Wave equations with low regularity coefficients.
Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems.
Weighted cohomology of asymptotically hyperbolic manifolds.
Weighted -cohomology of Coxeter groups based on barycentric subdivisons.
Weighted Poincaré inequality and rigidity of complete manifolds
Weighted Weyl estimates near an elliptic trajectory.
Let Ψjh and Ejh denote the eigenfunctions and eigenvalues of a Schrödinger-type operator Hh with discrete spectrum. Let Ψ(x,ξ) be a coherent state centered at a point (x,ξ) belonging to an elliptic periodic orbit, γ of action Sγ and Maslov index σγ. We consider weighted Weyl estimates of the following form: we study the asymptotics, as h → 0 along any sequenceh = Sγ / (2πl - α + σγ), l ∈ N, α ∈ R fixed, ofΣ|Ej - E| ≤ ch |(Ψ(x,ξ), Ψjh)|2.We prove that the asymptotics depend strongly on α-dependent...
Weitzenböck Formula for SL(q)-foliations
A Weitzenböck formula for SL(q)-foliations is derived. Its linear part is a relative trace of the relative curvature operator acting on vector valued forms.
Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds
Weyl formula for quasi-elliptic pseudo-differential operators
Where does randomness lead in spacetime?
We provide an alternative algebraic and geometric approach to the results of [I. Bailleul, Probab. Theory Related Fields141 (2008) 283–329] describing the asymptotic behaviour of the relativistic diffusion.
Which values of the volume growth and escape time exponent are possible for a graph?
Witten Deformation of Analytic Torsion and the Spectral Sequence of a Filtration.