scholarly journals Estimating piecewise monotone signals

2020 ◽  
Vol 14 (1) ◽  
pp. 1508-1576
Author(s):  
Kentaro Minami
Keyword(s):  
Piecewise Monotone

Piecewise monotone filtering with small observation noise

2003 ◽  
Author(s):  
W.H. Fleming ◽  
E. Pardoux
Keyword(s):  
Piecewise Monotone ◽  
Observation Noise ◽  
Small Observation

Fourier coefficients of piecewise-monotone functions of several variables

1998 ◽  
Vol 62 (2) ◽  
pp. 247-259
Author(s):  
M I Dyachenko
Keyword(s):  
Fourier Coefficients ◽  
Monotone Functions ◽  
Piecewise Monotone ◽  
Several Variables

"CONNECT-THE-DOTS" TREE MAPS

1995 ◽  
Vol 05 (05) ◽  
pp. 1427-1431
Author(s):  
LLUÍS ALSEDÀ ◽  
JOHN GUASCHI ◽  
JÉRÔME LOS ◽  
FRANCESC MAÑOSAS ◽  
PERE MUMBRÚ
Keyword(s):  
Piecewise Monotone ◽  
Interval Maps ◽  
Work In Progress ◽  
Monotone Map ◽  
The Given

We announce the main results of work in progress on piecewise monotone models for patterns of tree maps. More precisely, we define a notion of pattern for tree maps, and given such a pattern, we construct a tree and a piecewise monotone map on this tree with the same pattern. This piecewise monotone model has the least entropy among all models exhibiting the given pattern and has "minimal dynamics". We also give a formula to compute this minimal entropy directly from the pattern. These results generalize the known results for interval maps and the results from Li & Ye [1993].

Piecewise monotone maps without periodic points: rigidity, measures and complexity

2004 ◽  
Vol 24 (2) ◽  
pp. 383-405 ◽  
Author(s):  
JRME BUZZI ◽  
PASCAL HUBERT
Keyword(s):  
Periodic Points ◽  
Piecewise Monotone ◽  
Monotone Maps

scholarly journals The degree of piecewise monotone interpolation

1975 ◽  
Vol 48 (2) ◽  
pp. 409-409 ◽  
Author(s):  
Eli Passow ◽  
Louis Raymon
Keyword(s):  
Piecewise Monotone

On Comonotone Approximation

1983 ◽  
Vol 26 (2) ◽  
pp. 220-224 ◽  
Author(s):  
R. K. Beatson ◽  
D. Leviatan
Keyword(s):  
Jackson Type ◽  
Monotone Functions ◽  
Piecewise Monotone ◽  
Comonotone Approximation

AbstractJackson type theorems are obtained for the comonotone approximation of piecewise monotone functions by polynomials.

scholarly journals ω-limit sets for maps of the interval

1986 ◽  
Vol 6 (3) ◽  
pp. 335-344 ◽  
Author(s):  
Louis Block ◽  
Ethan M. Coven
Keyword(s):  
Periodic Points ◽  
Compact Interval ◽  
Minimal Set ◽  
Limit Sets ◽  
Piecewise Monotone ◽  
Continuous Map ◽  
Limit Points

AbstractLet f denote a continuous map of a compact interval to itself, P(f) the set of periodic points of f and Λ(f) the set of ω-limit points of f. Sarkovskǐi has shown that Λ(f) is closed, and hence ⊆Λ(f), and Nitecki has shown that if f is piecewise monotone, then Λ(f)=. We prove that if x∈Λ(f)−, then the set of ω-limit points of x is an infinite minimal set. This result provides the inspiration for the construction of a map f for which Λ(f)≠.

scholarly journals Constant slope maps on the extended real line

2017 ◽  
Vol 38 (8) ◽  
pp. 3145-3169 ◽  
Author(s):  
MICHAŁ MISIUREWICZ ◽  
SAMUEL ROTH
Keyword(s):  
Real Line ◽  
Half Line ◽  
Piecewise Monotone ◽  
Bounded Interval ◽  
Interval Map ◽  
Piecewise Continuous ◽  
Constant Slope

For a transitive countably piecewise monotone Markov interval map we consider the question of whether there exists a conjugate map of constant slope. The answer varies depending on whether the map is continuous or only piecewise continuous, whether it is mixing or not, what slope we consider and whether the conjugate map is defined on a bounded interval, half-line or the whole real line (with the infinities included).

Well-behaved piecewise monotone functions

1983 ◽  
pp. 41-59
Author(s):  
Chris Preston
Keyword(s):  
Monotone Functions ◽  
Piecewise Monotone
Sign in / Sign up

Export Citation Format

Share Document