01315aam 2200385I 450 991070994960332120151030104351.0GOVPUB-C13-eefc8d2e1f9ab9032a3b82f301d8b2c7(CKB)5470000002474771(OCoLC)927168420(EXLCZ)99547000000247477120151030d1940 ua 0engrdacontentrdamediardacarrierAir infilteration through windows /Eugene F. Coleman, Roy H. HealdGaithersburg, MD :U.S. Dept. of Commerce, National Institute of Standards and Technology,1940.1 online resourceBuilding materials and structures report ;451940.Contributed record: Metadata reviewed, not verified. Some fields updated by batch processes.Title from PDF title page.Includes bibliographical references.Coleman Eugene F1401600Coleman Eugene F1401600Heald R. H1401601United States.National Bureau of Standards.NBSNBSGPOBOOK9910709949603321Air infilteration through windows3470440UNINA04335nam 22007213 450 991097237670332120231110215751.097814704675311470467534(CKB)4940000000616249(MiAaPQ)EBC6798074(Au-PeEL)EBL6798074(RPAM)22490941(PPN)259967939(OCoLC)1275392913(EXLCZ)99494000000061624920211214d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierLocal Dynamics of Non-Invertible Maps near Normal Surface Singularities1st ed.Providence :American Mathematical Society,2021.©2021.1 online resource (118 pages)Memoirs of the American Mathematical Society ;v.2729781470449582 1470449587 Includes bibliographical references.Normal surface singularities, resolutions, and intersection theory -- Normal surface singularities and their valuation spaces -- Log discrepancy, essential skeleta, and special singularities -- Dynamics on valuation spaces -- Dynamics of non-finite germs -- Dynamics of non-invertible finite germs -- Algebraic stability -- Attraction rates -- Examples and remarks."We study the problem of finding algebraically stable models for non-invertible holomorphic fixed point germs f : (X, x0) (X, x0), where X is a complex surface having x0 as a normal singularity. We prove that as long as x0 is not a cusp singularity of X, then it is possible to find arbitrarily high modifications : X (X, x0) such that the dynamics of f (or more precisely of f N for N big enough) on X is algebraically stable. This result is proved by understanding the dynamics induced by f on a space of valuations associated to X; in fact, we are able to give a strong classification of all the possible dynamical behaviors of f on this valuation space. We also deduce a precise description of the behavior of the sequence of attraction rates for the iterates of f . Finally, we prove that in this setting the first dynamical degree is always a quadratic integer"--Provided by publisher.Memoirs of the American Mathematical Society Singularities (Mathematics)Holomorphic mappingsGerms (Mathematics)Holomorphic functionsSeveral complex variables and analytic spaces -- Singularities -- Local singularitiesmscSeveral complex variables and analytic spaces -- Holomorphic mappings and correspondences -- Iteration problemsmscCommutative algebra -- General commutative ring theory -- Valuations and their generalizationsmscDynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Dynamical systems on Berkovich spacesmscSeveral complex variables and analytic spaces -- Singularities -- Modifications; resolution of singularitiesmscSingularities (Mathematics)Holomorphic mappings.Germs (Mathematics)Holomorphic functions.Several complex variables and analytic spaces -- Singularities -- Local singularities.Several complex variables and analytic spaces -- Holomorphic mappings and correspondences -- Iteration problems.Commutative algebra -- General commutative ring theory -- Valuations and their generalizations.Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Dynamical systems on Berkovich spaces.Several complex variables and analytic spaces -- Singularities -- Modifications; resolution of singularities.514/.74632S0532H5013A1837P5032S45mscGignac William1802013Ruggiero Matteo755730MiAaPQMiAaPQMiAaPQBOOK9910972376703321Local Dynamics of Non-Invertible Maps near Normal Surface Singularities4347518UNINA