv) - Blurred constitutive laws and bipotential convex covers,   with Géry de Saxcé and Claude Vallée, Mathematics and Mechanics of Solids 16(2), (2011), 161-171
(journal)(pdf) - A priori inequalities between energy release rate and energy concentration for 3D quasistatic brittle fracture propagation, Mathematics and Mechanics of Solids, vol. 16 (2011), no.3, 265-282, DOI 10.1177/1081286510375347
(journal) (pdf) (arxiv) - Infinitesimal affine geometry of metric spaces endowed with a dilatation structure, Houston Journal of Mathematics, 36, 1 (2010), 91-136
(journal) (arxiv) - Blurred maximal cyclically monotone sets and bipotentials, with Géry de Saxcé and Claude Vallée, Analysis and Applications 8 (2010), no. 4, 1-14
(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
(arxiv) (FQXi essay) - More than discrete or continuous: a bird's view
(arxiv) - Boring mathematics, artistes pompiers and impressionists
(arxiv) - What is a space? Computations in emergent algebras and the front end visual system
(arxiv) - Introduction to metric spaces with dilations
(journal) (arxiv) - Hamiltonian inclusions with convex dissipation with a view towards applications, Mathematics and its Applications 1, 2 (2009), 228-251