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On roots of unity in orbits of rational functions

Proceedings of the American Mathematical Society, 2017-05, Vol.145 (5), p.1927-1936

OSTAFE, ALINA

2017

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On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics

Transactions of the American Mathematical Society, 2020-03, Vol.373 (3), p.2191-2206

2020

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Discriminants of fields generated by polynomials of given height

Israel journal of mathematics, 2024, Vol.260 (1), p.73-103

2024

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Dynamical irreducibility of polynomials modulo primes

Mathematische Zeitschrift, 2021-08, Vol.298 (3-4), p.1187-1199

2021

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Pseudorandomness and Dynamics of Fermat Quotients

SIAM journal on discrete mathematics, 2011-01, Vol.25 (1), p.50-71

2011

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Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems

Transactions of the American Mathematical Society, 2019-02, Vol.371 (2), p.1169-1198

2019

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Corrigendum: On a problem of Lang for matrix polynomials: Bull. London Math. Soc. 54 (2022), 1552–1567

The Bulletin of the London Mathematical Society, 2023-08, Vol.55 (4), p.2086-2086

Ostafe, Alina

2023

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Corrigendum: On a problem of Lang for matrix polynomials

The Bulletin of the London Mathematical Society, 2023-08, Vol.55 (4), p.2086-2086

Ostafe, Alina

2023

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Structure of Pseudorandom Numbers Derived from Fermat Quotients

Arithmetic of Finite Fields, p.73-85

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On a problem of Lang for matrix polynomials

The Bulletin of the London Mathematical Society, 2022-10, Vol.54 (5), p.1552-1567

Ostafe, Alina

2022

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Polynomial values in affine subspaces of finite fields

Journal d'analyse mathématique (Jerusalem), 2019-07, Vol.138 (1), p.49-81

Ostafe, Alina

2019

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Orbits of polynomial dynamical systems modulo primes

Proceedings of the American Mathematical Society, 2018-05, Vol.146 (5), p.2015-2025

2018

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On some extensions of the Ailon–Rudnick theorem

Monatshefte für Mathematik, 2016-10, Vol.181 (2), p.451-471

Ostafe, Alina

2016

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Algebraic entropy, automorphisms and sparsity of algebraic dynamical systems and pseudorandom number generators

Mathematics of computation, 2014-05, Vol.83 (287), p.1535-1550

2014

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On the length of critical orbits of stable quadratic polynomials

Proceedings of the American Mathematical Society, 2010-08, Vol.138 (8), p.2653-2656

2010

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On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators

Mathematics of computation, 2010-01, Vol.79 (269), p.501-511

2010

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Cyclotomic and abelian points in backward orbits of rational functions

Advances in mathematics (New York. 1965), 2024-02, Vol.438, p.109463, Article 109463

2024

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On the Waring problem with Dickson polynomials in finite fields

Proceedings of the American Mathematical Society, 2011-11, Vol.139 (11), p.3815-3820

2011

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Counting embeddings of free groups into $\mathrm{SL}_2(\mathbb{Z})$ and its subgroups

Annali della Scuola normale superiore di Pisa, Classe di scienze, 2024-03, p.12

2024

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On the quantitative dynamical Mordell–Lang conjecture

Journal of number theory, 2015-11, Vol.156, p.161-182

2015

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Statistics of ranks, determinants and characteristic polynomials of rational matrices

Forum mathematicum, 2024-10

2024

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Multiplicative and Linear Dependence in Finite Fields and on Elliptic Curves Modulo Primes

International mathematics research notices, 2022-10, Vol.2022 (20), p.16094-16137

2022

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On sparsity of representations of polynomials as linear combinations of exponential functions

Journal of the London Mathematical Society, 2022-06, Vol.105 (4), p.2076-2103

2022

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Pseudorandom vector sequences of maximal period generated by triangular polynomial dynamical systems

Designs, codes, and cryptography, 2012-04, Vol.63 (1), p.59-72

Ostafe, Alina

2012

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Algebraic Curves and Finite Fields: Cryptography and Other Applications

1st edition., 2014

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On roots of unity in orbits of rational functions

On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics

Discriminants of fields generated by polynomials of given height

Dynamical irreducibility of polynomials modulo primes

Pseudorandomness and Dynamics of Fermat Quotients

Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems

Corrigendum: On a problem of Lang for matrix polynomials: Bull. London Math. Soc. 54 (2022), 1552–1567

Corrigendum: On a problem of Lang for matrix polynomials

Structure of Pseudorandom Numbers Derived from Fermat Quotients

On a problem of Lang for matrix polynomials

Polynomial values in affine subspaces of finite fields

Orbits of polynomial dynamical systems modulo primes

On some extensions of the Ailon–Rudnick theorem

Algebraic entropy, automorphisms and sparsity of algebraic dynamical systems and pseudorandom number generators

On the length of critical orbits of stable quadratic polynomials

On the degree growth in some polynomial dynamical systems and nonlinear pseudorandom number generators

Cyclotomic and abelian points in backward orbits of rational functions

On the Waring problem with Dickson polynomials in finite fields

Counting embeddings of free groups into $\mathrm{SL}_2(\mathbb{Z})$ and its subgroups

On the quantitative dynamical Mordell–Lang conjecture

Statistics of ranks, determinants and characteristic polynomials of rational matrices

Multiplicative and Linear Dependence in Finite Fields and on Elliptic Curves Modulo Primes

On sparsity of representations of polynomials as linear combinations of exponential functions

Pseudorandom vector sequences of maximal period generated by triangular polynomial dynamical systems

Algebraic Curves and Finite Fields: Cryptography and Other Applications

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