Fedor Pakovich
Email: pakovich at math dot bgu dot ac dot il
Preprints
Hurwitz existence problem and fiber products. pdf
Right amenability in semigroups of formal power series. pdf
Publications
Functional equations in formal power series, to appear in Ann. Fen. Mat. pdf
On intersection of lemniscates of rational functions (with Orevkov), to appear in Arnold Math. J. pdf
On iterates of rational functions with maximal number of critical values, to appear in J. Anal. Math. pdf
On symmetries of iterates of rational functions, to appear in Ann. Sc. Norm. Super. Pisa. pdf
Lower bounds for genera of fiber products, to appear in Israel. J. Math. pdf
Semigroups of rational functions: some problems and conjectures, to appear in Panoramas et Synthèses ("Morlet volume"). pdf
On algebraic dependencies between Poincaré functions, Ergod. Th. Dynam. Sys., on line first. pdf
Integrability of matrices (with Danielyan, Guterman, and Kreines), Linear Algebra Appl. 684 (2024), 37-62. pdf
Tame rational functions: Decompositions of iterates and orbit intersections, J. Eur. Math. Soc., (JEMS) 25 (2023), no. 10, 3953-3978. pdf
Invariant curves for endomorphisms of P1×P1, Math. Ann. 385 (2023), no. 1-2, 259-307. pdf
On amenable semigroups of rational functions, Trans. Amer. Math. Soc. 375 (2022), no. 11, 7945-7979. pdf
Sharing a measure of maximal entropy in polynomial semigroups, Int. Math. Res. Not. IMRN 2022, no. 18, 13829-13840. pdf
Commuting rational functions revisited, Ergodic Theory Dynam. Systems, 41 (2021), no. 1, 295 - 320. pdf
On generalized Lattès maps, J. Anal. Math., 142 (2020), no. 1, 1-39. pdf
On rational functions sharing the measure of maximal entropy, Arnold Math. J., 6, 387-396 (2020). pdf
Finiteness theorems for commuting and semiconjugate rational functions, Conform. Geom. Dyn., 24 (2020), 202-229. pdf
Level curves of rational functions and unimodular points on rational curves, (with I. Shparlinski), Proc. Amer. Math. Soc. 148 (2020), 1829-1833. pdf
Davenport - Zannier Polynomials and Weighted Trees (book) (with N. Adrianov and A. Zvonkin), Mathematical Surveys and Monographs 249, American Mathematical Society, Providence, 2020. pdf
Algebraic curves Aol(x)-U(y)=0 and arithmetic of orbits of rational functions, Mosc. Math. J., Vol. 20 (2020), no 1, 153-183. pdf
On mutually semiconjugate rational functions, Arnold Math. J., (2019) 5:339-354. pdf
Recomposing rational functions, Int. Math. Res. Not., 2019, no. 7, 1921-1935. pdf
Semiconjugate rational functions: a dynamical approach, Arnold Math. J., 4 (2018), no. 1, 59-68. pdf
On rational functions whose normalization has
genus zero or one,
Acta. Arith., 182 (2018) , 73-100. pdf
On algebraic curves A(x)-B(y)=0 of genus zero,
Math. Z., Vol. 288, Issue 1, (2018), 299-310. pdf
Davenport-Zannier Polynomials over Q,
(with. A. Zvonkine),
Int. J. Number Theory, 14 (2018), no. 4,
925-974. pdf
Polynomial
semiconjugacies, decompositions of iterations, and invariant curves,
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), Vol. XVII (2017),
1417-1446. pdf
Solution of the
parametric Center Problem for Abel Equation,
J. Eur. Math. Soc.,
19 (2017), no. 8, 2343-2369. pdf
On decompositions of trigonometric
polynomials,
Israel J. Math., 217 (2017), 337-353. pdf
On semiconjugate rational functions,
Geom.
Funct. Anal., 26 (2016), 1217-1243. pdf
Algebraic Geometry of the Center-Focus problem
for Abel Differential Equation,
(with Y. Yomdin, M. Briskin),
Ergodic Theory and Dynam. Sys.,Volume 36, Issue 3, (2016)
714-744. pdf
Parametric Center-Focus Problem for Abel
Equation, (with Y. Yomdin, M. Briskin),
Qual. Theory Dyn. Syst.,
, (2014) 13:289-303. pdf
Weak and strong composition conditions for the
Abel differential equation,
Bull. Sci. Math., 138 (2014),
993-998. pdf
Minimum Degree of the Difference of Two
Polynomials over Q and Weighted Plane Trees,
(with. A. Zvonkine),
Selecta Math., 20, no. 4 (2014), 1003-1065. pdf
Moments on Riemann surfaces and hyperelliptic
Abelian integrals,
(with L. Gavrilov),
Comm. Math. Helvetici,
89, No 1, (2014) pp. 125-155. pdf
On rational functions orthogonal to all powers
of a given rational function on a curve,
Moscow Math. Journal,
Volume 13, Issue 4, (2013) 693-731. pdf
Generalized "second Ritt theorem" and
explicit solution of the polynomial moment problem,
Compositio
Math. 149 (2013), 705-728. pdf
Algebraic curves P(x)-Q(y)=0 and functional
equations,
Complex Var. and Elliptic Equ., 56 (2011), no.
1-4, 199-213. pdf
Moment Vanishing Problem and Positivity: Some
Examples
(with J. P. Francoise, Y. Yomdin, W. Zhao),
Bull.
Sci. Math., 135 (2011), no. 1, 10-32. pdf
Jordan-Holder theorem for imprimitivity systems
and maximal decompositions of rational functions (with M.
Muzychuk),
Proc. Lond. Math. Soc., 102 (2011) , no. 1, 1-24.
pdf
Laurent polynomial moment problem: a case study
(with A. Zvonkin and C. Pech),
Contemp. Math., 532 (2010),
177-194. pdf
On the equation P(f)=Q(g), where P,Q are
polynomials and f,g are entire functions,
Amer. Journal of Math.,
132 (2010), no. 6, 1591-1607. pdf
Prime and composite Laurent polynomials,
Bull.
Sci. Math., 133 (2009), 693-732. pdf
Solution of the polynomial moment problem
(with M. Muzychuk).
Proc. Lond. Math. Soc., 99 no. 3, 633-657
(2009). pdf
Solution of the Hurwitz problem for Laurent
polynomials,
J. Knot Theory Ramifications, 18, No. 2, 271-302
(2009). pdf
On trees covering chains or stars,
J. Math.
Sci., New York, 158, No. 1, 148-154 (2009). pdf
Arithmetics of
conservative polynomials and yet another action of the group Gal(Q/Q)
on plane trees,
J. Théor. Nombres Bordeaux, 20, 205-218
(2008). pdf
On analogues of the theorems for rational
functions with at most two poles,
Russ. Math. Surv. 63, No. 2,
386-387 (2008). pdf
On polynomials sharing preimages of compact
sets, and related questions,
Geom. Funct. Anal, 18,
No. 1, 163-183 (2008). pdf
On the functional equation F(A(z))=G(B(z)),
where A,B are polynomial and F,G are continuous functions,
Math.
Proc. Cam. Phil. Soc., 143, No. 2, 469-472 (2007), pdf
Remark on the Chebotarev theorem about roots of
unity,
Integers 7 (2007), A18 (electronic). pdf
On polynomials orthogonal to all powers of a
given polynomial on a segment,
Bull. Sci. Math. 129 (2005),
749-774. pdf
Cauchy type integrals of Algebraic
functions
(with N. Roytvarf and Y. Yomdin),
Israel J. Math.,
Vol. 144 (2004), 221-291. pdf
On polynomials orthogonal to all powers of a
Chebyshev polynomial on a segment,
Israel J. Math., Vol. 142
(2004), 273-283. pdf
Polynomial moment problem,
Addendum to the
paper by Y. Yomdin,
Mosc. Math. J., 3(2003), no. 3,
1167-1195. pdf
On the polynomial
moment problem,
Math. Res. Lett., 10, no. 2-3, 401--410 (2003).
pdf
A counterexample to the ``composition
conjecture'',
Proc. Amer. Math. Soc. 130, 3747-3749 (2002).
pdf
On trees admitting morphisms onto hedgehogs or
onto chains,
Russ. Math. Surv. 55, No.3, 593-594
(2000). pdf
Combinatoire des
arbres planaires et arithmetique des courbes hyperelliptiques,
Ann.
Inst. Fourier 48, No.2, 323-351 (1998). pdf
A remark on complex polynomials of least
deviation
(with I. V. Ostrovskii and M. G. Zaidenberg),
Int.
Math. Res. Not. 1996, No.14, 699-703 (1996). pdf
Sur un probleme
d'unicite pour les functions meromorphes,
C. R. Acad. Sci., Paris
(Ser. I) 323, No.7, 745-748 (1996). pdf
Elliptics polynomials,
Russ.
Math. Surv. 50, No.6, 1292-1294 (1995). pdf
Locally nilpotent derivations
of polynomial rings,
Math. Notes 58, No.2, 890-891 (1995). pdf