From h.ruymgaart@ttu.edu Tue Aug 23 08:28:33 2005
Date: Mon, 22 Aug 2005 15:07:07 -0500
From: Frits Ruymgaart <h.ruymgaart@ttu.edu>
To: J Stephen Marron <marron@email.unc.edu>
Subject: Re: Senior position

Dear Steve,

My interest is -or was- in models where the data lie in a manifold . I 
have some papers (almost all jointly with
Hendriks , Landsman , van Rooij , Janssen , Lee ) ,viz.:

J.S.P.I.#23 , 45-52 (1989) ;
Strong uniform convergence of density estimators on spheres. J. Statist. Pl. Inf. 23, 45-52 (1989)

Proc. NATO-ASI conf. , Roussas , ed. , pp. 679-690 (1991) ;
Regularized deconvolution on the circle and the sphere. In: Proc. NATO-ASI conference on Nonparametric Functional Estimation and Related Topics, Kluwer Ac. Publ., Dordrecht, pp. 679-690 (G. Roussas, ed., 1991). Co-author: A.C.M. van Rooij.

Sankhya A#54 , 387-401 (1992) ;
A Cramr-Rao type inequality for random variables in Euclidean manifolds. Sankhya A 54, 387-401 (1992). Co-authors: H.W.M. Hendriks and J.H.M. Janssen.

Statist. Prob. Letters#16 , 305-311 (1993) ;
Strong uniform convergence of density estimators on compact Euclidean manifolds. Statist. Prob. Letters 16, 305-311 (1993). Co-authors: H.W.M. Hendriks and J.H.M. Janssen.

J. Nonpar. Statist.#6, 57-68 (1996) ;
Nonparametric curve estimation on Stiefel manifolds. Nonp. Statist. 6, 57-68 (1996). Co-author: J.M. Lee.

J. Multivar. Anal.#59 , 141-152 (1996) ;
# Asymptotic behavior of sample mean location for spheres. J. Multivar.  An., 59, 141-152 (1996). Co-authors: H. Hendriks and Z. Landsman.

Ann. Inst. Statist. Math.#53 , 781-798 ;


Hendriks has an interesting paper on density estimation on Riemannian 
manifolds ( Ann. Statist.#18 , 823-849
(1990))  and other papers like one jointly with Healy and Kim (J. 
Multivar. Anal.#67 , 1-22 (1998) ) .

Recently Peter Kim (who is also a geometer , like Hendriks ) is 
particularly interested in inverse problems on manifolds (Ann. 
Statist.#26 , 1083-1102 (1998) ; with Koo : J. Multivar. Anal.#80 , 
21-42 (2002);  with Richards :
Contemp. Math.#287 , 155-171 (2001) ) .
Deconvolution density estimation on SO(N), Peter T. Kim; 1083-1102

We have at Texas Tech here a new colleague, Victor Patrangenaru  , born 
in Rumania  and with a degree in prob./stat. from Indiana and a degree 
in geometry . He has a paper in one of the recent  Annals with Rabi 
Bhattacharya on estimation of location on Riemannian manifolds . He has 
also papers in which geometry and statistics are used in certain 
imaging problems .
Bhattacharya, R. and Patrangenaru, V. (2003) Large sample
theory of intrinsic and extrinsic sample means on manifolds,
Annals of Statistics, 31, 1-29

Also the French are working in this area , in particular Bruno 
Pelletier (regression on closed Riemannian manifolds (not yet published 
(?)) , and may be other things as well ) .

There is a nice recent book by Jupp and Mardia . You should also look 
for these two authors.


By the way , there will be a "Red Raider Minisymposium"  (the fifth in 
succession ) here at Texas Tech , 17-19 November this year . The topic 
is something like "Geometry , Statistics , and Image Analysis " , 
organized by Victor Patrangenaru and Robert Paige . Participants are 
Kim , Beran , Bhattacharya , Butler , and some more people . This could 
be really of interest to you , and it would be very nice if you could 
come!

I have asked Robert Paige to send you some further information .

I hope this is of some help; if you need any further information , 
please let me know . I hope you can come in November.

With best regards ,
Frits








On Aug 2, 2005, at 12:47 PM, J Stephen Marron wrote:

> Hi Frits,
>     Good to hear from you.  I hope that things are going well for you.
> Life is busy, but interesting, here.
>
>     Also good to hear that Texas Tech has a new Distinguished
> Professorship.  Of course that brings up the challenge of finding the
> right person (and their being willing to move).  The main problem is 
> that
> the people you want are generally pretty happy where they are.  Perhaps
> your best shot is an up and coming young person, perhaps recently
> appointed to the rank of Full Professor, or for some other reason 
> willing
> to consider a change.
>
>     Here are some possibilities:
>
> 1.  Jean Opsomer:  up for promotion to Full Prof. at Iowa State.  Has 
> been
> doing some cool stuff relating smoothing to sruvey sampling.
>
> 2.  Xuming He:  just returning to U. Illinois, after a term as NSF
> rotater.  I feel that he matured a lot from his NSF experience, and is
> ready to step into a serious leadership role.
>
> 3.  Lijian Yang:  Assoc. Prof. at Mich. State.  He seems unhappy there,
> and has been looking at other possibilities.  I don't know where these
> currently stand.
>
>
>
>
>     By the way, in poking about to find your email address, I noticed 
> that
> you list "statistics on manifolds" as a research interest.  Does this 
> mean
> that you are thinking about likelihood estimation and the parameter 
> space
> from this viewpoint (ala Barndorff-Neilsen)?  Or do you mean the data 
> lie
> in a manifold?  If the latter, please send some references, as I am
> currently quite interested in the area.
>
>
>
> Best,
> Steve
>
>
>
>

