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Finite Time Singularities for Lagrangian Mean Curvature Flow
Finite Time Singularities Lagrangian Mean Curvature Flow
2010/11/30
Given a prime q and a negative discriminant D, the CM method constructs an elliptic curve E/Fq by obtaining a root of the Hilbert class polynomial HD(X) modulo q.
On the classification of quasihomogeneous singularities
Quasihomogeneous polynomial weight system classification of quasihomogeneous singularities
2010/11/29
The motivation for this paper are computer calculations of complete lists of weight systems of quasihomogeneous polynomials with isolated singularity at 0 up to rather large Milnor numbers.
Laplacian Growth, Elliptic Growth, and Singularities of the Schwarz Potential
Laplacian Growth Elliptic Growth Singularities Schwarz Potential
2010/12/13
The Schwarz function has played an elegant role in understanding and in generating new examples of exact solutions to the Laplacian growth (or \Hele-Shaw\) problem in the plane.
Statistical properties of nonuniformly expanding 1d maps with logarithmic singularities
Statistical properties of nonuniformly 1d maps logarithmic singularities
2010/12/13
For a certain parametrized family of maps on the circle, with critical points and
logarithmic singularities where derivatives blow up to infinity, a positive measure set of parameters was constructed...
In this work we prove some Hardy-Poincar´e inequalities with quadratic singular potentials localized on the boundary of a smooth domain. Then, we consider conical domains with vertex on the sing...
A criterion for non-degeneracy of singularities of integrable Hamiltonian systems
criterion non-degeneracy of singularities integrable Hamiltonian systems
2010/12/15
Let (M, !) be a symplectic 2n-manifold and h1, . . . , hn be functionally independent com-
muting functions onM. We present a geometric criterion for non-degeneracy of a singular point P ∈ M (i.e. su...
Spectral singularities such as exceptional points invoke specific physical effects. The present
paper focuses upon the time dependent solutions of the Schr¨odinger equation. In a simple model it is d...
Computing singularities of perturbation series
Computing singularities perturbation series
2010/10/20
Many properties of current ab initio approaches to the quantum many-body problem, both perturbational or otherwise, are related to the singularity structure of Rayleigh–Schr¨odinger perturbation theor...
A note on Hardy's inequalities with boundary singularities
Hardy inequality extremals p-Laplacian
2010/12/8
Let be a smooth bounded domain in RN with N 1. In this paper we study the Hardy-Poincar´e inequalities with weight function singular at the boundary of .In particular we give sufficient condit...
Reduction of Singularities of Three-Dimensional Line Foliations
Singularities of Three-Dimensional Line Foliations
2010/12/1
We give a birational reduction of singularities for one dimensional foliations in ambient spaces of dimension three. To do this, we first prove the existence of a Local Uniformization in the sense of ...
Removable singularities and a vanishing theorem for Seiberg-Witten invariants
Removable singularities Seiberg-Witten invariants
2010/3/17
Removable singularities and a vanishing theorem for Seiberg-Witten invariants。
We describe a variety of symplectic surgeries (not a priori compatible with Kaehler structures) which are obtained by combining local Kaehler degenerations and resolutions of singularities. The effect...
Singularities of the susceptibility of an SRB measure in the presence of stable-unstable tangencies
SRB measure stable-unstable tangencies
2010/4/1
Let $\rho$ be an SRB (or "physical"), measure for the discrete time evolution given by a map $f$, and let $\rho(A)$ denote the expectation value of a smooth function $A$. If $f$ depends on a parameter...
Applications of the Tunneling Method to Particle Decay and Radiation from Naked Singularities
Particle Decay Radiation Naked Singularities
2010/3/18
Following recent literature on dS instability in presence of interactions, we study the decay of massive particles in general FRW models and the emission from naked singularities either associated wit...
Hamiltonian motions of plane curves and formation of singularities and bubbles
Hamiltonian motions plane curves
2010/4/1
A class of Hamiltonian deformations of plane curves is defined and studied. Hamiltonian deformations of conics and cubics are considered as illustrative examples. These deformations are described by s...