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,...
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 Mathematics2000, Springer (2010)], the regularity of the solutions, which increases with the number of electrons,...
The monotone Poisson process
The coefficients of the moments of the monotone Poisson law are shown to be a type of Stirling number of the first kind; certain combinatorial identities relating to these numbers are proved and a new derivation of the Cauchy transform of this law is given. An investigation is begun into the classical Azéma-type martingale which corresponds to the compensated monotone Poisson process; it is shown to have the chaotic-representation property and its sample paths are described.
The Mourre estimate for regular dispersive systems
The Mukai pairing. I: A categorical approach.
The multitrace matrix model of scalar field theory on fuzzy .
The triplet vertex operator superalgebras: twisted sector.
The -field-irreducible part of a -point functional
The noncommutative Dirac equation for some wave functions.
The noncommutative Ward metric.
The nonrelativistic limit for the Weyl quantized Hamlitonians and pseudo-differential operators.
The nonrelativistic limit of the nonlinear Dirac equation