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- Brad A. Myers, Dario A. Giuse, +5 authors Philippe Marchal
- Computer
- 1990

The Garnet research project, which is creating a set of tools to aid the design and implementation of highly interactive, graphical, direct-manipulation user interfaces, is discussed. Garnet alsoâ€¦ (More)

where m(f(X)) is a median of f(X) and where Î¦ is the (oneâ€“dimensional) standard normal distribution function. The inequality (1) has seen many extensions and to date, most of the conditions underâ€¦ (More)

We obtain dimension-free concentration inequalities for `pâ€“norms, p â‰¥ 2, of infinitely divisible random vectors with independent coordinates and finite exponential moments. The methods and resultsâ€¦ (More)

- Philippe Marchal
- 2000

We establish a formula for the distribution of loop-erased random walks at certain random times. Several classical results on spanning trees, including Wilsonâ€™s algorithm, follow easily, as well as aâ€¦ (More)

- Philippe Marchal
- 2009

It has been proved that under additional assumptions, which in particular include the smoothness of Î , one gets more precise expansions of the probability P(X t â‰¥ y) and that these are polynomial inâ€¦ (More)

- Philippe Marchal
- 1997

We sharpen a bound in a theorem of Russell Lyons [4] for percolation on a tree and associated random walk.

- Sylvain Pelletier, Pierre Hubert, Elisabeth Payan, Philippe Marchal, Lionel Choplin, Edith Dellacherie
- Journal of biomedical materials research
- 2001

Various amphiphilic derivatives of sodium alginate and hyaluronate were prepared by covalent fixation of long alkyl chains (dodecyl and octadecyl) with various ratios on the polysaccharide backbonesâ€¦ (More)

We estimate a median of f(Xt) where f is a Lipschitz function, X is a LÃ©vy process and t is an arbitrary time. This leads to concentration inequalities for f(Xt). In turn, corresponding fluctuationâ€¦ (More)

- Philippe Marchal
- DRW
- 2003

It is one of the most basic facts in probability theory that random walks, after proper rescaling, converge to Brownian motion. However, Donskerâ€™s classical theorem [Don51] only states a convergenceâ€¦ (More)

- M Rastello De Boisseson, MichÃ¨le LÃ©onard, +5 authors Edith Dellacherie
- Journal of colloid and interface science
- 2004

Hydrophobically associating alginate (AA) derivatives were prepared by covalent fixation of dodecyl or octadecyl chains onto the polysaccharide backbone (AA-C12/AA-C18). In semidilute solution,â€¦ (More)