 About 446 results  books.google.com Allouche, J.P., Cosnard, M.: The KomornikLoreti constant is transcendental. Am.
Math. Mon., 107, 448–449 (2000) 6. Allouche, J.P., Cosnard, M.: Noninteger
bases, iteration of continuous real maps, and an arithmetic selfsimilar set. 

 books.google.com Sergey Bezuglyi, Sergiy Kolyada  2003  Preview Let /3t denote the KomornikLoreti constant introduced by V. Komornik and P.
Loreti in [44], which is defined as the unique solution of the equation where m = (
m^f is the ThueMorse sequence m = 0110 1001 1001 0110 1001 0110 .... i.e.,
the ... 

 books.google.com The constant 6 is the smallest real number in the interval (1,2) so that 1 has a
unique expansion of the form XD 1 0, 6 " where 6, e {0, 1}. It is called the
KomornikLoreti constant (see [8]). We have 6, = 1 where the ThueMorse
sequence equals ... 

 books.google.com One of the quadratic recurrence constants [6.10] One of Otter's tree enumeration
constants [5.6] Bateman—Grosswald c23 ... value of power series constant [7.3]
Conjectured value of real Grothendieck constant [3.11] Komornik–Loreti constant,
... 

 books.google.com For β ∈ (φ, qc) where qc is the (transcendental) KomornikLoreti constant (i.e. the
unique solution of equation ∑∞ k=1 tkq−kc = 1 where (tk)∞k=1 is the Thue
Morse sequence in which tk∈ {0,1} is the parity of the number of 1's in the binary
... 

 books.google.com Vilmos Komornik, Paola Loreti ... (a) The solutions of (6.49) satisfy the estimates
T T /0 /FaVAw2+8Vw'2dFdtsc 1112,16) dt for every T > O, with a constant c
depending only on T. (b) The solutions of (6.50) satisfy the estimates T / /3,,Aw2
+ [8 ... 

 books.google.com Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 

 books.google.com ... the estimate (11.3) of Theorem 11.1 follows with a suitable constant Cs. ut
References 1. 8. 10. 11. 12. Baiocchi, C., Komornik, V., Loreti, P.: Teorèmes du
type Ingham et application à la théorie du contrôle. C. R. Acad. Sci. Paris Sér. I
Math. 

 books.google.com C. Ding, T. Helleseth, H. Niederreiter  2012  Preview However, Komornik and Loreti recently proved the following theorem [41]:
Theorem 9 (Komornik, Loreti). There exists a ... Adian's book [1] gives more
details about the result and its history, and improves the constant 4381 to 665.
One of the ... 

 books.google.com Books Group, LLC Books  2010  No preview Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 

 