MARIUS BULIGA

(home)       (OA articles & data)
 
 
(doi) - A reformulation of the Symplectic Brezis-Ekeland-Nayroles principle. figshare. Journal contribution, circulated in manuscript since 2021. (2024)
(doi) (figshare) -Argument from AI summary: How does asemantic computing differ from traditional distributed computing? figshare. Journal contribution. (2023)
(doi) (figshare) -Metric spaces with dilations. figshare. Book. (2023)
(arXiv) (github) (updated) -chemSKI with tokens: world building and economy in the SKI universe (2023)
(arXiv) (journal pdf) (doi) -Dissipation and the information content of the deviation from hamiltonian dynamics, Ann. Acad. Rom. Sci., Math. Appl. 15, No. 1-2, 366-382 (2023)
(github) (doi) -Molecular computers which are based on graph rewriting systems like chemlambda, chemSKI or Interaction Combinators (2022)
(arXiv) (github) -COLIN implies LIN for emergent algebras (2021)
(arXiv) (github) (figshare) -Graph rewrites, from graphic lambda calculus, to chemlambda, to directed interaction combinators (2020)
(arXiv) (github) -Artificial life properties of directed interaction combinators vs. chemlambda (2020)
(arXiv) (github) -Artificial chemistry experiments with chemlambda, lambda calculus, interaction combinators (2020)
(arXiv) -On the information content of the difference from hamiltonian evolution (2019)
(arXiv) (doi)- Molecular computers, text version (2018) of the original, open issue for comments at github
(arxiv) - A stochastic version and a Liouville theorem for hamiltonian inclusions with convex dissipation (2018)
(arxiv) - The em-convex rewrite system, previously on (GitHub) (2018)
(doi) - Chemlambda strings, (2018)
(pdf)- Open Science and Open Access, version 25.09.2017 (2017)
(doi)- The Chemlambda collection of simulations (2017)
(journal) (arxiv) - A symplectic Brezis-Ekeland-Nayroles principle,   with Géry de Saxcé, Mathematics and Mechanics of Solids 22, 6, (2017)
(GitHub)- The library of chemlambda molecules (2016), instructions to use here
(arxiv) - Geometric Ruzsa triangle inequality in metric spaces with dilations. updated (2016)
(GitHub)- Turing machines, chemlambda style (2015)
(GitHub)- Molecular computers (2015), an article which is an experiment in Open Science
(doi) (journal)- Build a molecular computer. Journal of Brief Ideas (2015)
(doi) (arxiv) - Zipper logic. 16 pages, 24 colour figures. (2014)
(MIT Press) (arxiv) - Chemlambda, universality and self-multiplication. (2014) 8 pages, 21 colour figures. with Louis H. Kauffman, presented at ALIFE 14
(arxiv) - GLC actors, artificial chemical connectomes, topological issues and knots. with Louis H. Kauffman (2013)
(doi) (arxiv) - Chemical concrete machine. (2013)
(journal) (arxiv) - Graphic lambda calculus. Complex Systems 22, 4 (2013), 311-360
(arxiv) - Origin of emergent algebras. (2013)
(arxiv) - On graphic lambda calculus and the dual of the graphic beta move. (2013)
(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) - Graphic lambda calculus and knot diagrams, (2012), 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 (2012)
(arxiv) (HAL) - Sub-riemannian geometry from intrinsic viewpoint, Ecole de recherche CIMPA : Geometrie sous-riemannienne, Jan (2012), BEYROUTH, Lebanon, Course notes, based mainly on A characterization...
(arxiv) - Lambda-Scale, a lambda calculus for spaces with dilations (update 23.05.(2012)), see also the posts at chorasimilarity
(arxiv) - Maps of metric spaces, (2011), 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, (2011) improved version of Deformations of normed groupoids (2009)
(arxiv)- Computing with space: a tangle formalism for chora and difference. (2011)
(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 (2010)
(arxiv) - Boring mathematics, artistes pompiers and impressionists (2010)
(arxiv) - What is a space? Computations in emergent algebras and the front end visual system (2010)
(arxiv) - Introduction to metric spaces with dilations (2010)
(arxiv) - Emergent algebras (2009)
(journal) (arxiv) - Hamiltonian inclusions with convex dissipation with a view towards applications, Mathematics and its Applications 1, 2 (2009), 228-251