Dr Yves J M Tourigny

Search results

• 2022

  Generalized Lyapunov exponent for the one-dimensional Schrödinger equation with Cauchy disorder: Some exact results

  Comtet, A., Texier, C. & Tourigny, Y., 24 Jun 2022, In: Physical Review E. 105, 6, 19 p., 064210.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Exact Result 100%
  • Lyapunov Exponent 100%
  • Schr Dinger Equation 100%
  • Cumulants 60%
  • Asymptotics 20%
  57 Downloads (Pure)
• 2017

  Impurity models and products of random matrices

  Comtet, A. & Tourigny, Y., 10 Aug 2017, Stochastic Processes and Random Matrices: Lecture Notes of the Les Houches Summer School 2015. Schehr, G., Altland, A., Fyodorov, Y. V., O'Connell, N. & Cugliandolo, L. F. (eds.). Oxford: Oxford University Press, Vol. 104. 71 p. (Lecture Notes of the Les Houches Summer School).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  Open Access

  File

  • Random Matrix 100%
  • Matrix 50%
  • Sufficient Condition 50%
  • Exponential Growth 50%
  • Furstenberg 50%
  380 Downloads (Pure)
• 2015

  Explicit formulae in probability and in statistical physics

  Tourigny, Y. & Comtet, A., 7 Sept 2015, In Memoriam Marc Yor--Seminaire de Probabilites XLVII: Lecture Notes in Mathematics. Donati-Martin, C. & Rouault, A. (eds.). Springer, Vol. 2137. p. 505-519 15 p. (Lecture Notes in Mathematics).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

  Open Access

  File

  • Physics 100%
  • Disordered System 100%
  • Statistical Physics 100%
  3 Citations (Scopus)

  395 Downloads (Pure)
• 2014

  One-Dimensional Disordered Quantum Mechanics and Sinai Diffusion with Random Absorbers

  Grabsch, A., Texier, C. & Tourigny, Y. J. M., 1 Apr 2014, In: Journal of Statistical Physics. 155, 2, p. 237–276 40 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Hankel Function 100%
  • Delta Function 100%
  • One Dimensional 100%
  • Variance 50%
  • Approximates 50%
  14 Citations (Scopus)

  358 Downloads (Pure)
• 2013

  Lyapunov exponents, one-dimensional Anderson localisation and products of random matrices

  Comtet, A., Texier, C. & Tourigny, Y., 4 Jun 2013, In: Journal of Physics A: Mathematical and Theoretical. 46, 25, 20 p., 254003.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Random Matrix 100%
  • Lyapunov Exponent 100%
  • Random Point 25%
  • Furstenberg 25%
  • Localization Length 25%
  34 Citations (Scopus)

  626 Downloads (Pure)

• The Lyapunov Exponent of Products of Random 2x2 Matrices Close to the Identity

  Comtet, A., Luck, J.-M., Texier, C. & Tourigny, Y., Jan 2013, In: Journal of Statistical Physics. 150, 1, p. 13-65 53 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Matrix 100%
  • Lyapunov Exponent 100%
  • Scaling Function 66%
  • Identitymatrix 33%
  • Special Function 33%
  29 Citations (Scopus)
• 2011

  Continued fraction solution of Krein's inverse problem

  Tourigny, Y., Aug 2011, In: Inverse Problems. 27, 8, 16 p., 085008.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Continued Fraction 100%
  • Stieltjes 100%
  • Characteristic Function 100%
  • Diffusion Process 50%
  2 Citations (Scopus)

• Excursions of diffusion processes and continued fractions

  Comtet, A. & Tourigny, Y., Aug 2011, In: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques. 47, number 3, p. 850 - 874 25 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Continued Fraction 100%
  • Riccati Equation 100%
  • Diffusion Process 100%
  • Infinite Continued Fraction 50%
  6 Citations (Scopus)

• Supersymmetric Quantum Mechanics with Lévy Disorder in One Dimension

  Comtet, A., Texier, C. & Tourigny, Y., Dec 2011, In: Journal of Statistical Physics. 145, 5, p. 1291 - 1323 33 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Lvy Process 100%
  • One Dimension 100%
  • Lyapunov Exponent 100%
  • Density of States 100%
  • Stieltjes 50%
  12 Citations (Scopus)
• 2010

  Products of Random Matrices and Generalised Quantum Point Scatterers

  Comtet, A., Texier, C. & Tourigny, Y., Aug 2010, In: Journal of Statistical Physics. 140, 3, p. 427 - 466 40 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Random Matrix 100%
  • Matrix 33%
  • Invariant Measure 33%
  • Product of Matrix 33%
  • Schr Dinger Equation 33%
  22 Citations (Scopus)
• 2008

  Explicit invariant measures for products of random matrices

  Marklof, J., Tourigny, Y. & Wolowski, L., 4 Jan 2008

  Research output: Non-textual form › Web publication/site

  • Lyapunov Exponent 32%
  • Inverse Gaussian 21%
  24 Citations (Scopus)
• 2007

  A multidimensional continued fraction based on a high-order recurrence relation

  Tourigny, Y. & Smart, N., May 2007, In: Mathematics of Computation. 76 (260), p. 1995 - 2022 28 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Continued Fraction 100%
  • Recurrence Relation 100%
  • Rounding Procedure 75%
  • Integer 50%
  • Asymptotics 50%

• Padé approximants of random Stieltjes series

  Marklof, J., Tourigny, Y. & Wolowski, L., Nov 2007, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 463 (2087), p. 2813 - 2832 20 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Approximant 100%
  • Stieltjes 100%
  • Continued Fraction 66%
  • Diagonal 33%
  • Explicit Formula 33%
  1 Citation (Scopus)
• 2005

  The optimisation of the mesh in first-order systems least-squares methods

  Tourigny, Y., Aug 2005, In: Journal of Scientific Computing. 24 (2), p. 219 - 245 27 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Optimization 100%
  • Least Squares Method 100%
  • Partial Differential Equation 50%
  • Finite Element Methods 50%
  • Convection 50%
  3 Citations (Scopus)
• 2003

  A case study of methods of series summation: Kelvin-Helmholtz instability of finite amplitude

  Khan, M., Tourigny, Y. & Drazin, P., May 2003, In: Journal of Computational Physics. 187 (1), p. 212 - 229 18 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Approximates 100%
  • Taylor Series 100%
  • Kelvin 100%
  • Summation 100%
  • Singularities 100%
  2 Citations (Scopus)

• The summation of series in several variables and its applications in fluid dynamics

  Khan, M., Drazin, P. & Tourigny, Y., Jul 2003, In: Fluid Dynamics Research. 33 (1-2), p. 191 - 205 15 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Summation 100%
  • Several Variables 100%
  • Fluid Dynamics 100%
  • Algebraic Equation 50%
  • Channel Flow 50%
  5 Citations (Scopus)
• 2002

  The dynamics of Padé approximation

  Tourigny, Y. & Drazin, P., May 2002, In: Nonlinearity. 15 (3), p. 787 - 805 19 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Continued Fraction 100%
  • Real Number 100%
  • Formal Power Series 50%
  • Padé Approximants 50%
  • Gauss Map 50%
  7 Citations (Scopus)
• 2000

  The asymptotic behaviour of algebraic approximants

  Tourigny, Y. & Drazin, P., 2000, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 456, p. 1117 - 1137

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  23 Citations (Scopus)
• 1998

  A new moving mesh method for the finite element solution of variational problems

  Tourigny, Y. & Hulsemann, F., 1998, In: SIAM Journal on Numerical Analysis. 35, p. 1416 - 1438

  Research output: Contribution to journal › Article (Academic Journal) › peer-review
• 1997

  Analysis of an algorithm for generating locally optimal meshes for L₂ approximation by discontinuous piecewise polynomials

  Tourigny, Y. & Baines, M., 1997, In: Mathematics of Computation. 66, p. 623 - 650

  Research output: Contribution to journal › Article (Academic Journal) › peer-review
• 1996

  Extending the utility of perturbation series in problems of waves and stability

  Drazin, P. & Tourigny, Y., 1996, In: Rendiconti Circulo Matematico Palermo, Supplemento. 45, p. 209 - 219

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

• Numerical study of bifurcations by analytic continuation of a function defined by a power series

  Drazin, P. & Tourigny, Y., 1996, In: SIAM Journal on Applied Mathematics. 58, p. 1 - 18

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  41 Citations (Scopus)

• The numerical analysis of spontaneous singularities in nonlinear evolution equations

  Tourigny, Y., 1996, Numerical Analysis. Griffiths, D. & Watson, G. (eds.). World Scientific Publishing Co., p. 355 - 370

  Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book
• 1994

  Deciphering singularities by discrete methods

  Tourigny, Y. & Grinfeld, M., 1994, In: Mathematics of Computation. 62, p. 155 - 169 14 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  12 Citations (Scopus)

• Some pointwise estimates for the finite element solution of a radial nonlinear Schrodinger equation on a class of nonuniform grids

  Tourigny, Y., 1994, In: Numerical Methods for Partial Differential Equations. 10, p. 757 - 769 12 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  5 Citations (Scopus)
• 1992

  The numerical study of blow-up with application to a nonlinear Schrodinger equation

  Tourigny, Y. & Sanz-Serna, J., 1992, In: Journal of Computational Physics. 102, p. 407 - 416 9 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review
• 1991

  Approximation of radial functions by piecewise polynomials onarbitrary grids

  Tourigny, Y., Sanz-Serna, J. & Morris, J., 1991, In: Numerical Methods for Partial Differential Equations. 7, p. 1 - 8 7 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

• Optimal H^1 estimates for two time-discrete Galerkin approximations ofa nonlinear Schrodinger equation

  Tourigny, Y., 1991, In: IMA Journal of Numerical Analysis. 11, p. 509 - 523 14 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

• The finite element method with nodes moving along the characteristics for convection-diffusionequations

  Tourigny, Y. & Suli, E., 1991, In: Numerische Mathematik. 59, p. 399 - 412 13 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review
• 1990

  Product approximation for nonlinear Klein-Gordon equations

  Tourigny, Y., 1990, In: IMA Journal of Numerical Analysis. 10, 3, p. 449-462 14 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  45 Citations (Scopus)
• 1988

  An investigation into the effect of product approximation in the numerical solution of the cubic nonlinear Schroedinger equation

  Tourigny, Y. & Morris, J. L., 1988, In: Journal of Computational Physics. 76, 1, p. 103-130 28 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review