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1
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Minor cycles for interval maps

100%
Misiurewicz M.
Fundamenta Mathematicae
|
1994
|
tom 145
|
nr 3
281-304
EN
For continuous maps of an interval into itself we consider cycles (periodic orbits) that are non-reducible in the sense that there is no non-trivial partition into blocks of consecutive points permuted by the map. Among them we identify the miror ones. They are those whose existence does not imply existence of other non-reducible cycles of the same period. Moreover, we find minor patterns of a given period with minimal entropy.
2
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Fixed points for positive permutation braids

64%
Misiurewicz M., Rodrigues A.
Fundamenta Mathematicae
|
2012
|
tom 216
|
nr 2
129-146
EN
Making use of the Nielsen fixed point theory, we study a conjugacy invariant of braids, which we call the level index function. We present a simple algorithm for computing it for positive permutation cyclic braids.
3
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Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval

51%
Kolyada S., Misiurewicz M., L’ubomír Snoha
Fundamenta Mathematicae
|
1999
|
tom 160
|
nr 2
161-181
EN
The topological entropy of a nonautonomous dynamical system given by a sequence of compact metric spaces $(X_i)^∞_{i = 1}$ and a sequence of continuous maps $(f_i)^∞_{i = 1}$, $f_i : X_i → X_{i+1}$, is defined. If all the spaces are compact real intervals and all the maps are piecewise monotone then, under some additional assumptions, a formula for the entropy of the system is obtained in terms of the number of pieces of monotonicity of $f_n ○... ○ f_2 ○ f_1$. As an application we construct a large class of smooth triangular maps of the square of type $2^∞$ and positive topological entropy.
4
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Rotation sets and ergodic measures for torus homeomorphisms

51%
Misiurewicz M., Ziemian K.
Fundamenta Mathematicae
|
1991
|
tom 137
|
nr 1
45-52
5
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Embedding inverse limits interval maps as attractors

44%
Misiurewicz M.
Fundamenta Mathematicae
|
1985
|
tom 125
|
nr 1
23-40
6
Content available remote

Jumps of entropy in one dimension

32%
Misiurewicz M.
Fundamenta Mathematicae
|
1989
|
tom 132
|
nr 3
215-226
7
Content available remote

Topological conditional entropy

32%
Misiurewicz M.
Studia Mathematica
|
1976
|
tom 55
|
nr 2
175-200
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