The crystalline period of a height one $p$-adic dynamical system
نویسندگان
چکیده
منابع مشابه
THE CRYSTALLINE PERIOD OF A HEIGHT ONE p-ADIC DYNAMICAL SYSTEM
Let f be a continuous ring endomorphism of ZpJxK/Zp of degree p. We prove that if f acts on the tangent space at 0 by a uniformizer and commutes with an automorphism of infinite order, then it is necessarily an endomorphism of a formal group over Zp. The proof relies on finding a stable embedding of ZpJxK in Fontaine’s crystalline period ring with the property that f appears in the monoid of en...
متن کاملON CHAOS OF A CUBIC p-ADIC DYNAMICAL SYSTEM
In the paper we describe basin of attraction of the p-adic dynamical system f(x) = x + ax. Moreover, we also describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs. Mathematics Subject Classification: 37E99, 37B25, 54H20, 12J12.
متن کاملa study on construction of iranian life tables: the case study of modified brass logit system
چکیده ندارد.
15 صفحه اولP-adic Continued Fractions and a P-adic Behavior of Quasi-periodic Dynamical Systems
In this paper we introduce p-adic continued fractions and its application to quasi-periodic dynamical systems. Investigating the recurrent properties of its orbits, we use the lattice theory, which has direct applications to cryptography. At last we show some numerical calculations of p-adic continued fractions and Gauss reduction algorithm by using the open source software Sage.
متن کاملA p-adic Height Function Of Cryptanalytic Significance
It is noted that an efficient algorithm for calculating a p-adic height could have cryptanalytic applications. Elliptic curves and their generalizations are an active research topic with practical applications in cryptography [1], [2], [3]. If E is an elliptic curve defined over a finite field Fp, where p is prime, and if P and Q are points on the curve E such that Q = nP , then the elliptic cu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2017
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/7057