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15 papers · 1 filter
Foliation-coupling Dirac structures
Izu Vaisman
We extend the notion of "coupling with a foliation" from Poisson to Dirac structures and get the corresponding generalization of the Vorobiev characterization of coupling Poisson s…
Gene splice sites correlate with nucleosome positions
Simon Kogan, Edward N. Trifonov
Gene sequences in the vicinity of splice sites are found to possess dinucleotide periodicities, especially RR and YY, with the period close to the pitch of nucleosome DNA. This con…
Subanalytic sets and complex analytic geometry
Y. Peterzil, S. Starchenko
We consider a subanalytic subset A of a complex analytic manifold M (when M is viewed as a real manifold) and formulate conditions under which A is a complex analytic subset of M.
Quantized Normal Matrices: Some Exact Results and Collective Field Formulation
Joshua Feinberg
We formulate and study a class of U(N)-invariant quantum mechanical models of large normal matrices with arbitrary rotation-invariant matrix potentials. We concentrate on the U(N)…
Rational functions and real Schubert calculus
A. Eremenko, A. Gabrielov, M. Shapiro +1
We single out some problems of Schubert calculus of subspaces of codimension 2 that have the property that all their solutions are real provided that the data are real. Our argumen…
Optimal change-point estimation from indirect observations
A. Goldenshluger, A. Tsybakov, A. Zeevi
We study nonparametric change-point estimation from indirect noisy observations. Focusing on the white noise convolution model, we consider two classes of functions that are smooth…