8 citations · 25 across the 19 of their papers we have counts for
19 papers · 1 filter
On the Asymptotics of Convex Core Volumes of Once-Punctured Torus Groups
Hidetoshi Masai, Ryo Matsuda
We study the asymptotic behavior of the convex core volume for a sequence of quasi-Fuchsian manifolds associated with a pseudo-Anosov mapping class on a onc…
A horofunction counterpart to Teichmüller distance
Hidetoshi Masai
We generalize the horofunction compactification to maps that are not distance functions. As an application we define a horofunction counterpart to the Teichmüller distance, and dis…
On the extremal length of the hyperbolic metric
Hidetoshi Masai
For any closed hyperbolic Riemann surface , we show that the extremal length of the Liouville current is determined solely by the topology of \(X\). This confirms a conjecture o…
Isospectral Configurations in Euclidean and Hyperbolic Geometry
Hidetoshi Masai, Greg McShane
A number of questions related to the length spectrum of surfaces are discussed and in particular the existence of pairs of surfaces which though not isometric are isospectral. Here…
Compactification and distance on Teichmüller space via renormalized volume
Hidetoshi Masai
We introduce a variant of horocompactification which takes "directions" into account. As an application, we construct a compactification of the Teichmüller spaces via the renormali…
Quotients of the curve complex
Joseph Maher, Hidetoshi Masai, Saul Schleimer
We consider three kinds of quotients of the curve complex which are obtained by coning off uniformly quasi-convex subspaces: symmetric curve sets, non-maximal train track sets, and…
Complete exceptional surgeries on two-bridge links
Kazuhiro Ichihara, In Dae Jong, Hidetoshi Masai
We give a list of hyperbolic two-bridge links which includes all such links with complete exceptional surgeries, i.e., Dehn surgeries on both components which yield non-hyperbolic…
On systoles and ortho spectrum rigidity
Hidetoshi Masai, Greg McShane
We consider the ortho spectrum of hyperbolic surfaces with totally geodesic boundary. We show that in general the ortho spectrum does not determine the systolic length but that the…
On continuity of drifts of the mapping class group
Hidetoshi Masai
A random walk on a countable group acting on a metric space gives a characteristic called the drift which depends only on the transition probability measure of the rand…
On commensurability of quadratic differentials
Hidetoshi Masai
We consider commensurability of quadratic differentials on surfaces. Each commensurability class has a natural order by the covering relation. We show that each commensurability cl…
Fibered commensurability on
Hidetoshi Masai, Ryosuke Mineyama
We define and discuss a notion called fibered commensurability of outer automorphisms of free groups. This notion lets us study symmetry of outer automorphisms. The notion of fiber…
Topological Entropy of Random Walks on Mapping Class Groups
Hidetoshi Masai
For any pseudo-Anosov diffeomorphism on a closed orientable surface of genus greater than one, it is known by the work of Bers and Thurston that the topological entropy agrees…
Cosmetic banding on knots and links
Kazuhiro Ichihara, In Dae Jong, Hidetoshi Masai
We present various examples of cosmetic bandings on knots and links, that is, bandings on knots and links leaving their types unchanged. As a byproduct, we give a hyperbolic knot w…
Fibered commensurability and arithmeticity of random mapping tori
Hidetoshi Masai
We consider a random walk on the mapping class group of a surface of finite type. We assume that the random walk is determined by a probability measure whose support is finite and…
On the number of commensurable fibrations on a hyperbolic 3-manifold
Hidetoshi Masai
By a work of Thurston, it is known that if a hyperbolic fibred -manifold has Betti number greater than 1, then admits infinitely many distinct fibrations. For any fibrat…
Verified computations for hyperbolic 3-manifolds
Neil Hoffman, Kazuhiro Ichihara, Masahide Kashiwagi +3
For a given cusped 3-manifold admitting an ideal triangulation, we describe a method to rigorously prove that either or a filling of admits a complete hyperbolic struct…
Exceptional surgeries on alternating knots
Kazuhiro Ichihara, Hidetoshi Masai
We give a complete classification of exceptional surgeries on hyperbolic alternating knots in the 3-sphere. As an appendix, we also show that the Montesinos knots M (-1/2, 2/5, 1/(…
On commensurability of fibrations on a hyperbolic 3-manifold
Hidetoshi Masai
We discuss fibered commensurability of fibrations on a hyperbolic 3-manifold, a notion introduced by Calegari, Sun and Wang. We construct manifolds with non-symmetric but commensur…
On the number of hyperbolic 3-manifolds of a given volume
Craig Hodgson, Hidetoshi Masai
The work of Jorgensen and Thurston shows that there is a finite number N(v) of orientable hyperbolic 3-manifolds with any given volume v. We show that there is an infinite sequence…