Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Gaivao, Jose Pedro"'
Autor:
Gaivao, Jose Pedro, Pires, Benito
Piecewise contractions (PCs) are piecewise smooth maps that decrease distance between pair of points in the same domain of continuity. The dynamics of a variety of systems is described by PCs. During the last decade, a lot of effort has been devoted
Externí odkaz:
http://arxiv.org/abs/2405.08444
We study maps of the unit interval whose graph is made up of two increasing segments and which are injective in an extended sense. Such maps $f_{\p}$ are parametrized by a quintuple $\p$ of real numbers satisfying inequations. Viewing $f_{\p}$ as a c
Externí odkaz:
http://arxiv.org/abs/2212.10944
Autor:
Gaivão, José Pedro
Let $I=[0,1)$, $-1<\lambda<1$ and $f\colon I\to I$ be a piecewise $\lambda$-affine map of the interval $I$, i.e., there exist a partition $0=a_0
Externí odkaz:
http://arxiv.org/abs/2211.14140
Autor:
Gaivão, José Pedro, Pires, Benito
We investigate the time series generated by an elementary and deterministic financial process that consists in making monthly contributions to a savings account subjected to the devaluation by a monthly negative real interest rate. The monthly contri
Externí odkaz:
http://arxiv.org/abs/2206.11933
Autor:
Bessa, Mário, Del Magno, Gianluigi, Dias, João Lopes, Gaivão, José Pedro, Torres, Maria Joana
We show that there exists a $C^2$ open dense set of convex bodies with smooth boundary whose billiard map exhibits a non-trivial hyperbolic basic set. As a consequence billiards in generic convex bodies have positive topological entropy and exponenti
Externí odkaz:
http://arxiv.org/abs/2201.01362
Autor:
Bessa, Mário, Del Magno, Gianluigi, Lopes Dias, João, Gaivão, José Pedro, Torres, Maria Joana
Publikováno v:
In Advances in Mathematics April 2024 442
Autor:
Gaivão, José Pedro, Nogueira, Arnaldo
Let $I_1=[a_0,a_1),\ldots,I_{k}= [a_{k-1},a_k)$ be a partition of the interval $I=[0,1)$ into $k$ subintervals. Let $f:I\to I$ be a map such that each restriction $f|_{I_i}$ is an increasing Lipschitz contraction. We prove that any $f$ admits at most
Externí odkaz:
http://arxiv.org/abs/2007.08014
Autor:
Gaivão, José Pedro, Peixe, Telmo
Publikováno v:
Dynamic Games and Applications, published online, November 2020
The Rock-Paper-Scissors (RPS) game is a classic non-cooperative game widely studied in terms of its theoretical analysis as well as in its applications, ranging from sociology and biology to economics. Many experimental results of the RPS game indica
Externí odkaz:
http://arxiv.org/abs/1912.06831
We consider piecewise expanding maps of the interval with finitely many branches of monotonicity and show that they are generically combinatorially stable, i.e., the number of ergodic attractors and their corresponding mixing periods do not change un
Externí odkaz:
http://arxiv.org/abs/1711.06554
Autor:
Gaivão, José Pedro
We show that for almost every $(P,\lambda)$ where $P$ is a convex polygon and $\lambda\in(0,1)$, the corresponding outer billiard about $P$ with contraction $\lambda$ is asymptotically periodic, i.e., has a finite number of periodic orbits and every
Externí odkaz:
http://arxiv.org/abs/1707.01151