Some properties of the arc-sine law related to its invariance under a family of rational maps
نویسنده
چکیده
This paper shows how the invariance of the arc-sine distribution on (0, 1) under a family of rational maps is related on the one hand to various integral identities with probabilistic interpretations involving random variables derived from Brownian motion with arc-sine, Gaussian, Cauchy and other distributions, and on the other hand to results in the analytic theory of iterated rational maps.
منابع مشابه
The attitudes toward extramarital relations and some of its related factors among families of Tabriz
Extramarital relations are the most common social problems with many negative consequences on family institution, including erosion of mutual marital trust and divorce. A study on the attitudes of people in society towards extramarital relations can be an important indicator in predicting this behavior. The present study to investigate the attitudes toward extramarital relations and some of its...
متن کاملCooperative Benefit and Cost Games under Fairness Concerns
Solution concepts in cooperative games are based on either cost games or benefit games. Although cost games and benefit games are strategically equivalent, that is not the case in general for solution concepts. Motivated by this important observation, a new property called invariance property with respect to benefit/cost allocation is introduced in this paper. Since such a property can be regar...
متن کاملComplete characterization of the Mordell-Weil group of some families of elliptic curves
The Mordell-Weil theorem states that the group of rational points on an elliptic curve over the rational numbers is a finitely generated abelian group. In our previous paper, H. Daghigh, and S. Didari, On the elliptic curves of the form $ y^2=x^3-3px$, Bull. Iranian Math. Soc. 40 (2014), no. 5, 1119--1133., using Selmer groups, we have shown that for a prime $p...
متن کاملThe concept of logic entropy on D-posets
In this paper, a new invariant called {it logic entropy} for dynamical systems on a D-poset is introduced. Also, the {it conditional logical entropy} is defined and then some of its properties are studied. The invariance of the {it logic entropy} of a system under isomorphism is proved. At the end, the notion of an $ m $-generator of a dynamical system is introduced and a version of the Kolm...
متن کاملISLAMIC MEDICAL JURISP RUDENCE PART II: THE RESPONSES OF ISLAMIC LAW TO MEDICAL DILEMMAS
Judicial decisions (Fatawa) of some of the most learned juridical authorities in the Imamate (Shiite) community (maraja' al-taqlid) of present time on medical issues are examined in this paper. They will provide the reader with the responses of the Islamic jurisprudence to the most involved medical dilemmas. The paper mainly focuses on the rational viewpoints of the Islamic law on permissio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999