SQUARE-TILED SURFACES IN H(2) (2009)
Pascal Hubert, Samuel Leli Èvre
Abstract. This is a study of square-tiled translation surfaces in the stratum H(2) and their SL(2,R)-orbits or Teichmüller discs, which are arithmetic. We prove that for prime n> 3 translation...
SQUARE-TILED SURFACES IN H(2) (2009)
Pascal Hubert, Samuel Leli Èvre
Abstract. This is a study of square-tiled translation surfaces in the stratum H(2) and their SL(2,R)-orbits or Teichmüller discs, which are arithmetic. We prove that for prime n> 3 translation...
TOPOLOGICAL DICHOTOMY AND STRICT ERGODICITY FOR TRANSLATION SURFACES (2008)
Yitwah Cheung, Pascal Hubert, Howard Masur
Abstract. In this paper the authors find examples of translation surfaces that have infinitely generated Veech groups, satisfy the topological dichotomy property that for every direction either the...
Dichotomy for the Hausdorff dimension of the set of nonergodic directions (2008)
Cheung, Yitwah, Hubert, Pascal, Masur, Howard
We consider billiards in a (1/2)-by-1 rectangle with a barrier midway along a vertical side. Let NE be the set of directions theta such that the flow in direction theta is not ergodic. We show that...
Modeling the VARTM Composite Manufacturing Process (2008)
Xiaolan Song, Alfred C. Loos, Brian W. Grimsley, Roberto J. Cano, Pascal Hubert
A comprehensive simulation model of the VARTM composite manufacturing process has been developed. For isothermal resin infiltration, the model incorporates submodels which describe cure of the resin...
DIMENSIONAL STABILITY OF COMPLEX SHAPES MANUFACTURED BY THE VARTM PROCESS (2008)
The vacuum assisted resin transfer molding (VARTM) process is a cost effective, innovative method that is being considered for manufacture of large aircraft-quality components where high mechanical...
VARIABILITY ANALYSIS IN VACUUM ASSISTED RESIN TRANSFER (2008)
Pascal Hubert, R. Byron Pipes, Brian W. Grimsley
The vacuum assisted resin transfer molding (VARTM) process is a low-cost, innovative method that is being considered for manufacture of large aircraft-quality components where high mechanical...
Persistence of Wandering Intervals in Self-Similar Affine Interval Exchange Transformations (2008)
Bressaud, Xavier, Hubert, Pascal, Maass, Alejandro
In this article we prove that given a self-similar interval exchange transformation T, whose associated matrix verifies a quite general algebraic condition, there exists an affine interval exchange...
Complexity of cutting words on regular tilings (2007)
Pascal Hubert, Laurent Vuillon
Abstract: We show that the complexity of a cutting word u in a regular tiling by a polyomino Q is equal to P n (u) = (p+q 1)n+1 for all n 0; where P n (u) counts the number of distinct factors of...
Centre de Mathematiques de l'Ecole Polytechnique (2007)
Piecewise monotone maps without periodic points: Rigidity, measures and complexity.
Hubert, Pascal, Lanneau, Erwan, Moeller, Martin
In this paper, we investigate the closure of a large class of Teichm\"uller discs in the stratum Q(1,1,1,1) or equivalently, in a GL^+_2(R)-invariant locus L of translation surfaces of genus three....
The Arnoux-Yoccoz Teichmueller disc (2006)
Hubert, Pascal, Lanneau, Erwan, Moeller, Martin
We prove that the Teichmueller disc stabilized by the Arnoux-Yoccoz pseudo-Anosov diffeomorphism contains at least two closed Teichmueller geodesics. This proves that the corresponding flat surface...
Topological Dichotomy and Strict Ergodicity for Translation Surfaces (2006)
Cheung, Yitwah, Hubert, Pascal, Masur, Howard
In this paper the authors find examples of translation surfaces that have infinitely generated Veech groups, satisfy the topological dichotomy property that for every direction either the flow in...
Veech groups without parabolic elements (2006)
Hubert, Pascal, Lanneau, Erwan
We prove that a translation surface that has two transverse parabolic elements has a totally real trace field. As a corollary, nontrivial Veech groups that have no parabolic elements do exist. The...
Modular Fibers And Illumination Problems (2006)
Hubert, Pascal, Schmoll, Martin, Troubetzkoy, Serge
For a Veech surface (x,\omega), we characterize subspaces of X^n, invariant under the diagonal action of the affine group of X. We prove that non-arithmetic Veech surfaces have only finitely many...
Problems on billiards, flat surfaces and translation surfaces (2006)
Pascal Hubert, Howard Masur, Thomas Schmidt, Anton Zorich
Part of this list of problems grew out of a series of lectures given by the authors at the Luminy confrence in June 2003. These lectures will appear as survey articles in [HuSt3], [Ma1], see the...
Veech groups without parabolic elements (2005)
Hubert, Pascal, Lanneau, Erwan
We prove that a ``bouillabaisse'' surface (translation surface which has two transverse parabolic elements) has totally real trace field. As a corollary, non trivial Veech groups which have no...
Simulation of the Vacuum Assisted Resin Transfer Molding Process (2005)
Song, Xiaolan, Loos, Alfred C., Grimsley, Brian, Cano, Roberto, Hubert, Pascal
A process model that includes the coupled phenomenon of resin flow and preform compaction was developed and used to simulate resin infiltration of a fibrous preform using the vacuum-assisted resin...
Noncongruence subgroups in H(2) (2005)
Hubert, Pascal, Lelièvre, Samuel
We study the congruence problem for subgroups of the modular group that appear as Veech groups of square-tiled surfaces in the minimal stratum of abelian differentials of genus two.
Noncongruence subgroups in H(2) (2004)
Hubert, Pascal, Lelièvre, Samuel
We study the congruence problem for subgroups of the modular group that appear as Veech groups of square-tiled surfaces in the minimal stratum of abelian differentials of genus two.
Noncongruence subgroups in H(2) (2004)
Hubert, Pascal, Lelièvre, Samuel
We study the congruence problem for subgroups of the modular group that appear as Veech groups of square-tiled surfaces in the minimal stratum of abelian differentials of genus two.
Noncongruence subgroups in H(2) (2004)
Hubert, Pascal, Lelièvre, Samuel
We study the congruence problem for subgroups of the modular group that appear as Veech groups of square-tiled surfaces in the minimal stratum of abelian differentials of genus two.
Geometry of infinitely generated Veech groups (2004)
Hubert, Pascal, Schmidt, Thomas A.
Veech groups uniformize Teichm\"uller geodesic curves in Riemann moduli space. Recently, examples of infinitely generated Veech groups have been given. We show that these can even have infinitely...
Infinitely generated Veech groups (2004)
Hubert, Pascal, Schmidt. Thomas A.
We give a positive response to a question of W. Veech: Infinitely generated Veech groups do exist.
Prime arithmetic Teichmüller discs in H(2) (2004)
Hubert, Pascal, Lelièvre, Samuel
It is well-known that Teichmüller discs that pass through "integer points'' of the moduli space of abelian differentials are very special: they are closed complex geodesics. However, the structure...
Prime arithmetic Teichmüller discs in H(2) (2004)
Hubert, Pascal, Lelièvre, Samuel
It is well-known that Teichmüller discs that pass through "integer points'' of the moduli space of abelian differentials are very special: they are closed complex geodesics. However, the structure...
Prime arithmetic Teichmuller discs in H(2) (2004)
Hubert, Pascal, Lelièvre, Samuel
It is well-known that Teichmuller discs that pass through "integer points'' of the moduli space of abelian differentials are very special: they are closed complex geodesics. However, the structure of...
Noncongruence subgroups in H(2) (2004)
Hubert, Pascal, Lelièvre, Samuel
We study the congruence problem for subgroups of the modular group that appear as Veech groups of square-tiled surfaces in the minimal stratum of abelian differentials of genus two.
Prime arithmetic Teichmüller discs in H(2) (2004)
Hubert, Pascal, Lelièvre, Samuel
It is well-known that Teichmüller discs that pass through "integer points'' of the moduli space of abelian differentials are very special: they are closed complex geodesics. However, the structure...
Noncongruence subgroups in H(2) (2004)
Hubert, Pascal, Lelièvre, Samuel
We study the congruence problem for subgroups of the modular group that appear as Veech groups of square-tiled surfaces in the minimal stratum of abelian differentials of genus two.
Prime arithmetic Teichmüller discs in H(2) (2004)
Hubert, Pascal, Lelièvre, Samuel
It is well-known that Teichmüller discs that pass through "integer points'' of the moduli space of abelian differentials are very special: they are closed complex geodesics. However, the structure...
Effects of Amine And Anhydride Curing Agents on the VARTM Matrix Processing Properties (2002)
Brian W. Grimsley, Pascal Hubert, Xiaolan Song, Roberto J. Cano, Alfred C. Loos, R. Byron Pipes
To ensure successful application of composite structure for aerospace vehicles, it is necessary to develop material systems that meet a variety of requirements. The industry has recently developed a...
Infinitely generated Veech groups (2002)
Abstract. We give a positive response to a question ofW. Veech: There exist Veech groups which are infinitely generated. 1.
Flow And Compaction During The Vacuum (2001)
Assisted Resin Transfer, Brian W. Grimsley, Pascal Hubert, Xiaolan Song, Roberto J. Cano, Alfred C. Loos, ...
The flow of an epoxy resin and compaction behavior of carbon fiber preform during vacuumassisted resin transfer molding (VARTM) infiltration was measured using an instrumented tool. Composite panels...
Veech Groups And Polygonal Coverings (1998)
Pascal Hubert, Thomas A. Schmidt
. We discuss branch points and their effects on Veech groups. In particular, this allows us to show that even if one polygon tiles another, the respective Veech groups are not necessarily...
Anchoring Orientation of Nematic and Smectic A Liquid Crystals on PTFE Treated Plates (1995)
Hubert, Pascal, Dreyfus, Hanna, Guillon, Daniel, Galerne, Yves
The anchoring orientation of different liquid crystals in contact with poly(tetrafluoroethylene) (PTFE) treated surfaces is determined by means of optical interferometry. The anchoring is found to be...
Anchoring Orientation of Nematic and Smectic A Liquid Crystals on PTFE Treated Plates (1995)
Hubert, Pascal, Dreyfus, Hanna, Guillon, Daniel, Galerne, Yves
The anchoring orientation of different liquid crystals in contact with poly(tetrafluoroethylene) (PTFE) treated surfaces is determined by means of optical interferometry. The anchoring is found to be...
Anchoring Orientation of Nematic and Smectic A Liquid Crystals on PTFE Treated Plates (1995)
Hubert, Pascal, Dreyfus, Hanna, Guillon, Daniel, Galerne, Yves
The anchoring orientation of different liquid crystals in contact with poly(tetrafluoroethylene) (PTFE) treated surfaces is determined by means of optical interferometry. The anchoring is found to be...
Analyse économique des relations entre santé et pauvreté /--Pascal Hubert. (1991)
Mémoire de DEA : Economie des ressources humaines et des politiques sociales / Paris 1 ; session de novembre 1991.
Comportement à la rupture de composites pultrudes sous un chargement dynamique / (1991)
Résumé additionnel en anglais.
Complexity of Cutting Words on Regular Tilings
Pascal Hubert, Laurent Vuillon
We show that the complexity of a cutting word u in a regular tiling by a polyomino Q is equal to P n (u) = (p+q-1)n+1 for all n 0, where P n (u) counts the number of distinct factors of length n in...