Papers and preprints

*A direct
method to find Stokes multipliers in closed form for P1 and
more general integrable systems.*
with O. Costin
and M. Huang.

Transactions of the AMS (to appear)

* **Tronquée
solutions of the Painlevé equation P1**.*
with O. Costin,
and M. Huang.

Constr. Approx. 41(2015), no. 3, 467-494

*Explicit derivation
of return maps for planar vector fields with nilpotent
linear part with a center or a focus.*

Anal. Appl.(Singap.) 11(2013),no.3, 17pp

Orthogonality
of Jacobi and Laguerre polynomials for general parameters via
the Hadamard finite part,

J. Approx. Theory 162 (2010), no. 1, 141--152.

Differential
systems with Fuchsian linear part: correction and linearization,
normal forms and multiple orthogonal polynomials.

J. Differential Equations 247 (2009), no. 7, 2074--2093.

Int. J. Math. Math. Sci. 2009, Art. ID 590856, 11 pp.

A
class of matrix-valued polynomials generalizing Jacobi
Polynomials,

J. Approx. Theory 161 (2009), no. 2, 787--801.

Matrix
valued polynomials generated by the scalar-type Rodrigues'
formulas,

J. Approx. Theory, 161 (2009), no. 2, 693--705

Nonlinear
perturbations of Fuchsian systems: corrections and
linearization, normal forms,

Nonlinearity 21, (2008), no.9, 2073-2082.

Analytic
linearization of nonlinear perturbations of Fuchsian systems,

Nonlinearity 21, (2008), no.9, 2083-2095

Power
and exponential-power series solutions of evolution
equations

Ann. Fac. Sci. Toulouse Math. (6) 13
(2004), no. 4, 551--573 pdf

*Time asymptotics of the Schrodinger wave
function in time-periodic potentials
(with O. Costin, J Lebowitz, J.Stat.Phys., special issue
dedicated to Elliott Lieb on the occasion of his 70th birthday,
1-4, 283-310 (2004) *

*
**Rigorous estimates
of Stokes constants
for some nonlinear differential equations with rank one
irregular
singularity
(with M. Kohut, O. Costin; *

*Nonintegrability criteria for a
class of differential
equations with
two regular singular points*

(with M. D. Kruskal; Nonlinearity, 16 (2003), no. 4,
1295--1317) .pdf

*Failure of analytic
hypoellipticity in a class of PDOs*

(with O. Costin; Ann. Sc. Norm. Super. Pisa Cl.
Sci. (5) 2 (2003), no. 1, 21--45.)

* Asymptotic properties of a
family
of solutions of the Painleve equation PVI*

(with O. Costin; Int. Math. Res. Not. 2002, no. 22,
1167--1182.)

* Transition to the continuum of a
particle in time-periodic potentials*

(with O. Costin, J L Lebowitz; Advances in
Differential
Equations and Mathematical Physics, AMS Contemporary
Mathematics series
ed. Karpeshina, Stolz, Weikard, and Zeng 2003)

* Evolution of a model quantum
system
under time periodic forcing: conditions for complete
ionization*

(With O. Costin, A. Rokhlenko and J.
Lebowitz;
Comm. Math. Phys. **221**, 1 pp 1--26 (2001))

* Nonperturbative analysis of a
model
quantum system under time periodic forcing*

(With O. Costin, A. Rokhlenko and J. Lebowitz;
Comptes
Rendus Acad. Sci. Serie I, __332__ 5 pp 405--411 (2001))

* On the formation of singularities
of
solutions of nonlinear differential systems in
antistokes
directions*

(with O. Costin, Inventiones Mathematicae **145**,
3, pp 425-485 (2001) )

* Singular
normal
form for the Painleve equation P1*

(with O. Costin, Nonlinearity Vol 11,
No. 5
pp. 1195-1208 (1998))

*
Integrability Properties of
Nonlinearly
Perturbed Euler Equations*

(Nonlinearity Vol. 10 No 4 pp. 905-924 (1997))

*Integrability
Properties
of a Generalized Lame
Equation;
Applications to the Henon-Heiles System*

(Meth.Appl.An., Vol 4 No 2, pp. 113-123 (1997) )
.pdf

*
Rigorous WKB for finite order linear recurrence relations
with
smooth
coefficients*

(with O. Costin, SIAM.J.Math.Anal. v27 no1
(1996))

* J. Stat.Phys.59 5/6
*

* J. Stat.Phys.64 1/2
*

* On some
linearization methods of the generalized flow rate
characteristic of the hydraulic servomechanisms
(with Ursu, I., F. Popescu,
M. Vladimirescu,
Revue Roumaine des Sciences
Techniques, Série de Mécanique Appliquée,
Vol. 39,
No. 2,
pp. 207-21 (1994))*

(in Romanian, with Ursu, I, M. Besliu,