Paolo Maria Santini
- Multidimensional quadrilateral lattices are integrable
1996/12/19 by A. Doliwa, Adam Doliwa, P. M. Santini +1 · 14 citations
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #hep-lat #nlin.SI #solv-int
- Transformations of quadrilateral lattices
1997/12/31 by Adam Doliwa, A. Doliwa, P. M. Santini +3 · 10 citations
Computer Science · Materials Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Algebra over a field #Geometric transformation #Point (geometry) #Quadrilateral #Quasicrystal Structures and Properties #Transformation (genetics) #nlin.SI #solv-int
- Charged free fermions, vertex operators and the classical theory of conjugate nets
1998/03/20 by Adam Doliwa, Manuel Mañas, Manuel Manas +6 · 7 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bilinear interpolation #Diagonal #Discrete mathematics #Fermion #Geometry #Integrable system #Laplace transform #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Vertex (graph theory) #hep-th #math.DG #nlin.SI #solv-int
- The symmetric, D-invariant and Egorov reductions of the quadrilateral lattice
1999/07/31 by Adam Doliwa, Paolo Maria Santini · 3 citations
Computer Science · Materials Science · Physics and Astronomy · #Advanced Algebra and Logic #Algebraic number #Conjecture #Euclidean geometry #Hyperplane #Inscribed figure #Lattice (music) #Quadrilateral #Quantum Mechanics and Non-Hermitian Physics #Quasicrystal Structures and Properties #Subspace topology #nlin.SI #solv-int
- Integrable dynamics of a discrete curve and the Ablowitz-Ladik hierarchy
1994/07/27 by Adam Doliwa, Paolo Maria Santini · 1 citation
Physics and Astronomy · #nlin.SI #solv-int
- The Integrable Dynamics of Discrete and Continuous Curves
1994/12/30 by Adam Doliwa, P. Santini, Doliwa, Adam +2 · 1 citation
Computer Science · Engineering · Physics and Astronomy · #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques #Computer Graphics and Visualization Techniques #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI #solv-int
- The self-adjoint 5-point and 7-point difference operators, the associated Dirichlet problems, Darboux transformations and Lelieuvre formulas
2004/02/20 by Maciej Nieszporski, P. Santini, Nieszporski, Maciej +2 · 1 citation
Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #Nonlinear Waves and Solitons #Numerical methods for differential equations #nlin.SI