On notions of harmonicity

نویسنده

  • Zhen-Qing Chen
چکیده

In this paper, we address the equivalence of the analytic and probabilistic notions of harmonicity in the context of general symmetric Hunt processes on locally compact separable metric spaces. Extensions to general symmetric right processes on Lusin spaces including infinite dimensional spaces are mentioned at the end of this paper. AMS 2000 Mathematics Subject Classification: Primary 60J45, 31C05; Secondary 31C25, 60J25

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Harmonicity and Minimality of Vector Fields on Lorentzian Lie Groups

‎We consider four-dimensional lie groups equipped with‎ ‎left-invariant Lorentzian Einstein metrics‎, ‎and determine the harmonicity properties ‎of vector fields on these spaces‎. ‎In some cases‎, ‎all these vector fields are critical points for the energy functional ‎restricted to vector fields‎. ‎We also classify vector fields defining harmonic maps‎, ‎and calculate explicitly the energy of t...

متن کامل

On subhamonicity for symmetric Markov processes

We establish the equivalence of the analytic and probabilistic notions of subharmonicity in the framework of general symmetric Hunt processes on locally compact separable metric spaces, extending an earlier work of the first named author on the equivalence of the analytic and probabilistic notions of harmonicity. As a corollary, we prove a strong maximum principle for locally bounded finely con...

متن کامل

Musical Consonance: The Importance of Harmonicity

A recent study suggests that musical consonance is based on harmonicity, a preference that reflects the central role of harmonicity in auditory perception.

متن کامل

ar X iv : m at h / 99 08 03 5 v 1 [ m at h . D G ] 9 A ug 1 99 9 1 Flat connections , Higgs operators , and Einstein metrics on compact

A flat complex vector bundle (E, D) on a compact Riemannian manifold (X, g) is stable (resp. polystable) in the sense of Corlette [C] if it has no D-invariant subbundle (resp. if it is the D-invariant direct sum of stable subbundles). It has been shown in [C] that the polystability of (E, D) in this sense is equivalent to the existence of a so-called harmonic metric in E. In this paper we consi...

متن کامل

Periodicity Detection Based on Instantaneous Frequency

Periodicity is commonly found in many physical phenomena. This paper describes the notion of instantaneous frequency amplitude spectrum (IFAS) which originally developed in the context of time-frequency signal analysis. The IFAS provides better the harmonic structure representation of speech signal than the short time Fourier transform (STFT) amplitude spectrum. We define harmonicity measure as...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008