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ANALYTIC CYCLES,BOTT-CHERN FORMS,AND SINGULAR SETS FOR THE YANG-MILLS FLOW ON KAHLER MANIFOLDS
BOTT-CHERN FORMS SINGULAR SETS YANG-MILLS FLOW KAHLER MANIFOLDS
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2015/12/17
It is shown that the singular set for the Yang-Mills flow on unstable holomorphic vector bundles over compact K¨ahler manifolds is completely determined by the Harder-NarasimhanSeshadri filtration of ...
Unitary equivalence to a truncated Toeplitz operator: analytic symbols
Toeplitz operator model space truncated Toeplitz operator
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2011/2/24
Unlike Toeplitz operators on H2, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.
Analytic properties of fractional Schrödinger semigroups and Gibbs measures for symmetric stable processes
Schrö dinger semigroups Gibbs measures symmetric stable processes
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2010/11/18
We establish a Feynman-Kac-type formula to define fractional Schr\"odinger operators for fractional Kato-decomposable potentials as self-adjoint operators. In this functional integral representation ...
Analytic continuation of functions along parallel algebraic curves
Analytic continuation functions along parallel algebraic curves
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2010/11/11
In this work we study a problem about analytic continuation along parallel algebraic curves
Analytic Lyapunov exponents in a classical nonlinear field equation
Analytic Lyapunov exponents classical nonlinear field equation
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2010/11/2
It is shown that the nonlinear wave equation $\partial_t^2\phi - \partial^2_x \phi -\mu_0\partial_x(\partial_x\phi)^3 =0$, which is the continuum limit of the Fermi-Pasta-Ulam (FPU) beta model, has a...