Rate of explosion of the amperean area of the planar brownian loop
نویسندگان
چکیده
© Springer-Verlag, Berlin Heidelberg New York, 1994, tous droits réservés. L’accès aux archives du séminaire de probabilités (Strasbourg) (http://portail. mathdoc.fr/SemProba/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
منابع مشابه
2 00 5 The expected area of the filled planar Brownian loop is π 5 Christophe
Let Bt, 0 ≤ t ≤ 1 be a planar Brownian loop (a Brownian motion conditioned so that B0 = B1). We consider the compact hull obtained by filling in all the holes, i.e. the complement of the unique unbounded component of C \B[0, 1]. We show that the expected area of this hull is π/5. The proof uses, perhaps not surprisingly, the Schramm Loewner Evolution (SLE). Also, using Yor’s result [16] about t...
متن کاملFluctuation of planar Brownian loop capturing large area
Abstract. We consider a planar Brownian loop B that is run for a time T and conditioned on the event that its range encloses the unusually high area of πT 2, with T ∈ (0,∞) being large. We study the deviation of the range of the conditioned process X from a circle of radius T , as a model for the fluctuation of a phase boundary. This deviation is measured by the inradius Rin(X) and outradius Ro...
متن کاملDynamic Response Analysis of the Planar and Tubular Solid Oxide Fuel Cells to the Inlet Air Mass Flow Rate Variation
The purpose of present study is to investigate the dynamic response of two conventional types of solid oxide fuel cells to the inlet air mass flow rate variation. A dynamic compartmental model based on CFD principles is developed for two typical planar and tubular SOFC designs. The model accounts for transport processes (heat and mass transfer), diffusion processes, electrochemical processes, a...
متن کاملDelay-Scheduled Controllers for Inter-Area Oscillations Considering Time Delays
Unlike the existing views that was introduced the existence of delay caused by the transmission of wide area measurement system data (WAMS) into the controllers input of the power oscilation damping (POD) by communication networks as a reason for poor performance of the POD controllers. This paper shows that the presence of time delay in the feedback loop may improve the performance of a POD co...
متن کاملSensitivity of gallium scintigraphy for evaluation of recurrent lymphoma: Comparison of planar and SPECT imaging
Introduction: Although PET scanning using F-18[FDG] is considered the superior radiotracer for tumnor imaging, Gallium-67 is still in use for some malignancies such as lymphoma and hepatoma. One of the strategies to improve the diagnostic accuracy of Gallium is to perform SPECT which is reported to be more sensitive compared to planar imaging. In this study we compa...
متن کامل