A unicellular map is a map which has only one face. We give a bijection between a dominant subset of rooted unicellular maps of given genus and a set of rooted plane trees with distinguished vertices. The bijection applies as well to the case of labelled unicellular maps, which are related to all rooted maps by Marcus and Schaeffer’s bijection. This gives an immediate derivation of the asymptot...

The sharp microcanonical multifragmentation model from [Al. H. Raduta and Ad. R. Raduta, Phys. Rev. C 55, 1344 (1997); Phys. Rev. C, in press] is employed for evaluating the nuclear caloric curve predictions of nine isotopic thermometers for three representative nuclei. Evaluations are performed for both primary decay and asymptotic stages. Effects of the secondary decays on the primary decay c...

An analytical expression for the shape of the capillary menis, R formed around a vertical cylinder or spherical particle near a vertical wall is derived by using the method of matched asymptotic expansions. The forces of capillary interaction bctwccn the particle (cylinder) and the wall arc calculated. The resulting expressions are valid when the distance bctwecn the particle (cylinder) and the...

This paper deals with the passage from discrete to continuous in modeling the static elastic properties, in the setting of anti-planar linear elasticity, of vertical screw dislocations in a cylindrical crystal. We study, in the framework of Γ-convergence, the asymptotic behavior of the elastic stored energy induced by dislocations as the atomic scale ε tends to zero, in the regime of dilute dis...

This paper is devoted to the research on global dynamics for a large class of evolution systems with uniform asymptotic annihilation. We first introduce concept spectral radius and study associated principal eigenvalue problem. Then we establish annihilation threshold such systems. Finally apply developed theory investigate attractivity positive fixed point an integro-difference equation propag...

The spreading under surface tension and gravity of a droplet yield-stress fluid over thin film the same material is studied. converges to final equilibrium shape once driving stresses inside fall below yield stress. Scaling laws are presented for radius complemented with an asymptotic analysis shallow droplets. Moreover, numerical simulations using volume-of-fluid method regularized constitutiv...

in this paper we discuss on the fixed points of asymptotic contractions and boyd-wong type contractions in uniform spaces equipped with an e-distance. a new version ofkirk's fixed point theorem is given for asymptotic contractions and boyd-wong type contractions is investigated in uniform spaces.

We study the global, i.e. radially averaged, high Reynolds number (asymptotic) scaling of streamwise turbulence intensity squared defined as ${I^2=\overline{u^2}/U^2}$, where $u$ and $U$ are fluctuating mean velocities, respectively (overbar is time averaging). The investigation based on mathematical abstraction that logarithmic region in wall extends across entire inner outer layers. Results m...

In this paper we study the injectivity radius based at a fixed point along Weil–Petersson geodesics. We show that square root of is 0.3884-Lipschitz on Teichmüller space endowed with metric. As an application reprove systole function uniformly Lipschitz metric, where constant can be chosen to 0.5492. Applications asymptotic geometry moduli Riemann surfaces for large genus will also discussed.