Results 21 to 30 of about 63 (61)
Journal of the London Mathematical Society, Volume 102, Issue 1, Page 143-204, August 2020., 2020 Abstract Let G=SL(2,R)⋉(R2)⊕k and let Γ be a congruence subgroup of SL(2,Z)⋉(Z2)⊕k. We prove a polynomially effective asymptotic equidistribution result for special types of unipotent orbits in Γ∖G which project to pieces of closed horocycles in SL(2,Z)∖SL(2,R).
Andreas Strömbergsson, Pankaj Vishe
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Location of zeros for the partition function of the Ising model on bounded degree graphs
Journal of the London Mathematical Society, Volume 101, Issue 2, Page 765-785, April 2020., 2020 Abstract The seminal Lee–Yang theorem states that for any graph the zeros of the partition function of the ferromagnetic Ising model lie on the unit circle in C. In fact, the union of the zeros of all graphs is dense on the unit circle. In this paper, we study the location of the zeros for the class of graphs of bounded maximum degree d⩾3, both in the ...
Han Peters, Guus Regts
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Topological mixing properties of rank‐one subshifts
Transactions of the London Mathematical Society, Volume 6, Issue 1, Page 1-21, December 2019., 2019 Abstract We study topological mixing properties and the maximal equicontinuous factor of rank‐one subshifts as topological dynamical systems. We show that the maximal equicontinuous factor of a rank‐one subshift is finite. We also determine all the finite factors of a rank‐one shift with a condition involving the cutting and spacer parameters. For rank‐
Su Gao, Caleb Ziegler
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Faà di Bruno′s formula and nonhyperbolic fixed points of one‐dimensional maps
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 29, Page 1543-1549, 2004., 2004 Fixed‐point theory of one‐dimensional maps of ℝ does not completely address the issue of nonhyperbolic fixed points. This note generalizes the existing tests to completely classify all such fixed points. To do this, a family of operators are exhibited that are analogous to generalizations of the Schwarzian derivative. In addition, a family of functions
Vadim Ponomarenko
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Dynamics of Newton′s functions of Barna′s polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 2, Page 79-84, 2002., 2002 We define Barna′s polynomials as real polynomials with all real roots of which at least four are distinct. In this paper, we study the dynamics of Newton′s functions of such polynomials. We also give the upper and lower bounds of the Hausdorff dimension of exceptional sets of these Newton′s functions.
Piyapong Niamsup
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Topological conjugacies of piecewise monotone interval maps
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 2, Page 119-127, 2001., 2001 Our aim is to establish the topological conjugacy between piecewise monotone expansive interval maps and piecewise linear maps. First, we are concerned with maps satisfying a Markov condition and next with those admitting a certain countable partition. Finally, we compute the topological entropy in the Markov case.
Nikos A. Fotiades, Moses A. Boudourides
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Dynamics of a certain sequence of powers
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 4, Page 283-288, 2000., 2000 For any nonzero complex number z we define a sequence a1(z) = z, a2(z)=za1(z),…,an+1(z)=zan(z), n ∈ ℕ. We attempt to describe the set of these z for which the sequence {an(z)} is convergent. While it is almost impossible to characterize this convergence set in the complex plane 𝒞, we achieved it for positive reals.
Roman Sznajder, Kanchan Basnyat
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On the speed of convergence of iteration of a function
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 31-36, 1994., 1993 Let fn(x) be the nth iterate of a function in some interval [0, c]. It is known that if f(x) ~ x − xα, α > 1, then fn(x) ~ Ana for some A and a. In this paper we prove a converse of this theorem: The rate of convergence of the iterates determines the form of a function.
Vladimir Drobot
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On Functions with Monotonic Differences
Annales Mathematicae SilesianaeMotivated by the Szostok problem on functions with monotonic differences (2005, 2007), we consider a-Wright convex functions as a generalization of Wright convex functions.
Rajba Teresa
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Fixed points and iterations of mean-type mappings
Open Mathematics, 2012 Matkowski Janusz
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