Online papers

1. Semiclassical analysis of low and zero energy scattering for one dimensional Schrodinger operators with inverse square potentials (with O. Costin, W. Schlag, W. Staubach, submitted) arXiv
2. An Integral equation Approach to Smooth 3-D Navier-Stokes Solution (with O. Costin, G. Luo, to appear)
3. Integral equation representation and longer time existence solutions of 3-d Navier-Stokes (With G. Luo and S. Tanveer, submitted)
4. Divergent expansions, Borel summability and the 3-D Navier-Stokes Equation (With G. Luo and S. Tanveer, Phil. Trans. R. Soc. A 366, pp 2775-2788 (2008)pdf
5. Global  reconstruction of analytic functions from local expansions and a new generalmethod of converting sums into integrals (submitted)  pdf
   
6. Sharp Hardy-Leray inequality for axisymmetric divergence-free fields (with V. Maz'ya, to appear in Calculus of Variations and P.D.E.)  pdf
   
7. Resurgence of the Euler-Maclaurin summation formula (with S. Garoufalidis, to appear in Annales de l'Institut Fourier)  pdf
   
8. Borel summability of the Navier-Stokes equation in R^3 and small time exstence (with S. Tanveer, ArXiV link,  pdf)
   
9. Ionization of Coulomb systems in R^3 by time periodic forcing of arbitrary size (with J. L. Lebowitz and S. Tanveer, ArXiV link,  pdf)
10. Resurgence of the Kontsevitch-Zagier power series (with S. Garoufalidis, to appear in Annales de l'Institut Fourier) pdf
11. On the proof of universality for orthogonal and symplectic ensembles in random matrix theory (with P. Deift and D. Gioev J. Stat. Phys. 129 (2007), no. 5-6, 937--948) pdf
12. Ionization in a 1-dimensional dipole model (with J. L. Lebowitz and C. Stucchio, submitted) pdf
13. Borel summability and Lindstedt series
                   (with G. Gallavotti, G. Gentile and A. Giuliani, Comm. Math. Phys. v.269, 1; 175--193 (2007))  pdf
14. Nonlinear Stokes phenomena in first or second order differential equations (Algebraic Analysis of Differential Equations, T. Aoki, H. Majima, Y. Takei & N. Tose (Eds.), Springer (2008)) pdf
15. Nonlinear evolution  PDEs in :  existence and uniqueness of solutions, asymptotic and Borel summability
    (with Saleh Tanveer, Ann. Inst. H. Poincaré Anal. Non Linéaire 24, no. 5, pp. 795--823 (2007))  pdf
16. Singularity barriers and Borel plane analytic properties of 1+ difference equations
                   ( Recent Trends in Exponential Asymptotics, Publ. RIMS 1424, (2005))  pdf
17. Complex Singularity Analysis for a nonlinear PDEs
                   (with S Tanveer, Comm. Partial Differential Equations 31, no. 4-6, 593--637 (2006))   pdf
18. Analytic methods for obstruction to integrability in discrete dynamical systems
                   (with M. Kruskal, Comm. Pure Appl. Math. 58 (2005), no. 6, 723--749)  pdf
19. Analyzable functions and Applications, AMS Contemporary Mathematics, vol 373
                   (with M. Kruskal and A. Macintyre (editors)) 
20. Topological construction of transseries and introduction to generalized Borel summability (AMS CONM series vol. 373, 137--177)   pdf
21. On the Construction of Particle Distributions with Specified Single and Pair Densities
                   (with J. L. Lebowitz, J. Phys. Chem. B.; 2004; 108(51); 19614-19618)  pdf
22. Analyzability in the context of PDEs and applications 
                    (with Saleh Tanveer; Annales Fac. Sci. Toulouse, V XIII, Fasc. 4, pp.539--549 (2004); pdf
23. Time asymptotics of the Schrödinger wave function in time-periodic potentials    
                      (with R D Costin and J L Lebowitz, J. Stat. Phys., special issue dedicated to Elliott Lieb on the occasion of his 70th birthday, 1--4 283-310 (2004).  pdf
24. Failure of analytic hypoellipticity in a class of PDOs  
                      (with R. D. Costin, Annali della Scuola Normale Superiore di Pisa, Serie V. Vol II. Fasc. I (2003)) pdf
25. Transition to the continuum of a particle in time-periodic potentials, 
                     (with R. D. Costin and J L Lebowitz in Advances in Differential Equations and Mathematical Physics,
                     AMS Contemporary Mathematics series ed. Karpeshina, Stolz, Weikard, and Zeng 2003)  pdf
26. Borel summation of adiabatic invariants (with  L. Dupaigne and M. D. Kruskal, Nonlinearity  17  No 4 1509-1519 (2004) ) pdf
27. Rigorous bounds of Stokes constants for some nonlinear ODEs at rank one irregular singularities 
                  (with R. D. Costin and M Kohut,  Proc. R. Soc. Lond. A 460, 363--3641 (2004).) pdf
28. Decay versus survival of a localized state subjected to harmonic forcing: exact results
                      (with  J L Lebowitz and A Rokhlenko, J. Phys. A: Math. Gen. 35, pp 8943-8951 (2002)) pdf
29. Movable singularities of solutions of difference equations in relation to solvability and a study of a superstable fixed point 
                  (with M D Kruskal,  Theoretical and Mathematical Physics, 133 (2): 1455-1462 (2002))  .pdf
30. Asymptotic properties of a family of solutions of the Painleve equation PVI 
                      (with R D Costin,  IMRN No 22 pp 1167-1182 (2002)) .pdf
31. On the formation of singularities of solutions of  nonlinear differential systems in antistokes directions  
                      (with R. D. Costin,  Inventiones Mathematicae 145, 3, pp 425-485 (2001)) .pdf    (Copyright owned by Inventiones)
32. Evolution of a model quantum system under time periodic forcing: conditions for complete ionization 
                      (With R. D. Costin,  A. Rokhlenko and J. Lebowitz; Comm. Math. Phys.  221, 1 pp 1-26 (2001)) pdf
33. Existence and uniqueness of solutions of nonlinear evolution systems of n-th order
                    partial differential  equations in the complex plane (with S. Tanveer)  .pdf
34. Resonance Theory for Schrödinger Operators (with A. Soffer; Commun. Math. Phys. 224 (2001)) pdf
35. Nonperturbative analysis of a model quantum system under time periodic forcing 
                      (With R. D. Costin, A. Rokhlenko and J. Lebowitz; Comptes Rendus Acad. Sci. Serie I, 332 5 pp 405-411 (2001)) pdf
36. Existence and uniqueness for a class of nonlinear higher-order partial differential equations in the complex plane
                      (with Saleh Tanveer. Communications on Pure and Applied Mathematics, Vol. LIII, 0001- 0026 (2000)) pdf
37. Exact Results for the Ionization of a Model Quantum System
                      (with A. Rokhlenko and J. Lebowitz) J. Phys. A: Math. Gen.  33 pp. 1--9 (2000) pdf
38. On the complete ionization of a periodically perturbed  quantum system
                       (with A. Rokhlenko and J. Lebowitz) (CRM  Proceedings and Lecture Notes 27 pp 51--61 (2001)) pdf
39. On optimal truncation of divergent series solutions of nonlinear differential systems; Berry smoothing.
                       (with Martin D. Kruskal, Proc. R. Soc. Lond. A  455, 1931-1956 (1999)  .pdf
40. Correlation between pole location and asymptotic behavior for Painlevé I solutions 
                        (Comm.  Pure and Appl. Math. Vol. LII, 0461-0478 (1999)) .ps.gz .dvi.gz
41. Singular normal form for the Painleve equation P1
                         (with R. D. Costin,  Nonlinearity  Vol 11, No. 5 pp.  1195-1208 (1998))  .pdf
42. On Borel summation and Stokes phenomena of nonlinear differential systems
                        ( Duke Math. J. vol 93, No2 (1998)) .ps.gz dvi.gz
43. Optimal uniform estimates and rigorous asymptotics beyond all orders for a class of ODE's
                        (with Martin D. Kruskal, Proc. Roy. Soc. Lond. 452 (1996)) .ps.gz
44. Rigorous WKB for finite order linear recurrence relations with smooth coefficients
                        (with R.D. Costin, SIAM.J.Math.Anal. v27 no1 (1996)) .ps.gz (or abstract jpg )
45. Exponential asymptotics, transseries, and generalized Borel summation for analytic rank one systems of ODE's  
                        (IMRN 8, (1995)) .ps.gz
46. Gaussian fluctuations in random matrices
                       (with Joel Lebowitz, Phys.Rev.Lett v 75  no 1 (1995)) pdf
47. Limit probability distributions for an infinite order phas transition model
                       J. Stat.Phys.64 1/2 jpg (abstract)
48. Infinite order phase transition in a classical spin system
                       J. Stat.Phys.59 5/6 jpg (abstract)
49. The infinite coordinationl limit for classical spin systems on irregular lattices 
                       J. Phys. A:Math.Gen.19 jpg (abstract)