MARIUS BULIGA

ABOUT: I choose since a long time to put my articles on arXiv vs submitting them to journals. See also my Scholar profile. Read the article Deep Impact: Unintended consequences of journal rank to understand why. Naturally, I signed the San Francisco Declaration on Research Assessment (DORA), as well as The Cost of Knowledge.
     
Read my open notebook chorasimilarity.wordpress.com for live research and opinions on open access publication.
     

     
chemlambda4
     

     
MORE: I have a Habilitation à diriger des recherches en Sciences Mathématiques (download the thesis), (diploma scan), USTL (Lille I), France (2007). Romanian Ministry of Education, as well as all other local research or education institutions, do not recognize habilitations from other EU countries, but recently the ministry invented it's own habilitation procedure. I do not wish to rehabilitate myself. (CV)

ARTICLES / RESEARCH SUBJECTS      
:: Emergent algebra / Computing with space / Graphical calculi
     
:: Spaces with dilations / Sub-Riemannian geometry / Non-euclidean analysis
     
:: Bipotentials / Hamiltonian inclusions / Majorization and quasiconvexity
     
:: Variational methods in brittle fracture
     

RECENT ARTICLES      
(arxiv) - Chemlambda, universality and self-multiplication. 8 pages, 21 colour figures, conference paper submitted to ALIFE 14. with Louis H. Kauffman
(arxiv) - GLC actors, artificial chemical connectomes, topological issues and knots. with Louis H. Kauffman
(doi) (arxiv) - Chemical concrete machine.
(journal) (arxiv) - Graphic lambda calculus. Complex Systems 22, 4 (2013), 311-360
(arxiv) - Origin of emergent algebras.
(arxiv) - Geometric Ruzsa triangle inequality in metric spaces with dilations.
(arxiv) - On graphic lambda calculus and the dual of the graphic beta move.
(arxiv) - Graphic lambda calculus and knot diagrams, see also the posts under the tag graphic lambda calculus at chorasimilarity.
(arxiv) - Local and global moves on locally planar trivalent graphs, lambda calculus and lambda-Scale
(arxiv) - Sub-riemannian geometry from intrinsic viewpoint, Course notes, based mainly on A characterization..., for a course at CIMPA research school on sub-riemannian geometry (2012)
(arxiv) - Lambda-Scale, a lambda calculus for spaces with dilations (update 23.05.2012), see also the posts at chorasimilarity
(arxiv) - Emergent algebras
(journal) (arxiv) - A variational formulation for constitutive laws described by bipotentials,   with Géry de Saxcé and Claude Vallée, Mathematics and Mechanics of Solids 18(2013), no. 1, 78-90
(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