The $p$-integrable Teichmüller space for $p \geqslant 1$

Quantum Teichmüller Space

We describe explicitly a noncommutative deformation of the *-algebra of functions on the Teichmüller space of Riemann surfaces with holes equivariant w.r.t. the mapping class group action.

Dynamics over Teichmüller Space

GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$

In this paper‎, ‎using a generalized Dunkl translation operator‎, ‎we obtain a generalization of Titchmarsh's Theorem for the Dunkl transform for functions satisfying the$(psi,p)$-Lipschitz Dunkl condition in the space $mathrm{L}_{p,alpha}=mathrm{L}^{p}(mathbb{R},|x|^{2alpha+1}dx)$‎, ‎where $alpha>-frac{1}{2}$.  

NEUROGENIC TUMORS OF THE NOSE AND P OSTNASAL SPACE

Non-epithelial, benign extracranial neurogenic tumors of the nasal cavities are reported in the literature with extreme rarity. These tumors differ from the more common congenital gliomas, encephaloceles, etc. in that they sometimes are detached from the brain tissues. These tumors have intracranial origins. They are congenital or acquired and may involve any of the nerves inside the nose....

p–species integrable reaction–diffusion processes

We consider a process in which there are p–species of particles, i.e. A1, A2, · · · , Ap, on an infinite one–dimensional lattice. Each particle Ai can diffuse to its right neighboring site with rate Di, if this site is not already occupied. Also they have the exchange interaction Aj +Ai → Ai +Aj with rate rij . We study the range of parameters (interactions) for which the model is integrable. T...