منابع مشابه
Purely Discontinuous Asset Price Processes
This paper presents the case for modeling asset price processes as purely discontinuous processes of ̄nite variation with an in ̄nite arrival rate of jumps that have arrival rates completely monotone in the jump size. The arguments address both the empirical realities of asset returns and the implications of the economic principle of no arbitrage. Two classes of economic models meeting these con...
متن کاملMarkoff numbers and ambiguous classes
The Markoff conjecture states that given a positive integer c, there is at most one triple (a, b, c) of positive integers with a ≤ b ≤ c that satisfies the equation a2 + b2 + c2 = 3abc. The conjecture is known to be true when c is a prime power or two times a prime power. We present an elementary proof of this result. We also show that if in the class group of forms of discriminant d = 9c2 − 4,...
متن کاملFalcke & Markoff : Jet model for
The preliminary detection of the Galactic Center black hole Sgr A* in X-rays by the Chandra mission , as well as recent mm-VLBI measurements, impose strict constraints on this source. Using a relativistic jet model for Sgr A*, we calculate the synchrotron and synchrotron self-Compton emission. The predicted spectrum provides an excellent fit to the radio spectrum and the the X-ray observations....
متن کاملCombinatorial Interpretations for the Markoff Numbers
In this paper we generalize the concept of Markoff numbers with the construction of Markoff polynomials. We then present a combinatorial model based on a family of recursively-defined graphs which we call snakes, such that the Markoff polynomials and Markoff numbers are respectively weighted and unweighted enumerators of the perfect matchings of snakes. We have found four proofs of the central ...
متن کاملThe Exponent for the Markoff-hurwitz Equations
In this paper, we study the Markoff-Hurwitz equations x0 + ...+x 2 n = ax0 · · ·xn. The variety V defined by this equation admits a group of automorphisms A ∼= Z/2∗· · ·∗Z/2 (an n+1 fold free product). For a solution P on this variety, we consider the number NP (t) of points Q in the A-orbit of P with logarithmic height h(Q) less than t. We show that if a is rational, and P is a non-trivial rat...
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: Acta Mathematica
سال: 1957
ISSN: 0001-5962
DOI: 10.1007/bf02404475