06140nam 22007093 450 991096632990332120231110213609.097814704709511470470950(CKB)5600000000455002(MiAaPQ)EBC29731907(Au-PeEL)EBL29731907(OCoLC)1343249649(EXLCZ)99560000000045500220220905d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierBrownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation1st ed.Providence :American Mathematical Society,2022.©2022.1 online resource (146 pages)Memoirs of the American Mathematical Society ;v.2779781470452292 1470452294 Cover -- Title page -- Chapter 1. Introduction -- 1.1. Kardar-Parisi-Zhang universality -- 1.2. A conceptual overview of the scaled Brownian last passage percolation study -- 1.3. Non-intersecting line ensembles and their integrable and probabilistic analysis -- 1.4. The article's main results -- Chapter 2. Brownian Gibbs ensembles: Definition and statements -- 2.1. Preliminaries: Bridge ensembles and the Brownian Gibbs property -- 2.2. Statements of principal results concerning regular ensembles -- 2.3. Some generalities: Notation and basic properties of Brownian Gibbs ensembles -- Chapter 3. Missing closed middle reconstruction and the Wiener candidate -- 3.1. Close encounter between finitely many non-intersecting Brownian bridges -- 3.2. The reconstruction of the missing closed middle -- 3.3. Applications of the Wiener candidate approach -- Chapter 4. The jump ensemble method: Foundations -- 4.1. The jump ensemble method -- 4.2. General tools for the jump ensemble method -- Chapter 5. The jump ensemble method: Applications -- 5.1. Upper bound on the probability of curve closeness over a given point -- 5.2. Closeness of curves at a general location -- 5.3. Brownian bridge regularity of regular ensembles -- Appendix A. Properties of regular Brownian Gibbs ensembles -- A.1. Scaled Brownian LPP line ensembles are regular -- A.2. The lower tail of the lower curves -- A.3. Regular ensemble curves collapse near infinity -- Bibliography -- Back Cover."The Airy line ensemble is a positive-integer indexed system of random continuous curves whose finite dimensional distributions are given by the multi-line Airy process. It is a natural object in the KPZ universality class: for example, its highest curve, the Airy2 process, describes after the subtraction of a parabola the limiting law of the scaled energy of a geodesic running from the origin to a variable point on an anti-diagonal line in such problems as Poissonian last passage percolation. The ensemble of curves resulting from the Airy line ensemble after the subtraction of the same parabola enjoys a simple and explicit spatial Markov property, the Brownian Gibbs property. In this paper, we employ the Brownian Gibbs property to make a close comparison between the Airy line ensemble's curves after affine shift and Brownian bridge, proving the finiteness of a superpolynomially growing moment bound on Radon-Nikodym derivatives. We also determine the value of a natural exponent describing in Brownian last passage percolation the decay in probability for the existence of several near geodesics that are disjoint except for their common endpoints, where the notion of 'near' refers to a small deficit in scaled geodesic energy, with the parameter specifying this nearness tending to zero. To prove both results, we introduce a technique that may be useful elsewhere for finding upper bounds on probabilities of events concerning random systems of curves enjoying the Brownian Gibbs property. Several results in this article play a fundamental role in a further study of Brownian last passage percolation in three companion papers (Hammond 2017a,b,c), in which geodesic coalescence and geodesic energy profiles are investigated in scaled coordinates"--Provided by publisher.Memoirs of the American Mathematical Society Brownian motion processesGibbs' equationAiry functionsSet theoryPercolation (Statistical physics)Geodesics (Mathematics)Stochastic partial differential equationsStatistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Interacting particle systemsmscStatistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Exactly solvable models; Bethe ansatzmscProbability theory and stochastic processes -- Stochastic analysis -- Stochastic partial differential equationsmscBrownian motion processes.Gibbs' equation.Airy functions.Set theory.Percolation (Statistical physics)Geodesics (Mathematics)Stochastic partial differential equations.Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Interacting particle systems.Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Exactly solvable models; Bethe ansatz.Probability theory and stochastic processes -- Stochastic analysis -- Stochastic partial differential equations.530.13530.1382C2282B2360H15mscHammond Alan1799752MiAaPQMiAaPQMiAaPQBOOK9910966329903321Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation4344149UNINA04213nam 22006255 450 991030058900332120230810192946.09783319713182331971318310.1007/978-3-319-71318-2(CKB)4100000002892125(MiAaPQ)EBC5357989(DE-He213)978-3-319-71318-2(Perlego)3490702(EXLCZ)99410000000289212520180309d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMicrobes and Other Shamanic Beings /by César E. Giraldo Herrera1st ed. 2018.Cham :Springer International Publishing :Imprint: Palgrave Macmillan,2018.1 online resource (284 pages)9783319713175 3319713175 1. Colonising and decolonising ontologies -- Part 1: Amerindian shamanism -- 2. (Mis)Understanding shamanism and animism -- 3. First contacts with Amerindian shamans and their "spirits" -- 4. Syncretic ontologies of the microbial-masters of game -- Part 2: Shamanic microscopy, perceiving cellular souls and microbial spirits -- 5. Shamanic epistemologies -- 6. Neuropsychological naturalistic explanations of shamanic visions -- 7. The cavern of the eye: seeing through the retina -- 8. Entoptic microscopy -- Part 3: Biosocial Ethnohistory of Syphilis and Related Diseases -- 9. French malaise in the Taíno myths of origin -- 10. The spotted Sun and the blemished Moon, Nahuatl views on treponematoses -- 11. The West, Syphilis and the other treponematoses -- 12. Threading worlds together.Shamanism is commonly understood through reference to spirits and souls. However, these terms were introduced by Christian missionaries as part of the colonial effort of conversion. So, rather than trying to comprehend shamanism through medieval European concepts, this book examines it through ideas that started developing in the West after encountering Amerindian shamans. Microbes and other Shamanic Beings develops three major arguments: First, since their earliest accounts Amerindian shamanic notions have had more in common with current microbial ecology than with Christian religious beliefs. Second, the human senses allow the unaided perception of the microbial world; for example, entoptic vision allows one to see microscopic objects flowing through the retina and shamans employ techniques that enhance precisely these kinds of perception. Lastly, the theory that some diseases are produced by living agents acquired through contagion was proposed right after Contact in relation to syphilis, an important subject of pre-Contact Amerindian medicine and mythology, which was treasured and translated by European physicians. Despite these early translations, the West took four centuries to rediscover germs and bring microbiology into mainstream science. Giraldo Herrera reclaims this knowledge and lays the fundaments for an ethnomicrobiology. It will appeal to anyone curious about shamanism and willing to take it seriously and to those enquiring about the microbiome, our relations with microbes and the long history behind them.Physical anthropologyCultureSocial medicineScienceHistoryHuman geographyPhysical-Biological AnthropologySociology of CultureMedical SociologyHistory of ScienceHuman GeographyPhysical anthropology.Culture.Social medicine.ScienceHistory.Human geography.Physical-Biological Anthropology.Sociology of Culture.Medical Sociology.History of Science.Human Geography.573.072Giraldo Herrera César Eauthttp://id.loc.gov/vocabulary/relators/aut855616BOOK9910300589003321Microbes and Other Shamanic Beings1910265UNINA