We prove the topological (or combinatorial) rigidity property for real polynomials with all critical points real and nondegenerate, which completes the last step in solving the density of Axiom A conjecture in real one-dimensional dynamics
The paper is devoted to a special class of real polynomials, so-called T-polynomials, which arise in...
Abstract. Combinatorial rigidity theory seeks to describe the rigidity or flexibility of bar-joint f...
AbstractThis paper is primarily concerned with complex polynomials which have critical points which ...
This is an exposition of Our resent results contained in Kozlovski et al. (Rigidity for real polynom...
We prove combinatorial rigidity of infinitely renormalizable unicritical polynomials, P_c :z mapsto ...
The Fatou conjecture (or the HD conjecture) asserts that any rational function can be approximated b...
Abstract. We prove that any unicritical polynomial fc: z 7! zd + c which is at most nitely renormali...
We give an arithmetic proof of rigidity for postcritically finite polynomials of prime power degree
We prove that topologically conjugate non-renormalizable polynomials are quasi-conformally conjugate...
We extend and improve the existing characterization of the dynamics of general quadratic real polyno...
We study one-dimensional algebraic families of pairs given by a polynomial with a marked point. We p...
9 figuresWe study rigidity of rational maps that come from Newton's root finding method for polynomi...
Conjecture 0.1 (Conjecture of Blagovest Sendov (1958))For a complex polynomial of degree two or more...
Abstract. We describe a new and robust method to prove rigidity results in complex dynamics. The new...
We present an algebraic approach to the classical problem of constructing a simplicial convex polyto...
The paper is devoted to a special class of real polynomials, so-called T-polynomials, which arise in...
Abstract. Combinatorial rigidity theory seeks to describe the rigidity or flexibility of bar-joint f...
AbstractThis paper is primarily concerned with complex polynomials which have critical points which ...
This is an exposition of Our resent results contained in Kozlovski et al. (Rigidity for real polynom...
We prove combinatorial rigidity of infinitely renormalizable unicritical polynomials, P_c :z mapsto ...
The Fatou conjecture (or the HD conjecture) asserts that any rational function can be approximated b...
Abstract. We prove that any unicritical polynomial fc: z 7! zd + c which is at most nitely renormali...
We give an arithmetic proof of rigidity for postcritically finite polynomials of prime power degree
We prove that topologically conjugate non-renormalizable polynomials are quasi-conformally conjugate...
We extend and improve the existing characterization of the dynamics of general quadratic real polyno...
We study one-dimensional algebraic families of pairs given by a polynomial with a marked point. We p...
9 figuresWe study rigidity of rational maps that come from Newton's root finding method for polynomi...
Conjecture 0.1 (Conjecture of Blagovest Sendov (1958))For a complex polynomial of degree two or more...
Abstract. We describe a new and robust method to prove rigidity results in complex dynamics. The new...
We present an algebraic approach to the classical problem of constructing a simplicial convex polyto...
The paper is devoted to a special class of real polynomials, so-called T-polynomials, which arise in...
Abstract. Combinatorial rigidity theory seeks to describe the rigidity or flexibility of bar-joint f...
AbstractThis paper is primarily concerned with complex polynomials which have critical points which ...
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