Fedor Pakovich
Email: pakovich
at math dot bgu dot ac dot il
Preprints
Functional
equations in branched covering maps,
pdf
Complex
Analysis and Existence Problems for plane Graphs, pdf
On intersections of fields of rational
functions, pdf
Holomorphic maps sharing preimages over
finitely generated fields, pdf
On interwined
polynomials, pdf
Periodic
curves for general endomorphisms of CP1×CP1. pdf
Rational
functions sharing preimages and height functions. pdf
Hurwitz
existence problem and fiber products. pdf
Publications
Algebraic functions with
infinitely many values in a number field, J. Théor. Nombres Bordeaux, 38
(2026), 515–531. pdf
On dessins d'enfants with equal supports, J. Math. Sci. (N.Y.), 296, 445–450 (2026). pdf
Right amenability in
semigroups of formal power series, Groups Geom. Dyn. 20 (2026), no. 1, 205–214. pdf
On symmetries of iterates of rational functions, Ann. Sc. Norm. Super.
Pisa Cl. Sci. (5) Vol. XXVI (2025), 1677-1701. pdf
Lower bounds
for genera of fiber products, Israel. J. Math., 269 (2025), 475–500. pdf
On iterates of
rational functions with maximal number of critical values, J. Anal. Math.,
156 (2025), no. 1, 213–251.
pdf
On
intersection of lemniscates of rational functions (with Orevkov), Arnold Math.
J., Vol. 11 , no. 1, 2025, 7–26. pdf
On algebraic dependencies between Poincaré functions, Ergodic Theory Dynam.
Systems,, 45 (2025), no. 3, 915–935. pdf
Semigroups of rational functions: some
problems and conjectures, Panor. Synthèses, 2024, 89–104. pdf
Functional
equations in formal power series, Ann. Fen. Mat. 49 (2024), no. 2, 601-620. 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