Publications (131)
Syntactic Structures and Code Parameters
Kevin Shu, Matilde Marcolli
Motives and periods in Bianchi IX gravity models
Wentao Fan, Farzad Fathizadeh, Matilde Marcolli
Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications
Matilde Marcolli, Xiang Ni
Archimedean cohomology revisited
Caterina Consani, Matilde Marcolli
Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples
Matilde Marcolli, Nick Zolman
Symbolic Dynamics, Modular Curves, and Bianchi IX Cosmologies
Yuri Manin, Matilde Marcolli
KMS states and complex multiplication
Alain Connes, Matilde Marcolli, Niranjan Ramachandran
Twisted higher index theory on good orbifolds and fractional quantum numbers
Matilde Marcolli, Varghese Mathai
Semantic Spaces
Yuri Manin, Matilde Marcolli
Gamma Spaces and Information
Matilde Marcolli
Kolmogorov complexity and the asymptotic bound for error-correcting codes
Yuri I. Manin, Matilde Marcolli
Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models
Christopher Estrada, Matilde Marcolli
The Ricci flow on noncommutative two-tori
Tanvir Ahamed Bhuyain, Matilde Marcolli
Reconstructing global fields from Dirichlet L-series
Gunther Cornelissen, Bart de Smit, Xin Li +2
A motivic approach to phase transitions in Potts models
Paolo Aluffi, Matilde Marcolli
Exact triangles in Seiberg-Witten Floer theory. Part II: geometric limits of flow lines
Matilde Marcolli, Bai-Ling Wang
Endomotives of toric varieties
Zhaorong Jin, Matilde Marcolli
Periods and motives in the spectral action of Robertson-Walker spacetimes
Farzad Fathizadeh, Matilde Marcolli
Arithmetic of Potts model hypersurfaces
Matilde Marcolli, Jessica Su
Coupling of gravity to matter, spectral action and cosmic topology
Branimir Cacic, Matilde Marcolli, Kevin Teh
Noncommutative Mixmaster Cosmologies
Christopher Estrada, Matilde Marcolli
q-deformations of statistical mechanical systems and motives over finite fields
Matilde Marcolli, Zhi Ren
Spin Glass Models of Syntax and Language Evolution
Karthik Siva, Jim Tao, Matilde Marcolli
Noncommutative geometry and motives: the thermodynamics of endomotives
Alain Connes, Caterina Consani, Matilde Marcolli
Limiting modular symbols and the Lyapunov spectrum
Matilde Marcolli
Feynman integrals and motives of configuration spaces
Ozgur Ceyhan, Matilde Marcolli
Noncommutative motives and their applications
Matilde Marcolli, Goncalo Tabuada
Entropy algebras and Birkhoff factorization
Matilde Marcolli, Nicolas Tedeschi
Lectures on Arithmetic Noncommutative Geometry
Matilde Marcolli
Non-commutative geometry, dynamics, and infinity-adic Arakelov geometry
Caterina Consani, Matilde Marcolli
Bell polynomials and Brownian bridge in Spectral Gravity models on multifractal Robertson-Walker cosmologies
Farzad Fathizadeh, Yeorgia Kafkoulis, Matilde Marcolli
Syntactic Phylogenetic Trees
Kevin Shu, Sharjeel Aziz, Vy-Luan Huynh +2
Type III sigma-spectral triples and quantum statistical mechanical systems
Mark Greenfield, Matilde Marcolli, Kevin Teh
Reconstructing global fields from dynamics in the abelianized Galois group
Gunther Cornelissen, Xin Li, Matilde Marcolli +1
Noncommutative numerical motives, Tannakian structures, and motivic Galois groups
Matilde Marcolli, Goncalo Tabuada
Twisted higher index theory on good orbifolds, II: fractional quantum numbers
Matilde Marcolli, Varghese Mathai
Quantum statistical mechanics in arithmetic topology
Matilde Marcolli, Yujie Xu
Motivic renormalization and singularities
Matilde Marcolli
Triplets spectraux en geometrie d'Arakelov
Caterina Consani, Matilde Marcolli
From Physics to Number Theory via Noncommutative Geometry. Part I: Quantum Statistical Mechanics of Q-lattices
Alain Connes, Matilde Marcolli
Unconditional noncommutative motivic Galois groups
Matilde Marcolli, Goncalo Tabuada
Homotopy types and geometries below Spec Z
Yuri I. Manin, Matilde Marcolli
Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology
Daniel Kolodrubetz, Matilde Marcolli
Modular shadows and the Levy-Mellin infinity-adic transform
Yuri Manin, Matilde Marcolli
Potts models with magnetic field: arithmetic, geometry, and computation
Shival Dasu, Matilde Marcolli
Graph hypersurfaces and a dichotomy in the Grothendieck ring
Paolo Aluffi, Matilde Marcolli
Spectral Action for Bianchi Type-IX Cosmological Models
Wentao Fan, Farzad Fathizadeh, Matilde Marcolli
Edge length dynamics on graphs with applications to $p$-adic AdS/CFT
Steven S. Gubser, Matthew Heydeman, Christian Jepsen +5
Quantum computation and real multiplication
Matilde Marcolli, John Napp
Feynman motives of banana graphs
Paolo Aluffi, Matilde Marcolli
Towards the fractional quantum Hall effect: a noncommutative geometry perspective
Matilde Marcolli, Varghese Mathai
Feynman integrals and motives
Matilde Marcolli
KMS weights on higher rank buildings
Jake Marcinek, Matilde Marcolli
Twisted index theory on orbifold symmetric products and the fractional quantum Hall effect
Matilde Marcolli, Kyle Seipp
Algebro-geometric Feynman rules
Paolo Aluffi, Matilde Marcolli
Phylogenetics of Indo-European Language families via an Algebro-Geometric Analysis of their Syntactic Structures
Kevin Shu, Andrew Ortegaray, Robert Berwick +1
Graph Reconstruction and Quantum Statistical Mechanics
Gunther Cornelissen, Matilde Marcolli
Parametric Feynman integrals and determinant hypersurfaces
Paolo Aluffi, Matilde Marcolli
Quantum Statistical Mechanics, L-series and Anabelian Geometry
Gunther Cornelissen, Matilde Marcolli
Principles and Parameters: a coding theory perspective
Matilde Marcolli
Dynamical Systems on Spectral Metric Spaces
Jean V. Bellissard, Matilde Marcolli, Kamran Reihani
Heat Kernel analysis of Syntactic Structures
Andrew Ortegaray, Robert C. Berwick, Matilde Marcolli
Moduli Operad over F1
Yuri I. Manin, Matilde Marcolli
Motives: an introductory survey for physicists
Abhijnan Rej, Matilde Marcolli
Holographic Codes on Bruhat--Tits buildings and Drinfeld Symmetric Spaces
Matilde Marcolli
From Physics to Number Theory via Noncommutative Geometry, Part II: Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory
Alain Connes, Matilde Marcolli
Spectral triples from Mumford curves
Caterina Consani, Matilde Marcolli
Anyons in Geometric Models of Matter
Michael Atiyah, Matilde Marcolli
Multifractals, Mumford curves, and Eternal Inflation
Matilde Marcolli, Nicolas Tedeschi
Cyclotomy and endomotives
Matilde Marcolli
Exact triangles in monopole homology and the Casson-Walker invariant
Matilde Marcolli, Bai-Ling Wang
Feynman integrals and periods in configuration spaces
Ozgur Ceyhan, Matilde Marcolli
Fun with $\F_1$
Alain Connes, Caterina Consani, Matilde Marcolli
Persistent Topology of Syntax
Alexander Port, Iulia Gheorghita, Daniel Guth +4
The Weil proof and the geometry of the adeles class space
Alain Connes, Caterina Consani, Matilde Marcolli
Solvmanifolds and noncommutative tori with real multiplication
Matilde Marcolli
New perspectives in Arakelov geometry
Caterina Consani, Matilde Marcolli
The spectral action and cosmic topology
Matilde Marcolli, Elena Pierpaoli, Kevin Teh
Dyson-Schwinger equations in the theory of computation
Colleen Delaney, Matilde Marcolli
Modular Index Invariants of Mumford Curves
Alan Carey, Matilde Marcolli, Adam Rennie
Kontsevich's noncommutative numerical motives
Matilde Marcolli, Goncalo Tabuada
Open string theory and planar algebras
Ozgur Ceyhan, Matilde Marcolli
Thermodynamic Semirings
Matilde Marcolli, Ryan Thorngren
Error-correcting codes and phase transitions
Yuri I. Manin, Matilde Marcolli
Codes as fractals and noncommutative spaces
Matilde Marcolli, Christopher Perez
The coupling of topology and inflation in Noncommutative Cosmology
Matilde Marcolli, Elena Pierpaoli, Kevin Teh
Exact triangles in Seiberg-Witten Floer theory. Part III: proof of exactness
Matilde Marcolli, Bai-Ling Wang
Quantum statistical mechanics over function fields
Caterina Consani, Matilde Marcolli
Jacobians of noncommutative motives
Matilde Marcolli, Goncalo Tabuada
Cuntz-Krieger algebras and wavelets on fractals
Matilde Marcolli, Anna Maria Paolucci
Noncommutative motives, numerical equivalence, and semi-simplicity
Matilde Marcolli, Goncalo Tabuada
Noncommutative Artin motives
Matilde Marcolli, Goncalo Tabuada
Continued fractions, modular symbols, and non-commutative geometry
Yuri I. Manin, Matilde Marcolli
Seiberg-Witten Floer Homology and Heegaard Splittings
Matilde Marcolli
Graph Grammars, Insertion Lie Algebras, and Quantum Field Theory
Matilde Marcolli, Alexander Port
Equivariant Seiberg-Witten Floer Homology
Matilde Marcolli, Bai-Ling Wang
Coverings, correspondences, and noncommutative geometry
Matilde Marcolli, Ahmad Zainy al-Yasry
A walk in the noncommutative garden
Alain Connes, Matilde Marcolli
On the K-theory of graph C*-algebras
Gunther Cornelissen, Oliver Lorscheid, Matilde Marcolli
Algebraic renormalization and Feynman integrals in configuration spaces
Ozgur Ceyhan, Matilde Marcolli