Results 1 to 10 of about 98 (84)

A Short Proof of Hölder Continuity for Functions in DeGiorgi Classes [PDF]

Annales Academi{\ae} Scientiarum Fennic{\ae} Mathematica, Volumen 43, 2018, 931-934, 2017
The goal of this note is to give an alternative proof of local H\"older continuity for functions in DeGiorgi classes based on an idea of Moser.
arxiv   +1 more source

Convexity properties of quasihyperbolic balls on Banach spaces [PDF]

Annales Academi{\ae} Scientiarum Fennic{\ae} Mathematica Volumen 37, 2012, 215-228, 2010
We study convexity and starlikeness of quasihyperbolic and distance ratio metric balls on Banach spaces. In particular, problems related to these metrics on convex domains, and on punctured Banach spaces, are considered.
arxiv   +1 more source

Lower semicontinuous functionals for Almgren's multiple valued functions [PDF]

Annales Academiae Scientiarum Fennicae Mathematica Volumen 36, 2011, 1-18, 2009
We consider general integral functionals on the Sobolev spaces of multiple valued functions, introduced by Almgren. We characterize the semicontinuous ones and recover earlier results of Mattila as a particular case. Moreover, we answer positively to one of the questions raised by Mattila in the same paper.
arxiv   +1 more source

High-Velocity Estimates and Inverse Scattering for Quantum N-Body Systems with Stark Effect [PDF]

J. Math. Phys. volumen 53 (2012)102105, 2011
In an N-body quantum system with a constant electric field, by inverse scattering, we uniquely reconstruct pair potentials, belonging to the optimal class of short-range potentials and long-range potentials, from the high-velocity limit of the Dollard scattering operator. We give a reconstruction formula with an error term.
arxiv   +1 more source

Moran Sets and Hyperbolic Boundaries [PDF]

Annales Academi{\ae} Scientiarum Fennic{\ae} Mathematica Volumen 38, 2013, 377-388, 2012
In the paper, we prove that a Moran set is homeomorphic to the hyperbolic boundary of the representing symbolic space in the sense of Gromov, which generalizes the results of Lau and Wang [Indiana U. Math. J. {\bf 58} (2009), 1777-1795]. Moreover, by making use of this, we establish the Lipschitz equivalence of a class of Moran sets.
arxiv   +1 more source

Lipschitz conditions, triangular ratio metric, and quasiconformal maps [PDF]

Annales Academi{\ae} Scientiarum Fennic{\ae} Mathematica Volumen 40, 2015, 683-709, 2014
The triangular ratio metric is studied in subdomains of the complex plane and Euclidean $n$-space. Various inequalities are proven for it. The main results deal with the behavior of this metric under quasiconformal maps. We also study the smoothness of metric disks with small radii.
arxiv   +1 more source

Norm of the Bergman projection onto the Bloch space with $\mathcal{M}-$invariant gradient [PDF]

Annales Academi{\ae} Scientiarum Fennic{\ae} Mathematica Volumen 44, 2019, 211-220, 2017
The value of the operator norm of Bergman projections from $L^{\infty}(\mathbb{B}^n)$ to Bloch space is found in \cite{KalajMarkovic2014}. The authors of mentioned paper proposed the problem of calculating the norm of the same class of operators with different norm on the Bloch space - $\mathcal{M}$-invariant gradient.
arxiv   +1 more source

Effects of Neutron Emission on Fragment Mass and Kinetic Energy Distribution from Thermal Neutron-Induced Fission of $^{235}U$ [PDF]

AIP Conference Proceedings, Volumen 947 (2007), 2007
The mass and kinetic energy distribution of nuclear fragments from thermal neutron-induced fission of 235U have been studied using a Monte-Carlo simulation. Besides reproducing the pronounced broadening in the standard deviation of the kinetic energy at the final fragment mass number around m = 109, our simulation also produces a second broadening ...
arxiv   +1 more source

Focal rigidity of hyperbolic surfaces [PDF]

, 2011
In this note, we consider the rigidity of the focal decomposition of closed hyperbolic surfaces. We show that, generically, the focal decomposition of a closed hyperbolic surface does not allow for non-trivial topological deformations, without changing the hyperbolic structure of the surface. By classical rigidity theory this is also true in dimension $
arxiv   +1 more source

Thermostatistics of small systems: Exact results in the microcanonical formalism [PDF]

European Journal of Physics 34 (2013)1075-1087, 2015
Several approximations are made to study the microcanonical formalism that are valid in the thermodynamics limit. Usually it is assumed that: 1)Stirling approximation can be used to evaluate the number of microstates; 2) the surface entropy can be replace by the volumen entropy; and 3)derivatives can be used even if the energy is not a continuous ...
arxiv   +1 more source