Ludovick Bouthat

Contact Info

Research Interests

Matrix and operator theory, functional analysis, convex geometry, combinatorics, and classical and complex analysis

Recent Publications

1. Norm of infinite doubly stochastic matrices   ⟨arXiv - ResearchGate - DOI⟩
   Ludovick Bouthat, Javad Mashreghi, Raphaël Vo. Linear Algebra Appl., 754 : 289–306, 2027.
2. On the convergence of doubly stochastic Markov Chains   ⟨arXiv - ResearchGate - DOI⟩
   Ludovick Bouthat, Nicolas Doyon, Javad Mashreghi, Frédéric Morneau-Guérin. Publicacions Matematiques, 70(2) : 421–444, 2026.
3. Number of orbits of k-subsets of permutations   ⟨arXiv - ResearchGate - DOI⟩
   Ludovick Bouthat, Raghavendra Tripathi, Journal of algebraic combinatorics, 63, 42, 2026.
4. Hunter’s positivity theorem and random vector norms   ⟨arXiv - ResearchGate - DOI⟩
   Ludovick Bouthat, Ángel Chávez, Stephan Ramon Garcia. In: Operator Theory, Related Fields, and Applications. Operator Theory: Advances and Applications, vol 307. Birkhäuser, Cham : 149–215, 2025.
5. On the Geometry of the Birkhoff Polytope. II. The Schatten p-norms   ⟨arXiv - ResearchGate - DOI⟩
   Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin. Acta Sci. Math. (Szeged), 91 : 401–419, 2025.
6. On the Geometry of the Birkhoff Polytope. I. The operator ℓp-norms   ⟨arXiv - ResearchGate - DOI⟩
   Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin. Acta Sci. Math. (Szeged), 91 : 227–245, 2025. 
7. La théorie de la sommabilité : une généralisation quasi-arithmétique   ⟨ResearchGate - DOI⟩
   Julien April, Ludovick Bouthat. Bulletin AMQ, 64(2) : 28–50, 2024.
8. On the monotonicity of left and right Riemann sums   ⟨arXiv - ResearchGate - DOI⟩
   Ludovick Bouthat. Sampling Theory, Signal Processing, and Data Analysis, 22(14), 2024. 
9. On the Submultiplicativity of Matrix Norms Induced by Random Vectors   ⟨arXiv - ResearchGate - DOI⟩
   Ludovick Bouthat. Complex Anal. Oper. Theory, 73(18), 2024. 
10. The diameter of the Birkhoff Polytope   ⟨ResearchGate - DOI⟩
    Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin. Special matrices, 12(1), 2024. 
11. On a question of Erdős on doubly stochastic matrices   ⟨arXiv - ResearchGate - DOI⟩
    Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin. Linear and Multilinear Algebra, 72(17) : 2823–2844, 2024.
12. Hardy-type inequalities for ℓp sequences   ⟨arXiv - ResearchGate - DOI⟩
    Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin. Journal of Mathematical Inequalities, 17(3) : 1165–1178, 2023. 
13. La représentation des matrices bistochastiques en produits de T-transformations   ⟨ResearchGate - DOI⟩
    Ludovick Bouthat. Bulletin AMQ, 63(1) : 11–20, 2023. 
14. On the norm of normal matrices   ⟨ResearchGate - DOI⟩
    Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin. RIMS Kôkyûroku Bessatsu, B93 : 183–222, 2023. 
15. Monotonicity of left and right Riemann sums   ⟨ResearchGate - DOI⟩
    Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin. Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis. Operator Theory : Advances and Applications, Birkhäuser/Springer, Cham, 290 : 89–113, 2023.