Using 9.4 g of Zr-96 and 1221 days of data from the NEMO-3 detector corresponding to 0.031 kg yr, the obtained 2vbb decay half-life measurement is [2.35 +/- 0.14(stat) +/- 0.16(syst)] x 10^19 yr. Different characteristics of the final state electrons have been studied, such as the energy sum, individual electron energy, and angular distribution. The 2v nuclear matrix element is extracted using the measured 2vbb half-life and is 0.049 +/- 0.002. Constraints on 0vbb decay have also been set.

J. Argyriades R. Arnold C. Augier J. Baker A. S. Barabash A. Basharina-Freshville M. Bongrand G. Broudin-Bay V. Brudanin A. J. Caffrey A. Chapon E. Chauveau Z. Daraktchieva D. Durand V. Egorov N. Fatemi-Ghomi R. Flack B. Guillon Ph. Hubert S. Jullian M. Kauer S. King A. Klimenko O. Kochetov S. I. Konovalov V. Kovalenko D. Lalanne T. Lamhamdi K. Lang Y. Lemiere C. Longuemare G. Lutter F. Mamedov Ch. Marquet J. Martin-Albo F. Mauger A. Nachab I. Nasteva I. Nemchenok C. H. Nguyen F. Nova P. Novella H. Ohsumi R. B. Pahlka F. Perrot F. Piquemal J. L. Reyss J. S. Ricol R. Saakyan X. Sarazin Yu. Shitov L. Simard F. Simkovic A. Smolnikov S. Snow S. Soldner-Rembold I. Stekl J. Suhonen C. S. Sutton G. Szklarz J. Thomas V. Timkin V. I. Tretyak V. Umatov L. Vala I. Vanyushin V. Vasiliev V. Vorobel Ts. Vylov

The trace subshift of a cellular automaton is the subshift of all possible columns that may appear in a space-time diagram, ie the infinite sequence of states of a particular cell of a configuration; in the language of symbolic dynamics one says that it is a factor system. In this paper we study conditions for a sofic subshift to be the trace of a cellular automaton.

Julien Cervelle Enrico Formenti Pierre Guillon

We study discrete dynamical systems through the topological concepts of limit set, which consists of all points that can be reached arbitrarily late, and asymptotic set, which consists of all adhering values of orbits. In particular, we deal with the case when each of these are a singleton, or when the restriction of the system is periodic on them, and show that this is equivalent to some simple dynamics in the case of subshifts or cellular automata. Moreover, we deal with the stability of these properties with respect to some simulation notions.

Guillon Pierre Richard Gaétan

We study cellular automata with respect to a new communication complexity problem: each of two players know half of some finite word, and must be able to tell whether the state of the central cell will follow a given evolution, by communicating as little as possible between each other. We present some links with classical dynamical concepts, especially equicontinuity, expansiveness, entropy and give the asymptotic communication complexity of most elementary cellular automata.

Eric Goles Pierre Guillon Ivan Rapaport

We propose and implement a broadband, compact, and low-cost wavefront sensing scheme by simply placing a thin diffuser in the close vicinity of a camera. The local wavefront gradient is determined from the local translation of the speckle pattern. The translation vector map is computed thanks to a fast diffeomorphic image registration algorithm and integrated to reconstruct the wavefront profile. The simple translation of speckle grains under local wavefront tip/tilt is ensured by the so-called "memory effect" of the diffuser. Quantitative wavefront measurements are experimentally demonstrated both for the few first Zernike polynomials and for phase-imaging applications requiring high resolution. We finally provided a theoretical description of the resolution limit that is supported experimentally.

Pascal Berto Hervé Rigneault Marc Guillon

In this article, we consider a topological dynamical system. The generic limit set is the smallest closed subset which has a comeager realm of attraction. We study some of its topological properties, and the links with equicontinuity and sensitivity. We emphasize the case of cellular automata, for which the generic limit set is included in all subshift attractors, and discuss directional dynamics, as well as the link with measure-theoretical similar notions.

Saliha Djenaoui Pierre Guillon

We study one-head machines through symbolic and topological dynamics. In particular, a subshift is associated to the subshift, and we are interested in its complexity in terms of realtime recognition. We emphasize the class of one-head machines whose subshift can be recognized by a deterministic pushdown automaton. We prove that this class corresponds to particular restrictions on the head movement, and to equicontinuity in associated dynamical systems.

Anahi Gajardo Pierre Guillon

We consider a problem of decomposition of a ternary function into a composition of binary ones from the viewpoint of communication complexity and algorithmic information theory as well as some applications to cellular automata.

Alexander Shen

We show that directional closing in the sense of Guillon-Kari-Zinoviadis and Franks-Kra is not closed under conjugacy. This implies that being polygonal in the sense of Franks-Kra is not closed under conjugacy.

Ville Salo

The possibility to probe new physics scenarios of light Majorana neutrino exchange and right-handed currents at the planned next generation neutrinoless double beta decay experiment SuperNEMO is discussed. Its ability to study different isotopes and track the outgoing electrons provides the means to discriminate different underlying mechanisms for the neutrinoless double beta decay by measuring the decay half-life and the electron angular and energy distributions.

R. Arnold C. Augier J. Baker A. S. Barabash A. Basharina-Freshville M. Bongrand V. Brudanin A. J. Caffrey S. Cebrián A. Chapon E. Chauveau Th. Dafni F. F. Deppisch J. Diaz D. Durand V. Egorov J. J. Evans R. Flack K-I. Fushima I. García Irastorza X. Garrido H. Gómez B. Guillon A. Holin K. Holy J. J. Horkley Ph. Hubert C. Hugon F. J. Iguaz N. Ishihara C. M. Jackson S. Jullian M. Kauer O. Kochetov S. I. Konovalov V. Kovalenko T. Lamhamdi K. Lang G. Lutter G. Luzón F. Mamedov Ch. Marquet F. Mauger F. Monrabal A. Nachab I. Nasteva I. Nemchenok C. H. Nguyen M. Nomachi F. Nova H. Ohsumi R. B. Pahlka F. Perrot F. Piquemal P. P. Povinec B. Richards J. S. Ricol C. L. Riddle A. Rodríguez R. Saakyan X. Sarazin J. K. Sedgbeer L. Serra Yu. Shitov L. Simard F. Šimkovic S. Söldner-Rembold I. Štekl C. S. Sutton Y. Tamagawa J. Thomas V. Timkin V. Tretyak Vl. I. Tretyak V. I. Umatov I. A. Vanyushin R. Vasiliev V. Vasiliev V. Vorobel D. Waters N. Yahlali A. Žukauskas