14 citations · 44 across the 7 of their papers we have counts for
10 papers
Quadratic-time computations for pseudo-Anosov mapping classes
Dan Margalit, Balázs Strenner, Samuel J. Taylor +1
We give a quadratic-time algorithm to compute the stretch factor and the invariant measured foliations for a pseudo-Anosov element of the mapping class group. As input, the algorit…
Fibrations of 3-manifolds and asymptotic translation length in the arc complex
Balázs Strenner
Given a 3-manifold fibering over the circle, we investigate how the asymptotic translation lengths of pseudo-Anosov monodromies in the arc complex vary as we vary the fibration…
Minimal Penner dilatations on nonorientable surfaces
Livio Liechti, Balázs Strenner
For any nonorientable closed surface, we determine the minimal dilatation among pseudo-Anosov mapping classes arising from Penner's construction. We deduce that the sequence of min…
Minimal pseudo-Anosov stretch factors on nonoriented surfaces
Livio Liechti, Balázs Strenner
We determine the smallest stretch factor among pseudo-Anosov maps with an orientable invariant foliation on the closed nonorientable surfaces of genus 4, 5, 6, 7, 8, 10, 12, 14, 16…
The Arnoux-Yoccoz mapping classes via Penner's construction
Livio Liechti, Balázs Strenner
We give a new description of the Arnoux-Yoccoz mapping classes as a product of two Dehn twists and a finite order element. The construction is analogous to Penner's construction of…
Galois conjugates of pseudo-Anosov stretch factors are dense in the complex plane
Balázs Strenner
In this paper, we study the Galois conjugates of stretch factors of pseudo-Anosov elements of the mapping class group of a surface. We show that - except in low-complexity cases -…
Lifts of pseudo-Anosov homeomorphisms of nonorientable surfaces have vanishing SAF invariant
Balázs Strenner
We show that any pseudo-Anosov map that is a lift of pseudo-Anosov homeomorphism of a nonorientable surface has vanishing SAF invariant. We also provide a criterion to certify that…
Algebraic degrees of pseudo-Anosov stretch factors
Balázs Strenner
The motivation for this paper is to justify a remark of Thurston that the algebraic degree of stretch factors of pseudo-Anosov maps on a surface can be as high as the dimension…
Pseudo-Anosov mapping classes not arising from Penner's construction
Hyunshik Shin, Balázs Strenner
We show that Galois conjugates of stretch factors of pseudo-Anosov mapping classes arising from Penner's construction lie off the unit circle. As a consequence, we show that for al…
How large dimension guarantees a given angle?
Viktor Harangi, Tamás Keleti, Gergely Kiss +4
We study the following two problems: (1) Given and $\al$, how large Hausdorff dimension can a compact set $A\su\Rn$ have if does not contain three points that form an…