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- Oscar E. Lanford
- Experimental Mathematics
- 1998

- Viviane Baladi, Yunping Jiang, Oscar E. Lanford
- 1995

acting on a Banach space of functions ' : M ! C. Transfer operators are useful in the study of “interesting” invariant measures for f . They sometimes arise in a surprising fashion: It has been proved that the period-doubling renormalization spectrum is exactly the spectrum of a suitably defined transfer operator (see e.g. Jiang-Morita-Sullivan [6]).… (More)

- Oscar E. Lanford, Michael Yampolsky
- Springer Briefs in Mathematics
- 2014

Any books that you read, no matter how you got the sentences that have been read from the books, surely they will give you goodness. But, we will show you one of recommendation of the book that you need to read. This fixed point of the parabolic renormalization operator is what we surely mean. We will show you the reasonable reasons why you need to read… (More)

Given a finite set T of maps on a finite ring R, we look at the finite simple graph G = (V,E) with vertex set V = R and edge set E = {(a, b) | ∃t ∈ T, b = t(a), and b 6= a}. An example is when R = Zn and T consists of a finite set of quadratic maps Ti(x) = x 2 + ai. Graphs defined like that have a surprisingly rich structure. This holds especially in an… (More)

- Oscar E. Lanford
- 2004

(The analysis leading to these equat ions will be out l ined in Sect ion 2.) Here, a is a n u m b e r and g (x ) a funct ion def ined on some interval ; bo th a and g(x ) are to be de te rmined . W e are going to cons ider only solut ions with (i) a < 1, (ii) g(x ) a strictly decreas ing funct ion of x, a n d (iii) g(0) = 1. The cond i t ion g(0) = 1 is s… (More)

- Oscar E. Lanford
- 2010

I will discuss in this article some recent progress in the problem of proving existence and uniqueness of solutions to Newton's equations of motion for infinite systems of classical particles interacting by two-body forces which go to zero reasonably quickly as the particle separation goes to infinity. For technical simplicity, I will assume that the… (More)

- Randall J. LeVeque, Oscar E. Lanford, Randall J. LeVequc
- 2010

- John Yager, Trudy Stemmer, +7 authors Un-Sallh
- 2009

By JOHN YAGER The brave people of Hungary have been defeated in their present bid for freedom. Two weeks ago, they s tar ted an armed revolt for independence which a t first was quite successful. The Hungar ians ousted their governmental officials and installed Imre Nagy as Premier. Hungary for the first time in over a decade had come alive. The streets of… (More)

- Albany, Philip Carter, +19 authors Bob Fairbanks
- 2009

T h e following: repor t is based on news articles taken from the Times Union and the Knickerbocker News of the pas t week. New Campus Site "Either the S t a t e University College a t Albany will expand to the Albany Country Club site, or the college including existing facilities, will be moved out of the city. There is no a l ternat ive in Albany." This… (More)

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