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Number of pseudo--Anosov elements in the mapping class group of a four--holed sphere
Mapping class group growth series growth functions
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2010/12/21
We compute the growth series and the growth functions of reducible and pseudo-Anosov elements of the pure mapping class group of the sphere with four holes with respect to a certain generating set. We...
Stable cohomology of the universal Picard varieties and the extended mapping class group
moduli spaces Picard variety stable cohomology
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2011/1/18
We compute the stable cohomology of the universal Picard stack Pic g ! M g, and also its Picard group. The degree zero Picard stack Pic0 g has homotopy type the classifying space of Kawazumi’s extende...
A novel class of bolometric detectors
novel class bolometric detectors
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2010/12/31
We report in this paper the proofs that the pulse shape analysis can be used in some bolometers to identify the nature of the interacting particle. Indeed, while detailed analyses of the signal time d...
A general comparison theorem for $p$-harmonic maps in homotopy class
comparison theorem homotopy class
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2010/11/22
We prove a general comparison result for homotopic finite $p$-energy $C^{1}$ $p$-harmonic maps $u,v:M\to N$ between Riemannian manifolds, assuming that $M$ is $p$-parabolic and $N$ is complete and non...
Exponential Convergence to the Maxwell Distribution For Some Class of Boltzmann Equations
Exponential Convergence the Maxwell Distribution
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2010/11/23
We consider a class of nonlinear Boltzmann equations describing return to thermal equilibrium in a gas of colliding particles suspended in a thermal medium. We study solutions in the space $L^{1}(\ma...
Existence and concentration of solutions for a class of biharmonic equations
Existence and concentration of solutions biharmonic equations
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2010/11/22
Some superlinear fourth order elliptic equations are considered. Ground states are proved to exist and to concentrate at a point in the limit. The proof relies on variational methods, where the existe...
PTF10nvg: An Outbursting Class I Protostar in the Pelican/North American Nebula
stars formation – stars pre-main sequence
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2010/11/15
During a synoptic survey of the North American Nebula region, the Palomar Transient Factory
(PTF) detected an optical outburst (dubbed PTF10nvg) associated with the previously unstudied
flat or risi...
Uniqueness on the Class of Odd-Dimensional Starlike Obstacles with Cross Section Data
Odd-Dimensional Starlike Obstacles Cross Section Data
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2010/11/18
We determine the uniqueness on starlike obstacles by using the cross section data. We see cross section data as spectral measure in polar coordinate at far field. Cross section scattering data suffic...
Jacob's ladders, Bessel's functions and the asymptotic solutions of a new class of nonlinear integral equations
Jacob's ladders Bessel's functions the asymptotic solutions
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2010/11/19
It is shown in this paper that there is a connection between the Riemann zeta-function $\zf$ and the Bessel's functions. In this direction, a new class of the nonlinear integral equations is introduce...
Spectral characterization of a specific class of trees
Spectral characterization specific class of trees
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2010/11/9
In this paper, it is shown that the graph $T_4(p,q,r)$ is determined by its Laplacian spectrum and there are no two non-isomorphic such graphs which are cospectral with respect to adjacency spectrum. ...
Studies of tau- -> eta.K-.nu and tau- -> eta.pi-.nu at BaBar and a search for a second-class current
tau- -> eta.K-.nu tau- -> eta.pi-.nu at BaBar second-class current
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2011/1/4
We report on analyses of tau lepton decays − ! K− and − ! − ,with +−0, using 470 fb−1 of data from the BABAR experiment at PEP-II, collected at cente...
Sine kernel asymptotics for a class of singular measures
singular measures math
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2010/11/19
We construct a family of measures on $\bbR$ that are purely singular with respect to Lebesgue measure, and yet exhibit universal sine-kernel asymptotics in the bulk. The measures are best described v...
On the eigenvalue problem for a particular class of finite Jacobi matrices
the eigenvalue problem finite Jacobi matrices
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2010/11/11
A function $\mathfrak{F}$ with simple and nice algebraic properties is defined on a subset of the space of complex sequences. Some special functions are expressible in terms of $\mathfrak{F}$, first ...
Exponential Class of Similarity Solutions for the Hydromagnetic Falkner-Skan Equations
Exponential Class the Hydromagnetic Falkner-Skan Equations
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2010/11/12
A systematic search for the Lie point symmetries admitted by the steady hydromagnetic two-dimensional incompressible viscous flow boundary layer equation and associated boundary conditions is perform...
The Inversion of Ray Transforms on a Conformal Class of Curves
Ray Transforms Conformal Class of Curves
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2010/11/22
We introduce a technique for recovering a sufficiently smooth function from its ray transform over a wide class of curves in a general region of Euclidean space. The method is based on a complexificat...