 About 44,100 results  books.google.com Volume 45. 2005 Representations of a Quiver with Automorphism: Generalising
a Theorem of Kac Andrew Hubery School of Mathematics University of Leeds
Leeds LS2 9JT, England, U.K. ahuberySmaths . leeds .ac.uk 1 Introduction There
is ... 

 books.google.com This is the FeynmanKac theorem. First, we assume that under a riskneutral
measure P our market model is described by (2.20, 2.21). The fair value C(t, x)
depends on the ndimensional Ito diffusion processes {x\\ characterizing our
market ... 

 books.google.com 
 books.google.com The following theorem is known as Kac's theorem when a = 1 and is proved in [6,
10.3]. THEOREM 4.4. (1) The polynomial /Q,CT(a,q) is nonzero 4=> a e A(F)+. (
2) a. E A(F)+ is real ==> IQ^(a,q) = 1. Note that our proof requires Kac's theorem ... 

 books.google.com As a corollary, we obtain a version of the ergodic theorem with large normalising
constants (Feller's theorem): Theorem ... for the proof of Theorem A. This proof is
carried out in §2, the main tool being a "random Kac inequality" (Theorem 2.1). 

 books.google.com According to P. Gabriel's theorem [Gab72], a quiver is of finitetype if and only if it
is a (simplylaced) Dynkin diagram. ... 2.2.4 The V. Kac theorem on the possible
dimension vectors According to the P. Gabriel theorem (Th.2.14) and the ... 

 books.google.com Kac's. theorem. Let Wn = (X \ A) ∩ f −n(A) denote the set of points in X \ A that hit
set A after n steps for the first time, Wn := { x /∈ A: f(x), . . . , fn−1(x) /∈ Aand fn(x)
∈ A } , n > 0. The set of points in X \ A that never hit the set A is denoted by W∞. 

 books.google.com 3. If ̨ 2 0;1/ let ̨ be the transformation on 0;1/ given by ̨.x/ D frac. ̨ C x/.
Now, let q 2 N, put D 1=q , and let U be a subinterval of 0;1/ having length 1=q.
Show that Kac's Theorem, and Theorem 4.15 on the standard deviation, apply to
... 

 books.google.com Gabriel's Theorem states that a quiver is of finite type iff the underlying undirected
graph is a disjoint union of the following graphs [33]: (5.6) Am Dm
E6 E7 E 8 ???? ? Kac's Theorem states that the set of ... 

 books.google.com root system), together with at most one continuous parameter. The precise
statement will be given in Section 2.3 in the form of Kac's theorem. For all other
quivers, called wild, the classification problem is unsolved [66, Chapters XVII and
XIX] ... 

 