The intertwining of affine Kac-Moody and current algebras
The inverse -body problem. A geometrical approach
The Isolated Point Singularity Problem for the Coupled Yang-Mills Equations in Higher Dimensions.
The iterated version of a translative integral formula for sets of positive reach
By taking into account the work of J. Rataj and M. Zähle [Geom. Dedicata 57, 259-283 (1995; Zbl 0844.53050)], R. Schneider and W. Weil [Math. Nachr. 129, 67-80 (1986; Zbl 0602.52003)], W. Weil [Math. Z. 205, 531-549 (1990; Zbl 0705.52006)], an integral formula is obtained here by using the technique of rectifiable currents.This is an iterated version of the principal kinematic formula for sets of positive reach and generalized curvature measures.
The Kolmogorov Entropy For Quantum Systems Revisited.
The lattice structure of quantum logics
The level crossing problem in semi-classical analysis I. The symmetric case
We describe a microlocal normal form for a symmetric system of pseudo-differential equations whose principal symbol is a real symmetric matrix with a generic crossing of eigenvalues. We use it in order to give a precise description of the microlocal solutions.
The level crossing problem in semi-classical analysis. II. The Hermitian case
This paper is the second part of the paper ``The level crossing problem in semi-classical analysis I. The symmetric case''(Annales de l'Institut Fourier in honor of Frédéric Pham). We consider here the case where the dispersion matrix is complex Hermitian.
The list of volume's 32 (2003) referees
The low energy expansion in nonrelativistic scattering theory
The Markov process of total spins
The Maslov dequantization, idempotent and tropical mathematics: a brief introduction.
The mathematics of fivebranes.
The mathematics of large atoms
The meaning of time and covariant superderivatives in supermechanics.
The measurable distinction between the spin and orbital angular momenta of electromagnetic radiation.
The measure extension theorem for subadditive measures in -continuous logics
The measure-theoretical approach to -adic probability theory
The microlocal Landau-Zener formula
The mixed regularity of electronic wave functions multiplied by explicit correlation factors
The electronic Schrödinger equation describes the motion of N electrons under Coulomb interaction forces in a field of clamped nuclei. The solutions of this equation, the electronic wave functions, depend on 3N variables, three spatial dimensions for each electron. Approximating them is thus inordinately challenging. As is shown in the author's monograph [Yserentant, Lecture Notes in Mathematics 2000, Springer (2010)], the regularity of the solutions, which increases with the number of electrons,...