Matilde Marcolli

1. Holography principle and arithmetic of algebraic curves
   2002/01/07 by Yuri I. Manin, Matilde Marcolli · 3 citations
   Physics and Astronomy · Mathematics · #hep-th #math.AG
2. Tensor networks, p-adic fields, and algebraic curves: arithmetic and the AdS₃/CFT₂ correspondence
   2016/05/24 by Matthew Heydeman, Matilde Marcolli, Heydeman, Matthew +5 · 5 citations
   Mathematics · Physics and Astronomy · Computer Science · #advanced mathematical theories #Black Holes and Theoretical Physics #Topological and Geometric Data Analysis
3. Noncommutative geometry and motives: the thermodynamics of endomotives
   2005/12/07 by Alain Connes, Caterina Consani, Connes, Alain +3 · 3 citations
   Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Advanced Topics in Algebra
4. Mathematical Structure of Syntactic Merge
   2023/05/29 by Matilde Marcolli, Noam Chomsky, Marcolli, Matilde +3 · 6 citations
   Arts and Humanities · Computer Science · #16T05 #68Q70 #Advanced Algebra and Logic #Computation and Language (cs.CL) #FOS: Computer and information sciences #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #Syntax, Semantics, Linguistic Variation
5. From Physics to Number Theory via Noncommutative Geometry. Part I: Quantum Statistical Mechanics of Q-lattices
   2004/04/06 by Alain Connes, Matilde Marcolli, Connes, Alain +1 · 3 citations
   Mathematics · Physics and Astronomy · #11F03 #11G18 #11M06 #46L55 #58B34 #82B10 #82B26 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT) #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math-ph #math.MP #math.NT #math.OA #math.QA #msc:11F03 #msc:11G18 #msc:11M06 #msc:46L55 #msc:58B34 #msc:82B10 #msc:82B26
6. Old and New Minimalism: a Hopf algebra comparison
   2023/06/17 by Matilde Marcolli, Robert C. Berwick, Marcolli, Matilde +3 · 3 citations
   Mathematics · Computer Science · #Advanced Topics in Algebra #Advanced Graph Theory Research #Algebraic structures and combinatorial models
7. Cuntz-Krieger algebras and wavelets on fractals
   2009/08/05 by Matilde Marcolli, Marcolli, Matilde, A. M. Paolucci +1 · 2 citations
   Mathematics · #28A80 #42C40 #46L85 #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Random Matrices and Applications
8. Thermodynamic Semirings
   2011/08/14 by Matilde Marcolli, Marcolli, Matilde, Ryan Thorngren +1 · 1 citation
   Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Quantum Algebra (math.QA) #Statistical Mechanics and Entropy
9. Homotopy Theoretic and Categorical Models of Neural Information Networks
   2024/09/06 by Yuri I. Manin, Matilde Marcolli · 2 citations
   Computer Science · #Computability, Logic, AI Algorithms #Neural Networks and Applications #Topological and Geometric Data Analysis
10. Noncommutative numerical motives, Tannakian structures, and motivic\n Galois groups
    2011/10/11 by Matilde Marcolli, Gonçalo Tabuada, Marcolli, Matilde +1 · 1 citation
    Mathematics · #Algebraic Geometry and Number Theory #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models
11. Spectral action and heat kernel trace for Ricci flat manifolds from stochastic flow over second quantized L²-differential forms
    2024/01/01 by Sita Gakkhar, Matilde Marcolli, Gakkhar, Sita +1 · 1 citation
    Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Black Holes and Theoretical Physics
12. Exact triangles in Seiberg-Witten Floer theory. Part IV: Z-graded monopole homology
    2000/09/15 by Matilde Marcolli, Bai-Ling Wang, Marcolli, Matilde +2 · 2 citations
    Mathematics · #57R57 #57R58 #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG #math.GT #msc:57R57 #msc:57R58