Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions

A microscopic heterogeneous system under random influence is considered. The randomness enters the system at physical boundary of small scale obstacles as well as at the interior of the physical medium. This system is modeled by a stochastic partial differential equation defined on a domain perforated with small holes (obstacles or heterogeneities), together with random dynamical boundary conditions on the boundaries of these small holes. A homogenized macroscopic model for this microscopic heterogeneous stochastic system is derived. This homogenized effective model is a new stochastic partial differential equation defined on a unified domain without small holes, with static boundary condition only. In fact, the random dynamical boundary conditions are homogenized out, but the impact of random forces on the small holes' boundaries is quantified as an extra stochastic term in the homogenized stochastic partial differential equation. Moreover, the validity of the homogenized model is justified by showing that the solutions of the microscopic model converge to those of the effective macroscopic model in probability distribution, as the size of small holes diminishes to zero.Comment: Communications in Mathematical Physics, to appear, 200

Measurement of the atmospheric muon depth intensity relation with the NEMO Phase-2 tower

The results of the analysis of the data collected with the NEMO Phase-2 tower, deployed at 3500 m depth about 80 km off-shore Capo Passero (Italy), are presented. Cherenkov photons detected with the photomultipliers tubes were used to reconstruct the tracks of atmospheric muons. Their zenith-angle distribution was measured and the results compared with Monte Carlo simulations. An evaluation of the systematic effects due to uncertainties on environmental and detector parameters is also included. The associated depth intensity relation was evaluated and compared with previous measurements and theoretical predictions. With the present analysis, the muon depth intensity relation has been measured up to 13 km of water equivalent.Comment: submitted to Astroparticle Physic

A user's guide to optimal transport

This text is an expanded version of the lectures given by the first author in the 2009 CIME summer school of Cetraro. It provides a quick and reasonably account of the classical theory of optimal mass transportation and of its more recent developments, including the metric theory of gradient flows, geometric and functional inequalities related to optimal transportation, the first and second order differential calculus in the Wasserstein space and the synthetic theory of metric measure spaces with Ricci curvature bounded from below

Time-dependent search for neutrino emission from X-ray binaries with the ANTARES telescope

[EN] ANTARES is currently the largest neutrino telescope operating in the Northern Hemisphere, aiming at the detection of high-energy neutrinos from astrophysical sources. Neutrino telescopes constantly monitor at least one complete hemisphere of the sky, and are thus well-suited to detect neutrinos produced in transient astrophysical sources. A time-dependent search has been applied to a list of 33 X-ray binaries undergoing high flaring activities in satellite data (RXTE/ASM, MAXI and Swift/BAT) and during hardness transi-tion states in the 2008 2012 period. The background originating from interactions of charged cosmic rays in the Earth s atmosphere is drastically reduced by requiring a directional and temporal coincidence with astrophysical phenomena. The results of this search are presented together with comparisons between the neutrino flux upper limits and the neutrino flux predictions from astrophysical models. The neutrino flux upper limits resulting from this search limit the jet parameter space for some astrophysical models.The authors acknowledge the financial support of the funding agencies: Centre National de la Recherche Scientifique (CNRS), Commissariat a l'energie atomique et aux energies alternatives (CEA), Commission Europeenne (FEDER fund and Marie Curie Program), Institut Universitaire de France (IUF), IdEx program and UnivEarthS Labex program at Sorbonne Paris Cite (ANR-10-LABX-0023 and ANR-11-IDEX-0005-02), Labex OCEVU (ANR-11-LABX-0060) and the A* MIDEX project (ANR-11-IDEX-0001-02), Region Ile-de-France (DIM-ACAV), Region Alsace (contrat CPER), Region Provence-Alpes-Cote d'Azur, Departement du Var and Ville de La Seyne-sur-Mer, France; Bundesministerium fur Bildung und Forschung (BMBF), Germany; Istituto Nazionale di Fisica Nucleare (INFN), Italy; Stichting voor Fundamenteel Onderzoek der Materie (FOM), Nederlandse organisatie voor Weten-schappelijk Onderzoek (NWO), the Netherlands; Council of the President of the Russian Federation for young scientists and leading scientific schools supporting grants, Russia; National Authority for Scientific Research (ANCS), Romania; Ministerio de Economia y Competitividad (MINECO): Plan Estatal de Investigacion (refs. FPA2015-65150-C3-1-P, -2-P and -3-P, (MINECO/FEDER)), Severo Ochoa Centre of Excellence and MultiDark Consolider (MINECO), and Prometeo and Grisolia programs (Generalitat Valenciana), Spain; Agence de l'Oriental and CNRST, Morocco. We also acknowledge the technical support of Ifremer, AIM and Foselev Marine for the sea operation and the CC-IN2P3 for the computing facilitiesAlbert, A.; Andre, M.; Anton, G.; Ardid Ramírez, M.; Aubert, J.; Avgitas, T.; Baret, B.... (2017). Time-dependent search for neutrino emission from X-ray binaries with the ANTARES telescope. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS. 4(19):1-23. https://doi.org/10.1088/1475-7516/2017/04/019S123419Vila, G. S., Romero, G. E., & Casco, N. A. (2012). An inhomogeneous lepto-hadronic model for the radiation of relativistic jets. Astronomy & Astrophysics, 538, A97. doi:10.1051/0004-6361/201118106Pepe, C., Vila, G. S., & Romero, G. E. (2015). Lepto-hadronic model for the broadband emission of Cygnus X-1. Astronomy & Astrophysics, 584, A95. doi:10.1051/0004-6361/201527156Blandford, R. D., & Payne, D. G. (1982). Hydromagnetic flows from accretion discs and the production of radio jets. Monthly Notices of the Royal Astronomical Society, 199(4), 883-903. doi:10.1093/mnras/199.4.883Trigo, M. D., Miller-Jones, J. C. A., Migliari, S., Broderick, J. W., & Tzioumis, T. (2013). Baryons in the relativistic jets of the stellar-mass black-hole candidate 4U 1630-47. Nature, 504(7479), 260-262. doi:10.1038/nature12672Heinz, S. (2006). Composition, Collimation, Contamination: The Jet of Cygnus X‐1. The Astrophysical Journal, 636(1), 316-322. doi:10.1086/497954Levinson, A., & Waxman, E. (2001). Probing Microquasars with TeV Neutrinos. Physical Review Letters, 87(17). doi:10.1103/physrevlett.87.171101Sahakyan, N., Piano, G., & Tavani, M. (2013). HADRONIC GAMMA-RAY AND NEUTRINO EMISSION FROM CYGNUS X-3. The Astrophysical Journal, 780(1), 29. doi:10.1088/0004-637x/780/1/29Adrián-Martínez, S., Albert, A., Al Samarai, I., André, M., Anghinolfi, M., Anton, G., … Aubert, J.-J. (2013). Search for muon neutrinos from gamma-ray bursts with the ANTARES neutrino telescope using 2008 to 2011 data. Astronomy & Astrophysics, 559, A9. doi:10.1051/0004-6361/201322169Adrián-Martínez, S., Albert, A., André, M., Anghinolfi, M., Anton, G., Ardid, M., … Barrios, J. (2014). A search for time dependent neutrino emission from microquasars with the ANTARES telescope. Journal of High Energy Astrophysics, 3-4, 9-17. doi:10.1016/j.jheap.2014.06.002Aartsen, M. G., Ackermann, M., Adams, J., Aguilar, J. A., Ahlers, M., Ahrens, M., … Arguelles, C. (2015). SEARCHES FOR TIME-DEPENDENT NEUTRINO SOURCES WITH ICECUBE DATA FROM 2008 TO 2012. The Astrophysical Journal, 807(1), 46. doi:10.1088/0004-637x/807/1/46Remillard, R. A., & McClintock, J. E. (2006). X-Ray Properties of Black-Hole Binaries. Annual Review of Astronomy and Astrophysics, 44(1), 49-92. doi:10.1146/annurev.astro.44.051905.092532Corbel, S., Kaaret, P., Jain, R. K., Bailyn, C. D., Fender, R. P., Tomsick, J. A., … McCollough, M. L. (2001). X‐Ray States and Radio Emission in the Black Hole Candidate XTE J1550−564. The Astrophysical Journal, 554(1), 43-48. doi:10.1086/321364Miller-Jones, J. C. A., Jonker, P. G., Maccarone, T. J., Nelemans, G., & Calvelo, D. E. (2011). A DEEP RADIO SURVEY OF HARD STATE AND QUIESCENT BLACK HOLE X-RAY BINARIES. The Astrophysical Journal, 739(1), L18. doi:10.1088/2041-8205/739/1/l18Vieyro, F. L., Sestayo, Y., Romero, G. E., & Paredes, J. M. (2012). Nonthermal processes and neutrino emission from the black hole GRO J0422+32 in a bursting state. Astronomy & Astrophysics, 546, A46. doi:10.1051/0004-6361/201219961Miller-Jones, J. C. A., Moin, A., Tingay, S. J., Reynolds, C., Phillips, C. J., Tzioumis, A. K., … Tudose, V. (2011). The first resolved imaging of milliarcsecond-scale jets in Circinus X-1. Monthly Notices of the Royal Astronomical Society: Letters, 419(1), L49-L53. doi:10.1111/j.1745-3933.2011.01176.xSguera, V., Romero, G. E., Bazzano, A., Masetti, N., Bird, A. J., & Bassani, L. (2009). DISSECTING THE REGION OF 3EG J1837-0423 AND HESS J1841-055 WITHINTEGRAL. The Astrophysical Journal, 697(2), 1194-1205. doi:10.1088/0004-637x/697/2/1194García, F., Aguilera, D. N., & Romero, G. E. (2014). Exploring jet-launching conditions for supergiant fast X-ray transients. Astronomy & Astrophysics, 565, A122. doi:10.1051/0004-6361/201323157Giovannelli, F., & Graziati, L. S. (1992). A 0535 + 26/HDE 245770: A typical X-ray/Be system. Space Science Reviews, 59(1-2), 1-81. doi:10.1007/bf01262537Anchordoqui, L. A., Torres, D. F., McCauley, T. P., Romero, G. E., & Aharonian, F. A. (2003). Neutrinos from Accreting Neutron Stars. The Astrophysical Journal, 589(1), 481-486. doi:10.1086/374551Scargle, J. D. (1981). Studies in astronomical time series analysis. I - Modeling random processes in the time domain. The Astrophysical Journal Supplement Series, 45, 1. doi:10.1086/190706Scargle, J. D. (1998). Studies in Astronomical Time Series Analysis. V. Bayesian Blocks, a New Method to Analyze Structure in Photon Counting Data. The Astrophysical Journal, 504(1), 405-418. doi:10.1086/306064Scargle, J. D., Norris, J. P., Jackson, B., & Chiang, J. (2013). STUDIES IN ASTRONOMICAL TIME SERIES ANALYSIS. VI. BAYESIAN BLOCK REPRESENTATIONS. The Astrophysical Journal, 764(2), 167. doi:10.1088/0004-637x/764/2/167collaboration, T. A. (2015). Search for muon-neutrino emission from GeV and TeV gamma-ray flaring blazars using five years of data of the ANTARES telescope. Journal of Cosmology and Astroparticle Physics, 2015(12), 014-014. doi:10.1088/1475-7516/2015/12/014Kappes, A., Hinton, J., Stegmann, C., & Aharonian, F. A. (2007). Potential Neutrino Signals from Galactic γ‐Ray Sources. The Astrophysical Journal, 656(2), 870-878. doi:10.1086/508936Outline of a Theory of Statistical Estimation Based on the Classical Theory of Probability. (1937). Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 236(767), 333-380. doi:10.1098/rsta.1937.0005Romero, G. E., & Vila, G. S. (2008). The proton low-mass microquasar: high-energy emission. Astronomy & Astrophysics, 485(3), 623-631. doi:10.1051/0004-6361:200809563Reynoso, M. M., Romero, G. E., & Christiansen, H. R. (2008). Production of gamma rays and neutrinos in the dark jets of the microquasar SS433. Monthly Notices of the Royal Astronomical Society, 387(4), 1745-1754. doi:10.1111/j.1365-2966.2008.13364.xReynoso, M. M., & Romero, G. E. (2008). Magnetic field effects on neutrino production in microquasars. Astronomy & Astrophysics, 493(1), 1-11. doi:10.1051/0004-6361:200811004Bednarek, W. (2005). TeV Neutrinos from Microquasars in Compact Massive Binaries. The Astrophysical Journal, 631(1), 466-470. doi:10.1086/432411Romero, G. E., Vieyro, F. L., & Vila, G. S. (2010). Non-thermal processes around accreting galactic black holes. Astronomy and Astrophysics, 519, A109. doi:10.1051/0004-6361/200913663Miller-Jones, J. C. A., Fender, R. P., & Nakar, E. (2006). Opening angles, Lorentz factors and confinement of X-ray binary jets. Monthly Notices of the Royal Astronomical Society, 367(4), 1432-1440. doi:10.1111/j.1365-2966.2006.10092.xBlandford, R. D., & Konigl, A. (1979). Relativistic jets as compact radio sources. The Astrophysical Journal, 232, 34. doi:10.1086/157262Zhang, J. F., Feng, Y. G., Lei, M. C., Tang, Y. Y., & Tian, Y. P. (2010). High-energy neutrino emission from low-mass microquasars. Monthly Notices of the Royal Astronomical Society, 407(4), 2468-2474. doi:10.1111/j.1365-2966.2010.17072.xHeinz, S., Burton, M., Braiding, C., Brandt, W. N., Jonker, P. G., Sell, P., … Schulz, N. S. (2015). LORD OF THE RINGS: A KINEMATIC DISTANCE TO CIRCINUS X-1 FROM A GIANT X-RAY LIGHT ECHO. The Astrophysical Journal, 806(2), 265. doi:10.1088/0004-637x/806/2/265Bednarek, W. (2009). TeV neutrinos from accreting x-ray pulsars. Physical Review D, 79(12). doi:10.1103/physrevd.79.123010Adrián-Martínez, S., Ageron, M., Aharonian, F., Aiello, S., Albert, A., Ameli, F., … Anghinolfi, M. (2016). Letter of intent for KM3NeT 2.0. Journal of Physics G: Nuclear and Particle Physics, 43(8), 084001. doi:10.1088/0954-3899/43/8/084001Russell, D. M., Markoff, S., Casella, P., Cantrell, A. G., Chatterjee, R., Fender, R. P., … Shahbaz, T. (2012). Jet spectral breaks in black hole X-ray binaries. Monthly Notices of the Royal Astronomical Society, 429(1), 815-832. doi:10.1093/mnras/sts377Stirling, A. M., Spencer, R. E., de La Force, C. J., Garrett, M. A., Fender, R. P., & Ogley, R. N. (2001). A relativistic jet from Cygnus X-1 in the low/hard X-ray state. Monthly Notices of the Royal Astronomical Society, 327(4), 1273-1278. doi:10.1046/j.1365-8711.2001.04821.xCorbel, S., Kaaret, P., Fender, R. P., Tzioumis, A. K., Tomsick, J. A., & Orosz, J. A. (2005). Discovery of X‐Ray Jets in the Microquasar H1743−322. The Astrophysical Journal, 632(1), 504-513. doi:10.1086/432499Paragi, Z., van der Horst, A. J., Belloni, T., Miller-Jones, J. C. A., Linford, J., Taylor, G., … Wijers, R. A. M. J. (2013). VLBI observations of the shortest orbital period black hole binary, MAXI J1659−152. Monthly Notices of the Royal Astronomical Society, 432(2), 1319-1329. doi:10.1093/mnras/stt545Mainzer, A., Masiero, J., Grav, T., Bauer, J., Tholen, D. J., McMillan, R. S., … Maleszewski, C. (2011). NEOWISE STUDIES OF ASTEROIDS WITH SLOAN PHOTOMETRY: PRELIMINARY RESULTS. The Astrophysical Journal, 745(1), 7. doi:10.1088/0004-637x/745/1/

Searches for clustering in the time integrated skymap of the ANTARES neutrino telescope

This paper reports a search for spatial clustering of the arrival directions of high energy muon neutrinos detected by the ANTARES neutrino telescope. An improved two-point correlation method is used to study the autocorrelation of 3058 neutrino candidate events as well as cross-correlations with other classes of astrophysical objects: sources of high energy gamma rays, massive black holes and nearby galaxies. No significant deviations from the isotropic distribution of arrival directions expected from atmospheric backgrounds are observed

Constraining the neutrino emission of gravitationally lensed Flat-Spectrum Radio Quasars with ANTARES data

This paper proposes to exploit gravitational lensing effects to improve the sensitivity of neutrino telescopes to the intrinsic neutrino emission of distant blazar populations. This strategy is illustrated with a search for cosmic neutrinos in the direction of four distant and gravitationally lensed Flat-Spectrum Radio Quasars. The magnification factor is estimated for each system assuming a singular isothermal profile for the lens. Based on data collected from 2007 to 2012 by the ANTARES neutrino telescope, the strongest constraint is obtained from the lensed quasar B0218+357, providing a limit on the total neutrino luminosity of this source of 1.08 x 10(46) erg s(-1) This limit is about one order of magnitude lower than those previously obtained in the ANTARES standard point source searches with non-lensed Flat-Spectrum Radio Quasars

The SUrvey for Pulsars and Extragalactic Radio Bursts – II. New FRB discoveries and their follow-up

We report the discovery of four Fast Radio Bursts (FRBs) in the ongoing SUrvey for Pulsars and Extragalactic Radio Bursts at the Parkes Radio Telescope: FRBs 150610, 151206, 151230 and 160102. Our real-time discoveries have enabled us to conduct extensive, rapid multimessenger follow-up at 12 major facilities sensitive to radio, optical, X-ray, gamma-ray photons and neutrinos on time-scales ranging from an hour to a few months post-burst. No counterparts to the FRBs were found and we provide upper limits on afterglow luminosities. None of the FRBs were seen to repeat. Formal fits to all FRBs show hints of scattering while their intrinsic widths are unresolved in time. FRB 151206 is at low Galactic latitude, FRB 151230 shows a sharp spectral cut-off, and FRB 160102 has the highest dispersion measure (DM = 2596.1 ± 0.3 pc cm−3) detected to date. Three of the FRBs have high dispersion measures (DM > 1500 pc cm−3), favouring a scenario where the DM is dominated by contributions from the intergalactic medium. The slope of the Parkes FRB source counts distribution with fluences >2 Jy ms is α=−2.2+0.6−1.2 and still consistent with a Euclidean distribution (α = −3/2). We also find that the all-sky rate is 1.7+1.5−0.9×103 FRBs/(4π sr)/day above ∼2Jyms and there is currently no strong evidence for a latitude-dependent FRB sky rate