Zobrazeno 1 - 10
of 305
pro vyhledávání: '"39B12"'
Autor:
Morawiec, Janusz, Zürcher, Thomas
It is well-known that the Lebesgue measure is the unique absolutely continuous invariant probability measure under the $p$-adic transformation. The purpose of this paper is to characterize the family of all invariant probability measures under the $p
Externí odkaz:
http://arxiv.org/abs/2412.06406
Autor:
Kei, Beauduin
In this paper, we present five different formulas for both discrete and fractional iterations of an invertible power series $f$ utilizing a novel and unifying approach from umbral calculus. Established formulas are extended, and their proofs simplifi
Externí odkaz:
http://arxiv.org/abs/2409.09809
Autor:
Beauduin, Kei
In this paper, we explore the effectiveness of almost purely operational methods in the study of umbral calculus. To accomplish this goal, we systematically reconstruct the theory operationally, offering new proofs and results throughout. Our approac
Externí odkaz:
http://arxiv.org/abs/2407.16348
Autor:
N, Athira, C, Lineesh M
A systematic and comprehensive study of p-adic refinement equations and subdivision scheme associated with a finitely supported refinement mask are carried out in this paper. The Lq -convergence of the subdivision scheme is characterized in terms of
Externí odkaz:
http://arxiv.org/abs/2406.06628
Autor:
Morawiec, Janusz, Zürcher, Thomas
The following MW--problem was posed independently by Janusz Matkowski and Jacek Weso{\l}owski in different forms in 1985 and 2009, respectively: Are there increasing and continuous functions $\varphi\colon [0,1]\to [0,1]$, distinct from the identity
Externí odkaz:
http://arxiv.org/abs/2405.12032
In this paper we deal with an equation in nonlinear combination of iterates. Although it can be reduced by the logarithm conjugacy to a form for application of Schauder's or Banach's fixed point theorems, a difficulty called Zero Problem is encounter
Externí odkaz:
http://arxiv.org/abs/2401.06420
Autor:
Jarczyk, Witold, Pasteczka, Paweł
Given a set $T \subset (0, +\infty)$, intervals $I\subset (0, +\infty)$ and $J\subset {\mathbb R}$, as well as functions $g_t:I\times J\rightarrow J$ with $t$'s running through the set \[ T^{\ast}:=T \cup \big\{t^{-1}\colon t \in T\big\}\cup\{1\} \]
Externí odkaz:
http://arxiv.org/abs/2311.09927
Autor:
Reppekus, Josias
In this manuscript we systematically review known results of local dynamics of discrete local holomorphic dynamics near fixed points in one and several complex variables as well as the consequences in global dynamics.
Externí odkaz:
http://arxiv.org/abs/2309.05824
Autor:
Grünwald, Richárd, Páles, Zsolt
Publikováno v:
Acta Math. Hungar. 166(2) 2022, 594-613
The purpose of this paper is to investigate the following invariance equation involving two $2$-variable generalized Bajraktarevi\'c means, i.e., we aim to solve the functional equation $$ f^{-1}\bigg(\frac{p_1(x)f(x)+p_2(y)f(y)}{p_1(x)+p_2(y)}\bigg)
Externí odkaz:
http://arxiv.org/abs/2303.10997
Autor:
Peran, Dino
We give normal forms for strongly hyperbolic logarithmic transseries f = z^r + ... (r is a positive real number nonequal to 1), with respect to parabolic logarithmic normalizations. These normalizations are obtained using fixed point theorems, and ar
Externí odkaz:
http://arxiv.org/abs/2302.14527