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A White Noise Approach to Phase Space Feynman Path Integrals
White Noise Analysis Feynman Integrals Mathematical Physics
2011/1/18
The concepts of phase space Feynman integrals in White Noise Analysis are established.As an example the harmonic oscillator is treated. The approach perfectly reproduces the right physics. I.e. , solu...
Deforming symplectomorphism of irreducible Hermitian symmetric spaces of compact type by mean curvature flow
K¨ahler-Einstein manifold symplectomorphism mean curvature flow
2010/12/9
In this paper, we generalize Medos-Wang’s arguments and results on the mean curvature flow deformations of symplectomorphisms of CPn in [22] to complex Grassmann manifold G(n, n+m;C) and compact total...
Rational Surface Automorphisms with Positive Entropy
Rational Surface Automorphisms Positive Entropy
2010/12/3
The aim of this paper is to construct many examples of rational surface automorphisms
with positive entropy by means of the concept of orbit data. We show that if an orbit
data satisfies some mild c...
Uniqueness of Kottler spacetime and Besse conjecture
Uniqueness of Kottler spacetime Besse conjecture
2010/12/15
We establish a black hole uniqueness theorem for Schwarzschild-de Sitter spacetime, also called Kottler spacetime,which satisfies Einstein’s field equations of general relativity with positive cosmolo...
Gallavotti-Cohen-Type symmetry related to cycle decompositions for Markov chains and biochemical applications
cycle decompositions Markov chains biochemical applications
2010/12/10
We slightly extend the fluctuation theorem obtained in [24] for sums of generators, considering continuous–time Markov chains on a finite state space whose underlying graph has multiple edges and no l...